Problem p02609 (C++) — buggy submission, verdict: Time Limit Exceeded

#include <bits/stdc++.h>
// #include "/usr/local/include/cxx_pretty_print/cxx_pretty_print.hpp"

using namespace std;
/* type aliases */
using i32 = int32_t;
using ui32 = uint32_t;
using i64 = int64_t;
using ui64 = uint64_t;
using i128 = __int128;
using f32 = float;
using f64 = double;
using f80 = long double;
using PII = pair<i32, i32>;
using PLL = pair<i64, i64>;
using PFF = pair<f32, f32>;
using PDD = pair<f64, f64>;
using VB = vector<bool>;
using VS = vector<string>;
using VI = vector<i32>;
using VL = vector<i64>;
using VF = vector<f32>;
using VD = vector<f64>;
using VVI = vector<VI>;
using VVL = vector<VL>;
using VVF = vector<VF>;
using VVD = vector<VD>;
using VPI = vector<PII>;
using VPL = vector<PLL>;
using VPF = vector<PFF>;
using VPD = vector<PDD>;
/* constants */
constexpr i64 mod = 1000000007;          // 10^9+7
constexpr i64 inf = 9000000000000000000; // 9*10^18
/* macros */
#define MAX(c) *max_element(ALL(c))
#define MIN(c) *min_element(ALL(c))
#define SIZE(c) (i64)((c).size()) // unsined int (size_t) -> int64_t
#define ALL(c) (c).begin(), (c).end()
#define RALL(c) (c).rbegin(), (c).rend()
#define REP(i, n) for (i64 i = 0; i < (i64)(n); ++i)     // 0 to n-1
#define REPD(i, n) for (i64 i = (i64)(n)-1; i >= 0; --i) // n-1 to 0
/* debug */
#define debug(x) cerr << #x << ": " << (x) << '\\n'
#define debugvec(v)                                                            \\
  for (size_t _ = 0; _ < (v).size(); ++_) {                                    \\
    cerr << #v << '[' << _ << "]: " << (v)[_] << '\\n';                         \\
  }
/* useful output */
auto print = [](auto x) { cout << (x) << '\\n'; };
template <class T> void printvec(T v, string sep = " ", string end = "\\n") {
  REP(i, SIZE(v) - 1) cout << v[i] << sep;
  cout << v[SIZE(v) - 1] << end;
}
/* useful input */
VS splitstr(string s, char delim = ' ') {
  VS v;
  string buf;
  stringstream ss{s};
  while (getline(ss, buf, delim))
    v.push_back(buf);
  return v;
}

i32 sim[200001] = {
    0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 3, 1, 2, 1, 2, 1, 1, 2, 3, 1,
    2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2,
    2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 2, 1, 2, 1, 1, 2, 3, 1, 2, 2,
    3, 2, 2, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 1, 2, 1, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2,
    2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
    2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 2, 1, 2, 2, 3, 1, 2, 1, 2, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2,
    3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 1,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3,
    2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
    2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2,
    2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 2,
    2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 1, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2,
    2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2,
    1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1,
    2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2,
    1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
    3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 1, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
    1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
    2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2,
    3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 2, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2,
    1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 1, 2, 2, 2, 2,
    1, 2, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2,
    2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 1, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 1, 3, 1, 2, 2, 2, 1, 3, 1, 2,
    1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1,
    3, 2, 3, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2,
    1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1,
    1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
    2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2,
    1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3,
    2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 2,
    1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2,
    1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2,
    2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    1, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    1, 1, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2,
    1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    1, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 2, 1, 2,
    1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 1,
    1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2,
    1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 1, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2,
    2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2,
    1, 2, 2, 3, 2, 2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 3, 1, 1, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3,
    1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3,
    3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2,
    2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
    1, 3, 1, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1,
    2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2,
    3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3,
    2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2,
    2, 1, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2,
    2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1,
    3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2,
    1, 3, 1, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2,
    2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2,
    1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2,
    2, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 1, 2,
    1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2,
    1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1,
    2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
    1, 3, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2,
    2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1,
    1, 2, 3, 3, 2, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
    3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2,
    2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2,
    1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2,
    2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 3, 1, 3, 2,
    1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    1, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1,
    2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 1,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2,
    2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 1, 2, 3, 1,
    2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2,
    2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1,
    2, 2, 3, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 1, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3,
    3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 1, 2, 2,
    3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1,
    2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 1, 1,
    1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
    2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2,
    1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 1,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1,
    2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 3, 3,
    1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1,
    1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 1, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2,
    3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1,
    2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3,
    2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2,
    3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3,
    1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3,
    2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 1,
    2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 1, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2,
    3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1,
    1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 1,
    2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3,
    3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
    2, 3, 3, 1, 3, 1, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 1, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 1, 2, 1, 2, 2, 3,
    1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1,
    2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2,
    1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2,
    1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2,
    2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
    2, 1, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
    2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3,
    1, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3,
    1, 3, 2, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2,
    2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2,
    3, 1, 2, 3, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2,
    1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
    2, 2, 2, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2,
    2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2,
    2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
    1, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3,
    1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
    2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2,
    1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2,
    3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2,
    2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1,
    3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3,
    1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2,
    3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 1,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3,
    1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    1, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
    2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2,
    2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2,
    1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 1, 3, 2,
    2, 1, 2, 3, 3, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 3, 3, 3, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3,
    2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2,
    1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1,
    2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1,
    2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 2, 3, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3,
    3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2,
    3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3,
    1, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3,
    2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
    2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
    2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1,
    3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3,
    1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 3, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 1, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2,
    2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1, 2, 1, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2,
    1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1,
    2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
    3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 3, 2,
    1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1,
    2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3,
    2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2,
    1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1,
    3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1,
    1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 2, 3, 1, 1,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3,
    2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3,
    2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1,
    3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2,
    2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
    3, 3, 3, 2, 1, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
    3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 3, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 2, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2,
    1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2,
    2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1,
    2, 3, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    1, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 2, 1, 2,
    1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3,
    3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
    1, 3, 1, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2,
    1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2,
    2, 2, 1, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 1, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1,
    1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3,
    1, 3, 2, 1, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2,
    2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 2, 1, 2, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3,
    1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1,
    3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 3, 3,
    1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3,
    2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1,
    2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2,
    1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2,
    3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3,
    1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1,
    3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3,
    1, 3, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2,
    3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3,
    2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2,
    2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3,
    1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3,
    3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2,
    1, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2,
    1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 1,
    1, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3,
    3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
    1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 1, 2,
    3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 3, 3,
    2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2,
    2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2,
    1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
    3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3,
    2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2,
    1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3,
    1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2,
    2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 3, 3,
    1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 1, 3, 1, 2, 2,
    2, 1, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 1, 2, 2,
    3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2,
    3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1,
    2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2,
    3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 1, 2,
    3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2,
    2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    1, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1,
    2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2,
    1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    1, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2,
    1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 2,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1,
    1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2,
    3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2,
    2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
    1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
    2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1,
    2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2,
    3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2,
    1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3,
    2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 3, 2,
    2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1,
    3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2,
    2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
    2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 1, 2, 3, 3, 2,
    2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3,
    1, 3, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 1, 2, 2,
    3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
    2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
    2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2,
    2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2,
    3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 1, 2,
    3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1,
    1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 2, 2, 3, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1,
    1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2,
    1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2,
    1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 2,
    2, 1, 2, 1, 3, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3,
    2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3,
    3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2,
    1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3,
    2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 3, 3,
    1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
    2, 2, 2, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3,
    2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 3, 1, 1, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
    3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
    2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2,
    1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3, 3,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
    2, 2, 1, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2,
    3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2,
    1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 2, 3,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
    3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
    3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 1,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    1, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2,
    3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 3, 2, 2, 2,
    2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2,
    2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2,
    1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2,
    2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2,
    2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
    3, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
    3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
    1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
    3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1,
    2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 3,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2,
    3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2,
    3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
    3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
    2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 1, 2,
    3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
    2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3,
    3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
    1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 1, 2, 3,
    3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 2, 2, 2,
    3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1,
    2, 2, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
    3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3,
    1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3,
    2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2,
    3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2,
    2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2,
    3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 1, 2, 2,
    3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3,
    1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
    2, 2, 3, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3,
    2, 2, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
    2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
    1, 3, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
    3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2,
    1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2,
    2, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 1, 2,
    1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3,
    3, 1, 2, 3, 2, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 3, 2,
    2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
    2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1,
    2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
    2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 1, 3, 2,
    3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3,
    1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 1, 2,
    1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 2, 3,
    3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
    2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2,
    1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3,
    2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1,
    2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3,
    2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2,
    3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1,
    2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2,
    2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2,
    2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 1, 2,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2,
    1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 1, 2,
    3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1,
    1, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2,
    2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
    1, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 1, 2, 3, 3, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 3, 3,
    2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 2, 2,
    2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2,
    1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2,
    3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2,
    2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 1,
    2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3,
    2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    1, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 2,
    1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1,
    1, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2,
    2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1,
    3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1,
    2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3,
    1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 1, 1, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3,
    1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 1,
    3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 2, 1, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1, 2, 1, 3, 3, 3,
    1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1,
    2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
    1, 3, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
    3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 1, 2, 3, 3, 2,
    2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 1,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1,
    3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
    1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 1, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3,
    2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1,
    1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2,
    2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1,
    3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
    1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 3, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1,
    1, 2, 2, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2,
    3, 3, 1, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2,
    3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
    3, 2, 1, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2,
    3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1,
    2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    1, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3,
    2, 2, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 2, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
    2, 2, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 1, 1,
    2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3,
    1, 3, 2, 1, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2,
    2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2,
    2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 3, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3,
    1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
    1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2,
    3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2,
    1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3,
    2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 2, 2, 2,
    2, 1, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1,
    3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 1, 1, 2, 3,
    3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2,
    2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2,
    2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 1, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 1,
    1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2,
    2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2,
    2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2,
    3, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2,
    2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 3, 2, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3,
    1, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 3,
    1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3,
    2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 3, 2,
    2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 2, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
    3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
    1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3,
    2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3,
    2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3,
    1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
    1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
    3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
    3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
    2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    3, 3, 3, 2, 3, 1, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3,
    1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1,
    1, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2, 1,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2,
    3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2,
    2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 1,
    2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
    3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
    2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1,
    2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3,
    1, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 1,
    3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2,
    3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
    1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2,
    3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3,
    1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2,
    3, 3, 2, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
    3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 1, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 1, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2,
    3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1,
    1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2,
    3, 2, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
    2, 2, 3, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 2,
    1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1,
    2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
    3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2,
    2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3,
    3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
    1, 3, 1, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1,
    2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2,
    2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
    3, 2, 1, 3, 2, 1, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3,
    1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1,
    3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 3,
    2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2,
    2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
    3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3,
    2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
    1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2,
    2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
    1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3,
    1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2,
    2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
    3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 1, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
    1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2,
    2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 1, 1, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
    1, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 1, 2,
    3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2,
    1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
    3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 1, 3, 1, 2, 2,
    2, 1, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 1, 1, 2, 2,
    3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2,
    3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
    3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3,
    2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 1, 2, 3,
    3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1,
    3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1,
    2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 1, 2, 3, 3, 3,
    2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    1, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1,
    1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3,
    2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2,
    1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
    3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 3, 3, 2, 3,
    1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
    3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
    3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3,
    3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2,
    2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 1,
    1, 2, 3, 3, 1, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2,
    3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3,
    1, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2,
    3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2,
    2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 2,
    2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2,
    3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2,
    3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 2, 2,
    3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
    3, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
    2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 3, 1, 1, 2,
    3, 3, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 1, 3,
    3, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2,
    2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2,
    3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1,
    2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2,
    1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2,
    3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2,
    3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2,
    3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
    1, 2, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 3, 1,
    1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 1, 2, 3,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
    3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1,
    2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
    1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
    3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1,
    2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 1, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3,
    2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1,
    3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3,
    3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3,
    3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2,
    2, 1, 3, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3,
    1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
    1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 2,
    2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2,
    3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1,
    3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
    2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 1, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3,
    3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2,
    1, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1,
    3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 1, 1, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2,
    3, 2, 3, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
    1, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 2,
    3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1,
    3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1,
    3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2,
    1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
    3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
    1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 1,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 1, 1, 3, 2, 2, 2, 3, 2,
    2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3,
    3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 1, 2, 3,
    3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3,
    2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2,
    2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
    2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1,
    1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2,
    3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 1, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1,
    3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 3, 2, 2,
    1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 3,
    3, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
    3, 3, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 3, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3,
    3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 2, 1, 2,
    3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
    2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2,
    3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2,
    2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 4, 1, 2, 1, 2, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2,
    2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2,
    1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1,
    1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    1, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 2, 2, 2,
    1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 1,
    2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2,
    2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2,
    2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 3, 3,
    1, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2,
    3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3,
    1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
    2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1,
    1, 3, 2, 2, 1, 2, 1, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 3,
    1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1,
    2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 1, 3, 2,
    2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2,
    1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
    1, 3, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1, 3, 1, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 1, 2,
    3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2,
    2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1,
    1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2,
    1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1,
    1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 2,
    2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2,
    1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2,
    2, 2, 1, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2,
    2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1,
    2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3,
    2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 1, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3,
    2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
    2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 1, 2, 2, 3, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1,
    2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2,
    3, 2, 3, 1, 1, 1, 3, 2, 2, 1, 2, 1, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    1, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 2,
    1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
    2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2,
    3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1,
    1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
    2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3,
    3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 1, 2,
    3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3,
    2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2,
    1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
    2, 3, 3, 3, 3, 2, 3, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
    2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2,
    1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1,
    2, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 2, 1, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1,
    1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3,
    1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 3, 3,
    1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 1, 2,
    1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2,
    3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3,
    3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3,
    1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2,
    2, 2, 3, 2, 1, 1, 2, 2, 2, 2, 2, 1, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2,
    2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2,
    3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3,
    1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
    1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2,
    2, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
    3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2,
    1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 3, 1, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
    1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 3, 1, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2,
    2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
    3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1,
    1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 1,
    2, 2, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3,
    3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
    3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2,
    2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 1,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1,
    3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2,
    2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
    2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 2, 2, 3, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
    2, 3, 3, 1, 3, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1,
    2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3,
    1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 3, 1, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 3, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 3,
    1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
    3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
    1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 1, 2,
    3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2,
    2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2,
    2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2,
    1, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 1, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1,
    2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3,
    2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2,
    3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1,
    3, 2, 3, 2, 1, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 1,
    2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3,
    1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 1, 2, 2,
    2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3,
    1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
    2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 1, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 1, 2,
    3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 3, 3,
    1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1,
    2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
    3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2,
    1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2,
    2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2,
    3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 2,
    2, 1, 2, 1, 3, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 1,
    1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 3, 3, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3,
    2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 1, 1, 2,
    2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3,
    1, 3, 2, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 1,
    3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3,
    3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 3, 3,
    1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3,
    3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
    2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2,
    3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
    3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1,
    3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3,
    3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 3,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
    1, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2,
    1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3,
    2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 3, 2, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2,
    1, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 2, 3, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2,
    3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 3, 3,
    1, 2, 2, 2, 1, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1,
    1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 1, 2, 2,
    2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1, 2, 1, 3, 3, 3, 1, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1,
    2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
    3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2,
    1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2,
    1, 3, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3,
    3, 1, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3,
    3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 1, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2,
    2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 1,
    2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
    3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
    2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3,
    3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
    3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3,
    3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 1, 2,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
    3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
    3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2,
    3, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2,
    2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2,
    2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2,
    1, 3, 2, 2, 2, 2, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 1, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
    1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 3,
    3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
    3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 1, 2, 3, 1,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2,
    3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
    1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1,
    1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2,
    2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2,
    3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2,
    2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2,
    2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 1, 3, 1, 2, 2,
    2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1,
    2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 1, 2,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2,
    1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 3, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2,
    1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
    3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 1,
    2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 1, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3,
    1, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
    1, 2, 3, 3, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2,
    3, 3, 1, 3, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2,
    3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
    1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3,
    2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1,
    2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3,
    1, 3, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2,
    3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2,
    2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2,
    2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
    1, 2, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 1, 2, 2,
    3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
    2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 3, 1, 1, 2,
    3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3,
    3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3,
    3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1,
    1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 1, 2, 3, 3, 2,
    2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2,
    2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1,
    2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 1, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3,
    2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
    3, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1,
    3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
    3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 1,
    2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
    3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
    3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1,
    2, 3, 3, 1, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
    3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
    2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
    2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3,
    3, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
    2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2,
    3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 1, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1,
    2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 1, 1, 1, 2, 3,
    3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2,
    2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 1, 3, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2,
    2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
    2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2,
    3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1,
    3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1,
    1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 3, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 3, 1, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    1, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
    2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 1, 3, 2, 1, 2,
    3, 2, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1,
    2, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
    3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3,
    3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 1, 2, 3, 3, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3,
    1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2,
    2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
    2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
    2, 2, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3,
    3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2,
    3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3,
    1, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
    3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
    3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2,
    1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2,
    3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2,
    2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3,
    2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
    1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3,
    1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
    2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2,
    3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2,
    2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    1, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 1, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 1, 2, 3,
    3, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3,
    3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1,
    2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
    2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
    1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1,
    2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2,
    1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2,
    3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
    3, 1, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 3, 1, 3, 1, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2,
    2, 3, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3,
    1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3,
    3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
    3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3,
    2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
    2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1,
    2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 3,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 1,
    1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2,
    2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3,
    2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 1, 1, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3,
    3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
    3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 1,
    3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1,
    2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 1, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2,
    3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1,
    2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3,
    1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1,
    2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1, 3, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3,
    3, 3, 2, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 1, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2,
    2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    3, 2, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 3,
    3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 3, 2, 2, 3, 3, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2,
    3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
    2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1,
    2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
    3, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
    1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3,
    3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2,
    3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2,
    2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 1, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3,
    1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3,
    3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3,
    3, 1, 2, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2,
    1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2,
    2, 2, 3, 4, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2,
    1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1,
    2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1,
    1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1,
    3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2,
    2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2,
    1, 3, 1, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2,
    3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2,
    2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3,
    1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
    2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 1, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1,
    2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2,
    3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1,
    1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 1,
    2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 2, 3, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
    3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 2, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
    3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1,
    2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
    3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3,
    3, 2, 3, 2, 1, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3,
    1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 1, 2, 2,
    2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2,
    1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2,
    1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3,
    3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1,
    2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1,
    2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 1, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2,
    2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
    1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2,
    3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2,
    3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 3, 2, 2,
    1, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2,
    3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
    1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3,
    2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2,
    3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 3,
    1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
    2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
    2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
    3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
    3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2,
    2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2,
    3, 1, 3, 2, 3, 1, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1,
    2, 1, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2,
    3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2,
    3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3,
    3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3,
    2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2,
    3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3,
    2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 1,
    1, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
    1, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
    3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2,
    1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2,
    2, 2, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1,
    2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2,
    3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 1, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3,
    3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 2, 3,
    3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
    2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2,
    3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 1, 1, 3, 2, 2, 2, 3, 2,
    2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 2,
    2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 1, 1, 3, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3,
    1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
    1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1,
    2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1,
    3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
    3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 3,
    2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1,
    2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1,
    1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1,
    3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
    2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2,
    1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    1, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 1,
    2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1,
    1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2,
    3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
    1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3,
    3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2,
    2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
    3, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1,
    3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 3,
    1, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2,
    3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 1, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3,
    3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1,
    2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 2,
    2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2,
    2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 1,
    1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2,
    2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2,
    2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 2, 3, 4, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
    1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 3, 3,
    2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3,
    2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2,
    2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 1,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3,
    3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3,
    3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
    3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2,
    2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2,
    3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2,
    2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1,
    2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
    3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 3, 3,
    3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2,
    3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
    3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 3, 1, 2, 2, 2, 3,
    3, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3,
    3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2,
    2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
    3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2,
    3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
    1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
    2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
    3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
    3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3,
    2, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3,
    1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2,
    2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1,
    2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 1, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 1, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3,
    2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1,
    2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3,
    3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 1, 2, 3, 3, 3,
    1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2,
    2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
    3, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3,
    1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3,
    1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    3, 3, 1, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
    1, 1, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2,
    1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 3, 3, 1, 2, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3,
    1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2,
    3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 3,
    2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
    2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
    1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 3, 3, 2, 2,
    1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3,
    3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 3, 3, 2, 2, 2,
    2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 1, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3,
    3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 1, 3,
    1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2,
    2, 2, 3, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
    2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    1, 3, 2, 2, 2, 1, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
    3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3,
    3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2,
    2, 2, 2, 3, 4, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
    2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 2, 3, 3, 3,
    1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
    3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 2, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3,
    3, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
    3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 2, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3,
    3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
    3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
    1, 2, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
    3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 3, 2, 3,
    1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 1,
    1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2,
    3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 1, 2, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3,
    1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3,
    1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
    3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1,
    2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3,
    2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3,
    3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3,
    3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2,
    2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 2, 1,
    2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3,
    4, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2,
    2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 3,
    1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 1, 2, 2,
    3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 1, 1, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
    1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 3, 2, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
    3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 1, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 1, 3, 2,
    3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3,
    2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
    3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3,
    2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2,
    3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 2, 2,
    2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2,
    3, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 3, 2, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 3, 4, 1,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3,
    3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2,
    2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2,
    2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 1, 3, 2, 2, 2, 2,
    2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
    3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2,
    2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3,
    2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 3, 3,
    3, 2, 2, 3, 1, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 3, 4, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 2, 3, 3, 1,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 2, 3, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 2, 3,
    2, 1, 2, 3, 3, 1, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3,
    1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 4, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 2, 2, 2, 2, 3, 4, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    2, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 3, 4, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 3, 4, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 1, 2, 1,
    2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2,
    1, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2,
    1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 1, 2, 3, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 2, 3, 2,
    1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2,
    1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2,
    2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1,
    1, 2, 3, 3, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 1, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 1, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 3, 2,
    2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 1, 2, 2,
    3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
    1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3,
    1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1,
    2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
    2, 1, 1, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2,
    3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3,
    1, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3,
    1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1,
    3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2,
    3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2,
    2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
    2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2,
    1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 3, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 3,
    2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2,
    3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1,
    1, 3, 2, 2, 1, 2, 1, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 1,
    1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2,
    1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2,
    1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
    3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2,
    1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3,
    3, 1, 2, 3, 2, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2,
    2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2,
    3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1,
    2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
    3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2,
    1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
    3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 1, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
    1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2,
    1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
    2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2,
    3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1,
    2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2,
    2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2,
    2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 1, 2,
    3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
    1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
    2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2,
    2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 2, 2,
    2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3,
    1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
    3, 2, 1, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
    3, 3, 3, 2, 3, 1, 1, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3,
    3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 1,
    1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3,
    2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1, 1, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 1, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3,
    3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2,
    3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 1,
    2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
    1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1,
    3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2,
    1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2,
    3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1,
    2, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2,
    1, 1, 2, 3, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 2,
    1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
    1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 1, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 1, 1, 2,
    3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2,
    2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3,
    2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2,
    1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2,
    2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
    2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3,
    1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1,
    2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 2,
    2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2,
    3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2,
    1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2,
    1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1,
    2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2,
    2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1,
    1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
    1, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2,
    3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2,
    2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
    2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,
    1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
    2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3,
    2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2,
    3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2,
    3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3,
    2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2,
    2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1,
    2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3,
    1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
    2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3,
    3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
    3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1,
    2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3,
    3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3,
    1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 3, 2, 3, 3, 2,
    3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
    1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
    3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3,
    1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2,
    3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1,
    3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2,
    3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2,
    1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2,
    1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3,
    2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1,
    3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 1, 2,
    2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2,
    1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3,
    2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
    1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2,
    2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1,
    3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 1, 2, 3, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 1, 2, 3, 3, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2,
    1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 1, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1,
    2, 1, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 2,
    2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2,
    3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2,
    1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 3, 3, 1, 1, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
    2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3,
    3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3,
    3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
    1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2,
    3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 2, 2, 2, 2, 1, 3, 3, 3,
    2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1,
    3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    1, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
    3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 1, 1, 3,
    2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 1, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1,
    2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2,
    2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
    3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
    1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2,
    3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 2, 2,
    2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3,
    2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
    2, 3, 3, 1, 3, 1, 1, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
    1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
    3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 1, 2,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2,
    3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    1, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3,
    3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
    2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3,
    2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
    3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 1,
    1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3,
    3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
    2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2,
    2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 2,
    1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 1, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
    3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2,
    3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3,
    2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1,
    2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 1,
    1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3,
    1, 2, 2, 1, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3,
    1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3,
    3, 2, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    3, 3, 1, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 3, 2, 2, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 3,
    3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
    3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 1, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 3, 1, 3, 2,
    1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 1,
    3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
    2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 3, 3,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3,
    2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
    1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 1, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 1, 3, 3,
    1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3,
    2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2,
    3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2,
    1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
    2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2,
    1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1,
    3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2,
    2, 1, 2, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 1, 2,
    2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1,
    2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2,
    3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 1, 3, 2, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 1, 1, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1,
    2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3,
    3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 1,
    1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3,
    3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2,
    3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1,
    2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 2, 1,
    3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3,
    1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    2, 2, 3, 2, 1, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1,
    2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    1, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3,
    3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 1, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 1, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
    2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 1, 2,
    3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
    1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2,
    2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3,
    3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 1, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
    2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 3, 2, 1, 2, 3,
    1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 3, 3, 2, 2, 1, 1, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1,
    3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    1, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3,
    1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    1, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 3, 3,
    3, 2, 2, 1, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
    2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3,
    1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 2, 1, 2, 3, 2, 2, 2, 3, 3, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 2,
    1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 2,
    1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 3, 2, 1, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2,
    3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1,
    2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 4, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2,
    2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2,
    1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2,
    2, 1, 2, 3, 3, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
    3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3,
    3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 1, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 1, 2,
    2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 3, 2,
    2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2,
    1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1,
    3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2,
    3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2,
    2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 2, 3, 2,
    1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2,
    2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2,
    2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3,
    2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1,
    3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2,
    3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2,
    3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3,
    2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 2, 3,
    3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3,
    1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3,
    1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 1, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1,
    3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3,
    3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 1, 2, 3, 3, 3, 2, 1,
    1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 3,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3,
    2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2,
    3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 1, 1, 2, 1, 3, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1,
    2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
    2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2,
    3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
    3, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3,
    1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
    2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1,
    2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3,
    1, 3, 2, 1, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1,
    3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3,
    3, 1, 3, 2, 2, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3,
    3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    1, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 1, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2,
    2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
    3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 3, 3, 2, 3, 2, 1,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2,
    3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2,
    2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1,
    2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1,
    1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
    2, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 3, 3, 2, 2,
    1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2,
    1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 3, 3,
    2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 1,
    2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1,
    3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
    2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 1,
    2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3,
    3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1,
    3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 1, 3, 2, 3,
    1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 1, 2,
    3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
    1, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1,
    2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 1, 2, 3, 3,
    3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 3, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 1,
    1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
    1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1,
    1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
    2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
    3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 1, 2, 3, 3, 2,
    2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 1,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3,
    2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2,
    2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1,
    2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    3, 3, 1, 2, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 1,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
    3, 2, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
    2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 3, 2, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
    3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
    2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
    3, 3, 3, 2, 1, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2,
    2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
    3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 2, 2, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2,
    3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2,
    3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3,
    3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 1, 2, 3, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1,
    2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2,
    2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
    3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
    1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3,
    3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2,
    1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 2, 1, 3,
    2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3,
    1, 1, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3,
    1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3,
    2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1,
    3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3,
    2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2,
    3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2,
    3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 1, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 3,
    3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
    1, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 3,
    1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 1, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3,
    3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2,
    3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 3, 3, 1, 3, 2, 1, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2,
    3, 2, 3, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 1, 2, 3, 3, 3,
    2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 3, 2, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1,
    1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2,
    2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    1, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 1, 2, 2, 3,
    3, 1, 2, 3, 3, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 3, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
    2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
    2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2,
    3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    1, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
    3, 1, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 3, 2, 1, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2,
    3, 2, 1, 2, 3, 3, 1, 3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2,
    3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1,
    2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2,
    3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3,
    1, 3, 1, 3, 2, 1, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1,
    3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
    2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2,
    2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1,
    1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 3, 3, 1, 3,
    1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 2,
    2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3,
    2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3,
    2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 4, 2,
    2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1,
    1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1,
    3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
    2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3,
    3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
    2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2,
    3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
    3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2,
    3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 1,
    2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3,
    2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1,
    2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3,
    3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
    1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
    1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2,
    2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
    1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2,
    3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
    1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1,
    3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1,
    3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2,
    2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 3, 2, 2,
    1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 1, 2, 3, 3, 2, 2, 1, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
    2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
    3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2,
    1, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
    2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3,
    3, 2, 2, 3, 1, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3,
    2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3,
    2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
    3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
    3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2,
    2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 2, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 3,
    1, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1,
    2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 1, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3, 3,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 3, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2,
    3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 3,
    2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2,
    2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2,
    3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    1, 3, 1, 1, 2, 3, 3, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2,
    3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 3,
    3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 1,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3,
    3, 1, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 1, 3,
    2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 2, 1, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 2, 2, 1, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2,
    1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3,
    3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 2, 1, 2, 1,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3,
    3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
    1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3,
    2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
    1, 1, 2, 2, 3, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    1, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3,
    3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3,
    3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3,
    2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 3, 2, 3, 3, 2,
    3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3,
    3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 1, 1,
    2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3,
    2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 3, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2,
    3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 3, 4, 1, 2, 3, 2, 1, 3, 2, 2, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2,
    2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
    2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 2, 3, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2,
    3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3,
    2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 2, 2, 2,
    3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    1, 2, 3, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2,
    2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
    1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2,
    2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 1, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
    2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3,
    3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3,
    3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3,
    1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2,
    1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1,
    2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 3, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
    3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 1, 3,
    2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
    1, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1,
    2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1,
    3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 3, 2,
    3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
    1, 1, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2,
    2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1,
    2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1,
    1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2,
    3, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1,
    3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 2,
    3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
    2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1,
    3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2,
    1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3,
    3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3,
    2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3,
    3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2,
    2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1,
    2, 3, 3, 1, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3,
    2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2,
    3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 3,
    3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1,
    3, 2, 1, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 2,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
    3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    1, 2, 3, 3, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 1, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
    3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 1,
    2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2,
    3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3,
    3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3,
    3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 1, 4, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
    3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2,
    3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2,
    2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
    3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 3, 2,
    3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2,
    3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    2, 1, 3, 2, 2, 1, 2, 1, 3, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2,
    2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
    1, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
    1, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3,
    3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3,
    2, 3, 2, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2,
    3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3,
    3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1,
    2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
    3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1,
    1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2,
    2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3,
    3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3,
    2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 3,
    1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1,
    2, 3, 3, 1, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
    3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3,
    2, 2, 3, 3, 2, 3, 2, 3, 2, 4, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 3,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
    1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2,
    2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
    3, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2,
    2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
    1, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3,
    3, 1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2,
    1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
    1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
    3, 2, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2,
    1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 3,
    1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2,
    3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2,
    3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
    2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2,
    1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3,
    2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2,
    3, 2, 3, 2, 3, 1, 3, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
    3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
    2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2,
    3, 3, 2, 2, 3, 3, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
    3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
    1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2,
    3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 3, 3, 2,
    3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
    1, 2, 3, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
    2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1,
    2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
    3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3,
    2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
    3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 3, 4, 1, 3, 2, 3,
    2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
    2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2,
    3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 2, 2,
    2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 3,
    1, 4, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2,
    2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3,
    2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2,
    3, 1, 3, 2, 4, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2,
    1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3,
    3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 4, 3, 3, 2, 1, 1, 2,
    3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3,
    4, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 3, 1, 4, 2, 3, 2, 3, 2, 3, 2, 3,
    2, 3, 2, 3, 3, 3, 3, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2,
    1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2,
    2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2,
    2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
    2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3,
    1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1,
    2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2,
    3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
    3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3,
    1, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1,
    3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
    3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2,
    2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 2, 3, 2, 3, 1, 3,
    1, 3, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
    3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
    3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 1,
    1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2,
    2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3,
    3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
    1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
    1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2,
    1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1,
    3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
    3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
    3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3,
    2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
    2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1,
    2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 3, 2,
    3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
    2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2,
    1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
    3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2,
    1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
    2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3,
    1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3,
    2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3,
    3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2,
    3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2,
    2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2,
    2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2,
    2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 1, 3, 2,
    1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3,
    2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
    2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3,
    3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3,
    2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
    3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1,
    2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3,
    1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2,
    2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
    2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
    1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2,
    2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3,
    3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3,
    1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2,
    2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2,
    2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
    3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2,
    2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1,
    2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
    3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
    1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1,
    2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
    2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2,
    3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2,
    2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2,
    3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
    2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2,
    2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
    1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2,
    2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 3, 3,
    2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,
    2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2,
    2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1,
    2, 1, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2,
    3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2,
    3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1,
    2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
    2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2,
    3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2,
    3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
    2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2,
    1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
    1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 1, 2, 2, 3, 2,
    2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2,
    1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2,
    2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
    2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2,
    2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2,
    2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
    3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 1, 2, 2, 3, 3,
    1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
    3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2,
    2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 2,
    2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
    2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
    2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3,
    2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2,
    3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2,
    1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
    3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
    3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
    3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3,
    2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1,
    3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2,
    3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
    3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3,
    1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1,
    3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
    2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 3,
    3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
    2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
    3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3,
    2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
    2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
    2,
};

// void simulate(VI& sim) {
//     i32 n = SIZE(sim);
//     for (i32 i = 1; i < n; ++ i) {
//         sim.at(i) = sim.at(i % __builtin_popcount(i)) + 1;
//     }
// }

void Main() {
  i32 n;
  string s;
  cin >> n >> s;
  i32 popcnt{};
  REP(i, n) if (s[i] == '1')++ popcnt;

  VI modpowincf(n, 1); // modpowincf[i] = (2 ^ i) % (popcnt + 1)
  if (popcnt != n) {
    for (i32 i = 1; i < n; ++i) {
      modpowincf[i] = (modpowincf[i - 1] << 1) % (popcnt + 1);
    }
  }

  VI modpowdecf(n, 1);
  if (popcnt - 1 != 0) {
    for (i32 i = 1; i < n; ++i) {
      modpowdecf[i] = (modpowdecf[i - 1] << 1) % (popcnt - 1);
    }
  }

  i32 incfver{}, decfver{};
  REP(i, n) {
    i32 j = n - 1 - i;
    if (s[i] == '1') {
      if (popcnt != n)
        incfver = (incfver + modpowincf[j]) % (popcnt + 1);
      if (popcnt - 1 != 0)
        decfver = (decfver + modpowdecf[j]) % (popcnt - 1);
    }
  }

  // VI sim(n, 0);
  // simulate(sim);

  REP(i, n) {
    // s[i] のビットを反転させて処理回数を計算する
    i32 j = n - 1 - i;
    i32 ans{};
    if (s[i] == '1') {
      // debug(i);
      // debug(decfver);
      if (popcnt - 1 != 0) {
        i32 num = (decfver + (popcnt - 1) - modpowdecf[j]) % (popcnt - 1);
        ans += 1 + sim[num];
      }
    } else {
      // debug(i);
      // debug(incfver);
      i32 num = (incfver + modpowincf[j]) % (popcnt + 1);
      ans += 1 + sim[num];
    }
    print(ans);
  }
}

signed main() {
  cin.tie(nullptr); // cin と cout の tie を切り高速化
  cout << fixed
       << setprecision(
              15); // 浮動小数点数が 1e-006 のように表示されることを防ぐ
  Main();
}

Error: TLE

Fixed submission:

#include <bits/stdc++.h>
// #include "/usr/local/include/cxx_pretty_print/cxx_pretty_print.hpp"

using namespace std;
/* type aliases */
using i32 = int32_t;
using ui32 = uint32_t;
using i64 = int64_t;
using ui64 = uint64_t;
using i128 = __int128;
using f32 = float;
using f64 = double;
using f80 = long double;
using PII = pair<i32, i32>;
using PLL = pair<i64, i64>;
using PFF = pair<f32, f32>;
using PDD = pair<f64, f64>;
using VB = vector<bool>;
using VS = vector<string>;
using VI = vector<i32>;
using VL = vector<i64>;
using VF = vector<f32>;
using VD = vector<f64>;
using VVI = vector<VI>;
using VVL = vector<VL>;
using VVF = vector<VF>;
using VVD = vector<VD>;
using VPI = vector<PII>;
using VPL = vector<PLL>;
using VPF = vector<PFF>;
using VPD = vector<PDD>;
/* constants */
constexpr i64 mod = 1000000007;          // 10^9+7
constexpr i64 inf = 9000000000000000000; // 9*10^18
/* macros */
#define MAX(c) *max_element(ALL(c))
#define MIN(c) *min_element(ALL(c))
#define SIZE(c) (i64)((c).size()) // unsined int (size_t) -> int64_t
#define ALL(c) (c).begin(), (c).end()
#define RALL(c) (c).rbegin(), (c).rend()
#define REP(i, n) for (i64 i = 0; i < (i64)(n); ++i)     // 0 to n-1
#define REPD(i, n) for (i64 i = (i64)(n)-1; i >= 0; --i) // n-1 to 0
/* debug */
#define debug(x) cerr << #x << ": " << (x) << '\\n'
#define debugvec(v)                                                            \\
  for (size_t _ = 0; _ < (v).size(); ++_) {                                    \\
    cerr << #v << '[' << _ << "]: " << (v)[_] << '\\n';                         \\
  }
/* useful output */
auto print = [](auto x) { cout << (x) << '\\n'; };
template <class T> void printvec(T v, string sep = " ", string end = "\\n") {
  REP(i, SIZE(v) - 1) cout << v[i] << sep;
  cout << v[SIZE(v) - 1] << end;
}
/* useful input */
VS splitstr(string s, char delim = ' ') {
  VS v;
  string buf;
  stringstream ss{s};
  while (getline(ss, buf, delim))
    v.push_back(buf);
  return v;
}

// void simulate(VI& sim) {
//     i32 n = SIZE(sim);
//     for (i32 i = 1; i < n; ++ i) {
//         sim.at(i) = sim.at(i % __builtin_popcount(i)) + 1;
//     }
// }

void Main() {
  i32 n;
  string s;
  cin >> n >> s;
  i32 popcnt{};
  REP(i, n) if (s.at(i) == '1')++ popcnt;

  VI modpowincf(n, 1); // modpowincf[i] = (2 ^ i) % (popcnt + 1)
  if (popcnt != n) {
    for (i32 i = 1; i < n; ++i) {
      modpowincf.at(i) = (modpowincf.at(i - 1) << 1) % (popcnt + 1);
    }
  }

  VI modpowdecf(n, 1);
  if (popcnt - 1 != 0) {
    for (i32 i = 1; i < n; ++i) {
      modpowdecf.at(i) = (modpowdecf.at(i - 1) << 1) % (popcnt - 1);
    }
  }

  i32 incfver{}, decfver{};
  REP(i, n) {
    i32 j = n - 1 - i;
    if (s.at(i) == '1') {
      if (popcnt != n)
        incfver = (incfver + modpowincf.at(j)) % (popcnt + 1);
      if (popcnt - 1 != 0)
        decfver = (decfver + modpowdecf.at(j)) % (popcnt - 1);
    }
  }

  // VI sim(n, 0);
  // simulate(sim);
  i32 sim[200001] = {
      0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 3, 1, 2, 1, 2, 1, 1, 2, 3, 1,
      2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2,
      2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 2, 1, 2, 1, 1, 2, 3, 1, 2, 2,
      3, 2, 2, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 1, 2, 1, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2,
      2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
      2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 2, 1, 2, 2, 3, 1, 2, 1, 2, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2,
      3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 1,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3,
      2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
      2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2,
      2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 2,
      2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 1, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2,
      2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2,
      1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1,
      2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2,
      1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
      3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 1, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
      1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
      2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2,
      3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 2, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2,
      1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 1, 2, 2, 2, 2,
      1, 2, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2,
      2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 1, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 1, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 1, 3, 1, 2, 2, 2, 1, 3, 1, 2,
      1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1,
      3, 2, 3, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2,
      1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1,
      1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
      2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2,
      1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3,
      2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 2,
      1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2,
      1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2,
      2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      1, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      1, 1, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2,
      1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      1, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 2, 1, 2,
      1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 1,
      1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2,
      1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 1, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2,
      2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2,
      1, 2, 2, 3, 2, 2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 3, 1, 1, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3,
      1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3,
      3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2,
      2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
      1, 3, 1, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1,
      2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2,
      3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3,
      2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2,
      2, 1, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2,
      2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1,
      3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2,
      1, 3, 1, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2,
      2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2,
      1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2,
      2, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 1, 2,
      1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2,
      1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1,
      2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
      1, 3, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2,
      2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1,
      1, 2, 3, 3, 2, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
      3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2,
      2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2,
      1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2,
      2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 3, 1, 3, 2,
      1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 1, 1, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      1, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1,
      2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 1,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2,
      2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 1, 2, 3, 1,
      2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2,
      2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1,
      2, 2, 3, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 1, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3,
      3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 1, 2, 2,
      3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1,
      2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 1, 1,
      1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
      2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2,
      1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 1,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1,
      2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 3, 3,
      1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1,
      1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 1, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2,
      3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1,
      2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3,
      2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2,
      3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3,
      1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3,
      2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 1,
      2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 1, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2,
      3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1,
      1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 1,
      2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3,
      3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
      2, 3, 3, 1, 3, 1, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 1, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 1, 2, 1, 2, 2, 3,
      1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1,
      2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2,
      1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2,
      1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2,
      2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
      2, 1, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
      2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3,
      1, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3,
      1, 3, 2, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2,
      2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2,
      3, 1, 2, 3, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2,
      1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
      2, 2, 2, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2,
      2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2,
      2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
      1, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3,
      1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
      2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2,
      1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2,
      3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2,
      2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1,
      3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3,
      1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2,
      3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 1,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3,
      1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      1, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
      2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2,
      2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2,
      1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 1, 3, 2,
      2, 1, 2, 3, 3, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 3, 3, 3, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3,
      2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2,
      1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1,
      2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1,
      2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 2, 3, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3,
      3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2,
      3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3,
      1, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3,
      2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
      2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
      2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1,
      3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3,
      1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 3, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 1, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2,
      2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1, 2, 1, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2,
      1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1,
      2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
      3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 3, 2,
      1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1,
      2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3,
      2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2,
      1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1,
      3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1,
      1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 2, 3, 1, 1,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3,
      2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3,
      2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1,
      3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2,
      2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
      3, 3, 3, 2, 1, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
      3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 3, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 2, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2,
      1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2,
      2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1,
      2, 3, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      1, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 2, 1, 2,
      1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3,
      3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
      1, 3, 1, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2,
      1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2,
      2, 2, 1, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 1, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1,
      1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3,
      1, 3, 2, 1, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2,
      2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 2, 1, 2, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3,
      1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1,
      3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 3, 3,
      1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3,
      2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 1, 1, 2, 3, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1,
      2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2,
      1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2,
      3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3,
      1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1,
      3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3,
      1, 3, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2,
      3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3,
      2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2,
      2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3,
      1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3,
      3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2,
      1, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2,
      1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 1,
      1, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3,
      3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
      1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 1, 2,
      3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 3, 3,
      2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2,
      2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2,
      1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
      3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3,
      2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2,
      1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3,
      1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2,
      2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 3, 3,
      1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 1, 3, 1, 2, 2,
      2, 1, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 1, 2, 2,
      3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2,
      3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1,
      2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2,
      3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 1, 2,
      3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2,
      2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      1, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1,
      2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2,
      1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      1, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2,
      1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 2,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1,
      1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2,
      3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2,
      2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
      1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
      2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1,
      2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2,
      3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2,
      1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3,
      2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 3, 2,
      2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1,
      3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2,
      2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
      2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 1, 2, 3, 3, 2,
      2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3,
      1, 3, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 1, 2, 2,
      3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
      2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
      2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2,
      2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2,
      3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 1, 2,
      3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1,
      1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 2, 2, 3, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1,
      1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2,
      1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2,
      1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 2,
      2, 1, 2, 1, 3, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3,
      2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3,
      3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2,
      1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3,
      2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 3, 3,
      1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
      2, 2, 2, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3,
      2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 3, 1, 1, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
      3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
      2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2,
      1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3, 3,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
      2, 2, 1, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2,
      3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2,
      1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 2, 3,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
      3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
      3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 1,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      1, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2,
      3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 3, 2, 2, 2,
      2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2,
      2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2,
      1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2,
      2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2,
      2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
      3, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
      3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
      1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
      3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1,
      2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 3,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2,
      3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2,
      3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
      3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
      2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 1, 2,
      3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
      2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3,
      3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
      1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 1, 2, 3,
      3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 2, 2, 2,
      3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1,
      2, 2, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
      3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3,
      1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3,
      2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2,
      3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2,
      2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2,
      3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 1, 2, 2,
      3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3,
      1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
      2, 2, 3, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3,
      2, 2, 2, 3, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
      2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
      1, 3, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
      3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2,
      1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2,
      2, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 1, 2,
      1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3,
      3, 1, 2, 3, 2, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 3, 2,
      2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
      2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1,
      2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
      2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 1, 3, 2,
      3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3,
      1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 1, 2,
      1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 2, 3,
      3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
      2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2,
      1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3,
      2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1,
      2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3,
      2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2,
      3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1,
      2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2,
      2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2,
      2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 1, 2,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2,
      1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 1, 2,
      3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 1, 1, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1,
      1, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2,
      2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
      1, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 1, 2, 3, 3, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 3, 3,
      2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 2, 2,
      2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2,
      1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2,
      3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2,
      2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 1,
      2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3,
      2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      1, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 2,
      1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1,
      1, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2,
      2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1,
      3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1,
      2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3,
      1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 1, 1, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3,
      1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 1,
      3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 2, 1, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1, 2, 1, 3, 3, 3,
      1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1,
      2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
      1, 3, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
      3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 1, 2, 3, 3, 2,
      2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 1,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1,
      3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
      1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 1, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3,
      2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1,
      1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2,
      2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1,
      3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
      1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 3, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1,
      1, 2, 2, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2,
      3, 3, 1, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2,
      3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
      3, 2, 1, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2,
      3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1,
      2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      1, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3,
      2, 2, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 2, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
      2, 2, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 1, 1,
      2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3,
      1, 3, 2, 1, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2,
      2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2,
      2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 3, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3,
      1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
      1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2,
      3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2,
      1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3,
      2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 2, 2, 2,
      2, 1, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1,
      3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 1, 1, 2, 3,
      3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2,
      2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2,
      2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 1, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 1,
      1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2,
      2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2,
      2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2,
      3, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2,
      2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 3, 2, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3,
      1, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 3,
      1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3,
      2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 3, 3, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 3, 2,
      2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 2, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
      3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
      1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3,
      2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3,
      2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3,
      1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
      1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
      3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
      3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
      2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      3, 3, 3, 2, 3, 1, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3,
      1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1,
      1, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2, 1,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2,
      3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2,
      2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 1,
      2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
      3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
      2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1,
      2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3,
      1, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 1,
      3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2,
      3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
      1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2,
      3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3,
      1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2,
      3, 3, 2, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
      3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 1, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 1, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2,
      3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1,
      1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2,
      3, 2, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
      2, 2, 3, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 2,
      1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1,
      2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
      3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2,
      2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3,
      3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
      1, 3, 1, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1,
      2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2,
      2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
      3, 2, 1, 3, 2, 1, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3,
      1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1,
      3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 3,
      2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2,
      2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
      3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3,
      2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
      1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2,
      2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
      1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3,
      1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2,
      2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
      3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 1, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
      1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2,
      2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 1, 1, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
      1, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 1, 2,
      3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2,
      1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
      3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 1, 3, 1, 2, 2,
      2, 1, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 1, 1, 2, 2,
      3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2,
      3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
      3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3,
      2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 1, 2, 3,
      3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1,
      3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1,
      2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 1, 2, 3, 3, 3,
      2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      1, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1,
      1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3,
      2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2,
      1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
      3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 3, 3, 2, 3,
      1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
      3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
      3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3,
      3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2,
      2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 1,
      1, 2, 3, 3, 1, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2,
      3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3,
      1, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2,
      3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2,
      2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 1, 3, 3, 2,
      2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2,
      3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2,
      3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 2, 2,
      3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
      3, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
      2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 3, 1, 1, 2,
      3, 3, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 1, 3,
      3, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2,
      2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2,
      3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1,
      2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2,
      1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2,
      3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2,
      3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2,
      3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
      1, 2, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 3, 1,
      1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 1, 2, 3,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
      3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1,
      2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
      1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
      3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1,
      2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 1, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3,
      2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1,
      3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3,
      3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3,
      3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2,
      2, 1, 3, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3,
      1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
      1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 2,
      2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2,
      3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1,
      3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
      2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 1, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3,
      3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2,
      1, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1,
      3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 1, 1, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2,
      3, 2, 3, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
      1, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 2,
      3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1,
      3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1,
      3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2,
      1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
      3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
      1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 1,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 1, 1, 3, 2, 2, 2, 3, 2,
      2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3,
      3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 1, 2, 3,
      3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3,
      2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2,
      2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
      2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1,
      1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2,
      3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 1, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1,
      3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 3, 2, 2,
      1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 3,
      3, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
      3, 3, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 3, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3,
      3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 2, 1, 2,
      3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
      2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2,
      3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2,
      2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 4, 1, 2, 1, 2, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2,
      2, 2, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2,
      1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1,
      1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      1, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 2, 2, 2,
      1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 1,
      2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2,
      2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 1, 2, 2, 2,
      2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 3, 3,
      1, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2,
      3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3,
      1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
      2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1,
      1, 3, 2, 2, 1, 2, 1, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 3,
      1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1,
      2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 1, 3, 2,
      2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2,
      1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
      1, 3, 1, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1, 3, 1, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 1, 2,
      3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2,
      2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1,
      1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2,
      1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1,
      1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 2,
      2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2,
      1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2,
      2, 2, 1, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2,
      2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1,
      2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3,
      2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 1, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3,
      2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
      2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 1, 2, 2, 3, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1,
      2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2,
      3, 2, 3, 1, 1, 1, 3, 2, 2, 1, 2, 1, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      1, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 2,
      1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
      2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2,
      3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1,
      1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
      2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3,
      3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 1, 2,
      3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3,
      2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2,
      1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
      2, 3, 3, 3, 3, 2, 3, 1, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
      2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2,
      1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1,
      2, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 2, 1, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1,
      1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3,
      1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 3, 3,
      1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 1, 2,
      1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2,
      3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3,
      3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3,
      1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2,
      2, 2, 3, 2, 1, 1, 2, 2, 2, 2, 2, 1, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2,
      2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2,
      3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3,
      1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 2,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
      1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2,
      2, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
      3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2,
      1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 3, 1, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
      1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 3, 1, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2,
      2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
      3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1,
      1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 1,
      2, 2, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3,
      3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
      3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2,
      2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 1,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1,
      3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2,
      2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
      2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 2, 2, 3, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
      2, 3, 3, 1, 3, 1, 1, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1,
      2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3,
      1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 3, 3, 1, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 3, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 3,
      1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
      3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
      1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 1, 2,
      3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2,
      2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2,
      2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2,
      1, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 1, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1,
      2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3,
      2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2,
      3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1,
      3, 2, 3, 2, 1, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 1,
      2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3,
      1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 1, 2, 2,
      2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3,
      1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
      2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 1, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 1, 2,
      3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 3, 3,
      1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1,
      2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
      3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2,
      1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2,
      2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2,
      3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 2,
      2, 1, 2, 1, 3, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 1,
      1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 3, 3, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3,
      2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 1, 1, 2,
      2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3,
      1, 3, 2, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 1,
      3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3,
      3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 3, 3,
      1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3,
      3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
      2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2,
      3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
      3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1,
      3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3,
      3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 3,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
      1, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2,
      1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3,
      2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 3, 2, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2,
      1, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 2, 3, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2,
      3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 1, 3, 3,
      1, 2, 2, 2, 1, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1,
      1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 1, 2, 2,
      2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1, 2, 1, 3, 3, 3, 1, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1,
      2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
      3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2,
      1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2,
      1, 3, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3,
      3, 1, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3,
      3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 1, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2,
      2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 1,
      2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
      3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
      2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3,
      3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
      3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3,
      3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 1, 2,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
      3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
      3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2,
      3, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2,
      2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2,
      2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2,
      1, 3, 2, 2, 2, 2, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 1, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
      1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 3,
      3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
      3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 1, 2, 3, 1,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2,
      3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
      1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1,
      1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2,
      2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2,
      3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 2,
      2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2,
      2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 1, 3, 1, 2, 2,
      2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1,
      2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 1, 2,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2,
      1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 3, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2,
      1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
      3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 1,
      2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 1, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3,
      1, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
      1, 2, 3, 3, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2,
      3, 3, 1, 3, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2,
      3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
      1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3,
      2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1,
      2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3,
      1, 3, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2,
      3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2,
      2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2,
      2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
      1, 2, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 1, 2, 2,
      3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
      2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 3, 1, 1, 2,
      3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3,
      3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3,
      3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 2, 1,
      1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 1, 2, 3, 3, 2,
      2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2,
      2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1,
      2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 1, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3,
      2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
      3, 2, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1,
      3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
      3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 1,
      2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
      3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
      3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1,
      2, 3, 3, 1, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
      3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
      2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
      2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3,
      3, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
      2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2,
      3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 1, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1,
      2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 1, 1, 1, 2, 3,
      3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2,
      2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 1, 3, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 2, 2, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2,
      2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
      2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2,
      3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1,
      3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1,
      1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 3, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 3, 1, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      1, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
      2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 1, 3, 2, 1, 2,
      3, 2, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1,
      2, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
      3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3,
      3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 1, 2, 3, 3, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3,
      1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2,
      2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
      2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
      2, 2, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3,
      3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2,
      3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3,
      1, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
      3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
      3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2,
      1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2,
      3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2,
      2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3,
      2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
      1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3,
      1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
      2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2,
      3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2,
      2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      1, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 1, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 1, 2, 3,
      3, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3,
      3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1,
      2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
      2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
      1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1,
      2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2,
      1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2,
      3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
      3, 1, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 3, 1, 3, 1, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2,
      2, 3, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3,
      1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3,
      3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
      3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3,
      2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
      2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1,
      2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 3,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 1,
      1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2,
      2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3,
      2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 1, 1, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3,
      3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
      3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 1,
      3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1,
      2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 1, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2,
      3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1,
      2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3,
      1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1,
      2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1, 3, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3,
      3, 3, 2, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 1, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2,
      2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      3, 2, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 3,
      3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 3, 2, 2, 3, 3, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2,
      3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
      2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1,
      2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
      3, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
      1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3,
      3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2,
      3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2,
      2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 1, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3,
      1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3,
      3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3,
      3, 1, 2, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2,
      1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2,
      2, 2, 3, 4, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2,
      1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1,
      2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1,
      1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1,
      3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 1, 2, 3, 3, 2,
      2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2,
      1, 3, 1, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2,
      3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2,
      2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3,
      1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
      2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 1, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1,
      2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2,
      3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1,
      1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 1,
      2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 2, 3, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
      3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 2, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
      3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1,
      2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
      3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3,
      3, 2, 3, 2, 1, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3,
      1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 1, 2, 2,
      2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2,
      1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2,
      1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3,
      3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 2, 1,
      2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1,
      2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 1, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2,
      2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
      1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2,
      3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2,
      3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 3, 2, 2,
      1, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2,
      3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
      1, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 1, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3,
      2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2,
      3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 3,
      1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
      2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
      2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
      3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
      3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2,
      2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2,
      3, 1, 3, 2, 3, 1, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1,
      2, 1, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2,
      3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2,
      3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3,
      3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3,
      2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2,
      3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3,
      2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 1,
      1, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
      1, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
      3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2,
      1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2,
      2, 2, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1,
      2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2,
      3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 1, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3,
      3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 2, 3,
      3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
      2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2,
      3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 1, 1, 3, 2, 2, 2, 3, 2,
      2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 2,
      2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 1, 1, 3, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3,
      1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
      1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1,
      2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1,
      3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
      3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 3, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 3,
      2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1,
      2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1,
      1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1,
      3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
      2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2,
      1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      1, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 1,
      2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1,
      1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2,
      3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
      1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3,
      3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2,
      2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
      3, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1,
      3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 3,
      1, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2,
      3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 1, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3,
      3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1,
      2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 2,
      2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2,
      2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 1,
      1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2,
      2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2,
      2, 3, 3, 2, 2, 3, 3, 2, 2, 2, 2, 3, 4, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3,
      1, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 3, 3,
      2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3,
      2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 2,
      2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 1,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3,
      3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3,
      3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
      3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2,
      2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2,
      3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2,
      2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1,
      2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
      3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 3, 3,
      3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2,
      3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
      3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 3, 1, 2, 2, 2, 3,
      3, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3,
      3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      1, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2,
      2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
      3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 1, 2,
      3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
      1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
      2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
      3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
      3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3,
      2, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3,
      1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2,
      2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1,
      2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 1, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 1, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3,
      2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1,
      2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3,
      3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 1, 2, 3, 3, 3,
      1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2,
      2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
      3, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3,
      1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3,
      1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      3, 3, 1, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
      1, 1, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2,
      1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 3, 3, 1, 2, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3,
      1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2,
      3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 3,
      2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
      2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
      1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 3, 3, 2, 2,
      1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3,
      3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 3, 3, 2, 2, 2,
      2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 1, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3,
      3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 1, 3,
      1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2,
      2, 2, 3, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
      2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      1, 3, 2, 2, 2, 1, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
      3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3,
      3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2,
      2, 2, 2, 3, 4, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
      2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 2, 3, 3, 3,
      1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
      3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 2, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3,
      3, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
      3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 2, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3,
      3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
      3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
      1, 2, 2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
      3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 3, 2, 3,
      1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 1,
      1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2,
      3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 1, 2, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3,
      1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3,
      1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
      3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1,
      2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3,
      2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3,
      3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3,
      3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2,
      2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 2, 1,
      2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3,
      4, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2,
      2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 3,
      1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 1, 2, 2,
      3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 1, 1, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
      1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 3, 2, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
      3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 1, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 1, 3, 2,
      3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3,
      2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
      3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3,
      2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2,
      3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 2, 2,
      2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2,
      3, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 3, 2, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2, 3, 4, 1,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3,
      3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2,
      2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2,
      2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 4, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 1, 3, 2, 2, 2, 2,
      2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
      3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2,
      2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3,
      2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 3, 3,
      3, 2, 2, 3, 1, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 3, 4, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 2, 3, 3, 1,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 2, 3, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 2, 3,
      2, 1, 2, 3, 3, 1, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3,
      1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 4, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 2, 2, 2, 2, 3, 4, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      2, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 3, 4, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 3, 4, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 1, 2, 1,
      2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2,
      1, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2,
      1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 1, 2, 3, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 2, 3, 2,
      1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2,
      1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2,
      2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1,
      1, 2, 3, 3, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 1, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 1, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 3, 2,
      2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 1, 2, 2,
      3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
      1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3,
      1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1,
      2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3,
      2, 1, 1, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2,
      3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3,
      1, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3,
      1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1,
      3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2,
      3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2,
      2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
      2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2,
      1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 3, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 3,
      2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2,
      3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1,
      1, 3, 2, 2, 1, 2, 1, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 1,
      1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2,
      1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2,
      1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
      3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2,
      1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3,
      3, 1, 2, 3, 2, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2,
      2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2,
      3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1,
      2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
      3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2,
      1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2,
      3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 1, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
      1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2,
      1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
      2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2,
      3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1,
      2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2,
      2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2,
      2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 1, 2,
      3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
      1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
      2, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2,
      2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 2, 2,
      2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3,
      1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
      3, 2, 1, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
      3, 3, 3, 2, 3, 1, 1, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 3, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3,
      3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 1,
      1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3,
      2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1, 1, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 1, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3,
      3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2,
      3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 1,
      2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
      1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1,
      3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2,
      1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2,
      3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1,
      2, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2,
      1, 1, 2, 3, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 2,
      1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
      1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 1, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 1, 1, 2,
      3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      3, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2,
      2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3,
      2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2,
      1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2,
      2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
      2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3,
      1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1,
      2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 2,
      2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2,
      3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2,
      1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2,
      1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1,
      2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2,
      2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1,
      1, 2, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
      1, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2,
      3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2,
      2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
      2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 1, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,
      1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
      2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3,
      2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2,
      3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2,
      3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3,
      2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2,
      2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1,
      2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3,
      1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
      2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2, 3,
      3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
      3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1,
      2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3,
      3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3,
      1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 3, 2, 3, 3, 2,
      3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
      1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
      3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3,
      1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2,
      3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1,
      3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2,
      3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2,
      1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2,
      1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3,
      2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1,
      3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 1, 2,
      2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2,
      1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 3, 3,
      2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
      1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2,
      2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1,
      3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 1, 2, 3, 2, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 1, 2, 3, 3, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2,
      1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 1, 3, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1,
      2, 1, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 2,
      2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2,
      3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2,
      1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 3, 3, 1, 1, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2,
      2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 1, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3,
      3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3,
      3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      1, 3, 2, 2, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
      1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2,
      3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 2, 2, 2, 2, 1, 3, 3, 3,
      2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1,
      3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      1, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
      3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 1, 1, 3,
      2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 1, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1,
      2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2,
      2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
      3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
      1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2,
      3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 2, 1, 3, 2, 2, 2,
      2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3,
      2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 3, 1, 2, 2, 2, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
      2, 3, 3, 1, 3, 1, 1, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
      1, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
      3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 1, 2,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2,
      3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      1, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3,
      3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
      2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3,
      2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
      3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 1,
      1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3,
      3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
      2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2,
      2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 2,
      1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 1, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
      3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2,
      3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3,
      2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1,
      2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 1, 1,
      1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3,
      1, 2, 2, 1, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3,
      1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3,
      3, 2, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      3, 3, 1, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 3, 2, 2, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 3,
      3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
      3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 1, 1, 1, 2, 3, 3, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 1, 3, 1, 3, 2,
      1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 1,
      3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
      2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 3, 3,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3,
      2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
      1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 1, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 1, 3, 3,
      1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3,
      2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2,
      3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 1, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2,
      1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
      2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 2, 3, 2,
      1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1,
      3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2,
      2, 1, 2, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 1, 2,
      2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1,
      2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2,
      3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 1, 3, 2, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 1, 1, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1,
      2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 2, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3,
      3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 1,
      1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3,
      3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2,
      3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1,
      2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 2, 1,
      3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3,
      1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      2, 2, 3, 2, 1, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1,
      2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      1, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3,
      3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 1, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 1, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
      2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 1, 2,
      3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
      1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2,
      2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3,
      3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 1, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
      2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2, 3, 2, 1, 2, 3,
      1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 3, 3, 2, 2, 1, 1, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1,
      3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 3, 1, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      1, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3,
      1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      1, 1, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 3, 3,
      3, 2, 2, 1, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
      2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3,
      1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 2, 1, 2, 3, 2, 2, 2, 3, 3, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 2,
      1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 2,
      1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 3, 2, 1, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2,
      3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1,
      2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 4, 1, 2, 1, 3, 2, 2, 2, 2, 1, 2,
      2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 2,
      1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 3, 1, 1, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2,
      2, 1, 2, 3, 3, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 1,
      3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3,
      3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 1, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 1, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 1, 2,
      2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 3, 2,
      2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2,
      1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1,
      3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2,
      3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2,
      2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1, 2, 3, 2,
      1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 2,
      2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2,
      2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3,
      2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1,
      3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2,
      3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 2,
      3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3,
      2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 1, 2, 3,
      3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3,
      1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3,
      1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 1, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 1, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1,
      3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3,
      3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 1, 2, 3, 3, 3, 2, 1,
      1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 3,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3,
      2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2,
      3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 1, 1, 2, 1, 3, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1,
      2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
      2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2,
      3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
      3, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3,
      1, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
      2, 1, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1,
      2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3,
      1, 3, 2, 1, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1,
      3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3,
      3, 1, 3, 2, 2, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3,
      3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      1, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 1, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2,
      2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
      3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 3, 3, 2, 3, 2, 1,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 1, 2,
      3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2,
      2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      3, 2, 3, 2, 1, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1,
      2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1,
      1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2,
      2, 2, 3, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 3, 3, 2, 2,
      1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2,
      1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 3, 3,
      2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 3, 1,
      2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1,
      3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2,
      2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 1,
      2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3,
      3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 1,
      3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 2, 1, 3, 2, 3,
      1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 1, 2,
      3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 2, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
      1, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1,
      2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 1, 2, 3, 3,
      3, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 3, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 1,
      1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
      1, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1,
      1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 1, 1, 2, 3, 2, 1, 2, 2, 3, 2, 2, 2, 2, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 1,
      2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3,
      3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 1, 1, 2, 3, 3, 2,
      2, 2, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 1,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3,
      2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2,
      2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1,
      2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      1, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      3, 3, 1, 2, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 1,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3,
      3, 2, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1,
      2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 3, 2, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2,
      3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1,
      2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2,
      3, 3, 3, 2, 1, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2,
      2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3,
      3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 2, 2, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 1, 2, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 3, 2,
      3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2,
      3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3,
      3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 1, 2, 3, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1,
      2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2,
      2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
      3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
      1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 1, 2, 2, 3,
      3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2,
      1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 2, 1, 3,
      2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3,
      1, 1, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3,
      1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3,
      2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1,
      3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      1, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3,
      2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 1, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2,
      3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2,
      3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 1, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 3,
      3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
      1, 2, 2, 2, 3, 3, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 3,
      1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 1, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3,
      3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2,
      3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 3, 3, 1, 3, 2, 1, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 2,
      3, 2, 3, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 1, 2, 3, 3, 3,
      2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 3, 2, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 1,
      1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2,
      2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      1, 2, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 1, 2, 2, 3,
      3, 1, 2, 3, 3, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 3, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
      2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2,
      2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2,
      3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      1, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
      3, 1, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 3, 2, 1, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2,
      3, 2, 1, 2, 3, 3, 1, 3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2,
      3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2, 3, 3, 1,
      2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 2,
      3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3,
      1, 3, 1, 3, 2, 1, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 1,
      3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
      2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2,
      2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1,
      1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 3, 3, 1, 3,
      1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 2,
      2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3,
      2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 3,
      2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 4, 2,
      2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 1,
      1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1,
      3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3,
      2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3,
      3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
      2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2,
      3, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1,
      3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2,
      3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 1,
      2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3,
      2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1,
      2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3,
      3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2,
      1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2,
      1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 1, 2,
      2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3,
      1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2,
      3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
      1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1,
      3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1,
      3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2,
      2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 1, 1, 3, 2, 2,
      1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 1, 2, 3, 3, 2, 2, 1, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3,
      2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
      3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2,
      1, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2,
      2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3,
      3, 2, 2, 3, 1, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 1, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3,
      2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3,
      2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 3,
      3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
      3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2,
      2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 3, 3, 2, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 3,
      1, 1, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1,
      2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 1, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3, 3,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 3, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 1,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 1, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2,
      3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 3, 1, 2, 2, 3,
      2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2,
      2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2,
      3, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      1, 3, 1, 1, 2, 3, 3, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 3, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2,
      3, 2, 1, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 3, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 3,
      3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 1,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3,
      3, 1, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 1, 3,
      2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 2, 1, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 2, 2, 1, 1, 1, 2, 3, 3, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2,
      1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3,
      3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 2, 1, 2, 1,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 1, 1, 2, 3, 3,
      3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
      1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3,
      2, 2, 1, 3, 2, 2, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3,
      1, 1, 2, 2, 3, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      1, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 1, 1, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      1, 2, 3, 3, 3, 2, 3, 3, 3, 2, 3, 1, 1, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 3, 3, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3,
      3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3,
      3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3,
      2, 3, 3, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 3, 2, 3, 3, 2,
      3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3,
      3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 2, 1, 1,
      2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3,
      2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 3, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2,
      3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 3, 4, 1, 2, 3, 2, 1, 3, 2, 2, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2,
      2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2,
      2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 2, 3, 3, 2, 3, 1, 3, 2, 1, 1, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2,
      3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 1, 2, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 3,
      2, 2, 1, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 2, 2, 2,
      3, 3, 1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      1, 2, 3, 3, 3, 1, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2,
      2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
      1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2,
      2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 1, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2,
      2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3,
      3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3,
      3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3,
      1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 1, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2,
      1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 1, 3, 3, 2, 2, 1, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 1, 3, 2, 3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 1, 1,
      2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 3, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
      3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 1, 3,
      2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2,
      1, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1,
      2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 1, 2, 1,
      3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 3, 2,
      3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3,
      1, 1, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      2, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2,
      2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1,
      2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1,
      1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2,
      3, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 1,
      3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 1, 2, 2,
      3, 3, 2, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 2, 3, 3, 2,
      2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1,
      3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2,
      1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 1, 1, 2, 3, 3,
      3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 3,
      2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3,
      3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2,
      2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 1, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 3, 1,
      2, 3, 3, 1, 3, 1, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3,
      2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 3, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1, 3, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 2,
      3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 3,
      3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 1,
      3, 2, 1, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 3, 3, 2,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2,
      3, 2, 3, 1, 2, 3, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      1, 2, 3, 3, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 1, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 2, 2, 3, 3,
      3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 1,
      2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      1, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2,
      3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3,
      3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3,
      3, 2, 2, 2, 1, 3, 2, 2, 2, 3, 1, 4, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2,
      3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 2, 2,
      3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 1, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2,
      2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2,
      3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 1, 3, 2,
      3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 1, 3, 2,
      3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      2, 1, 3, 2, 2, 1, 2, 1, 3, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2,
      2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2,
      1, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      1, 2, 3, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2,
      1, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3,
      3, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 2, 3,
      2, 3, 2, 2, 2, 2, 2, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2,
      3, 1, 3, 2, 3, 2, 2, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 3, 3,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 2, 2, 2, 3,
      3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 1, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1,
      2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 3,
      3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 1,
      1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 3, 3, 2,
      2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 1, 1, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3,
      3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3,
      2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 3, 2, 2, 2, 2, 3, 3,
      1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1,
      2, 3, 3, 1, 3, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2,
      3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 3, 3, 1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      3, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3,
      2, 2, 3, 3, 2, 3, 2, 3, 2, 4, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 2, 2, 2, 1, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 3, 2, 3, 3,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3,
      1, 2, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2,
      2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3,
      3, 2, 2, 3, 1, 2, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 2,
      2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3,
      1, 2, 3, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 3,
      3, 1, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 2, 2,
      1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3,
      1, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2,
      3, 2, 2, 3, 2, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      2, 3, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2,
      1, 2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 3, 3, 2, 3,
      1, 3, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2,
      3, 2, 3, 2, 1, 2, 3, 3, 2, 2, 3, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 3, 3, 1, 3, 2, 1, 2,
      3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 1, 2, 3, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2,
      2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2,
      1, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 3, 2, 3, 3, 2, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3,
      2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 3, 2,
      3, 2, 3, 2, 3, 1, 3, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 3, 3, 3, 2, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 2, 1,
      3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 3,
      2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 3, 3, 1, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2,
      3, 3, 2, 2, 3, 3, 1, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3,
      3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2,
      1, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2,
      3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 1, 3, 3, 2,
      3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2,
      1, 2, 3, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3,
      2, 2, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1,
      2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2,
      3, 2, 3, 2, 2, 2, 3, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3,
      2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2,
      3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 3, 3, 2, 3, 2, 3, 3, 4, 1, 3, 2, 3,
      2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 3, 1, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
      2, 3, 1, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2,
      3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 1, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 3, 2, 2, 2, 2,
      2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 3,
      1, 4, 2, 3, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2,
      2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 3, 2, 2, 2, 2, 2, 3, 3,
      2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 2, 1, 2, 1, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 3, 2,
      3, 1, 3, 2, 4, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 2,
      1, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3,
      3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 4, 3, 3, 2, 1, 1, 2,
      3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3,
      4, 2, 2, 3, 3, 3, 3, 2, 2, 3, 3, 2, 2, 1, 3, 1, 4, 2, 3, 2, 3, 2, 3, 2, 3,
      2, 3, 2, 3, 3, 3, 3, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 1, 2, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 2, 3, 1, 1, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2,
      1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2,
      2, 2, 2, 3, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 2,
      2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3,
      2, 2, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 1, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3,
      1, 2, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1,
      2, 1, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2,
      3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 1, 3, 2,
      3, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 3, 3,
      1, 3, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1,
      3, 2, 3, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2,
      3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2,
      2, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 2, 3, 2, 3, 1, 3,
      1, 3, 2, 2, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2,
      3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 3, 2, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3,
      3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 3, 1,
      1, 2, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 2,
      2, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, 1, 2, 3,
      3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3,
      1, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2,
      1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 2,
      1, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 1, 1, 2, 3, 3, 2, 2, 1,
      3, 2, 3, 2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3,
      3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2,
      3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 3,
      2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 2, 3, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1,
      2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 3, 1, 2, 2, 3, 2, 3, 1, 1,
      2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 3, 2,
      3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3,
      2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2,
      1, 2, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 2, 2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2,
      3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 1, 1, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 2, 1, 2,
      1, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 2,
      2, 1, 2, 3, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 1, 2, 3, 3,
      1, 2, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 2, 3, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3,
      2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 3,
      3, 2, 3, 1, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 3, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2,
      3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2,
      2, 2, 2, 2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2,
      2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2,
      2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 1, 1, 3, 1, 3, 2,
      1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3,
      2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2,
      2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3,
      3, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 3, 2, 1, 2, 3, 1, 3,
      2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2,
      3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 2, 1,
      2, 2, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 3, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 3, 3,
      1, 2, 2, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 1, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2,
      2, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      2, 2, 2, 3, 2, 3, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2,
      2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2,
      2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 2, 3, 3, 3, 3, 1, 3, 2, 3, 2,
      1, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 1, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2, 2,
      2, 2, 3, 1, 3, 2, 2, 2, 3, 2, 3, 1, 2, 1, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      2, 2, 1, 2, 2, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3,
      3, 1, 2, 1, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 2, 3, 3, 2, 2, 2, 2, 2, 3,
      1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 1, 2,
      2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2,
      2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2,
      3, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2,
      2, 2, 3, 3, 1, 2, 2, 3, 2, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 2, 3, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1,
      2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 3, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2,
      3, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3,
      1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 1, 3, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 1,
      2, 3, 3, 3, 3, 1, 2, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 1,
      2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3, 2, 2, 1, 3, 2,
      3, 2, 3, 1, 3, 1, 3, 2, 2, 1, 2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2,
      2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 1, 2, 2, 3, 2,
      3, 1, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 2, 2, 2, 3, 3, 1, 2, 2, 3, 2, 3,
      2, 2, 2, 3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2,
      2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3,
      1, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 2,
      2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 1, 3, 3, 3,
      2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,
      2, 2, 2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 2,
      2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 2, 3, 2, 3, 1, 1, 1, 3, 2, 2, 1,
      2, 1, 3, 3, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3, 2, 3, 2, 3, 2, 1, 1, 2,
      3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 2,
      3, 2, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 1, 3, 2, 1,
      2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1,
      2, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 2,
      3, 3, 1, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, 1, 2,
      3, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3,
      2, 2, 2, 3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 3, 2,
      1, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3,
      1, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 2, 1, 2, 2, 3, 2,
      2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2,
      1, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 1, 2, 2, 3, 3, 1, 3, 2, 2, 2,
      2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 2, 3, 3, 3, 2, 3, 1, 2,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2,
      2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2,
      2, 2, 3, 3, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 1, 2,
      2, 3, 3, 2, 2, 3, 3, 1, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2, 3, 3, 2, 2, 2, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2,
      3, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 2, 1, 2, 2, 3, 3,
      1, 2, 3, 3, 1, 3, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 2,
      3, 2, 2, 1, 2, 1, 3, 2, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 3, 1, 3, 2, 3, 2, 2,
      2, 2, 2, 2, 3, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 2, 1, 2, 2, 3, 2, 1, 2, 2,
      2, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3,
      2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2,
      2, 3, 3, 1, 2, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 3, 2, 3, 2, 3,
      2, 3, 2, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 3, 2, 2, 3, 2, 3, 2,
      3, 1, 2, 3, 3, 3, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 2,
      1, 2, 1, 3, 2, 3, 2, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 1,
      3, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 3, 1, 2,
      3, 2, 3, 3, 2, 3, 1, 3, 2, 3, 1, 1, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2,
      3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 3, 1, 3,
      2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 1,
      3, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 3, 1, 2, 2, 2,
      3, 3, 1, 2, 2, 3, 2, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2, 3, 2, 1, 2,
      3, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3,
      1, 2, 2, 3, 2, 3, 2, 3, 3, 3, 2, 3, 1, 3, 2, 3, 2, 2, 3, 3, 3, 3, 2, 3, 1,
      3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2,
      2, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 1, 2, 1, 2, 3,
      3, 3, 3, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3,
      2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 2, 2, 1, 3, 2, 3, 2, 3, 2, 3, 1, 2, 3, 3, 3,
      3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 3, 2, 3, 1, 3, 2, 1, 2, 3, 1, 2, 3, 3, 1, 3,
      2, 3, 2, 3, 2, 3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 1, 1, 2, 3, 3, 3, 2,
      2, 1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 1, 2, 2, 1, 2, 3, 3, 3, 3, 2, 2,
      2,
  };

  REP(i, n) {
    // s[i] のビットを反転させて処理回数を計算する
    i32 j = n - 1 - i;
    i32 ans{};
    if (s.at(i) == '1') {
      debug(i);
      debug(decfver);
      if (popcnt - 1 != 0) {
        i32 num = (decfver + (popcnt - 1) - modpowdecf.at(j)) % (popcnt - 1);
        ans += 1 + sim[num];
      }
    } else {
      debug(i);
      debug(incfver);
      i32 num = (incfver + modpowincf.at(j)) % (popcnt + 1);
      ans += 1 + sim[num];
    }
    print(ans);
  }
}

signed main() {
  cin.tie(nullptr); // cin と cout の tie を切り高速化
  cout << fixed
       << setprecision(
              15); // 浮動小数点数が 1e-006 のように表示されることを防ぐ
  Main();
}