Problem: While walking down the street Vanya saw a label "Hide&Seek". Because he is a programmer, he used & as a bitwise AND for these two words represented as a integers in base 64 and got new word. Now Vanya thinks of some string s and wants to know the number of pairs of words of length |s| (length of s), such that their bitwise AND is equal to s. As this number can be large, output it modulo 109 + 7.

To represent the string as a number in numeral system with base 64 Vanya uses the following rules:

  * digits from '0' to '9' correspond to integers from 0 to 9; 
  * letters from 'A' to 'Z' correspond to integers from 10 to 35; 
  * letters from 'a' to 'z' correspond to integers from 36 to 61; 
  * letter '-' correspond to integer 62; 
  * letter '_' correspond to integer 63. 

Input

The only line of the input contains a single word s (1 ≤ |s| ≤ 100 000), consisting of digits, lowercase and uppercase English letters, characters '-' and '_'.

Output

Print a single integer — the number of possible pairs of words, such that their bitwise AND is equal to string s modulo 109 + 7.

Examples

Input

z


Output

3


Input

V_V


Output

9


Input

Codeforces


Output

130653412

Note

For a detailed definition of bitwise AND we recommend to take a look in the corresponding article in Wikipedia.

In the first sample, there are 3 possible solutions: 

  1. z&_ = 61&63 = 61 = z
  2. _&z = 63&61 = 61 = z
  3. z&z = 61&61 = 61 = z

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
template <typename T>
void pr(vector<T> &v) {
  for (int i = 0; i < (int)(v).size(); i++) cout << v[i] << " ";
  cout << '\n';
  ;
}
template <typename T>
void pr(vector<vector<T>> &v) {
  for (int i = 0; i < (int)(v).size(); i++) {
    pr(v[i]);
  }
}
template <typename T>
void re(T &x) {
  cin >> x;
}
template <typename T>
void re(vector<T> &a) {
  for (int i = 0; i < (int)(a).size(); i++) re(a[i]);
}
template <class Arg, class... Args>
void re(Arg &first, Args &...rest) {
  re(first);
  re(rest...);
}
template <typename T>
void pr(T x) {
  cout << x << '\n';
  ;
}
template <class Arg, class... Args>
void pr(const Arg &first, const Args &...rest) {
  cout << first << " ";
  pr(rest...);
  cout << '\n';
  ;
}
void ps() {
  cout << '\n';
  ;
}
template <class T, class... Ts>
void ps(const T &t, const Ts &...ts) {
  cout << t;
  if (sizeof...(ts)) cout << " ";
  ps(ts...);
}
const long long MOD = 1000000007;
long double PI = 4 * atan(1);
long double eps = 1e-12;
int cnt(int n) {
  int ans = 0;
  for (int i = 0; i < 6; i++) {
    ans += n & 1;
    n = n >> 1;
  }
  return 6 - ans;
}
long long pw(int b, int ex) {
  long long bp = b;
  long long ans = 1;
  while (ex != 0) {
    if (ex & 1) ans *= bp;
    ex = ex >> 1;
    bp *= bp;
    bp %= MOD;
    ans %= MOD;
  }
  return ans;
}
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  string s;
  cin >> s;
  map<char, int> m;
  for (char c = '0'; c <= '9'; c++) {
    m[c] = cnt(c - '0');
  }
  for (char c = 'A'; c <= 'Z'; c++) {
    m[c] = cnt(c - 'A' + 10);
  }
  for (char c = 'a'; c <= 'z'; c++) {
    m[c] = cnt(c - 'a' + 36);
  }
  m['-'] = cnt(62);
  m['_'] = cnt(63);
  int ex = 0;
  for (char c : s) {
    ex += m[c];
  }
  cout << pw(3, ex) << '\n';
  ;
}