Problem: You are given two positive integers d and s. Find minimal positive integer n which is divisible by d and has sum of digits equal to s.

Input

The first line contains two positive integers d and s (1 ≤ d ≤ 500, 1 ≤ s ≤ 5000) separated by space.

Output

Print the required number or -1 if it doesn't exist.

Examples

Input

13 50


Output

699998


Input

61 2


Output

1000000000000000000000000000001


Input

15 50


Output

-1

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
constexpr int bits(int x) { return x == 0 ? 0 : 31 - __builtin_clz(x); }
using ld = long double;
using ll = long long;
using vi = vector<int>;
using vvi = vector<vi>;
using vll = vector<ll>;
using vvll = vector<vll>;
using vb = vector<bool>;
using vvb = vector<vb>;
using vd = vector<double>;
using vs = vector<string>;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<double, double>;
using vpii = vector<pii>;
using vpll = vector<pll>;
using vpdd = vector<pdd>;
template <typename T>
void ckmin(T &a, const T &b) {
  a = min(a, b);
}
template <typename T>
void ckmax(T &a, const T &b) {
  a = max(a, b);
}
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
namespace __input {
template <class T1, class T2>
void re(pair<T1, T2> &p);
template <class T>
void re(vector<T> &a);
template <class T, size_t SZ>
void re(array<T, SZ> &a);
template <class T>
void re(T &x) {
  cin >> x;
}
void re(double &x) {
  string t;
  re(t);
  x = stod(t);
}
template <class Arg, class... Args>
void re(Arg &first, Args &...rest) {
  re(first);
  re(rest...);
}
template <class T1, class T2>
void re(pair<T1, T2> &p) {
  re(p.f, p.s);
}
template <class T>
void re(vector<T> &a) {
  for (int i = 0; i < int((a).size()); i++) re(a[i]);
}
template <class T, size_t SZ>
void re(array<T, SZ> &a) {
  for (int i = 0; i < SZ; i++) re(a[i]);
}
}  // namespace __input
using namespace __input;
namespace __output {
template <typename T>
struct is_outputtable {
  template <typename C>
  static constexpr decltype(declval<ostream &>() << declval<const C &>(),
                            bool())
  test(int) {
    return true;
  }
  template <typename C>
  static constexpr bool test(...) {
    return false;
  }
  static constexpr bool value = test<T>(int());
};
template <
    class T, typename V = decltype(declval<const T &>().begin()),
    typename second = typename enable_if<!is_outputtable<T>::value, bool>::type>
void pr(const T &x);
template <class T,
          typename V = decltype(declval<ostream &>() << declval<const T &>())>
void pr(const T &x) {
  cout << x;
}
template <class T1, class T2>
void pr(const pair<T1, T2> &x);
template <class Arg, class... Args>
void pr(const Arg &first, const Args &...rest) {
  pr(first);
  pr(rest...);
}
template <class T, bool pretty = true>
void prContain(const T &x) {
  if (pretty) pr("{");
  bool fst = 1;
  for (const auto &a : x) pr(!fst ? pretty ? ", " : " " : "", a), fst = 0;
  if (pretty) pr("}");
}
template <class T>
void pc(const T &x) {
  prContain<T, false>(x);
  pr("\n");
}
template <class T1, class T2>
void pr(const pair<T1, T2> &x) {
  pr("{", x.f, ", ", x.s, "}");
}
template <class T, typename V, typename second>
void pr(const T &x) {
  prContain(x);
}
void ps() { pr("\n"); }
template <class Arg>
void ps(const Arg &first) {
  pr(first);
  ps();
}
template <class Arg, class... Args>
void ps(const Arg &first, const Args &...rest) {
  pr(first, " ");
  ps(rest...);
}
}  // namespace __output
using namespace __output;
namespace __algorithm {
template <typename T>
void dedup(vector<T> &v) {
  sort((v).begin(), (v).end());
  v.erase(unique((v).begin(), (v).end()), v.end());
}
template <typename T>
typename vector<T>::const_iterator find(const vector<T> &v, const T &x) {
  auto it = lower_bound((v).begin(), (v).end(), x);
  return it != v.end() && *it == x ? it : v.end();
}
template <typename T>
size_t index(const vector<T> &v, const T &x) {
  auto it = find(v, x);
  assert(it != v.end() && *it == x);
  return it - v.begin();
}
template <typename I>
struct _reversed_struct {
  I &v_;
  explicit _reversed_struct(I &v) : v_{v} {}
  typename I::reverse_iterator begin() const { return v_.rbegin(); }
  typename I::reverse_iterator end() const { return v_.rend(); }
};
template <typename I>
_reversed_struct<I> reversed(I &v) {
  return _reversed_struct<I>(v);
}
}  // namespace __algorithm
using namespace __algorithm;
namespace __io {
void setIO() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout << setprecision(15);
}
}  // namespace __io
using namespace __io;
template <typename T_vector>
void outvec(const T_vector &v, bool add_one = false, int start = -1,
            int end = -1) {
  if (start < 0) start = 0;
  if (end < 0) end = int(v.size());
  for (int i = start; i < end; i++)
    cout << v[i] + (add_one ? 1 : 0) << (i < end - 1 ? ' ' : '\n');
}
const ld pi = 3.14159265358979323846;
const ll mod = 1000000007;
const ll N = 7e5;
ll n, m, k, l, r, x, y, z;
const ll template_array_size = 1e6 + 1720;
ll ar[template_array_size];
ll br[template_array_size];
ll cr[template_array_size];
string s, t;
void solve() {
  int d, s;
  re(d, s);
  pii prev[d][s + 1];
  bool visited[d][s + 1];
  memset(visited, false, sizeof visited);
  queue<pii> q;
  prev[0][0] = {-1, -1};
  q.push({0, 0});
  while (!q.empty()) {
    pii p = q.front();
    q.pop();
    int x = p.first;
    int y = p.second;
    for (int i = 0; i < 10; i++) {
      int l = 10 * x + i;
      if (y + i <= s && !visited[l % d][y + i]) {
        prev[l % d][y + i] = {x, y};
        visited[l % d][y + i] = 1;
        q.push({l % d, y + i});
      }
    }
    if (visited[0][s]) break;
  }
  if (visited[0][s]) {
    pii cur = {0, s}, nxt = prev[0][s];
    string ans = "";
    while (cur != prev[0][0]) {
      ans.push_back('0' + cur.second - nxt.second);
      cur = nxt;
      nxt = prev[cur.first][cur.second];
    }
    if (ans == "") ans = "0";
    reverse((ans).begin(), (ans).end());
    ps(ans);
  } else
    ps(-1);
}
int32_t main() {
  setIO();
  solve();
  return 0;
}