#include <bits/stdc++.h>
using namespace std;
const int MOD = (int)1e9 + 7;
const int FFTMOD = 119 << 23 | 1;
const int INF = (int)1e9 + 23111992;
const long long LINF = (long long)1e18 + 23111992;
const long double PI = acos((long double)-1);
const long double EPS = 1e-9;
inline long long gcd(long long a, long long b) {
  long long r;
  while (b) {
    r = a % b;
    a = b;
    b = r;
  }
  return a;
}
inline long long lcm(long long a, long long b) { return a / gcd(a, b) * b; }
inline long long fpow(long long n, long long k, int p = MOD) {
  long long r = 1;
  for (; k; k >>= 1) {
    if (k & 1) r = r * n % p;
    n = n * n % p;
  }
  return r;
}
template <class T>
inline int chkmin(T& a, const T& val) {
  return val < a ? a = val, 1 : 0;
}
template <class T>
inline int chkmax(T& a, const T& val) {
  return a < val ? a = val, 1 : 0;
}
inline unsigned long long isqrt(unsigned long long k) {
  unsigned long long r = sqrt(k) + 1;
  while (r * r > k) r--;
  return r;
}
inline long long icbrt(long long k) {
  long long r = cbrt(k) + 1;
  while (r * r * r > k) r--;
  return r;
}
inline void addmod(int& a, int val, int p = MOD) {
  if ((a = (a + val)) >= p) a -= p;
}
inline void submod(int& a, int val, int p = MOD) {
  if ((a = (a - val)) < 0) a += p;
}
inline int mult(int a, int b, int p = MOD) { return (long long)a * b % p; }
inline int inv(int a, int p = MOD) { return fpow(a, p - 2, p); }
inline int sign(long double x) { return x < -EPS ? -1 : x > +EPS; }
inline int sign(long double x, long double y) { return sign(x - y); }
mt19937 mt(chrono::high_resolution_clock::now().time_since_epoch().count());
inline int mrand() { return abs((int)mt()); }
inline int mrand(int k) { return abs((int)mt()) % k; }
void chemthan() {
  auto ispr = [&](int k) {
    for (int i = 2; i * i <= k; i++) {
      if (k % i == 0) {
        return 0;
      }
    }
    return 1;
  };
  vector<int> prs;
  vector<vector<int>> p10s;
  vector<vector<int>> ip10s;
  for (int it = (0); it < (2); ++it) {
    int pr = INF - mrand(INF / 100);
    while (!ispr(pr)) pr++;
    prs.push_back(pr);
    vector<int> p10;
    vector<int> ip10;
    int i10 = inv(10, pr);
    int t = 1;
    int t2 = 1;
    for (int i = (0); i < (1e6); ++i) {
      p10.push_back(t);
      ip10.push_back(t2);
      t = mult(t, 10, pr);
      t2 = mult(t2, i10, pr);
    }
    p10s.push_back(p10);
    ip10s.push_back(ip10);
  }
  string s;
  cin >> s;
  string x;
  cin >> x;
  reverse((s).begin(), (s).end()), reverse((x).begin(), (x).end());
  for (char& c : s) c -= '0';
  for (char& c : x) c -= '0';
  int n = int((s).size());
  vector<vector<int>> hs;
  vector<map<int, int>> mems;
  for (int ix = (0); ix < (int((prs).size())); ++ix) {
    map<int, int> mem;
    vector<int> h;
    int t = 0;
    for (int i = (0); i < (n); ++i) {
      addmod(t, mult(p10s[ix][i], s[i], prs[ix]), prs[ix]);
      h.push_back(t);
      mem[t] = i;
    }
    hs.push_back(h);
    mems.push_back(mem);
  }
  vector<int> hx;
  vector<vector<int>> hxs;
  for (int ix = (0); ix < (int((prs).size())); ++ix) {
    int t = 0;
    for (int i = (0); i < (int((x).size())); ++i) {
      addmod(t, mult(p10s[ix][i], x[i], prs[ix]), prs[ix]);
    }
    hx.push_back(t);
    {
      vector<int> tmp;
      int t = 0;
      for (int i = (int((x).size())) - 1; i >= (0); --i) {
        t = mult(t, 10, prs[ix]);
        addmod(t, x[i], prs[ix]);
        tmp.push_back(t);
      }
      hxs.push_back(tmp);
    }
  }
  auto calc = [&](int ix, int l, int r) {
    int res = hs[ix][r];
    if (l) submod(res, hs[ix][l - 1], prs[ix]);
    return mult(res, ip10s[ix][l], prs[ix]);
  };
  for (int i = (0); i < (n); ++i) {
    for (int len : {int((x).size()) - 1, int((x).size())}) {
      if (!len) continue;
      if (n <= i + len) continue;
      map<int, int> cnt;
      for (int ix = (0); ix < (int((prs).size())); ++ix) {
        int h = hx[ix];
        submod(h, calc(ix, i, i + len - 1), prs[ix]);
        h = mult(h, p10s[ix][i + len], prs[ix]);
        addmod(h, hs[ix][i + len - 1], prs[ix]);
        if (mems[ix].count(h)) {
          cnt[mems[ix][h]]++;
        } else {
          break;
        }
      }
      for (auto [x, c] : cnt) {
        if (c == int((prs).size()) && i + len <= x) {
          int u = i;
          int v = i + len - 1;
          int w = i + len;
          int t = x;
          cout << n - t << " " << n - w << "\n"
               << n - v << " " << n - u << "\n";
          return;
        }
      }
    }
  }
  for (int i = (0); i < (n); ++i) {
    for (int len : {int((x).size()) - 1, int((x).size())}) {
      if (!len) continue;
      if (i - len < 0) continue;
      map<int, int> cnt;
      for (int ix = (0); ix < (int((prs).size())); ++ix) {
        int t = calc(ix, i - len + 1, i);
        vector<int> len2s;
        if (len == int((x).size()) - 1) {
          len2s.push_back(len);
        } else {
          int lo = i - len + 1, hi = i;
          while (lo < hi) {
            int mi = lo + hi >> 1;
            if (calc(ix, mi, i) != hxs[ix][i - mi]) {
              lo = mi + 1;
            } else {
              hi = mi;
            }
          }
          int mi = lo + hi >> 1;
          int tmp = mi - (i - len + 1);
          if (0 < tmp) {
            len2s.push_back(tmp);
          }
          if (0 < tmp - 1) {
            len2s.push_back(tmp - 1);
          }
        }
        for (int len2 : len2s)
          if (0 <= i - len - len2 + 1) {
            int y = t;
            addmod(y, calc(ix, i - len - len2 + 1, i - len), prs[ix]);
            if (y == hx[ix]) {
              cnt[i - len - len2 + 1]++;
            }
          }
      }
      for (auto [x, c] : cnt) {
        if (c == int((prs).size())) {
          int u = x;
          int v = i - len;
          int w = i - len + 1;
          int t = i;
          cout << n - t << " " << n - w << "\n"
               << n - v << " " << n - u << "\n";
          return;
        }
      }
    }
  }
}
int32_t main(int32_t argc, char* argv[]) {
  ios_base::sync_with_stdio(0), cin.tie(0);
  if (argc > 1) {
    assert(freopen(argv[1], "r", stdin));
  }
  if (argc > 2) {
    assert(freopen(argv[2], "wb", stdout));
  }
  chemthan();
  cerr << "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n";
  return 0;
}

### Prompt

Construct a CPP code solution to the problem outlined:

Let's call a positive integer good if there is no digit 0 in its decimal representation.

For an array of a good numbers a, one found out that the sum of some two neighboring elements is equal to x (i.e. x = a_i + a_{i + 1} for some i). x had turned out to be a good number as well.

Then the elements of the array a were written out one after another without separators into one string s. For example, if a = [12, 5, 6, 133], then s = 1256133.

You are given a string s and a number x. Your task is to determine the positions in the string that correspond to the adjacent elements of the array that have sum x. If there are several possible answers, you can print any of them.

Input

The first line contains the string s (2 ≤ |s| ≤ 5 ⋅ 10^5).

The second line contains an integer x (2 ≤ x < 10^{200000}).

An additional constraint on the input: the answer always exists, i.e you can always select two adjacent substrings of the string s so that if you convert these substrings to integers, their sum is equal to x.

Output

In the first line, print two integers l_1, r_1, meaning that the first term of the sum (a_i) is in the string s from position l_1 to position r_1.

In the second line, print two integers l_2, r_2, meaning that the second term of the sum (a_{i + 1}) is in the string s from position l_2 to position r_2.

Examples

Input


1256133
17


Output


1 2
3 3


Input


9544715561
525


Output


2 3
4 6


Input


239923
5


Output


1 1
2 2


Input


1218633757639
976272


Output


2 7
8 13

Note

In the first example s[1;2] = 12 and s[3;3] = 5, 12+5=17.

In the second example s[2;3] = 54 and s[4;6] = 471, 54+471=525.

In the third example s[1;1] = 2 and s[2;2] = 3, 2+3=5.

In the fourth example s[2;7] = 218633 and s[8;13] = 757639, 218633+757639=976272.

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
const int MOD = (int)1e9 + 7;
const int FFTMOD = 119 << 23 | 1;
const int INF = (int)1e9 + 23111992;
const long long LINF = (long long)1e18 + 23111992;
const long double PI = acos((long double)-1);
const long double EPS = 1e-9;
inline long long gcd(long long a, long long b) {
  long long r;
  while (b) {
    r = a % b;
    a = b;
    b = r;
  }
  return a;
}
inline long long lcm(long long a, long long b) { return a / gcd(a, b) * b; }
inline long long fpow(long long n, long long k, int p = MOD) {
  long long r = 1;
  for (; k; k >>= 1) {
    if (k & 1) r = r * n % p;
    n = n * n % p;
  }
  return r;
}
template <class T>
inline int chkmin(T& a, const T& val) {
  return val < a ? a = val, 1 : 0;
}
template <class T>
inline int chkmax(T& a, const T& val) {
  return a < val ? a = val, 1 : 0;
}
inline unsigned long long isqrt(unsigned long long k) {
  unsigned long long r = sqrt(k) + 1;
  while (r * r > k) r--;
  return r;
}
inline long long icbrt(long long k) {
  long long r = cbrt(k) + 1;
  while (r * r * r > k) r--;
  return r;
}
inline void addmod(int& a, int val, int p = MOD) {
  if ((a = (a + val)) >= p) a -= p;
}
inline void submod(int& a, int val, int p = MOD) {
  if ((a = (a - val)) < 0) a += p;
}
inline int mult(int a, int b, int p = MOD) { return (long long)a * b % p; }
inline int inv(int a, int p = MOD) { return fpow(a, p - 2, p); }
inline int sign(long double x) { return x < -EPS ? -1 : x > +EPS; }
inline int sign(long double x, long double y) { return sign(x - y); }
mt19937 mt(chrono::high_resolution_clock::now().time_since_epoch().count());
inline int mrand() { return abs((int)mt()); }
inline int mrand(int k) { return abs((int)mt()) % k; }
void chemthan() {
  auto ispr = [&](int k) {
    for (int i = 2; i * i <= k; i++) {
      if (k % i == 0) {
        return 0;
      }
    }
    return 1;
  };
  vector<int> prs;
  vector<vector<int>> p10s;
  vector<vector<int>> ip10s;
  for (int it = (0); it < (2); ++it) {
    int pr = INF - mrand(INF / 100);
    while (!ispr(pr)) pr++;
    prs.push_back(pr);
    vector<int> p10;
    vector<int> ip10;
    int i10 = inv(10, pr);
    int t = 1;
    int t2 = 1;
    for (int i = (0); i < (1e6); ++i) {
      p10.push_back(t);
      ip10.push_back(t2);
      t = mult(t, 10, pr);
      t2 = mult(t2, i10, pr);
    }
    p10s.push_back(p10);
    ip10s.push_back(ip10);
  }
  string s;
  cin >> s;
  string x;
  cin >> x;
  reverse((s).begin(), (s).end()), reverse((x).begin(), (x).end());
  for (char& c : s) c -= '0';
  for (char& c : x) c -= '0';
  int n = int((s).size());
  vector<vector<int>> hs;
  vector<map<int, int>> mems;
  for (int ix = (0); ix < (int((prs).size())); ++ix) {
    map<int, int> mem;
    vector<int> h;
    int t = 0;
    for (int i = (0); i < (n); ++i) {
      addmod(t, mult(p10s[ix][i], s[i], prs[ix]), prs[ix]);
      h.push_back(t);
      mem[t] = i;
    }
    hs.push_back(h);
    mems.push_back(mem);
  }
  vector<int> hx;
  vector<vector<int>> hxs;
  for (int ix = (0); ix < (int((prs).size())); ++ix) {
    int t = 0;
    for (int i = (0); i < (int((x).size())); ++i) {
      addmod(t, mult(p10s[ix][i], x[i], prs[ix]), prs[ix]);
    }
    hx.push_back(t);
    {
      vector<int> tmp;
      int t = 0;
      for (int i = (int((x).size())) - 1; i >= (0); --i) {
        t = mult(t, 10, prs[ix]);
        addmod(t, x[i], prs[ix]);
        tmp.push_back(t);
      }
      hxs.push_back(tmp);
    }
  }
  auto calc = [&](int ix, int l, int r) {
    int res = hs[ix][r];
    if (l) submod(res, hs[ix][l - 1], prs[ix]);
    return mult(res, ip10s[ix][l], prs[ix]);
  };
  for (int i = (0); i < (n); ++i) {
    for (int len : {int((x).size()) - 1, int((x).size())}) {
      if (!len) continue;
      if (n <= i + len) continue;
      map<int, int> cnt;
      for (int ix = (0); ix < (int((prs).size())); ++ix) {
        int h = hx[ix];
        submod(h, calc(ix, i, i + len - 1), prs[ix]);
        h = mult(h, p10s[ix][i + len], prs[ix]);
        addmod(h, hs[ix][i + len - 1], prs[ix]);
        if (mems[ix].count(h)) {
          cnt[mems[ix][h]]++;
        } else {
          break;
        }
      }
      for (auto [x, c] : cnt) {
        if (c == int((prs).size()) && i + len <= x) {
          int u = i;
          int v = i + len - 1;
          int w = i + len;
          int t = x;
          cout << n - t << " " << n - w << "\n"
               << n - v << " " << n - u << "\n";
          return;
        }
      }
    }
  }
  for (int i = (0); i < (n); ++i) {
    for (int len : {int((x).size()) - 1, int((x).size())}) {
      if (!len) continue;
      if (i - len < 0) continue;
      map<int, int> cnt;
      for (int ix = (0); ix < (int((prs).size())); ++ix) {
        int t = calc(ix, i - len + 1, i);
        vector<int> len2s;
        if (len == int((x).size()) - 1) {
          len2s.push_back(len);
        } else {
          int lo = i - len + 1, hi = i;
          while (lo < hi) {
            int mi = lo + hi >> 1;
            if (calc(ix, mi, i) != hxs[ix][i - mi]) {
              lo = mi + 1;
            } else {
              hi = mi;
            }
          }
          int mi = lo + hi >> 1;
          int tmp = mi - (i - len + 1);
          if (0 < tmp) {
            len2s.push_back(tmp);
          }
          if (0 < tmp - 1) {
            len2s.push_back(tmp - 1);
          }
        }
        for (int len2 : len2s)
          if (0 <= i - len - len2 + 1) {
            int y = t;
            addmod(y, calc(ix, i - len - len2 + 1, i - len), prs[ix]);
            if (y == hx[ix]) {
              cnt[i - len - len2 + 1]++;
            }
          }
      }
      for (auto [x, c] : cnt) {
        if (c == int((prs).size())) {
          int u = x;
          int v = i - len;
          int w = i - len + 1;
          int t = i;
          cout << n - t << " " << n - w << "\n"
               << n - v << " " << n - u << "\n";
          return;
        }
      }
    }
  }
}
int32_t main(int32_t argc, char* argv[]) {
  ios_base::sync_with_stdio(0), cin.tie(0);
  if (argc > 1) {
    assert(freopen(argv[1], "r", stdin));
  }
  if (argc > 2) {
    assert(freopen(argv[2], "wb", stdout));
  }
  chemthan();
  cerr << "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n";
  return 0;
}

```