#include <iostream>
#include <string>

using namespace std;

int main(int argc, char const *argv[]) {
  string t, p;  cin >> t >> p;
  int len = p.size();
  if (t.size() >= len) {
    for (int i = 0; i < t.size() - len + 1; ++i) {
      string s;
      s = t.substr(i, len);
      if (s == p) cout << i << '\n';
    }
  }

  return 0;
}


### Prompt

Your task is to create a CPP solution to the following problem:

Find places where a string P is found within a text T. Print all indices of T where P found. The indices of T start with 0.

Constraints

* 1 ≤ length of T ≤ 1000000
* 1 ≤ length of P ≤ 10000
* The input consists of alphabetical characters and digits

Input

In the first line, a text T is given. In the second line, a string P is given.

Output

Print an index of T where P found in a line. Print the indices in ascending order.

Examples

Input

aabaaa
aa


Output

0
3
4


Input

xyzz
yz


Output

1


Input

abc
xyz


Output

### Response

```cpp
#include <iostream>
#include <string>

using namespace std;

int main(int argc, char const *argv[]) {
  string t, p;  cin >> t >> p;
  int len = p.size();
  if (t.size() >= len) {
    for (int i = 0; i < t.size() - len + 1; ++i) {
      string s;
      s = t.substr(i, len);
      if (s == p) cout << i << '\n';
    }
  }

  return 0;
}


```