#include <iostream>
#include <cstdio>
#include <string>
using namespace std;
int main() {
  string T, P;
  cin >> T >> P;
  for(int i = 0; i < int(T.size() - P.size()) + 1; ++i) {
	if(P == T.substr(i, P.size())) {
	  printf("%d\n", i);
	}
  }
  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 <cstdio>
#include <string>
using namespace std;
int main() {
  string T, P;
  cin >> T >> P;
  for(int i = 0; i < int(T.size() - P.size()) + 1; ++i) {
	if(P == T.substr(i, P.size())) {
	  printf("%d\n", i);
	}
  }
  return 0;
}
```