//ALDS1_14_A
#include <iostream>
#include <stdio.h>
#include <stdlib.h>
#include <string>
using namespace std;

int main(){
	string T, P;

	cin>>T;
	cin>>P;
	
	if(T.length() >= P.length())
		for(int i=0;i<=T.length()-P.length();i++)
			if(T.substr(i, P.length()) == P)
				printf("%d\n", i);

	return 0;
}
### Prompt

Construct a CPP code solution to the problem outlined:

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
//ALDS1_14_A
#include <iostream>
#include <stdio.h>
#include <stdlib.h>
#include <string>
using namespace std;

int main(){
	string T, P;

	cin>>T;
	cin>>P;
	
	if(T.length() >= P.length())
		for(int i=0;i<=T.length()-P.length();i++)
			if(T.substr(i, P.length()) == P)
				printf("%d\n", i);

	return 0;
}
```