#include <bits/stdc++.h>
#include <iostream>
using namespace std;

int main() {
	string s, p; 
	getline(cin, s);
	getline(cin, p);

	int sLen = s.length();
	int pLen = p.length();

	if(pLen>sLen) return 0; //User can pass bigger pattern then text

    for(int i = 0; i<= s.length() - pLen; i++)
	{
		if(s.substr(i, pLen)==p)
		{
			cout<<i<< "\n" ; 
		}
	}
	return 0;
}

### Prompt

In Cpp, your task is to solve 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 <bits/stdc++.h>
#include <iostream>
using namespace std;

int main() {
	string s, p; 
	getline(cin, s);
	getline(cin, p);

	int sLen = s.length();
	int pLen = p.length();

	if(pLen>sLen) return 0; //User can pass bigger pattern then text

    for(int i = 0; i<= s.length() - pLen; i++)
	{
		if(s.substr(i, pLen)==p)
		{
			cout<<i<< "\n" ; 
		}
	}
	return 0;
}

```