#include<bits/stdc++.h>
using namespace std;
string S, T;
int main() {

    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    string s1, s2;
	cin >> s1 >> s2;
	if (s1.size() >= s2.size()) {
		for (int i = 0; i <= s1.size() - s2.size(); i++) {
			if (s2 == s1.substr(i, s2.size())) {
				printf("%d\n",i);
			}
		}
	}

	return 0;
}

### Prompt

Create a solution in cpp for 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>
using namespace std;
string S, T;
int main() {

    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    string s1, s2;
	cin >> s1 >> s2;
	if (s1.size() >= s2.size()) {
		for (int i = 0; i <= s1.size() - s2.size(); i++) {
			if (s2 == s1.substr(i, s2.size())) {
				printf("%d\n",i);
			}
		}
	}

	return 0;
}

```