#include<bits/stdc++.h>
using namespace std;
int main()
{
    string a,b;
    cin>>a>>b;
    for(int i=0;i<a.size();i++)
        if(a.substr(i,b.size())==b) printf("%d\n",i);
    return 0;
}


### Prompt

Develop a solution in Cpp to the problem described below:

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;
int main()
{
    string a,b;
    cin>>a>>b;
    for(int i=0;i<a.size();i++)
        if(a.substr(i,b.size())==b) printf("%d\n",i);
    return 0;
}


```