Placeholder Contest Title

A. Quick Maths

Given two integers \( A \) and \( B \), print their sum.

Input

The first line contains two integers \( A \) and \( B \) \( (0 ≤ A ≤ 100, 0 ≤ B ≤ 100)\).

Output

Print the sum of \( A \) and \( B \).

Example

Input

2 2

Output

4

Input

9 10

Output

19

Explanation

In the first example, 2 + 2 = 4.

B. Two Sum

You are given an array of \( n \) integers and an integer \( t \). Your task is to determine whether there exist two distinct elements in the array such that their sum equals \( t \).

If such a pair exists, output the 1-indexed positions of any such pair. If there are multiple valid answers, output any of them. If no such pair exists, output IMPOSSIBLE.

Input

The first line contains two integers \( n \) and \( t \) \( (2 ≤ n ≤ 10^5, -10^9 ≤ t ≤ 10^9)\).

The second line contains \( n \) integers \( a_1, a_2, ..., a_n \) \((-10^9 ≤ a_i ≤ 10^9)\).

Output

If there exists a pair \( (i,j) (i < j) \) such that \( a_i + a_j = t \), output two integers representing the indices \( i \) and \( j \).

If no such pair exists, output IMPOSSIBLE.

Example

Input

4 9
2 7 11 15

Output

1 2

Help: Standard Input/Output

In programming competitions, problems usually require you to read from standard input and write to standard output.

What is Standard Input?

This is the input your program reads from the console. You don't need to open any files or create a GUI. Just read using language-specific commands like cin (C++) or input() (Python).

What is Standard Output?

This is where your program writes its answers — again, through the console. Use commands like cout (C++) or print() (Python). Make sure the output matches the required format exactly.

Sample Problem:

Given two integers \( A \) and \( B \), print their sum.

Input

3 4

Output

7

Sample Solution Template

In C++

#include <iostream>
using namespace std;

int main() {
    int A, B;
    cin >> A >> B; // Read two integers
    cout << A + B << endl; // Print their sum
    return 0;
}

In Python

# Read input, split by space, convert to int
A, B = map(int, input().split())
print(A + B)