Problem Statement

You are given an integer sequence $A = (A_1, A_2, \dots, A_N)$ and an integer $X$. Print one triple of integers $(i, j, k)$ satisfying all of the following conditions. If no such triple exists, report that fact.

• $1 \leq i \lt j \lt k \leq N$
• $A_i + A_j + A_k = X$

Constraints

• $3 \leq N \leq 10^6$
• $1 \leq X \leq 10^6$
• $1 \leq A_i \leq X$
• All input values are integers.

Input

The input is given from Standard Input in the following format:

N X
A_1 A_2 \dots A_N

Output

If there exists an integer triple $(i, j, k)$ satisfying the conditions, print one in the following format. If there are multiple solutions, you may print any of them.

i j k

If no such triple exists, print -1.