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CSES Problem Set

Sum of Three Values


Task | Statistics


CSES - Sum of Three ValuesCSES - Sum of Three Values

Time limit:1.00 s Memory limit:512 MB

You are given an array of $n$ integers, and your task is to find three values (at distinct positions) whose sum is $x$.

Input

The first input line has two integers $n$ and $x$: the array size and the target sum.

The second line has $n$ integers $a_1,a_2,\dots,a_n$: the array values.

Output

Print three integers: the positions of the values. If there are several solutions, you may print any of them. If there are no solutions, print IMPOSSIBLE.

Constraints
Example

Input:
4 8
2 7 5 1


Output:
1 3 4