LogiQuest

190. Distinct Pairs with Sum

MediumHash Set

Count distinct value pairs {x, y} (x ≤ y, from different positions) with x + y = k.

Input format

Line 1: n k Line 2: n integers

Output format

The number of distinct pairs.

Example 1

Input

6 6
1 5 3 3 5 1

Output

2

Example 2

Input

4 2
1 1 1 1

Output

1

Constraints

1 ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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