Gap Existence — Eolymp

Input

The first line contains two numbers $n (2 \leq n \leq 2 \cdot 1 0^{5})$ n\:(2 \le n \le 2 \cdot 10^5) and $x (- 1 0^{9} \leq x \leq 1 0^{9})$ x\:(-10^9 \le x \le 10^9).

The second line contains $n$ integers $a_{1}, a_{2}, ..., a_{n} (- 1 0^{9} \leq a_{i} \leq 1 0^{9})$ a_1, a_2, ..., a_n\:(-10^9 \le a_i \le 10^9).

Output

Print Yes if there is a pair $(i, j)$ with $1 \leq i, j \leq n$ 1 \le i, j \le n such that $a_{i} - a_{j} = x$ a_i - a_j = x, and No otherwise.

Examples

Example 1

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Example 2

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