CF1305C Kuroni and Impossible Calculation

Description

To become the king of Codeforces, Kuroni has to solve the following problem. He is given $ n $ numbers $ a_1, a_2, \dots, a_n $ . Help Kuroni to calculate $ \prod_{1\le i

Input Format

The first line contains two integers $ n $ , $ m $ ( $ 2\le n \le 2\cdot 10^5 $ , $ 1\le m \le 1000 $ ) — number of numbers and modulo. The second line contains $ n $ integers $ a_1, a_2, \dots, a_n $ ( $ 0 \le a_i \le 10^9 $ ).

Output Format

Output the single number — $ \prod_{1\le i

Explanation/Hint

In the first sample, $ |8 - 5| = 3 \equiv 3 \bmod 10 $ . In the second sample, $ |1 - 4|\cdot|1 - 5|\cdot|4 - 5| = 3\cdot 4 \cdot 1 = 12 \equiv 0 \bmod 12 $ . In the third sample, $ |1 - 4|\cdot|1 - 9|\cdot|4 - 9| = 3 \cdot 8 \cdot 5 = 120 \equiv 1 \bmod 7 $ .