Yet Another Mod Mod Mod

You are given $n$ numbers $a_1,a_2, ... a_n$ and another number $x$. Let $P= p_1,p_2,...p_n$ be any permutation of $1,2,...n$. Your task is to find the number of distinct values of $((((x\%a_{p_1})\%a_{p_2})\%a_{p_3}...)\%a_{p_n}$ ### Input: - The first line contains $T$, the number of testcases. - There are two lines in each testcase. The first line contains the numbers $n$ and $x$. - The se