Numbers

题意翻译

给你一个 $n$ 的排列和一个整数 $p$，要求留下若干个数字，使得剩下的数字异或为 $0$，并且从左到右串联起来可以被 $p$ 整除，求一种这样的方案。输出保留的每个数的下标位置，顺序随意。 $1 \leq n, p \leq 5 \times 10^4$。

题目描述

You have a sequence of $ n $ distinct integers $ a_{1},a_{2},...,a_{n} $ $ (1<=a_{i}<=n) $ . You want to remove some integers in such a way that the resulting sequence of integers satisfies the following three conditions: 1. the resulting sequence is not empty; 2. the exclusive or ( $ xor $ operation) of all the integers in the resulting sequence equals $ 0 $ ; 3. if you write all the integers of the resulting sequence (from beginning to the end) in a row in the decimal numeral system and without any spaces, the written number is divisible by $ p $ . You are given the sequence of $ n $ integers $ a $ and a prime number $ p $ , find a way to satisfy the described conditions.

输入输出格式

输入格式

The first line of the input contains two integers $ n $ and $ p $ $ (1<=n,p<=50000) $ . Next line contains $ n $ space-separated distinct integers $ a_{1},a_{2},...,a_{n} $ $ (1<=a_{i}<=n) $ . It is guaranteed that $ p $ is a prime number.

输出格式

If there is no solution for the given input, print "No" (without quotes) in the only line of the output. Otherwise print "Yes" in the first line of output. The second line should contain an integer $ k $ $ (k&gt;0) $ specifying the number of remaining elements and the third line should contain $ k $ distinct integers $ x_{1},x_{2},...,x_{k} $ $ (1<=x_{i}<=n) $ . These integers mean that you should remove all integers from the sequence except integers $ a_{x1},a_{x2},...,a_{xk} $ to satisfy the described conditions. If there are multiple solutions, any of them will be accepted.

输入输出样例

输入样例 #1

3 3
1 2 3

输出样例 #1

Yes
3
1 2 3 

输入样例 #2

3 5
1 2 3

输出样例 #2

No