Score : 100 points

Problem Statement

You are given a string S consisting of letters b, d, p and q. Determine whether S is a mirror string.

Here, a mirror string is a string S such that the following sequence of operations on S results in the same string S:

  1. Reverse the order of the characters in S.

  2. Replace each occurrence of b by d, d by b, p by q, and q by p, simultaneously.

Constraints

  • 1 \leq |S| \leq 10^5
  • S consists of letters b, d, p, and q.

Input

The input is given from Standard Input in the following format:

S

Output

If S is a mirror string, print Yes. Otherwise, print No.

Sample Input 1

pdbq

Sample Output 1

Yes

Sample Input 2

ppqb

Sample Output 2

No