Problem:
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:

Reverse the order of the characters in S.

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

Solution in Ruby (2.3.3) (judge verdict: Wrong Answer)

a=gets.chomp
b=a.reverse.gsub('b','1').gsub('d','2').gsub('p','3').gsub('q','4')
c=a.gsub('b','2').gsub('d','1').gsub('p','4').gsub('q','3')
puts b==c ? 'YES' : 'NO'