You are given a non-empty string s consisting of lowercase English letters. You have to pick exactly one non-empty substring of s and shift all its letters 'z' <image> 'y' <image> 'x' <image> 'b' <image> 'a' <image> 'z'. In other words, each character is replaced with the previous character of English alphabet and 'a' is replaced with 'z'.

What is the lexicographically minimum string that can be obtained from s by performing this shift exactly once?

Input

The only line of the input contains the string s (1 ≤ |s| ≤ 100 000) consisting of lowercase English letters.

Output

Print the lexicographically minimum string that can be obtained from s by shifting letters of exactly one non-empty substring.

Examples

Input

codeforces


Output

bncdenqbdr


Input

abacaba


Output

aaacaba

Note

String s is lexicographically smaller than some other string t of the same length if there exists some 1 ≤ i ≤ |s|, such that s1 = t1, s2 = t2, ..., si - 1 = ti - 1, and si < ti.
import sys

def shl(s, be, en):
    t = s[:be];
    for i in range(be, en):
        if s[i]=='a':
            t += 'z'
        else:
            t += chr(ord(s[i])-1)
    return t+s[en:]

s = input()
i = 0
L = len(s)
while i<L and s[i]=='a':
    i += 1
if i==L:
    print(s[:L-1]+'z')
    sys.exit()
    
j = i+1
while j<L and s[j]!='a':
    j += 1
print(shl(s,i,j))
