709_C. Letters Cyclic Shift
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.
```python
s=input()
l=len(s)
a1=a2=1000000
q=[]
k=0
b=''
j=0
if 'a' in s:
    for i in s:
        if i=='a':
            if len(q)>0 and j-q[-1]>1:
                q.append(j)
                k=j
                break
            q.append(j)
        j+=1
    if len(q)==l:
        print('a'*(l-1)+'z')
        exit()
    if q[0]>0:
        for i in range(0,q[0]):
            b+=chr(ord(s[i])-1)
        b+=s[q[0]:]
        print(b)
        exit()
    if len(q)==1:
        b+='a'
        for i in range(1,l):
            b+=chr(ord(s[i])-1)
    else:
        if s[:q[len(q)-1]+1]=='a'*len(q):
            b+="a"*len(q)
            for i in range(q[len(q)-1]+1,l):
                b+=chr(ord(s[i])-1)
            print(b)
            exit()
        else:
            b+=s[:q[len(q)-2]+1]
        for i in range(q[len(q)-2]+1,k):
            b+=chr(ord(s[i])-1)
        if len(q)>1:
            b+=s[k:]
    print(b)
else:
    for i in range(l):
        b+=chr(ord(s[i])-1)
    print(b)

```