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.
/*
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import java.util.Scanner;

/**
 *
 * @author KCc
 */
public class ACM_Con2_3 {

    /**
     * @param args the command line arguments
     */
    public static void main(String[] args) {
        // TODO code application logic here
        Scanner s = new Scanner(System.in);
        StringBuilder str = new StringBuilder(s.nextLine());
        int a_idx = -1;
        for (int i = 0; i < str.length(); i++){
            if (str.charAt(i) != 'a'){
                a_idx = i;
                break;
            }
        }
        if (a_idx == -1){
            str.setCharAt(str.length() - 1, 'z');
            System.out.println(str.toString());
            return;
        }
        while(a_idx < str.length() && str.charAt(a_idx) != 'a'){
           char c = str.charAt(a_idx);
            int temp = c - '0';
            temp--;
            char c_new = (char) (temp + '0');
            str.setCharAt(a_idx, c_new);
            a_idx++;
        }
        System.out.println(str.toString());
    }
    
}
