Mr. Takahashi has a string s consisting of lowercase English letters. He repeats the following operation on s exactly K times.

* Choose an arbitrary letter on s and change that letter to the next alphabet. Note that the next letter of `z` is `a`.



For example, if you perform an operation for the second letter on `aaz`, `aaz` becomes `abz`. If you then perform an operation for the third letter on `abz`, `abz` becomes `aba`.

Mr. Takahashi wants to have the lexicographically smallest string after performing exactly K operations on s. Find the such string.

Constraints

* 1≤|s|≤10^5
* All letters in s are lowercase English letters.
* 1≤K≤10^9

Input

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


s
K


Output

Print the lexicographically smallest string after performing exactly K operations on s.

Examples

Input

xyz
4


Output

aya


Input

a
25


Output

z


Input

codefestival
100


Output

aaaafeaaivap
# -*- coding:utf-8 -*-
s = list(input())
k = int(input())
for tmp in range(len(s)):
    if k == 0:
        break
    a = 26-(ord(s[tmp]) - ord('a'))
    if s[tmp] != 'a' and k >= a: 
        k -= a
        s[tmp] = 'a'
    else:
        pass
if k > 0:
    s[len(s)-1] = chr((ord(s[len(s)-1])+k%26))
print(''.join(s))