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 -*-
import sys,copy,math,heapq,itertools as it,fractions,re,bisect,collections as coll

alpha = "abcdefghijklmnopqrstuvwxyz"

s = raw_input()
K = int(raw_input())
dic = dict([alpha[i], i] for i in xrange(len(alpha)))

ans = [] 
for si in s:
    d = 26 - dic[si] if si != "a" else 0
    if d <= K:
        ans.append("a")
        K -= d
    else:
        ans.append(si)

if K > 0:
    ans[-1] = alpha[(dic[ans[-1]] + K) % 26]

print "".join(ans)
