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
import string

# -*- coding: utf-8 -*-
s = raw_input()
k = int(raw_input())

a_ls = list(string.ascii_lowercase)
a_len = len(a_ls)

end = ''

for c in s:
    idx = a_ls.index(c)
    for_overflow = a_len - idx
    if c is not 'a' and k - for_overflow >= 0:
        end += 'a'
        k -= for_overflow
    else:
        end += c

if k > 0:
    end = end[:len(end)-1] + a_ls[(a_ls.index(end[-1]) + k) % a_len]

# output
print end
