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
s = raw_input()
k = int(raw_input())

opreq = [(ord('z') - ord(c) + 1) % 26 for c in s]

s_ = []

if len(s) > 1:
    i = 0
    while i < len(s) - 1:
        if opreq[i] <= k:
            k = k - opreq[i]
            s_.append('a')
        else:
            s_.append(s[i])
        i += 1

# Last character
last_c = chr((k + ord(s[-1]) - ord('a')) % 26 + ord('a'))
s_.append(last_c)

print("".join(s_))