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 = input()
ints = [ord(i) - ord('a') for i in s]
K = int(input())
n = len(s)
i = 0
while i < n:
    if ints[i] != 0 and 25 - ints[i] + 1 <= K:
        K -= 25 - ints[i] + 1
        ints[i] = 0
    i += 1

K %= 26
ints[-1] = (ints[-1] + K) % 26
s_ = ''
for i in ints:
    s_ += chr(i + ord('a'))

print(s_)
