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 = list(input())
k = int(input())
z_asc = ord('z')
for i in range(len(s)):
    tmp = ord(s[i])
    if 1 + z_asc - tmp <= k and s[i] != 'a':
        k -= 1 + z_asc - tmp
        s[i] = 'a'
if k % 26 != 0:
    s[-1] = chr(ord(s[-1]) + k%26)
ans = "".join(s)
print(ans)
