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 = bytearray(raw_input())
N = int(raw_input())
dis = [ord('z')-c for c in s]

for idx, d in enumerate(dis[:-1]):
    if d!=25 and d+1 <= N:
        s[idx] = 'a'
        N -= (d+1)

if N > 0:
    N %= 26
    t = (dis[-1]-N) % 26
    s[-1] = chr(ord('z') - t)
print s