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())
s_list = list(s)
for i in range(len(s_list)):
    # how long does it take to force a
    lag = ord('z') - ord(s_list[i]) + 1
    if s_list[i] != 'a' and K >= lag and i < len(s_list) - 1:
        # not a and can conv
        s_list[i] = 'a'
        K -= lag
    elif i == len(s_list) - 1:
        s_list[i] = chr(ord('a') + ((ord(s_list[i]) - ord('a') + K) % 26))
print "".join(s_list)

