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
moji = {a: b for a, b in zip("abcdefghijklmnopqrstuvwxyz", range(26))}

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

for i, e in enumerate(s):
    if e != "a":
        if 26 - moji[e] <= k:
            s[i] = "a"
            k -= 26 - moji[e]

k = k % 26 if k >= 0 else 0
if k != 0:
    s[-1] = "abcdefghijklmnopqrstuvwxyz"[(moji[s[-1]] + k) if moji[s[-1]]+k < 26 else moji[s[-1]] + k - 25]

print "".join(s)
