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_l = ['a','b','c','d','e','f','g','h','i','j','k','l','m','n','o','p','q','r','s','t','u','v','w','x','y','z']

def s_i(st):
    for i in range(26):
        if st == s_l[i]:
            return i + 1
            break

j = 0
while k > 0 and j <= len(s)-1:
    a = s_i(s[j])
    if s[j] == 'a' and j < len(s)-1:
        pass
    elif 27 - a <= k and j < len(s)-1:
        k = k - (27 - a)
        s = s[:j] + 'a' + s[j+1:]
    elif j == len(s) - 1:
        t = (a+k)%26 - 1
        if t >= 0:
            s = s[:j] + s_l[t]
        else:
            s = s[:j] + s_l[t + 26]
        break
    else:
        pass
    j += 1

print s
