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 = input()
i = 0
while True:
    if i == len(s)-1:
        # print "equal"
        t = ord(s[i])+k
        if t > ord("z"):
            t -= ord("a")
            t %= (ord("z")-ord("a") + 1)
            t += ord("a")
        s = s[:i] + chr(t)
        print s
        exit()
        # print s, k
    elif s[i] != "a" and ord(s[i]) + k > ord("z"):
        # print "carry"
        k = k - ord("z") + ord(s[i]) -1
        s = s[:i] + "a" + s[i+1:]        
        # print s,k
    i += 1
    