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
#"a" 97 "z" 122
s = list(ord(i) for i in input())
k = int(input())

for i in range(len(s)-1):
  if s[i] == ord("a"): continue
  t = ord("z")+1-s[i]
  if k >= t:
    s[i] = 97
    k -= t
if k > 0:
  k %= 26
  s[-1] += k
  if s[-1] > ord("z"):
    s[-1] -= 26
print("".join(list(map(chr, s))))