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
def num_to_char(s_num):
    ch = []
    for num in s_num:
        ch.append(alphabet[(num%26)-1])
    return ch

s = raw_input()
K = input()

alphabet = ['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']
ans = []

s_num = []
for char in s:
    s_num.append(alphabet.index(char) + 1)

for i in xrange(len(s_num)):
    if 27 - s_num[i] <= K and (s_num[i] != 1) and (i != len(s_num) - 1):
        K = K - (27 - s_num[i])
        s_num[i] = 27
    elif (i == len(s_num) - 1):
        s_num[i] = s_num[i] + K
    else:
        pass
print "".join(num_to_char(s_num))