While Mike was walking in the subway, all the stuff in his back-bag dropped on the ground. There were several fax messages among them. He concatenated these strings in some order and now he has string *s*.

He is not sure if this is his own back-bag or someone else's. He remembered that there were exactly *k* messages in his own bag, each was a palindrome string and all those strings had the same length.

He asked you to help him and tell him if he has worn his own back-bag. Check if the given string *s* is a concatenation of *k* palindromes of the same length.
The first line of input contains string *s* containing lowercase English letters (1 ≤ |*s*| ≤ 1000).

The second line contains integer *k* (1 ≤ *k* ≤ 1000).
import sys
import math
import bisect

def solve(s, k):
    n = len(s)
    if n % k:
        return False
    for i in range(0, n, n // k):
        t = s[i:i+n//k]
        if t != t[::-1]:
            return False
    return True

def main():
    s = input()
    k = int(input())
    if solve(s, k):
        print('YES')
    else:
        print('NO')

if __name__ == "__main__":
    main()
