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).
def is_palindrome(s):
    i = 0
    j = len(s) - 1
    while i < j:
        if s[i] != s[j]:
            return False
        i += 1
        j -= 1
    return True

def solve(s, k):
    if len(s) % k != 0:
        return False
    n = len(s) // k
    for i in range(0, len(s), n):
        if not is_palindrome(s[i:i+n]):
            return False
    return True

s = input()
k = int(input())
print("YES" if solve(s, k) else "NO")
