#include <bits/stdc++.h>
int main() {
  char str[1000 + 1];
  int k, len, f = 1, i, j, l;
  gets(str);
  scanf("%d", &k);
  len = strlen(str);
  if (len % k != 0) {
    printf("NO");
    return 0;
  }
  for (i = 0; i < len; i = i + len / k) {
    for (j = i, l = 0; j < i + (len / k) / 2; j++, l++) {
      if (str[j] != str[(i + len / k) - 1 - l]) {
        printf("NO");
        return 0;
      }
    }
  }
  printf("YES");
  return 0;
}

### Prompt

Construct a Cpp code solution to the problem outlined:

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.

<image>

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.

Input

The first line of input contains string s containing lowercase English letters (1 ≤ |s| ≤ 1000).

The second line contains integer k (1 ≤ k ≤ 1000).

Output

Print "YES"(without quotes) if he has worn his own back-bag or "NO"(without quotes) otherwise.

Examples

Input

saba
2


Output

NO


Input

saddastavvat
2


Output

YES

Note

Palindrome is a string reading the same forward and backward.

In the second sample, the faxes in his back-bag can be "saddas" and "tavvat".

### Response

```cpp
#include <bits/stdc++.h>
int main() {
  char str[1000 + 1];
  int k, len, f = 1, i, j, l;
  gets(str);
  scanf("%d", &k);
  len = strlen(str);
  if (len % k != 0) {
    printf("NO");
    return 0;
  }
  for (i = 0; i < len; i = i + len / k) {
    for (j = i, l = 0; j < i + (len / k) / 2; j++, l++) {
      if (str[j] != str[(i + len / k) - 1 - l]) {
        printf("NO");
        return 0;
      }
    }
  }
  printf("YES");
  return 0;
}

```