#include <bits/stdc++.h>
using namespace std;
int len, k;
char s[1005];
bool palin(int i, int j) {
  while (i < j) {
    if (s[i] != s[j]) return false;
    i++, j--;
  }
  return true;
}
bool ktra() {
  int i, l = len / k;
  for (i = 0; i < len; i += l)
    if (!palin(i, i + l - 1)) return false;
  return true;
}
void input() {
  scanf("%s %d", &s, &k);
  len = strlen(s);
  if (len % k != 0 || !ktra())
    printf("NO");
  else
    printf("YES");
}
int main() {
  input();
  return 0;
}

### Prompt

Your challenge is to write a CPP solution to the following problem:

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>
using namespace std;
int len, k;
char s[1005];
bool palin(int i, int j) {
  while (i < j) {
    if (s[i] != s[j]) return false;
    i++, j--;
  }
  return true;
}
bool ktra() {
  int i, l = len / k;
  for (i = 0; i < len; i += l)
    if (!palin(i, i + l - 1)) return false;
  return true;
}
void input() {
  scanf("%s %d", &s, &k);
  len = strlen(s);
  if (len % k != 0 || !ktra())
    printf("NO");
  else
    printf("YES");
}
int main() {
  input();
  return 0;
}

```