At a geometry lesson Gerald was given a task: to get vector B out of vector A. Besides, the teacher permitted him to perform the following operations with vector А:

  * Turn the vector by 90 degrees clockwise.
  * Add to the vector a certain vector C.



Operations could be performed in any order any number of times.

Can Gerald cope with the task?

Input

The first line contains integers x1 и y1 — the coordinates of the vector A ( - 108 ≤ x1, y1 ≤ 108). The second and the third line contain in the similar manner vectors B and C (their coordinates are integers; their absolute value does not exceed 108).

Output

Print "YES" (without the quotes) if it is possible to get vector B using the given operations. Otherwise print "NO" (without the quotes).

Examples

Input

0 0
1 1
0 1


Output

YES


Input

0 0
1 1
1 1


Output

YES


Input

0 0
1 1
2 2


Output

NO
#include <bits/stdc++.h>
long long int x, y, S, T, a, b;
int AC = 0;
int f(long long int S, long long int T) {
  if (x == S && y == T) return 1;
  if (a == 0 && b == 0) return 0;
  long long int A = b, B = a, C = S - x, D = -a, E = b, F = T - y;
  long long int DET = A * E - B * D, DX = B * F - C * E, DY = A * F - C * D;
  if (DX % DET == 0 && DY % DET == 0)
    return 1;
  else
    return 0;
}
int main() {
  scanf("%I64d%I64d%I64d%I64d%I64d%I64d", &x, &y, &S, &T, &a, &b);
  AC = 0;
  AC = f(S, T) || f(-T, S) || f(-S, -T) || f(T, -S);
  printf("%s\n", AC ? "YES" : "NO");
  return 0;
}
