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>
using namespace std;
bool check(long long a, long long b, long long c1, long long c2) {
  if (a == 0 && b == 0) {
    if (c1 == c2 && c1 == 0)
      return 1;
    else
      return 0;
  }
  long long tt = a * a + b * b;
  long long t1 = c1 * a + c2 * b;
  long long t2 = a * c2 - b * c1;
  if (t1 % tt == 0 && t2 % tt == 0)
    return 1;
  else
    return 0;
}
int main() {
  long long a1, a2;
  long long b1, b2, c1, c2;
  while (scanf("%I64d %I64d", &a1, &a2) != EOF) {
    scanf("%I64d %I64d", &b1, &b2);
    scanf("%I64d %I64d", &c1, &c2);
    bool flag = 0;
    if (check(c1, c2, b1 - a1, b2 - a2)) flag = 1;
    if (check(c1, c2, b1 + a2, b2 - a1)) flag = 1;
    if (check(c1, c2, b1 + a1, b2 + a2)) flag = 1;
    if (check(c1, c2, b1 - a2, b2 + a1)) flag = 1;
    if (flag)
      puts("YES");
    else
      puts("NO");
  }
  return 0;
}
