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;
long long x1, y8477234, x2, y2, x3, y3, ix3, iy3;
int i;
long long sqr(long long x) { return (x * x); }
bool check(long long xx, long long yy) {
  long long aa = xx * x3 + yy * y3;
  long long bb = xx * ix3 + yy * iy3;
  long long cc = sqr(x3) + sqr(y3);
  if (cc == 0) return ((xx == 0) && (yy == 0));
  return ((aa % cc == 0) && (bb % cc == 0));
}
int main() {
  cin >> x1 >> y8477234 >> x2 >> y2 >> x3 >> y3;
  ix3 = -y3;
  iy3 = x3;
  for (i = 0; i < 4; i++) {
    swap(x1, y8477234);
    x1 = -x1;
    if (check(x2 - x1, y2 - y8477234)) break;
  }
  if (i < 4)
    cout << "YES" << endl;
  else
    cout << "NO" << endl;
  return 0;
}
