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 ax, ay, bx, by, cx, cy;
bool check(long long ax, long long ay, long long bx, long long by, long long cx,
           long long cy) {
  long long tx = bx - ax, ty = by - ay;
  if (cx == 0 && cy == 0) return (tx == 0 && ty == 0);
  long long dx = cy, dy = -cx;
  long long a = (tx * dy - dx * ty) / (cx * dy - dx * cy);
  long long b = (tx * cy - cx * ty) / (dx * cy - cx * dy);
  if (a * cx + b * dx != tx) return false;
  if (a * cy + b * dy != ty) return false;
  return true;
}
int main() {
  cin >> ax >> ay >> bx >> by >> cx >> cy;
  bool flag = false;
  if (check(ax, ay, bx, by, cx, cy)) flag = true;
  if (check(ay, -ax, bx, by, cx, cy)) flag = true;
  if (check(-ax, -ay, bx, by, cx, cy)) flag = true;
  if (check(-ay, ax, bx, by, cx, cy)) flag = true;
  if (flag)
    cout << "YES" << endl;
  else
    cout << "NO" << endl;
  return 0;
}
