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;
inline bool check(long long x1, long long y1, long long x2, long long y2) {
  {
    long long num = x1 * x2 + y1 * y2;
    long long den = x2 * x2 + y2 * y2;
    if (den == 0 && (x1 != 0 || y1 != 0)) return false;
    if (den != 0 && num % den != 0) return false;
  }
  {
    long long num = x1 * y2 - y1 * x2;
    long long den = x2 * x2 + y2 * y2;
    if (den == 0 && (x1 != 0 || y1 != 0)) return false;
    if (den != 0 && num % den != 0) return false;
  }
  return true;
}
int main() {
  ios::sync_with_stdio(false);
  cin.tie(NULL);
  cout << setprecision(32);
  long long xa, xb, xc, ya, yb, yc;
  cin >> xa >> ya;
  cin >> xb >> yb;
  cin >> xc >> yc;
  if (check(xb - xa, yb - ya, xc, yc) || check(xb - ya, yb + xa, xc, yc) ||
      check(xb + xa, yb + ya, xc, yc) || check(xb + ya, yb - xa, xc, yc)) {
    cout << "YES\n";
  } else {
    cout << "NO\n";
  }
  return 0;
}
