#include <bits/stdc++.h>
using namespace std;
int num[1000005];
int main() {
  std::ios::sync_with_stdio(false);
  cin.tie(0);
  long long int ax, ay, bx, by, cx, cy;
  cin >> ax >> ay >> bx >> by >> cx >> cy;
  long long int aa = abs(ax - bx) * abs(ax - bx) + abs(ay - by) * abs(ay - by);
  long long int bb = abs(cx - bx) * abs(cx - bx) + abs(cy - by) * abs(cy - by);
  if (aa == bb) {
    if (ax != bx && bx != cx) {
      double ma = double(ay - by) / double(ax - bx);
      double mb = double(by - cy) / double(bx - cx);
      if (ma == mb)
        cout << "NO\n";
      else
        cout << "YES\n";
    } else {
      if (ax == bx && bx == cx)
        cout << "NO\n";
      else
        cout << "YES\n";
    }
  } else
    cout << "NO\n";
  return 0;
}
