Emuskald needs a fence around his farm, but he is too lazy to build it himself. So he purchased a fence-building robot.

He wants the fence to be a regular polygon. The robot builds the fence along a single path, but it can only make fence corners at a single angle a.

Will the robot be able to build the fence Emuskald wants? In other words, is there a regular polygon which angles are equal to a?

Input

The first line of input contains an integer t (0 < t < 180) — the number of tests. Each of the following t lines contains a single integer a (0 < a < 180) — the angle the robot can make corners at measured in degrees.

Output

For each test, output on a single line "YES" (without quotes), if the robot can build a fence Emuskald wants, and "NO" (without quotes), if it is impossible.

Examples

Input

3
30
60
90


Output

NO
YES
YES

Note

In the first test case, it is impossible to build the fence, since there is no regular polygon with angle <image>.

In the second test case, the fence is a regular triangle, and in the last test case — a square.
#include <bits/stdc++.h>
using namespace std;
int tu(int val) { return (1 << val); }
bool iset(int mask, int id) {
  if ((mask & tu(id)) != 0) return true;
  return false;
}
void doset(int &mask, int id) { mask |= tu(id); }
void dounset(int &mask, int id) { mask = mask & (~tu(id)); }
template <typename T>
string tos(T a) {
  stringstream ss;
  string ret;
  ss << a;
  ss >> ret;
  return ret;
}
int main() {
  int T;
  cin >> T;
  int an;
  for (int(t) = (0); (t) < (T); (t)++) {
    cin >> an;
    int fan = 180 - an;
    if (an >= 60 && an < 180 && (360 % fan == 0))
      cout << "YES";
    else
      cout << "NO";
    cout << endl;
  }
  return 0;
}
