Problem: You are given an angle ang. 

The Jury asks You to find such regular n-gon (regular polygon with n vertices) that it has three vertices a, b and c (they can be non-consecutive) with \angle{abc} = ang or report that there is no such n-gon.

<image>

If there are several answers, print the minimal one. It is guarantied that if answer exists then it doesn't exceed 998244353.

Input

The first line contains single integer T (1 ≤ T ≤ 180) — the number of queries. 

Each of the next T lines contains one integer ang (1 ≤ ang < 180) — the angle measured in degrees. 

Output

For each query print single integer n (3 ≤ n ≤ 998244353) — minimal possible number of vertices in the regular n-gon or -1 if there is no such n.

Example

Input


4
54
50
2
178


Output


10
18
90
180

Note

The answer for the first query is on the picture above.

The answer for the second query is reached on a regular 18-gon. For example, \angle{v_2 v_1 v_6} = 50^{\circ}.

The example angle for the third query is \angle{v_{11} v_{10} v_{12}} = 2^{\circ}.

In the fourth query, minimal possible n is 180 (not 90).

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        TaskC solver = new TaskC();
        int testCount = Integer.parseInt(in.next());
        for (int i = 1; i <= testCount; i++)
            solver.solve(i, in, out);
        out.close();
    }

    static class TaskC {
        public void solve(int testNumber, InputReader in, PrintWriter out) {
            int angle = in.nextInt();
            out.println(new int[]{180, 90, 60, 45, 36, 30, 180, 45, 20, 18, 180, 15, 180, 90, 12, 45, 180, 10, 180, 9, 60, 90, 180, 15, 36, 90, 20, 45, 180, 6, 180, 45, 60, 90, 36, 5, 180, 90, 60, 9, 180, 30, 180, 45, 4, 90, 180, 15, 180, 18, 60, 45, 180, 10, 36, 45, 60, 90, 180, 3, 180, 90, 20, 45, 36, 30, 180, 45, 60, 18, 180, 5, 180, 90, 12, 45, 180, 30, 180, 9, 20, 90, 180, 15, 36, 90, 60, 45, 180, 4, 180, 45, 60, 90, 36, 15, 180, 90, 20, 9, 180, 30, 180, 45, 12, 90, 180, 5, 180, 18, 60, 45, 180, 30, 36, 45, 20, 90, 180, 6, 180, 90, 60, 45, 36, 10, 180, 45, 60, 18, 180, 15, 180, 90, 8, 45, 180, 30, 180, 9, 60, 90, 180, 10, 36, 90, 60, 45, 180, 12, 180, 45, 20, 90, 36, 15, 180, 90, 60, 18, 180, 20, 180, 45, 24, 90, 180, 30, 180, 36, 40, 45, 180, 60, 72, 90, 120, 180, 360, -1}[angle - 1]);

//        int[] ans = new int[180];
//        Arrays.fill(ans, -1);
//        for (int n = 3; n<=360; n++) {
//            if(n>180) n=360;
//            System.out.println(n);
//            double[] x = new double[n];
//            double[] y = new double[n];
//            for (int i = 0; i < n; i++) {
//                x[i] = Math.cos(2 * Math.PI / n * i);
//                y[i] = Math.sin(2 * Math.PI / n * i);
//            }
//
//            for (int a = 0; a < n; a++) {
//                for (int b = 0; b < n; b++) {
//                    for (int c = 0; c < n; c++) {
//                        if (a != b && a != c && b != c) {
//                            double ux = x[a] - x[b];
//                            double uy = y[a] - y[b];
//                            double vx = x[c] - x[b];
//                            double vy = y[c] - y[b];
//                            double dot = ux * vx + uy * vy;
//                            double lenu = Math.sqrt(ux * ux + uy * uy);
//                            double lenv = Math.sqrt(vx * vx + vy * vy);
//                            double cs = dot / lenu / lenv;
//                            double acos = Math.acos(cs) / Math.PI * 180;
//                            int round = (int) Math.round(acos);
//                            if (Math.abs(acos - round) < 0.0001) {
//                                if(ans[round-1] == -1) {
//                                    ans[round-1] = n;
//                                    System.out.println(Arrays.toString(ans));
//                                }
//                            }
//                        }
//                    }
//                }
//            }
//        }
//        System.out.println(Arrays.toString(ans));
        }

    }

    static class InputReader {
        final InputStream is;
        final byte[] buf = new byte[1024];
        int pos;
        int size;

        public InputReader(InputStream is) {
            this.is = is;
        }

        public int nextInt() {
            int c = read();
            while (isWhitespace(c))
                c = read();
            int sign = 1;
            if (c == '-') {
                sign = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res = res * 10 + c - '0';
                c = read();
            } while (!isWhitespace(c));
            return res * sign;
        }

        public String next() {
            int c = read();
            while (isWhitespace(c))
                c = read();
            StringBuilder sb = new StringBuilder();
            do {
                sb.append((char) c);
                c = read();
            } while (!isWhitespace(c));
            return sb.toString();
        }

        int read() {
            if (size == -1)
                throw new InputMismatchException();
            if (pos >= size) {
                pos = 0;
                try {
                    size = is.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (size <= 0)
                    return -1;
            }
            return buf[pos++] & 255;
        }

        static boolean isWhitespace(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

    }
}