Problem: Flatland has recently introduced a new type of an eye check for the driver's licence. The check goes like that: there is a plane with mannequins standing on it. You should tell the value of the minimum angle with the vertex at the origin of coordinates and with all mannequins standing inside or on the boarder of this angle. 

As you spend lots of time "glued to the screen", your vision is impaired. So you have to write a program that will pass the check for you.

Input

The first line contains a single integer n (1 ≤ n ≤ 105) — the number of mannequins.

Next n lines contain two space-separated integers each: xi, yi (|xi|, |yi| ≤ 1000) — the coordinates of the i-th mannequin. It is guaranteed that the origin of the coordinates has no mannequin. It is guaranteed that no two mannequins are located in the same point on the plane.

Output

Print a single real number — the value of the sought angle in degrees. The answer will be considered valid if the relative or absolute error doesn't exceed 10 - 6. 

Examples

Input

2
2 0
0 2


Output

90.0000000000


Input

3
2 0
0 2
-2 2


Output

135.0000000000


Input

4
2 0
0 2
-2 0
0 -2


Output

270.0000000000


Input

2
2 1
1 2


Output

36.8698976458

Note

Solution for the first sample test is shown below: 

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Solution for the second sample test is shown below: 

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Solution for the third sample test is shown below: 

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Solution for the fourth sample test is shown below: 

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Solution (in JAVA):

Solution:
import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.FileReader;
import java.util.Arrays;
import java.io.BufferedWriter;
import java.io.BufferedReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.File;
import java.io.Writer;
import java.util.StringTokenizer;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 * @author monsterspy
 */
public class Main {
	public static void main(String[] args) {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		FastScanner in = new FastScanner(inputStream);
		Output out = new Output(outputStream);
		TaskC solver = new TaskC();
		solver.solve(1, in, out);
		out.close();
	}
}

class TaskC {
    public void solve(int testNumber, FastScanner s, Output ww) {
        try {
            int N = s.nextInt();
            double[] A = new double[N];
            for (int i = 0; i < N; ++i) {
                double x = s.nextInt(), y = s.nextInt();
                A[i] = Math.atan2(y, x);
            }

            Arrays.sort(A);
            A = Arrays.copyOf(A, N + 1);
            A[N] = A[0] + 2 * Math.PI;
            double D = 0;
            for (int i = 1; i <= N; ++i)
                D = Math.max(D, A[i] - A[i - 1]);

            double res = 360 - D * 180 / Math.PI;
            ww.print(res);
        } catch (IOException e) {
            e.printStackTrace();
        }
    }
}

class FastScanner {
    BufferedReader s;
    StringTokenizer st;

    public FastScanner(InputStream InputStream){
        st = new StringTokenizer("");
        s = new BufferedReader(new InputStreamReader(InputStream));
    }

    public FastScanner(File f) throws FileNotFoundException{
        st = new StringTokenizer("");
        s = new BufferedReader (new FileReader(f));
    }

    public int nextInt() throws IOException{
        if(st.hasMoreTokens())
            return Integer.parseInt(st.nextToken());
        else{
            st = new StringTokenizer(s.readLine());
            return nextInt();
        }
    }

}

class Output {

    private final PrintWriter writer;

    public Output(OutputStream outputStream) {
        writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
    }

    public Output(Writer writer) {
        this.writer = new PrintWriter(writer);
    }

    public void print(Object...objects) {
        for (int i = 0; i < objects.length; i++) {
            if (i != 0)
                writer.print(' ');
            writer.print(objects[i]);
        }
    }

    public void close() {
        writer.close();
    }


}