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: 

<image>

Solution for the third sample test is shown below: 

<image>

Solution for the fourth sample test is shown below: 

<image>

Solution (in JAVA):

Solution:
import java.io.*;
import java.math.*;
import java.util.*;
import java.util.concurrent.ArrayBlockingQueue;


public class Main {

    InputReader input;
    PrintWriter output;

    void run(){
        output = new PrintWriter(new OutputStreamWriter(System.out));
        input = new InputReader(System.in);
        solve();
        output.flush();
    }

    public static void main(String[] args){
        new Main().run();
    }
    
    
    void solve() {
        int n = input.ni();
        double[] angles = new double[n];
        for(int i = 0; i < n; i++) {
            int x = input.ni();
            int y = input.ni();
            angles[i] = Math.atan2(y, x) * 180.00 / Math.PI;
        }
        Arrays.sort(angles);
        double res = angles[n-1] - angles[0];
        for(int i = 0; i < n-1; i++) {
            res = Math.min(res, 360 - (angles[i+1] - angles[i]));
        }
        output.printf("%.10f\n", res);
    }
    
    class InputReader {
        private boolean finished = false;
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private SpaceCharFilter filter;

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

        public int read() {
                if (numChars == -1)
                        throw new InputMismatchException();
                if (curChar >= numChars) {
                        curChar = 0;
                        try {
                                numChars = stream.read(buf);
                        } catch (IOException e) {
                                throw new InputMismatchException();
                        }
                        if (numChars <= 0)
                                return -1;
                }
                return buf[curChar++];
        }

        public int peek() {
                if (numChars == -1)
                        return -1;
                if (curChar >= numChars) {
                        curChar = 0;
                        try {
                                numChars = stream.read(buf);
                        } catch (IOException e) {
                                return -1;
                        }
                        if (numChars <= 0)
                                return -1;
                }
                return buf[curChar];
        }

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

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

        public String ns() {
                int c = read();
                while (isSpaceChar(c))
                        c = read();
                StringBuilder res = new StringBuilder();
                do {
                        res.appendCodePoint(c);
                        c = read();
                } while (!isSpaceChar(c));
                return res.toString();
        }

        public boolean isSpaceChar(int c) {
                if (filter != null)
                        return filter.isSpaceChar(c);
                return isWhitespace(c);
        }

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

        private String readLine0() {
                StringBuilder buf = new StringBuilder();
                int c = read();
                while (c != '\n' && c != -1) {
                        if (c != '\r')
                                buf.appendCodePoint(c);
                        c = read();
                }
                return buf.toString();
        }

        public String readLine() {
                String s = readLine0();
                while (s.trim().length() == 0)
                        s = readLine0();
                return s;
        }

        public String readLine(boolean ignoreEmptyLines) {
                if (ignoreEmptyLines)
                        return readLine();
                else
                        return readLine0();
        }

        public BigInteger readBigInteger() {
                try {
                        return new BigInteger(ns());
                } catch (NumberFormatException e) {
                        throw new InputMismatchException();
                }
        }

        public char readCharacter() {
                int c = read();
                while (isSpaceChar(c))
                        c = read();
                return (char) c;
        }

        public double readDouble() {
                int c = read();
                while (isSpaceChar(c))
                        c = read();
                int sgn = 1;
                if (c == '-') {
                        sgn = -1;
                        c = read();
                }
                double res = 0;
                while (!isSpaceChar(c) && c != '.') {
                        if (c == 'e' || c == 'E')
                                return res * Math.pow(10, ni());
                        if (c < '0' || c > '9')
                                throw new InputMismatchException();
                        res *= 10;
                        res += c - '0';
                        c = read();
                }
                if (c == '.') {
                        c = read();
                        double m = 1;
                        while (!isSpaceChar(c)) {
                                if (c == 'e' || c == 'E')
                                        return res * Math.pow(10, ni());
                                if (c < '0' || c > '9')
                                        throw new InputMismatchException();
                                m /= 10;
                                res += (c - '0') * m;
                                c = read();
                        }
                }
                return res * sgn;
        }

        public boolean eof() {
                int value;
                while (isSpaceChar(value = peek()) && value != -1)
                        read();
                return value == -1;
        }

        public String next() {
                return ns();
        }

        public SpaceCharFilter getFilter() {
                return filter;
        }

        public void setFilter(SpaceCharFilter filter) {
                this.filter = filter;
        }
       
    }
     public interface SpaceCharFilter {
         public boolean isSpaceChar(int ch);
     }

}