Problem: NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles:

<image>

It turned out that the circles are equal. NN was very surprised by this fact, so he decided to create a similar picture himself.

He managed to calculate the number of outer circles n and the radius of the inner circle r. NN thinks that, using this information, you can exactly determine the radius of the outer circles R so that the inner circle touches all of the outer ones externally and each pair of neighboring outer circles also touches each other. While NN tried very hard to guess the required radius, he didn't manage to do that. 

Help NN find the required radius for building the required picture.

Input

The first and the only line of the input file contains two numbers n and r (3 ≤ n ≤ 100, 1 ≤ r ≤ 100) — the number of the outer circles and the radius of the inner circle respectively.

Output

Output a single number R — the radius of the outer circle required for building the required picture. 

Your answer will be accepted if its relative or absolute error does not exceed 10^{-6}.

Formally, if your answer is a and the jury's answer is b. Your answer is accepted if and only when (|a-b|)/(max(1, |b|)) ≤ 10^{-6}.

Examples

Input

3 1


Output

6.4641016


Input

6 1


Output

1.0000000


Input

100 100


Output

3.2429391

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.ArrayDeque;
import java.util.ArrayList;

public class Main {
    static Main mm;
    public static void main(String[] args) throws IOException {
        PrintWriter out = new PrintWriter(System.out);
        mm = new Main();
        mm.problemC(new Input(new BufferedReader(new InputStreamReader(System.in))), out);
        out.close();
    }

    static void problemC(Input in, PrintWriter out) throws IOException {
        double n=in.nextDouble(),r=in.nextDouble();
        double a=2*Math.PI/n;
        double ca=Math.cos(a),sa=Math.sin(a);
        double left=0,right=1000;
        double R,eps=1e-8;
        while(true){
            R=(left+right)/2.0;
            double x0=R+r;
            double x=x0*ca,y=x0*sa;
            double d=Math.sqrt((x0-x)*(x0-x)+y*y);
            if(Math.abs(2*R-d)<eps) break;
            if(d>2*R)
                left=R;
            else
                right=R;
        }
        out.println(R);
    }

    static void problemB(Input in, PrintWriter out) throws IOException {
        int n=in.nextInt(),m=in.nextInt(),k=1;
        int[] a=new int [n+1];
        for (int i = 0; i < m; i++) {
            int t=in.nextInt();
            a[t]++;
            boolean bl=true;
            for (int j = 1; j <= n; j++) {
                if(a[j]<k){
                    bl=false;
                    break;
                }
            }
            if(bl){
                k++;
                out.print('1');
            }else{
                out.print('0');
            }

        }
        out.println();
    }

    static void problemA(Input in, PrintWriter out) throws IOException {
        int n=in.nextInt(),k=in.nextInt(),s=0;
        int[] a=new int[k];
        for (int i = 0; i < n; i++) {
            int t=in.nextInt();
            a[i%k]+=t;
            s+=t;
        }
        int res=0;
        for (int i = 0; i < k; i++) {
            res=Math.max(res,Math.abs(s-a[i]));
        }
        out.println(res);
    }

    static class Input {
        BufferedReader in;
        StringBuilder sb = new StringBuilder();

        public Input(BufferedReader in) {
            this.in = in;
        }

        public Input(String s) {
            this.in = new BufferedReader(new StringReader(s));
        }

        public String next() throws IOException {
            sb.setLength(0);
            while (true) {
                int c = in.read();
                if (c == -1) {
                    return null;
                }
                if (" \n\r\t".indexOf(c) == -1) {
                    sb.append((char) c);
                    break;
                }
            }
            while (true) {
                int c = in.read();
                if (c == -1 || " \n\r\t".indexOf(c) != -1) {
                    break;
                }
                sb.append((char) c);
            }
            return sb.toString();
        }

        public char nextChar() throws IOException {
            while (true) {
                int c = in.read();
                if (c == -1) {
                    return (char) c;
                }
                if (" \n\r\t".indexOf(c) == -1) {
                    return (char) c;
                }
            }
        }

        public int nextInt() throws IOException {
            return Integer.parseInt(next());
        }

        public long nextLong() throws IOException {
            return Long.parseLong(next());
        }

        public double nextDouble() throws IOException {
            return Double.parseDouble(next());
        }
    }
}