Problem: While sailing on a boat, Inessa noticed a beautiful water lily flower above the lake's surface. She came closer and it turned out that the lily was exactly H centimeters above the water surface. Inessa grabbed the flower and sailed the distance of L centimeters. Exactly at this point the flower touched the water surface.

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Suppose that the lily grows at some point A on the lake bottom, and its stem is always a straight segment with one endpoint at point A. Also suppose that initially the flower was exactly above the point A, i.e. its stem was vertical. Can you determine the depth of the lake at point A?

Input

The only line contains two integers H and L (1 ≤ H < L ≤ 10^{6}).

Output

Print a single number — the depth of the lake at point A. The absolute or relative error should not exceed 10^{-6}.

Formally, let your answer be A, and the jury's answer be B. Your answer is accepted if and only if \frac{|A - B|}{max{(1, |B|)}} ≤ 10^{-6}.

Examples

Input


1 2


Output


1.5000000000000


Input


3 5


Output


2.6666666666667

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;
import java.lang.*;
import java.math.*;
import java.util.Map.*;
public class codeforces {
     static int count =0;
     static int [] arr;
	static PrintWriter pw=new PrintWriter(System.out);
	static BufferedWriter log = new BufferedWriter(new OutputStreamWriter(System.out));
	static void solve(int index , int mask) {
		if(index==arr.length) {
			int sum1=0; int sum2=0;
			for(int i=0;i<arr.length;i++) {
				if((mask & 1<<i)!=0) sum1+=arr[i];
				
			}
			return;
		}
		solve(index+1, mask | 1<<index);
		solve(index+1, mask);
	}
	public static void main(String [] args) throws IOException, InterruptedException {
		Scanner sc=new Scanner(System.in);
		StringBuffer sb=new StringBuffer();
		double x=sc.nextDouble();
		double y=sc.nextDouble();
		pw.print(((y*y)-(x*x))/(2*x));
	    pw.flush();
		pw.close();
	}
	
	
	static class pair implements Comparable<pair>{
		String  name; int x,y ;
		public pair(String name , int x) {
			this.name=name; this.x=x;
		}
		
		public pair (int x,int y) {
			this.x=x; this.y=y;
		}
		public int compareTo(pair o) {
			if(!name.equals(o.name))
				return name.compareTo(o.name);
			return x-o.x;
		}
		public String toString() {
			return name +" "+x;
		}
	}

   static class Scanner {
		StringTokenizer st;
		BufferedReader br;
 
		public Scanner(InputStream system) {
			br = new BufferedReader(new InputStreamReader(system));
		}
 
		public Scanner(String file) throws Exception {
			br = new BufferedReader(new FileReader(file));
		}
 
		public String next() throws IOException {
			while (st == null || !st.hasMoreTokens())
				st = new StringTokenizer(br.readLine());
			return st.nextToken();
		}
 
		public String nextLine() throws IOException {
			return br.readLine();
		}
 
		public int nextInt() throws IOException {
			return Integer.parseInt(next());
		}
 
		public double nextDouble() throws IOException {
			return Double.parseDouble(next());
		}
 
		public char nextChar() throws IOException {
			return next().charAt(0);
		}
 
		public Long nextLong() throws IOException {
			return Long.parseLong(next());
		}
 
		public boolean ready() throws IOException {
			return br.ready();
		}
 
		public void waitForInput() throws InterruptedException {
			Thread.sleep(3000);
		}
	}
	}