HDU-ACM1012

u Calculate e

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 40547    Accepted Submission(s): 18428

Problem Description

A simple mathematical formula for e is



where n is allowed to go to infinity. This can actually yield very accurate approximations of e using relatively small values of n.

 

Output

Output the approximations of e generated by the above formula for the values of n from 0 to 9. The beginning of your output should appear similar to that shown below.

 

Sample Output

   
   
   
   

    
    
    
    n e - ----------- 0 1 1 2 2 2.5 3 2.666666667 4 2.708333333
   
   
   
   

class Main{
    public static void main(String[] args) {
        double e;
        System.out.println("n e");
        System.out.println("- -----------");
        System.out.println("0 1");
        System.out.println("1 2");
        System.out.println("2 2.5");
        int t=2;
        e=2.5;
        for (int i=3;i<=9;i++){
        	t*=i;
        	e+=1.0/t;
        	System.out.printf("%d %.9f",i,e);
        	System.out.println();
        }
    }
}