Returns the sum of the number of columns.

Problem description

The sequence is defined as follows:

The first item of the series is N, and the subsequent items are the square root of the previous item, and the sum of the first m items of the series is obtained.

 

Input

There are multiple groups of input data. Each group occupies one row and consists of two integers n (n <10000) and M (M <1000). The meanings of N and m are as described above.

 

Output

For each group of input data, the sum of the output columns, each test instance occupies a row, requires that the precision be kept with 2 decimal places.

 

Sample Input

81 4

2 2

 

Sample output

94.73

3.41

 

 1 #include <stdio.h> 2 #include <math.h> 3   4 int main(){ 5     double a; 6     int b; 7     int i; 8     double result; 9      10      11     while((scanf("%lf%d",&a,&b))!=EOF){12         result=0;13          14         for(i=0;i<b;i++){15             result+=a;16             a=sqrt(a);17         }18          19         printf("%.2lf\n",result);20     }21      22     return 0;23 }

 

Returns the sum of the number of columns.