WAP to calculate 1/1!+2/2!+3^2/3!+4^3/4!+5^4/5!+6^5/6!
Objective
Write a C++ program to calculate a complex exponential factorial series.
Algorithm / Approach
- Define a
fact()function and a custompower()function. - Use a loop to calculate the term for each step:
power(i, i-1) / fact(i). - Add it to a running float
sum.
main.cpp
#include<iostream >
int fact(int);
float power(int,int);
int main( ){
int i;
float sum;
for(i=0; i<=6; i++){
sum = sum+power(i,i-1)/fact(i);
}
cout("Sum = %f\n",sum);
return 0;
}
int fact(int x){
if(x==0 || x==1){
return 1;
}
else{
return x*fact(x-1);
}
}
float power(int x, int y){
int j, result=1;
for(j=1; j<=y; j++){
result = x*result;
}
return result;
}Expected Output
Sum = 22.174999
Explanation of the Program
- This program uses multiple separate utility functions (power and factorial) to build a complex mathematical equation cleanly.
- Note on the provided code: There is a severe syntax error on line 199.
cout("Sum = %f\n", sum);is invalid C++. It attempts to mix C-styleprintfformatting with the C++coutobject. It should either beprintf("Sum = %f\n", sum);orcout << "Sum = " << sum;.
Complexity
Time Complexity
O(n^2)
Space Complexity
O(n)
Common Mistakes
- Syntax Error: Attempting to use
printfstyle formatting inside acoutstatement (e.g.,cout("Sum = %f", sum)).
