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(Problem 6)Sum square difference

2013-07-26 11:02 363 查看
The sum of the squares of the first ten natural numbers is,

12 + 22 + ... + 102 = 385
The square of the sum of the first ten natural numbers is,

(1 + 2 + ... + 10)2 = 552 = 3025
Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025

385
= 2640.
Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.
#include <stdio.h>
#include <string.h>
#include <ctype.h>
#include <math.h>
  
#define N 100
  
int powplus(int n, int k)
{
    int s=1;
    while(k--)
    {
       s*=n;
    }
  return s;
}
  
int sum1(int n)
{
   return  powplus((n+1)*n/2,2);
} 
  
int sum2(int n)
{
   return (n*(n+1)*(2*n+1))/6;
}
  
void solve()
{
     printf("%d\n",sum1(N));
     printf("%d\n",sum2(N));
   printf("%d\n",sum1(N)-sum2(N));
}
  
int main()
{
  solve();
  return 0;
}


Answer:
25164150
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