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(Problem 六)Sum square difference

发布时间: 2013-11-23 10:52:51 作者: rapoo

(Problem 6)Sum square difference
?385 = 2640.

Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.

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题目大意:

前十个自然数的平方和是:12?+ 22?+ ... + 102?= 385

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前十个自然数的和的平方是: (1 + 2 + ... + 10)2?= 552?= 3025

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所以平方和与和的平方的差是3025?(Problem 六)Sum square difference?385 = 2640.

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找出前一百个自然数的平方和与和平方的差。

#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;}

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Answer:25164150

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