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.

前十个自然数的平方和是:

12 + 22 + ... + 102 = 385

前十个自然数的和的平方是:

(1 + 2 + ... + 10)2 = 552 = 3025

所以平方和与和的平方的差是3025  385 = 2640.

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=;
while(k--)
{
s*=n;
}
return s;
} int sum1(int n)
{
return powplus((n+)*n/,);
} int sum2(int n)
{
return (n*(n+)*(*n+))/;
} void solve()
{
printf("%d\n",sum1(N));
printf("%d\n",sum2(N));
printf("%d\n",sum1(N)-sum2(N));
} int main()
{
solve();
return ;
}
Answer:
25164150

(Problem 6)Sum square difference的更多相关文章

  1. (Problem 57)Square root convergents

    It is possible to show that the square root of two can be expressed as an infinite continued fractio ...

  2. (Problem 16)Power digit sum

    215 = 32768 and the sum of its digits is 3 + 2 + 7 + 6 + 8 = 26. What is the sum of the digits of th ...

  3. (Problem 13)Large sum

    Work out the first ten digits of the sum of the following one-hundred 50-digit numbers. 371072875339 ...

  4. (Problem 46)Goldbach's other conjecture

    It was proposed by Christian Goldbach that every odd composite number can be written as the sum of a ...

  5. (Problem 42)Coded triangle numbers

    The nth term of the sequence of triangle numbers is given by, tn = ½n(n+1); so the first ten triangl ...

  6. (Problem 74)Digit factorial chains

    The number 145 is well known for the property that the sum of the factorial of its digits is equal t ...

  7. (Problem 37)Truncatable primes

    The number 3797 has an interesting property. Being prime itself, it is possible to continuously remo ...

  8. (Problem 36)Double-base palindromes

    The decimal number, 585 = 10010010012(binary), is palindromic in both bases. Find the sum of all num ...

  9. (Problem 35)Circular primes

    The number, 197, is called a circular prime because all rotations of the digits: 197, 971, and 719, ...

随机推荐

  1. 删除Mac中所有 .DS_Store 隐藏文件

    删除Mac中所有 .DS_Store 隐藏文件 35•36509感谢 longago 分享于 2012-07-06 12:01|只看该作者|倒序浏览|打印 Safari 5.1.7 Mac OS X ...

  2. 关于LD_DEBUG (转载)

    引用 LD_DEBUGThe dynamic library loader used in linux (part of glibc) has some neat tricks. One of the ...

  3. Protel99se教程八:protel99se原理图设计的高级应用

    在我们PCB资源网的前边的protel99se教程当中,我们给大家讲解了如何绘制一个简单的原理图,以及如何将SCH原理图转为PCB,再有就是创建SCH元件,以及如何建立protel99se封库,有了上 ...

  4. 基于SIM 卡卡基不同制作工艺的研究

    1 国内外现行的SIM 卡卡基制作工艺 SIM 卡由卡基和芯片两部分组成.卡基上有植入芯片的台阶式芯片槽,SIM 卡的芯片通过多点焊接植入台阶式芯片槽之中与卡基组成SIM 卡,然后经过个性化数据处理, ...

  5. Android 4.4及以上系统下应用的状态栏颜色渐变效果的实现

    上一篇转载的博文里讲到了怎么开启状态栏透明的效果,不过如果在有ActionBar的情况下,会出现状态栏透明而ActionBar横亘在状态栏和内容之间的丑陋情况,如下图: 通过百度之后,发现了GitHu ...

  6. POJ-1006 Biorhythms

    [题目描述] 三个周期时间分别为:23,28和33.分别给定三个周期的某一天(不一定是第一天),和开始计算的日期,输出下一个triple peak. [思路分析] 如果不了解中国剩余定理,可以通过模拟 ...

  7. GTW likes math(简单数学)

    GTW likes math  Accepts: 472  Submissions: 2140  Time Limit: 2000/1000 MS (Java/Others)  Memory Limi ...

  8. Linux下启用Chrome/Firefox的Java插件

    JDK 已经安装好,可是浏览器执行 Java Applet 时提示需安装 Java 插件. 这时,在浏览器安装文件夹中 plugins 文件夹下创建2个重要的符号链接就可以. libnpjp2.so ...

  9. HTTP协议是无状态协议,怎么理解?

     Http是一个无状态协议,同一个会话的连续两个请求互相不了解,他们由最新实例化的环境进行解析,除了应用本身可能已经存储在全局对象中的全部信息外,该环境不保存与会话有关的不论什么信息. 自己的理解,在 ...

  10. CSS3属性值之box-shadow

    语法:   box-shadow:inset x-offset y-offset blur-radius spread-radius color 也就是:   对象选择器 {box-shadow:投影 ...