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Project Euler 19: Counting Sundays

2016-07-06 21:08 357 查看
You are given the following information, but you may prefer to do some research for yourself.
1 Jan 1900 was a Monday.
Thirty days has September,

April, June and November.

All the rest have thirty-one,

Saving February alone,

Which has twenty-eight, rain or shine.

And on leap years, twenty-nine.
A leap year occurs on any year evenly divisible by 4, but not on a century unless it is divisible by 400.
How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)?
此题要求计算从1901年01月01日到2000年12月31日期间,有多少周日落在每月一日。

开两个数组分别存放平、闰年每月天数(当然只有2月份不同),再开一个1200的数组存放每月一日是第几天(1901年01月01日算作第一天)。由已知推算1901年01月01日为周三,那么显然在1200的数组中对模7同余5的便是周日。

代码如下:

#include<stdio.h>
int main(void){

int a[12]={31,28,31,30,31,30,31,31,30,31,30,31};
int b[12], c[1200];
int i, y, n=0, count=0;

for(i=0;i<12;i++)
b[i]=a[i];
b[1]=29;
c[0]=1;

for(y=1901; y<=2000; y++){
if(y%4!=0)
for(i=0; i<12; i++)
c[i+12*n+1]=c[i+12*n]+a[i];
else
for(i=0; i<12; i++)
c[i+12*n+1]=c[i+12*n]+b[i];
n++;
}

for(i=0; i<1200; i++)
if(c[i]%7==5)
count++;

printf("%d\n",count);

return 0;
}
最终结果为171.
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