USACO-Friday the Thirteenth（黑色星期五）-Section1.2<3>
【英文原题】
Friday the Thirteenth
Is Friday the 13th really an unusual event?
That is, does the 13th of the month land on a Friday less often than
on any other day of the week? To answer this question, write a program
that will compute the frequency that the 13th of each month lands on
Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, and Saturday over
a given period of N years. The time period to test will be from January
1, 1900 to December 31, 1900+N-1 for a given number of years, N. N is
positive and will not exceed 400.
Note that the start year is NINETEEN HUNDRED, not 1990.
There are few facts you need to know before you can solve this problem:
- January 1, 1900 was on a Monday.
- Thirty days has September, April, June, and November, all the rest
have 31 except for February which has 28 except in leap years when it
has 29. - Every year evenly divisible by 4 is a leap year (1992 = 4*498 so
1992 will be a leap year, but the year 1990 is not a leap year) - The rule above does not hold for century years. Century years
divisible by 400 are leap years, all other are not. Thus, the century
years 1700, 1800, 1900 and 2100 are not leap years, but 2000 is a leap
year.
Do not use any built-in date functions in your computer language.
Don't just precompute the answers, either, please.
PROGRAM NAME: friday
INPUT FORMAT
One line with the integer N.
SAMPLE INPUT (file friday.in)
20
OUTPUT FORMAT
Seven space separated integers on one line. These integers represent the number of times the 13th falls on Saturday, Sunday, Monday, Tuesday, ..., Friday.
SAMPLE OUTPUT (file friday.out)
36 33 34 33 35 35 34
【中文翻译】
题目描述
13号又是一个星期五。13号在星期五比在其他日子少吗?为了回答这个问题,写一个程序，要求计算每个月的十三号落在周一到周日的次数。给出N年的一个周期，要求计算1900年1月1日至1900+N-1年12月31日中十三号落在周一到周日的次数，N为正整数且不大于400.
这里有一些你要知道的:
1、1900年1月1日是星期一.
2、4,6,11和9月有30天.其他月份除了2月都有31天.闰年2月有29天,平年2月有28天.
3、年份可以被4整除的为闰年(1992=4*498 所以 1992年是闰年,但是1990年不是闰年).
4、以上规则不适合于世纪年。可以被400整除的世纪年为闰年,否则为平年。所以,1700,1800,1900和2100年是平年,而2000年是闰年.
请不要调用现成的函数
请不要预先算好数据（就是叫不准打表）!
输入输出格式
输入格式：
一个正整数n.
输出格式：
**输出请从周六开始
输入输出样例
20
36 33 34 33 35 35 34
#include<stdio.h>
bool isLeapYear(int year)//判断闰年
{
if(year == || year == || year == || year == || year == || year == || year == ){
if(year % == )
{
return true;
}
}
else if(year % == )
{
return true;//是闰年
}
return false;//不是闰年
}
int main(){
int n;
scanf("%d",&n);
int ans[] = {};
int day = ;
for(int i = ;i < + n;i++)
{
if(isLeapYear(i) == false)
{
for(int j = ;j < ;j++)
{//平年1月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//平年2月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//平年3月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//平年4月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//平年5月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//平年6月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//平年7月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//平年8月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//平年9月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//平年10月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//平年11月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//平年12月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
}
else{
for(int j = ;j < ;j++){//闰年1月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//闰年2月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//闰年3月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//闰年4月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//闰年5月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//闰年6月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//闰年7月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//闰年8月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//闰年9月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//闰年10月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//闰年11月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
for(int j = ;j < ;j++){//闰年12月
if(j == ){
if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}else if(day == ){
ans[day - ]++;
}
}
day++;
if(day > ){
day = ;
}
}
}
}
printf("%d ",ans[]);
printf("%d ",ans[]);
printf("%d ",ans[]);
printf("%d ",ans[]);
printf("%d ",ans[]);
printf("%d ",ans[]);
printf("%d ",ans[]);
printf("\n");
return ;
}
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