題目描述
13號又是一個星期五。13號在星期五比在其他日子少嗎?為了回答這個問題,寫一個程序，要求計算每個月的十三號落在周一到周日的次數(shù)。給出N年的一個周期，要求計算1900年1月1日至1900+N-1年12月31日中十三號落在周一到周日的次數(shù)，N為正整數(shù)且不大于400.

這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.閏年2月有29天,平年2月有28天.

3、年份可以被4整除的為閏年(1992=4*498 所以 1992年是閏年,但是1990年不是閏年).

4、以上規(guī)則不適合于世紀(jì)年。可以被400整除的世紀(jì)年為閏年,否則為平年。所以,1700,1800,1900和2100年是平年,而2000年是閏年.

請不要調(diào)用現(xiàn)成的函數(shù)

請不要預(yù)先算好數(shù)據(jù)（就是叫不準(zhǔn)打表）!

輸入輸出格式
輸入格式：
一個正整數(shù)n.

輸出格式：
**輸出請從周六開始

輸入輸出樣例
輸入樣例#1：
20
輸出樣例#1：
36 33 34 33 35 35 34
說明
題目翻譯來自NOCOW。
附上某神人的強模擬，很強，600行

#include<cstdio>using namespace std;bool isLeapYear(int year){if(year == 1900 || year == 2000 || year == 2100 || year == 2200 || year == 2300 || year == 2400 || year == 2500){if(year % 400 == 0){return true;}}else if(year % 4 == 0){return true;}return false; }int main(){int n;scanf("%d",&n);int ans[7] = {};int day = 1;for(int i = 1900;i < 1900 + n;i++){if(isLeapYear(i) == false){for(int j = 0;j < 31;j++){//平年1月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 28;j++){//平年2月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 31;j++){//平年3月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 30;j++){//平年4月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 31;j++){//平年5月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 30;j++){//平年6月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 31;j++){//平年7月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 31;j++){//平年8月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 30;j++){//平年9月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 31;j++){//平年10月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 30;j++){//平年11月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 31;j++){//平年12月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}}else{for(int j = 0;j < 31;j++){//閏年1月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 29;j++){//閏年2月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 31;j++){//閏年3月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 30;j++){//閏年4月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 31;j++){//閏年5月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 30;j++){//閏年6月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 31;j++){//閏年7月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 31;j++){//閏年8月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 30;j++){//閏年9月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 31;j++){//閏年10月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 30;j++){//閏年11月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}for(int j = 0;j < 31;j++){//閏年12月 if(j == 13){if(day == 1){ans[day - 1]++;}else if(day == 2){ans[day - 1]++;}else if(day == 3){ans[day - 1]++;}else if(day == 4){ans[day - 1]++;}else if(day == 5){ans[day - 1]++;}else if(day == 6){ans[day - 1]++;}else if(day == 7){ans[day - 1]++;}}day++;if(day > 7){day = 1;}}}}printf("%d ",ans[6]);printf("%d ",ans[0]);printf("%d ",ans[1]);printf("%d ",ans[2]);printf("%d ",ans[3]);printf("%d ",ans[4]);printf("%d ",ans[5]);return 0; }

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