日期类问题
@(算法)
日期类问题中最基本的问题——求两个日期间的天数差。
解决这类区间问题有一个统一的思想——把原区间问题统一到起点确定的区间问题上去。日期类问题有一个特别需要注意的要点——闰年
闰年的判断规则:当年数不能被100整除时若能被4整除,或者其能被400整除时也是闰年。用逻辑表达式为: Year%100!=0 && Year%4==0 || Year%400==0
例题
题目描述
We now use the Gregorian style of dating in Russia. The leap years are years with number divisible by 4 but not divisible by 100, or divisible by 400.For example, years 2004, 2180 and 2400 are leap. Years 2004, 2181 and 2300 are not leap. Your task is to write a program which will compute the day of week corresponding to a given date in the nearest past or in the future using today’s agreement about dating.
输入
There is one single line contains the day number d, month name M and year number y(1000≤y≤3000). The month name is the corresponding English name starting from the capital letter.
输出
Output a single line with the English name of the day of week corresponding to the date, starting from the capital letter. All other letters must be in lower case.
样例输入
9 October 2001 14 October 2001
样例输入
Tuesday Sunday
代码块
// task.cpp : 定义控制台应用程序的入口点。//#include "stdafx.h"#include#include #include #define ISYEAR(x) x%100!=0 && x%4==0 || x%400==0?1:0//判断是否是闰年using namespace std;//每月的天数int dayOfMonth[13][2] = { 0,0, 31,31, 28,29, 31,31, 30,30, 31,31, 30,30, 31,31, 31,31, 30,30, 31,31, 30,30, 31,31};struct Date { int Year; int Month; int Day; void nextDay() { //计算下一天的日期 Day++; if (Day > dayOfMonth[Month][ISYEAR(Year)]) { Day = 1; Month++; if (Month > 12) { Year++; Month = 1; } } }};//每个月的名称char monthName[13][20] = { "", "January", "February", "March", "April", "May", "June", "July", "August", "September", "October", "November", "December"};//每天的名称char weekName[7][20] = { "Sunday", "Monday", "Tuesday", "Wednesday", "Thursday", "Friday", "Saturday"};int buf[3001][13][32];int main(){ Date date; int t = 0; date.Year = 0; date.Month = 1; date.Day = 1; while (date.Year != 3001) { buf[date.Year][date.Month][date.Day] = t; date.nextDay(); t++; } int d, m, y; char s[20]; while (scanf("%d%s%d", &d, s, &y) != EOF) { for (m = 1; m <= 12; m++) { if (strcmp(s, monthName[m])==0) {//将输入字符串与月名比较得出月数 break; } } int days = buf[y][m][d] - buf[2019][2][26]; days += 2; //今天是2019.02.26,星期二,故 days+2 puts(weekName[(days % 7 + 7) % 7]); //用7对其取模,并且保证其为非负数 } return 0;}
总结
1.善用 结构体 2. 判断闰年:#define ISYEAR(x) x%100!=0 && x%4==0 || x%400==0?1:0
3.循环nextDay()
,将日期转换成int
整型,把原区间问题统一到起点确定的区间问题上去。
int days = buf[y][m][d] - buf[2019][2][26]; days += 2; //今天是2019.02.26,星期二,故 days+2 puts(weekName[(days % 7 + 7) % 7]); //用7对其取模,并且保证其为非负数
关键代码! int days = buf[y][m][d] - buf[2019][2][26]
可能为负数;
days % 7 + 7) % 7
用7对其取模,保证其为非负数。 参考资料:计算机考研——机试指南[电子工业出版社]