閏日閏年問題 大年份計算

1414 - February 29
Time Limit: 1 second(s) Memory Limit: 32 MB

It is 2012, and it's a leap year. So there is a "February 29" in this year, which is called leap day. Interesting thing is the infant who will born in this February 29, will get his/her birthday again in 2016, which is another leap year. So February 29 only exists in leap years. Does leap year comes in every 4 years? Years that are divisible by 4 are leap years, but years that are divisible by 100 are not leap years, unless they are divisible by 400 in which case they are leap years.

In this problem, you will be given two different date. You have to find the number of leap days in between them.

Input

Input starts with an integer T (≤ 550), denoting the number of test cases.

Each of the test cases will have two lines. First line represents the first date and second line represents the second date. Note that, the second date will not represent a date which arrives earlier than the first date. The dates will be in this format - "month day, year", See sample input for exact format. You are guaranteed that dates will be valid and the year will be in between 2 * 103 to 2 * 109. For your convenience, the month list and the number of days per months are given below. You can assume that all the given dates will be a valid date.

Output

For each case, print the case number and the number of leap days in between two given dates (inclusive).

Sample Input

Output for Sample Input

4

January 12, 2012

March 19, 2012

August 12, 2899

August 12, 2901

August 12, 2000

August 12, 2005

February 29, 2004

February 29, 2012

Case 1: 1

Case 2: 0

Case 3: 1

Case 4: 3

Note

The names of the months are {"January", "February", "March", "April", "May", "June", "July", "August", "September", "October", "November" and "December"}. And the numbers of days for the months are {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30 and 31} respectively in a non-leap year. In a leap year, number of days for February is 29 days; others are same as shown in previous line.


PROBLEM SETTER: MD. ARIFUZZAMAN ARIF
SPECIAL THANKS: JANE ALAM JAN

解題思路:
計算兩個年份間閏年的個數,可以先計算兩個年份分別到公元0年之間的閏年個數,然後相減,就可以得到這兩個年份間的閏年個數。比如說,計算x到y之間的閏年個數,就可以先計算到公元0年的閏年個數,y/4-y/100+y/400, (x-1)/4-(x-1)/100+(X-1)/400;
然後兩者相減,即可得到結果。
代碼如下:
#include <iostream>
#include <string>
#include <cstdio>
#include <fstream>
using namespace std;
int count(int x,int y)
{
   int n = y/4-y/100+y/400-((x-1)/4-(x-1)/100+(x-1)/400);
   return n;

}
int main()
{
    freopen("in.txt","r",stdin);
    string mon[12]={"January", "February", "March", "April", "May", "June", "July", "August", "September", "October", "November", "December"};
    int T,t=0;
    int x,y,y1,y2,a1,a2;
    char str1[100],str2[100];
    scanf("%d",&T);
    while(T--)
    {
        getchar();
        scanf("%s%d, %d",str1,&a1,&y1);
        scanf("%s%d, %d",str2,&a2,&y2);
        int i,j;
        for(i=0;i<12;i++)//判斷月份
            if(mon[i]==str1)
                break;
        for(j=0;j<12;j++)
            if(mon[j]==str2)
                break;
        if(i+1>2)//如果開始時間大於2月29日,則直接將x設爲開始時間的下一年
            x=y1+1;
        else
            x=y1;
        if(j+1>2)//如果結束時間小於2月29日,則直接將y設爲結束時間的前一年
            y=y2;
        else if(j==1&&a2==29)
            y=y2;
        else
            y=y2-1;
        int ans=count(x,y);
        printf("Case %d: %d\n",++t,ans);
    }

}


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