HDU 1079 Calendar Game（简单博弈）

Calendar Game

Time Limit: 5000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 3936    Accepted Submission(s): 2375

Problem Description

Adam and Eve enter this year’s ACM International Collegiate Programming Contest. Last night, they played the Calendar Game, in celebration of this contest. This game consists of the dates from January 1, 1900 to November 4, 2001, the contest day. The game starts by randomly choosing a date from this interval. Then, the players, Adam and Eve, make moves in their turn with Adam moving first: Adam, Eve, Adam, Eve, etc. There is only one rule for moves and it is simple: from a current date, a player in his/her turn can move either to the next calendar date or the same day of the next month. When the next month does not have the same day, the player moves only to the next calendar date. For example, from December 19, 1924, you can move either to December 20, 1924, the next calendar date, or January 19, 1925, the same day of the next month. From January 31 2001, however, you can move only to February 1, 2001, because February 31, 2001 is invalid. 

A player wins the game when he/she exactly reaches the date of November 4, 2001. If a player moves to a date after November 4, 2001, he/she looses the game. 

Write a program that decides whether, given an initial date, Adam, the first mover, has a winning strategy. 

For this game, you need to identify leap years, where February has 29 days. In the Gregorian calendar, leap years occur in years exactly divisible by four. So, 1993, 1994, and 1995 are not leap years, while 1992 and 1996 are leap years. Additionally, the years ending with 00 are leap years only if they are divisible by 400. So, 1700, 1800, 1900, 2100, and 2200 are not leap years, while 1600, 2000, and 2400 are leap years.

 

Input

The input consists of T test cases. The number of test cases (T) is given in the first line of the input. Each test case is written in a line and corresponds to an initial date. The three integers in a line, YYYY MM DD, represent the date of the DD-th day of MM-th month in the year of YYYY. Remember that initial dates are randomly chosen from the interval between January 1, 1900 and November 4, 2001. 

 

Output

Print exactly one line for each test case. The line should contain the answer "YES" or "NO" to the question of whether Adam has a winning strategy against Eve. Since we have T test cases, your program should output totally T lines of "YES" or "NO". 

 

Sample Input

3 2001 11 3 2001 11 2 2001 10 3 

 

Sample Output

YES NO NO 

 

Source

Asia 2001, Taejon (South Korea)

题意大体就是给你一个日期，两个人走，你走一次我走一次，每个人延续上的人的最后位置，谁先走到2001年11月4日谁胜，典型的简答博弈问题，这个题推起来挺麻烦的，需要走12个多月，小编在别人帮助下才推出来。

以在该日期轮到亚当走来推。

特殊的时间有两个，一个是11月30日，一个是9月30日，其他的普遍规律是月份值和日期值加起来和为偶数的话，就是必胜点，否者必败点（假设两个玩家都是顶级玩家）

下面是可以ac的代码：

#include <stdio.h>int main(){int t,y,m,d;scanf("%d",&t);while(t--){scanf("%d%d%d",&y,&m,&d);if((m==9&&d==30)||(m==11&&d==30)){printf("YES\n");}else{if((m+d)%2==0){printf("YES\n");}else{printf("NO\n");}}}return 0;}