HDU 6312 GAME
Game
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 393 Accepted Submission(s): 283
Problem Description
Alice and Bob are playing a game.
The game is played on a set of positive integers from 1 to n.
In one step, the player can choose a positive integer from the set, and erase all of its divisors from the set. If a divisor doesn't exist it will be ignored.
Alice and Bob choose in turn, the one who cannot choose (current set is empty) loses.
Alice goes first, she wanna know whether she can win. Please judge by outputing 'Yes' or 'No'.
The game is played on a set of positive integers from 1 to n.
In one step, the player can choose a positive integer from the set, and erase all of its divisors from the set. If a divisor doesn't exist it will be ignored.
Alice and Bob choose in turn, the one who cannot choose (current set is empty) loses.
Alice goes first, she wanna know whether she can win. Please judge by outputing 'Yes' or 'No'.
Input
There might be multiple test cases, no more than 10. You need to read till the end of input.
For each test case, a line containing an integer n. (1≤n≤500)
For each test case, a line containing an integer n. (1≤n≤500)
Output
A line for each test case, 'Yes' or 'No'.
Sample Input
1
Sample Output
Yes
Source
Recommend
【思路】:
其实这个就是个水题
选择肯定存在一胜一负,
假设按照这个选择,对方胜利,那么如果能在不影响局势的情况下,将对方跟己方的策略相反过来,
是存在这样的操作的,取1,可以不影响局势,然后还能交换一次次序,所以存在必胜操作。
故答案都为yes。
#include<cstdio> int main() { int n; while(~scanf("%d",&n)) { printf("Yes\n"); } return 0; }
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