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3544:Alice's Game

题目描述
Alice and Bob have got a lot of chocolates. All the chocolates are rectangles of different shapes as Xi * Yi.They decide to play an interesting game on the chocolates. They take turns choose a chocolate and split it into two pieces. The one who can not take operations lose. Due to the game is too simple, the additional rules apply. Alice is only allowed to split the chocolate vertically, and Bob is only allowed to split the chocolate horizontally.
Specifically, for Alice, a chocolate Xi * Yi, can only split into A * Yi, and B * Yi where A + B = Xi and A, B > 0. And for Bob, a chocolate Xi * Yi, can only split into Xi * A, and Xi * B where A + B = Yi and A, B > 0.
Alice and Bob are clever enough to take the optimal operation, if Alice plays first, your are to decide who will win.
输入解释
The input contains multiple test cases. The first line of input contains a single integer denoting the number of test cases.
For each test case, the first line contains an integer N, the number of pieces of chocolates. (1 <= N <= 100)
For the next N lines, each line contains two integers Xi and Yi, denoting the chocolate sized Xi * Yi. (1 <= Xi, Yi <= 1000000000)
输出解释
For each test cases, output "Alice" when Alice will win, and "Bob" otherwise. See sample test cases for further details.
输入样例
4
1
1 1
1
2 1
2
2 2
2 1
1
3 2
输出样例
Case 1: Bob
Case 2: Alice
Case 3: Alice
Case 4: Bob
来自杭电HDUOJ的附加信息
Author HyperHexagon
Recommend zhengfeng

该题目是Virtual Judge题目,来自 杭电HDUOJ

源链接: HDU-3544

最后修改于 2020-10-25T23:04:36+00:00 由爬虫自动更新

共提交 0

通过率 --%
时间上限 内存上限
2000/2000MS(Java/Others) 65535/32768K(Java/Others)