Codeforces Round 648 (Div. 2)
A
Matrix Game
Codeforces
1100
原题
←B →
翻译中…

Ashish and Vivek play a game on a matrix consisting of $n$ rows and $m$ columns, where they take turns claiming cells. Unclaimed cells are represented by $0$, while claimed cells are represented by $1$. The initial state of the matrix is given. There can be some claimed cells in the initial state.

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In each turn, a player must claim a cell. A cell may be claimed if it is unclaimed and does not share a row or column with any other already claimed cells. When a player is unable to make a move, he loses and the game ends.

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If Ashish and Vivek take turns to move and Ashish goes first, determine the winner of the game if both of them are playing optimally.

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Optimal play between two players means that both players choose the best possible strategy to achieve the best possible outcome for themselves.

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Input

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The first line consists of a single integer $t$ $(1 \le t \le 50)$ — the number of test cases. The description of the test cases follows.

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The first line of each test case consists of two space-separated integers $n$, $m$ $(1 \le n, m \le 50)$ — the number of rows and columns in the matrix.

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The following $n$ lines consist of $m$ integers each, the $j$-th integer on the $i$-th line denoting $a_{i,j}$ $(a_{i,j} \in \{0, 1\})$.

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Output

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For each test case if Ashish wins the game print "Ashish" otherwise print "Vivek" (without quotes).

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Note

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For the first case: One possible scenario could be: Ashish claims cell $(1, 1)$, Vivek then claims cell $(2, 2)$. Ashish can neither claim cell $(1, 2)$, nor cell $(2, 1)$ as cells $(1, 1)$ and $(2, 2)$ are already claimed. Thus Ashish loses. It can be shown that no matter what Ashish plays in this case, Vivek will win.

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For the second case: Ashish claims cell $(1, 1)$, the only cell that can be claimed in the first move. After that Vivek has no moves left.

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For the third case: Ashish cannot make a move, so Vivek wins.

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For the fourth case: If Ashish claims cell $(2, 3)$, Vivek will have no moves left.

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样例

Input #1
4
2 2
0 0
0 0
2 2
0 0
0 1
2 3
1 0 1
1 1 0
3 3
1 0 0
0 0 0
1 0 0
Output #1
Vivek
Ashish
Vivek
Ashish
InputCopy OutputCopy
题目信息
题号
1365A
时间限制
1 s
内存限制
256 MB
标签
博弈论
贪心
模拟

题面与样例版权归 Codeforces 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。