CF1738C.Even Number Addicts

普及/提高-

通过率:0%

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题目描述

Alice and Bob are playing a game on a sequence a1,a2,,ana_1, a_2, \dots, a_n of length nn . They move in turns and Alice moves first.

In the turn of each player, he or she should select an integer and remove it from the sequence. The game ends when there is no integer left in the sequence.

Alice wins if the sum of her selected integers is even; otherwise, Bob wins.

Your task is to determine who will win the game, if both players play optimally.

输入格式

Each test contains multiple test cases. The first line contains an integer tt ( 1t1001 \leq t \leq 100 ) — the number of test cases. The following lines contain the description of each test case.

The first line of each test case contains an integer nn ( 1n1001 \leq n \leq 100 ), indicating the length of the sequence.

The second line of each test case contains nn integers a1,a2,,ana_1, a_2, \dots, a_n ( 109ai109-10^9 \leq a_i \leq 10^9 ), indicating the elements of the sequence.

输出格式

For each test case, output "Alice" (without quotes) if Alice wins and "Bob" (without quotes) otherwise.

输入输出样例

  • 输入#1

    4
    3
    1 3 5
    4
    1 3 5 7
    4
    1 2 3 4
    4
    10 20 30 40

    输出#1

    Alice
    Alice
    Bob
    Alice

说明/提示

In the first and second test cases, Alice always selects two odd numbers, so the sum of her selected numbers is always even. Therefore, Alice always wins.

In the third test case, Bob has a winning strategy that he always selects a number with the same parity as Alice selects in her last turn. Therefore, Bob always wins.

In the fourth test case, Alice always selects two even numbers, so the sum of her selected numbers is always even. Therefore, Alice always wins.

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