CF120E.Put Knight!

普及/提高-

通过率:0%

时间限制:1.00s

内存限制:256MB

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题目描述

Petya and Gena play a very interesting game "Put a Knight!" on a chessboard n × n in size. In this game they take turns to put chess pieces called "knights" on the board so that no two knights could threat each other. A knight located in square (r, c) can threat squares (r - 1, c + 2), (r - 1, c - 2), (r + 1, c + 2), (r + 1, c - 2), (r - 2, c + 1), (r - 2, c - 1), (r + 2, c + 1) and (r + 2, c - 1) (some of the squares may be located outside the chessboard). The player who can't put a new knight during his move loses. Determine which player wins considering that both players play optimally well and Petya starts.

佩佳和杰纳在一块 n×nn \times n 的棋盘上玩一个非常有趣的游戏——“放置骑士!”。在该游戏中,他们轮流在棋盘上放置名为“骑士”的棋子,要求任意两个骑士彼此不能攻击。位于格子 (r,c)(r, c) 的骑士可以攻击以下格子:(r−1,c+2)(r-1, c+2)、(r−1,c−2)(r-1, c-2)、(r+1,c+2)(r+1, c+2)、(r+1,c−2)(r+1, c-2)、(r−2,c+1)(r-2, c+1)、(r−2,c−1)(r-2, c-1)、(r+2,c+1)(r+2, c+1) 和 (r+2,c−1)(r+2, c-1)(其中某些格子可能位于棋盘之外)。无法在自己的回合放置新骑士的玩家判负。假设双方均以最优策略进行游戏,且佩佳先行,请判断哪位玩家获胜。

输入格式

The first line contains integer T (1 ≤ T ≤ 100) — the number of boards, for which you should determine the winning player. Next T lines contain T integers n__i (1 ≤ n__i ≤ 10000) — the sizes of the chessboards.

第一行包含一个整数 TT(1≤T≤1001 \leq T \leq 100)—— 表示需要判断获胜玩家的棋盘数量。接下来的 TT 行每行包含一个整数 nin_i(1≤ni≤100001 \leq n_i \leq 10000)—— 表示第 ii 个棋盘的尺寸。

输出格式

For each n__i × n__i board print on a single line "0" if Petya wins considering both players play optimally well. Otherwise, print "1".

对于每个 ni×nin_i \times n_i 棋盘,如果双方都以最优策略进行游戏时 Petya 获胜,则在单独一行输出 “0”;否则输出 “1”。

输入输出样例

  • 输入#1

    2
    2
    1

    输出#1

    1
    0

输入解题思路,AI测评打分。不知道怎么写?

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