Problems Description
<p> <span style="line-height:150%;font-family:宋体;">按照国际象棋的规则,皇后可以攻击与之处在同一行或同一列或同一斜线上的棋子。在</span><span style="line-height:150%;">n</span><span style="line-height:150%;font-family:宋体;">×</span><span style="line-height:150%;">n</span><span style="line-height:150%;font-family:宋体;">格的棋盘上,已经摆放好其它的一些棋子,皇后与皇后之间如果有棋子,就不能相互攻击,求出在</span><span style="line-height:150%;">n</span><span style="line-height:150%;font-family:宋体;">×</span><span style="line-height:150%;">n</span><span style="line-height:150%;font-family:宋体;">的棋盘上可以摆放最多的相互不能攻击的皇后数。</span> </p>
Input格式
<p> <span style="line-height:18px;font-family:宋体;">首先输入</span><span style="line-height:18px;">n</span><span style="line-height:18px;font-family:宋体;">(</span><span style="line-height:18px;">n<=4</span><span style="line-height:18px;font-family:宋体;">),然后输入</span><span style="line-height:18px;">n</span><span style="line-height:18px;font-family:宋体;">×</span><span style="line-height:18px;">n</span><span style="line-height:18px;font-family:宋体;">的棋盘,</span><span style="line-height:18px;">”X”</span><span style="line-height:18px;font-family:宋体;">表示已经摆放了的棋子,</span><span style="line-height:18px;">”.”</span><span style="line-height:18px;font-family:宋体;">表示棋盘空位。</span> </p>
Output格式
<p> <span style="font-family:宋体;line-height:150%;">输出最多能摆放的皇后数。</span> </p> <p class="MsoNormal" style="text-indent:21.0pt;"> <span style="line-height:150%;"></span> </p>
Sample
Sample Input 1
4
.X..
....
XX..
....
2
XX
.X
3
.X.
X.X
.X.
3
...
.XX
.XX
4
....
....
....
....
Sample Output 1
4
1
2
2
4
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