题目描述

由数字0组成的方阵中，有一任意形状闭合圈，闭合圈由数字1构成，围圈时只走上下左右4个方向。现要求把闭合圈内的所有空间都填写成2.例如：6×6 的方阵（n=6），涂色前和涂色后的方阵如下： 涂色前 涂色后 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1 2 2 1 1 1 0 0 0 1 1 1 2 2 2 1 1 0 0 0 0 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1

输入格式

每组测试数据第一行一个整数n(1≤n≤30)，接下来n行，由0和1组成的n×n 的方阵。方阵内只有一个闭合圈，圈内至少有一个0。

输出格式

已经填好数字2的完整方阵。

样例

输入样例 1

6
0 0 0 0 0 0
0 0 1 1 1 1
0 1 1 0 0 1
1 1 0 0 0 1
1 0 0 0 0 1
1 1 1 1 1 1

输出样例 1

0 0 0 0 0 0
0 0 1 1 1 1
0 1 1 2 2 1
1 1 2 2 2 1
1 2 2 2 2 1
1 1 1 1 1 1

输入样例 2

20
0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0
0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0
0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0
0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0
0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0
0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0
1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0
1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1
0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1
0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0
0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 1 1
0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1
0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 1 1
0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0

输出样例 2

0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0
0 0 0 0 1 2 1 0 0 0 0 1 2 1 0 0 0 0 0 0
0 0 0 0 1 2 1 0 0 0 0 1 2 1 0 0 0 0 0 0
0 0 0 0 1 2 1 0 0 0 0 1 2 1 0 0 0 0 0 0
0 0 0 0 1 2 1 0 0 0 0 1 2 1 0 0 0 0 0 0
0 0 0 0 1 2 1 0 0 0 0 1 2 1 0 0 0 0 0 0
1 1 1 1 1 2 1 1 1 1 1 1 2 1 0 0 0 0 0 0
1 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0
1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1
0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 1
0 0 0 0 0 0 0 0 1 2 1 1 1 1 2 2 2 1 1 1
0 0 0 0 0 0 0 0 1 2 1 0 0 1 2 1 1 1 0 0
0 0 0 0 0 0 0 0 1 2 1 0 0 1 2 1 0 0 0 0
0 0 0 0 0 0 0 0 1 2 1 0 0 1 2 1 0 0 0 0
0 0 0 0 0 0 0 0 1 2 1 0 0 1 2 1 1 1 1 1
0 0 0 0 0 0 0 0 1 2 1 0 0 1 2 2 2 2 2 1
0 0 0 0 0 0 0 0 1 2 1 0 0 1 2 1 1 1 1 1
0 0 0 0 0 0 0 0 1 2 1 0 0 1 2 1 0 0 0 0
0 0 0 0 0 0 0 0 1 2 1 0 0 1 2 1 0 0 0 0
0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0

输入样例 3

30
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

输出样例 3

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1