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A12151. Grid Sort

编程题 普及/提高-

题目描述

The first line contains two integers $n$ and $m$ ( $3 \leq n,m \leq 20$ ) — the dimensions of the grid.

Each of the next $n$ lines contains $m$ integers $x_{i,1}, x_{i,2}, \ldots, x_{i, m}$ ( $1 \leq x_{i,j} \leq nm$ ), denoting the values of the block in row $i$ and column $j$ .

It is guaranteed that all $x_{i,j}$ are distinct.

输入格式

First, print a single integer $k$ , the number of operations ( $k \geq 0$ ).

On each of the next $k$ lines, print a cycle as follows:

$$$$s\ y_1\ y_2\ \ldots\ y_s $$ </p><p>Here, $s$ is the number of blocks to move ( $s \\geq 4$ ). Here we have block $y\_1$ moving to where block $y\_2$ is, block $y\_2$ moving to where block $y\_3$ is, and so on with block $y\_s$ moving to where block $y\_1$ is.</p><p>The sum of $s$ over all operations must be at most $10^5$$$.

输出格式

The first sample is the case in the statement. Here, we can use the cycle in reverse order to sort the grid.

输入输出样例

输入 #1
3 3
4 1 2
7 6 3
8 5 9
输出 #1
1
8 1 4 7 8 5 6 3 2
输入 #2
3 5
1 2 3 5 10
11 6 4 14 9
12 7 8 13 15
输出 #2
3
4 4 14 13 8
4 5 10 9 4
4 12 7 6 11

说明/提示

The first sample is the case in the statement. Here, we can use the cycle in reverse order to sort the grid.
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