AT_abc458_b.Count Adjacent Cells

There is a grid with $H$ rows and $W$ columns. The cell at the $i$-th row from the top and the $j$-th column from the left is denoted as cell $(i, j)$.

Cells $(x_1, y_1)$ and $(x_2, y_2)$ are said to be edge-adjacent when $|x_1 - x_2| + |y_1 - y_2| = 1$.

For every cell, find the number of cells that are edge-adjacent to it.

有一个 $H$ 行 $W$ 列的网格。从上往下数第 $i$ 行、从左往右数第 $j$ 列的单元格记为单元格 $(i, j)$。

当 $|x_1 - x_2| + |y_1 - y_2| = 1$ 时，称单元格 $(x_1, y_1)$ 与 $(x_2, y_2)$ 边相邻。

对每个单元格，求出与其边相邻的单元格的数量。

The input is given from Standard Input in the following format:

$H$ $W$

输入从标准输入中按以下格式给出：

$H$ $W$

Output the answer in the following format:

$x_{1,1}$ $x_{1,2}$ $\cdots$ $x_{1,W}$
$x_{2,1}$ $x_{2,2}$ $\cdots$ $x_{2,W}$
$\vdots$
$x_{H,1}$ $x_{H,2}$ $\cdots$ $x_{H,W}$

Here, $x_{i,j}$ represents the number of cells that are edge-adjacent to cell $(i, j)$.

按以下格式输出答案：

$x_{1,1}$ $x_{1,2}$ $\cdots$ $x_{1,W}$
$x_{2,1}$ $x_{2,2}$ $\cdots$ $x_{2,W}$
$\vdots$
$x_{H,1}$ $x_{H,2}$ $\cdots$ $x_{H,W}$

其中，$x_{i,j}$ 表示与单元格 $(i, j)$ 边相邻的单元格数量。

Sample 1 Explanation:
The cells edge-adjacent to cell $(1, 5)$ are cells $(1, 4), (2, 5)$, for a total of two cells.

The cells edge-adjacent to cell $(2, 3)$ are cells $(1, 3), (2, 2), (2, 4), (3, 3)$, for a total of four cells.

The cells edge-adjacent to cell $(4, 2)$ are cells $(3, 2), (4, 1), (4, 3)$, for a total of three cells.

Sample 2 Explanation:
There are no cells edge-adjacent to cell $(1, 1)$.

Constraints

• $1 \leq H, W \leq 50$
• All input values are integers.

样例 1 解释：
与格子 $(1, 5)$ 边相邻的格子为 $(1, 4)$ 和 $(2, 5)$，共两个格子。

与格子 $(2, 3)$ 边相邻的格子为 $(1, 3)$、$(2, 2)$、$(2, 4)$ 和 $(3, 3)$，共四个格子。

与格子 $(4, 2)$ 边相邻的格子为 $(3, 2)$、$(4, 1)$ 和 $(4, 3)$，共三个格子。

样例 2 解释：
格子 $(1, 1)$ 没有边相邻的格子。

约束条件

• $1 \leq H, W \leq 50$
• 所有输入值均为整数。