CF1438C.Engineer Artem

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

Artem is building a new robot. He has a matrix aa consisting of nn rows and mm columns. The cell located on the ii-th row from the top and the jj-th column from the left has a value ai,ja_{i,j} written in it.

If two adjacent cells contain the same value, the robot will break. A matrix is called good if no two adjacent cells contain the same value, where two cells are called adjacent if they share a side.

Artem wants to increment the values in some cells by one to make aa good.

More formally, find a good matrix bb that satisfies the following condition —

  • For all valid (i,ji,j), either bi,j=ai,jb_{i,j} = a_{i,j} or bi,j=ai,j+1b_{i,j} = a_{i,j}+1.

For the constraints of this problem, it can be shown that such a matrix bb always exists. If there are several such tables, you can output any of them. Please note that you do not have to minimize the number of increments.

阿尔捷姆正在制造一个新机器人。他有一个由 nn 行和 mm 列组成的矩阵 aa。位于从上往下第 ii 行、从左往右第 jj 列的单元格中写有数值 ai,ja_{i,j}。

如果两个相邻单元格包含相同的值,机器人就会损坏。若矩阵中不存在两个相邻单元格具有相同值,则称该矩阵为好矩阵;这里,若两个单元格共享一条边,则称它们为相邻。

阿尔捷姆希望通过对某些单元格的值加 11,使得矩阵 aa 变为一个好矩阵。

更准确地说,请找出一个好矩阵 bb,满足以下条件:

  • 对所有合法的 (i,j)(i,j),均有 bi,j=ai,jb_{i,j} = a_{i,j} 或 bi,j=ai,j+1b_{i,j} = a_{i,j}+1。

在本题的约束条件下,可以证明这样的矩阵 bb 总是存在的。若存在多个满足条件的矩阵,输出任意一个即可。请注意,你不必最小化加 11 的次数。

输入格式

Each test contains multiple test cases. The first line contains the number of test cases tt (1≤t≤101 \le t \le 10). Description of the test cases follows.

The first line of each test case contains two integers n,mn, m (1≤n≤1001 \le n \le 100, 1≤m≤1001 \le m \le 100) — the number of rows and columns, respectively.

The following nn lines each contain mm integers. The jj-th integer in the ii-th line is ai,ja_{i,j} (1≤ai,j≤1091 \leq a_{i,j} \leq 10^9).

每个测试包含多个测试用例。第一行包含测试用例的数量 tt(1≤t≤101 \le t \le 10)。随后是测试用例的描述。

每个测试用例的第一行包含两个整数 n,mn, m(1≤n≤1001 \le n \le 100,1≤m≤1001 \le m \le 100)—— 分别表示行数和列数。

接下来的 nn 行,每行包含 mm 个整数。第 ii 行中的第 jj 个整数为 ai,ja_{i,j}(1≤ai,j≤1091 \leq a_{i,j} \leq 10^9)。

输出格式

For each case, output nn lines each containing mm integers. The jj-th integer in the ii-th line is bi,jb_{i,j}.

对于每组测试数据,输出 nn 行,每行包含 mm 个整数。第 ii 行的第 jj 个整数为 bi,jb_{i,j}。

输入输出样例

  • 输入#1

    3
    3 2
    1 2
    4 5
    7 8
    2 2
    1 1
    3 3
    2 2
    1 3
    2 2

    输出#1

    1 2
    5 6
    7 8
    2 1
    4 3
    2 4
    3 2

说明/提示

In all the cases, you can verify that no two adjacent cells have the same value and that bb is the same as aa with some values incremented by one.

在所有情况下,您都可以验证:没有两个相邻的单元格具有相同的值,且 bb 与 aa 相同,只是其中某些值增加了 11。

输入解题思路,AI测评打分。不知道怎么写?

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