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题意翻译

### 题目描述 今天Peter有一项额外的作业：老师给定三个字母 $n,m,k,$ 需要在一个 $n\times m$ 的网格当中标记一些方格。要求至少要标记一个方格，标记的所有方格必须形成一个联通块，且标记的方格中必须恰好包含 $k$ 个"L"形（即在一个2*2的方格中标记了3个方格所形成的图形）。 Peter不能完成这项作业，因此向你求助。请帮助他构造出这样的一个图形。 ### 输入格式 输入的数据包含一组或多组数据。第一行包含一个数字 $t\,(1\leq t\leq100)$ ，表示数据组数。 接下来的 $t$ 组数据中，每一组数据包含一行三个数字 $n,m,k\,(3\leq n,m,n\times m\leq 10^5,0\leq k \leq 10^9).$ 保证所有数据的 $n\times m$ 之和不超过 $10^5$ 。 ### 输出格式 每一组数据输出一个答案。 如果可以构造出一种方案，输出 $n$ 行，每行输出 $m$ 个字符，用``*``代表标记的方格，``.``代表未被标记的方格。 如果无解，输出 -1 。 每组数据输出之间空一行。

题目描述

Today Peter has got an additional homework for tomorrow. The teacher has given three integers to him: $ n $ , $ m $ and $ k $ , and asked him to mark one or more squares on a square grid of size $ n×m $ . The marked squares must form a connected figure, and there must be exactly $ k $ triples of marked squares that form an L-shaped tromino — all three squares are inside a $ 2×2 $ square. The set of squares forms a connected figure if it is possible to get from any square to any other one if you are allowed to move from a square to any adjacent by a common side square. Peter cannot fulfill the task, so he asks you for help. Help him to create such figure.

输入输出格式

输入格式

Input data contains one or more test cases. The first line contains the number of test cases $ t $ ( $ 1<=t<=100 $ ). Each of the following $ t $ test cases is described by a line that contains three integers: $ n $ , $ m $ and $ k $ ( $ 3<=n,m $ , $ n×m<=10^{5} $ , $ 0<=k<=10^{9} $ ). The sum of values of $ n×m $ for all tests in one input data doesn't exceed $ 10^{5} $ .

输出格式

For each test case print the answer. If it is possible to create such figure, print $ n $ lines, $ m $ characters each, use asterisk '\*' to denote the marked square, and dot '.' to denote the unmarked one. If there is no solution, print -1. Print empty line between test cases.

输入输出样例

输入样例 #1

3
3 3 4
3 3 5
3 3 3

输出样例 #1

.*.
***
.*.

**.
**.
*..

.*.
***
*..