Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

C. Homework

time limit per test

3 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputToday 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.

Input

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}.

Output

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.

Example

Input

3

3 3 4

3 3 5

3 3 3

Output

.*.

***

.*.

**.

**.

*..

.*.

***

*..

Codeforces (c) Copyright 2010-2018 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Jul/19/2018 12:54:40 (d3).

Desktop version, switch to mobile version.

User lists

Name |
---|