Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only 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

B. New Theatre Square

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou might have remembered Theatre square from the problem 1A. Now it's finally getting repaved.

The square still has a rectangular shape of $$$n \times m$$$ meters. However, the picture is about to get more complicated now. Let $$$a_{i,j}$$$ be the $$$j$$$-th square in the $$$i$$$-th row of the pavement.

You are given the picture of the squares:

- if $$$a_{i,j} = $$$ "*", then the $$$j$$$-th square in the $$$i$$$-th row should be black;
- if $$$a_{i,j} = $$$ ".", then the $$$j$$$-th square in the $$$i$$$-th row should be white.

The black squares are paved already. You have to pave the white squares. There are two options for pavement tiles:

- $$$1 \times 1$$$ tiles — each tile costs $$$x$$$ burles and covers exactly $$$1$$$ square;
- $$$1 \times 2$$$ tiles — each tile costs $$$y$$$ burles and covers exactly $$$2$$$ adjacent squares of the same row. Note that you are not allowed to rotate these tiles or cut them into $$$1 \times 1$$$ tiles.

You should cover all the white squares, no two tiles should overlap and no black squares should be covered by tiles.

What is the smallest total price of the tiles needed to cover all the white squares?

Input

The first line contains a single integer $$$t$$$ ($$$1 \le t \le 500$$$) — the number of testcases. Then the description of $$$t$$$ testcases follow.

The first line of each testcase contains four integers $$$n$$$, $$$m$$$, $$$x$$$ and $$$y$$$ ($$$1 \le n \le 100$$$; $$$1 \le m \le 1000$$$; $$$1 \le x, y \le 1000$$$) — the size of the Theatre square, the price of the $$$1 \times 1$$$ tile and the price of the $$$1 \times 2$$$ tile.

Each of the next $$$n$$$ lines contains $$$m$$$ characters. The $$$j$$$-th character in the $$$i$$$-th line is $$$a_{i,j}$$$. If $$$a_{i,j} = $$$ "*", then the $$$j$$$-th square in the $$$i$$$-th row should be black, and if $$$a_{i,j} = $$$ ".", then the $$$j$$$-th square in the $$$i$$$-th row should be white.

It's guaranteed that the sum of $$$n \times m$$$ over all testcases doesn't exceed $$$10^5$$$.

Output

For each testcase print a single integer — the smallest total price of the tiles needed to cover all the white squares in burles.

Example

Input

4 1 1 10 1 . 1 2 10 1 .. 2 1 10 1 . . 3 3 3 7 ..* *.. .*.

Output

10 1 20 18

Note

In the first testcase you are required to use a single $$$1 \times 1$$$ tile, even though $$$1 \times 2$$$ tile is cheaper. So the total price is $$$10$$$ burles.

In the second testcase you can either use two $$$1 \times 1$$$ tiles and spend $$$20$$$ burles or use a single $$$1 \times 2$$$ tile and spend $$$1$$$ burle. The second option is cheaper, thus the answer is $$$1$$$.

The third testcase shows that you can't rotate $$$1 \times 2$$$ tiles. You still have to use two $$$1 \times 1$$$ tiles for the total price of $$$20$$$.

In the fourth testcase the cheapest way is to use $$$1 \times 1$$$ tiles everywhere. The total cost is $$$6 \cdot 3 = 18$$$.

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Aug/03/2020 15:20:16 (i2).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|