Moving Chips solution codeforces

Moving Chips solution codeforces

You are given a board of size 2×𝑛2×n (22 rows, 𝑛n columns). Some cells of the board contain chips. The chip is represented as ‘*‘, and an empty space is represented as ‘.. It is guaranteed that there is at least one chip on the board.

Moving Chips solution codeforces

In one move, you can choose any chip and move it to any adjacent (by side) cell of the board (if this cell is inside the board). It means that if the chip is in the first row, you can move it left, right or down (but it shouldn’t leave the board). Same, if the chip is in the second row, you can move it left, right or up.

If the chip moves to the cell with another chip, the chip in the destination cell disappears (i. e. our chip captures it).

Your task is to calculate the minimum number of moves required to leave exactly one chip on the board.

You have to answer 𝑡t independent test cases.

Moving Chips solution codeforces

The first line of the input contains one integer 𝑡t (1𝑡21041≤t≤2⋅104) — the number of test cases. Then 𝑡t test cases follow.

The first line of the test case contains one integer 𝑛n (1𝑛21051≤n≤2⋅105) — the length of the board. The second line of the test case contains the string 𝑠1s1 consisting of 𝑛n characters ‘*‘ (chip) and/or ‘.‘ (empty cell). The third line of the test case contains the string 𝑠2s2 consisting of 𝑛n characters ‘*‘ (chip) and/or ‘.‘ (empty cell).

Additional constraints on the input:

  • in each test case, there is at least one chip on a board;
  • the sum of 𝑛n over all test cases does not exceed 21052⋅105 (𝑛2105∑n≤2⋅105).
Output

For each test case, print one integer — the minimum number of moves required to leave exactly one chip on the board.

Moving Chips solution codeforces

Example
input 

Copy
5
1
*
.
2
.*
**
3
*.*
.*.
4
**.*
**..
5
**...
...**
output 

Copy
0
2
3
5
5

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