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Al is the proprietor of Al's Awesome and Amazing Amusement Arcade, called |
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AAAAAA by some, AAaAAA by others, AAAAA by others still, and alternately A5 or |
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A6 by math majors. |
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The problem with operating such a spectacular business is managing the line of |
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people waiting to get in. City by-laws prevent people from loitering on Al's |
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property, so anybody who wants to experience the wonders Al has in store has |
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to queue in the parking lot. Not wanting to turn people away, Al is interested |
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in cramming as many hapless souls into the parking lot as he can. However, |
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customers are a whiny bunch, and refuse to stand in any queue that makes too |
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many detours before getting to the entrance. |
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You can imagine that the parking lot is a grid, with the Arcade's entrance in |
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the upper-left corner. All queues must begin here. There may be cars in the |
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parking lot, denoted '#'. Customers refuse to queue on top of cars. All other |
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cells will contain '.'. Due to customer complaints, all queues must generally |
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extend only rightwards and downwards. However, Al's clientele is not entirely |
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unreasonable, so a queue may have a single contiguous section that runs |
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upwards, or a single contiguous section that runs leftwards, but not both. |
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Queues only extend in these four directions (i.e., not diagonally). |
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There is only room for one customer in each empty space. Each pair of |
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consecutive customers in the queue must stand in adjacent spaces, i.e. there |
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can't be any gaps in the queue. |
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### Input |
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The first line of the input consists of a single integer **T**, the number of |
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test cases. |
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Each test case begins with a line containing two integers, **N** and **M**, |
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the number of rows and columns in the lot's grid. |
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The next **N** lines each contain a string with exactly **M** characters, |
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where the **i**th line correspond to the **i**th row in the grid. |
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### Output |
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For each test case **i** numbered from 1 to **T**, output "Case #**i**: ", |
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followed by the size of the largest queue starting in the top left corner that |
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Al can fit into his parking lot. |
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### Constraints |
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1 ≤ **T** ≤ 20 |
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1 ≤ **N**, **M** ≤ 500 |
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Each character in the grid will be either '.' or '#'. |
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The character in the upper left corner will always be '.' |
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