| After decades of shadowy demonstrations and delays from the game’s maker, |
| Chess 2 has finally been released. You waited in line all night to be one of |
| the first to purchase an example of the hot sequel to the classic original, |
| and now you are finally getting a chance to open up your new investment and |
| take a look inside. What you find is slightly puzzling; in addition to the |
| traditional pieces, the game has been expanded to contain a number of pieces |
| that are not actually original. |
| |
| The best-known piece that has been added to the game is the nightrider. The |
| nightrider can make any number of knight moves in a single direction, i.e., |
| its offset from its initial position will be 2***m** in one dimension and |
| **m** in the other for some nonzero integer **m**. Like other "sliding" |
| pieces, if one of the knight moves would cause it to take another piece it is |
| not able to traverse beyond that point |
| |
| The archbishop is also part of Chess 2. The archbishop can simply make any |
| move that a knight or bishop could legally make. |
| |
| The strangest new piece is the kraken. The kraken can move to any square on |
| the board, regardless of the position of any other pieces, including its own |
| current position. |
| |
| You don't feel like reading the manual to learn about how the new pieces fit |
| into the standard chess opening positions, so instead you place some of the |
| pieces randomly on the board. The game you’ve decided to play is simply to |
| count how many pieces on the board are currently being threatened. A piece is |
| threatened if another piece is able to move into its cell and take it (note |
| that if the kraken moves into its own cell it does not take itself). |
| |
|
|
| ## Input |
|
|
| Your input file will consist of a single integer **N** followed by **N** test |
| cases. Each case will consist of, all separated by whitespace, an integer |
| **P** followed by the identities and positions of **P** Chess 2 pieces. Pieces |
| are described by a single character **C** to denote their type (see |
| specification below) followed by two integers **R** and **F**, the 1-based |
| rank and file, respectively, of the piece. |
| |
| You've decided to ignore the colors of the pieces in this game. The color of |
| the pieces will not be reflected in the input and so cannot affect your |
| output. |
| |
| To make room for the new pieces, the Chess 2 board is a 16 by 16 grid. No |
| specified pieces will fall outside the board, and no two pieces will occupy |
| the same position. |
| The types of pieces will be specified as follows, and no entries not present |
| in this table will appear on the board: |
|
|
| Piece |
|
|
| Abbreviation |
|
|
| King |
|
|
| K |
|
|
| Queen |
|
|
| Q |
|
|
| Rook |
|
|
| R |
|
|
| Bishop |
|
|
| B |
|
|
| Knight |
|
|
| N |
|
|
| Nightrider |
|
|
| S |
|
|
| Archbishop |
|
|
| A |
|
|
| Kraken |
|
|
| E |
|
|
| |
| |
|
|
| ## Output |
|
|
| Output a single integer, the number of threatened pieces on the board, for |
| each test case separated by whitespace. |
| |
|
|
| ## Constraints |
|
|
| **N** = 20 |
| 3 ≤ **P** ≤ 64 |
| 1 ≤ **R, F** ≤ 16 |
| **C** will be one of {K, Q, R, B, N, S, A, E} |
|
|
|
|
