32. On a $10 \times 10$ board for playing "Battleship," a four-cell "ship" $\square \square$ ( $\square$ is located. What is the minimum number of "shots" needed to hit the ship? (Indicate the method of delivering this number of shots and prove that with fewer shots, the ship can always be placed in such a way that it will not be detected.)
32. Let's color the fields of the board as shown in Fig. 31 (instead of colors, we will write letters: k - red, s - blue, 3 - green, y - yellow). A direct count shows that the board has 24 yellow, 26 blue, 25 green, and 25 red fields. - It is clear that each four-cell ship occupies exactly one cell of each color. Therefore, by sequentially "shooting" at the yellow fields, we will hit a ship in no more than 24 "shots." Note that on a $10 \times 10$ board, 24 four-cell ships can be placed (we leave this task to the reader). From this, it follows that a number of shots less than 24 may not be sufficient.