Hint #1 - Cornering The Market
Generally, the most important squares on the 8x8 board are the corners. Corners can never be captured. Corners make capturing the rest of the borders much easier, and the borders account for 28 of the 64 squares (~44% of the board).
Hint #2 - Stamp Of Approval
For as helpful as corners are when captured, they're just as devastating when surrendered to an opponent. The best way to prevent that from happening is to avoid the "postage stamps" -- the 2x2 areas in each corner of the board -- whenever possible; specifically, the three spaces surrounding the corners. If there are no pieces in the spaces surrounding the corners, a piece cannot be placed in the corners. Try and wait for your opponent to make that mistake.
Hint #3 - The Line-Up
When working on the borders, try to keep your line of pieces hole-free. If you have two pieces placed and you leave a hole in between them, your opponent can potentially drop a piece in between and capture half of your line, potentially leading to them capturing a corner piece. On the other hand, if you can't connect your border pieces, try leaving two spaces in between. That way, if your opponent drops a piece in between, you can drop a piece in the other empty space, take theirs, and connect your line.
Hint #4 - All Your Eggs And Just One Basket
Be careful to not leave all of your pieces in a single line too far into the game. If you do, your opponent can potentially drop a single piece and wipe you off the board, even before the board is full.
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