Knight Attack

DM3: Knight Attack

Understand and count the knights' attacks before your opponent to win this fast-paced observation game!

🐴 In Knight Attack, players count different knight attacks(surprise!) before their opponent.

🧩 The game is divided into three variants, and within each variant, a best of five puzzles determines the variant's winner. If there is a tie, if it is the first or third tie, the DMO (Usernam3) wins the variant, and otherwise, the EC (Mithos) wins the variant. (Ex: If ties happen in both the second and the third variant but not the first, the second variant goes to the DMO, and the third variant goes to the EC.) The first player to win two variants wins the DM.

⏰ For each puzzle, I will post it and start a one minute timer. I will give 30 and 10 second warnings, along with a 5 second countdown. During that one minute, players may answer a nonnegative integer in the DM game room. If a player gets it wrong, I will say so. Each player only gets one guess, and if they get it right, they receive a point, and the next puzzle is started. If both players get the answers wrong, or a minute passes without either player getting the right answer, nobody gets the point.

💡 The three variants are the following:

Variant 1: There are some black and some white knights. Count the number of unordered pairs of opposite-colored knights that attack each other.

Variant 2: There are some white knights. Count the number of unoccupied cells that are attacked by one or more white knights.

Variant 3: There are some knights with movement abilities indicated in the same way as MM3. Count the number of ordered pairs of knights such that the first knight attacks the second. Movements will be expressed in hexadecimal, so a 10x10 knight would be A,A.

Examples of all three variants will be posted below:

This puzzle is of the first variant. There are 4 unordered pairs of opposite-colored knights that attack each other.

This puzzle is of the second variant. There are 14 empty spaces that are attacked by a knight.

This puzzle is of the third variant. There are 8 ordered pairs of knights such that the first attacks the second: four for an outside knight attacking the center, and four for the other way around.