History of Magic
Answer: REMORSELESS
There is only one consistent true/false arrangement with at most 4 false clues. The true clues are:
- Each row and column has either one or two occupied squares.
- Every corner but the bottom-left one is occupied.
- Every occupied square is a knight's move away from another occupied square.
- No occupied square is horizontally or vertically adjacent to another occupied square.
- The third and sixth squares in the fourth column are occupied, while the sixth square in the second row and the first square in the fourth row are unoccupied.
- The third square in the second row is occupied if and only if the second square in the third row is occupied.
- The unoccupied squares are connected via horizontal and vertical adjacency.
- There are eleven occupied squares.
The false clues are:
- All four corners are occupied.
- At least one of the two diagonals is fully occupied.
- The occupied squares are connected via horizontal, vertical, and diagonal adjacency.
- The symmetry group of the arrangement of occupied squares is the cyclic group of order four.
This leads to a unique arrangement. Reading the letters in the occupied squares spells out the answer.
