query: The maximum amount of checkers placed on an $m \times n$ checkerboard with no rectangles formed
positive_passages.docid: 144636
positive_passages.text: Placing checkers on an m x n board
negative_passages.docid: 68882
negative_passages.text: Path to Combinatorics Problem [$1.11$]
negative_passages.docid: 26343
negative_passages.text: Number of certain (0,1)-matrices, Stanley's Enumerative Combinatorics
negative_passages.docid: 72213
negative_passages.text: Can a $N-1$ rectifiable set be partitioned into countably many connected pieces?
negative_passages.docid: 103190
negative_passages.text: Algorithm to get the maximum size of n squares that fit into a rectangle with a given width and height
negative_passages.docid: 102136
negative_passages.text: How many subsets contain no consecutive elements?
negative_passages.docid: 52342
negative_passages.text: Partition rectangle into finite number of squares
negative_passages.docid: 82327
negative_passages.text: Tiling a $3 \times 2n$ rectangle with dominoes
negative_passages.docid: 152333
negative_passages.text: A problem based on pigeonhole
negative_passages.docid: 58508
negative_passages.text: Number of ways to pair off $2n$ points such that no chords intersect
negative_passages.docid: 36486
negative_passages.text: Finding the total number of set-bits from 1 to n
negative_passages.docid: 42945
negative_passages.text: Find the minimal number of guard points of polygon
negative_passages.docid: 62044
negative_passages.text: Game involving tiling a 1 by n board with 1 x 2 tiles?
negative_passages.docid: 128716
negative_passages.text: Intuitive/direct proof that a rectangle partitioned into rectangles each with at least one integer side must itself have an integer side
negative_passages.docid: 132921
negative_passages.text: Counting problem, number of moves
negative_passages.docid: 136848
negative_passages.text: Find the number of nonzero elements
negative_passages.docid: 97627
negative_passages.text: filling an occluded plane with the smallest number of rectangles