Odd Grid | |
Brain Warm-up |
Problem: | ||
Puzzle 1: Take a 4x4 grid of 0’s and replace ten of them with 1’s so that the sum of each row, column, and major diagonal* is an odd number. Puzzle 2: The same as puzzle 1 with the rows, columns, and major diagonals each summing to an even number. Bonus: Select your answers for puzzles 1 and 2 in such a way that the answer for Puzzle 1 can be changed to an answer for Puzzle 2 by moving the positions of just two of the 1’s. * by “Major Diagonal” I mean one that starts in one corner of the grid and ends in the opposite corner. There are two major diagonals. |
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Solvers: | ||
* = Solved just one of the puzzles. |
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Solution: | ||
Puzzle 1 has 96 answers (counting rotations) here is one of them. Puzzle 2 has 64 answers (again counting rotations). |
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