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Unfilled grid (Posted on 2006-05-23) Difficulty: 3 of 5
Fill as much of a 6x6 grid with the letters A, B, C, D, E, F so no two of the same letter are in the same row, column or diagonal.

It is impossible to entirely fill the grid, but what is the largest number of letters that may be placed?

  Submitted by Jer    
Rating: 4.1429 (7 votes)
Solution: (Hide)
32 letters can be placed as follows:

ABCDEF
DEAFBC
FC  DA
BD  CE
CAEBFD
EFDCAB
There were some solutions with 33 submitted that turned out not to work. I am confident this is the best possible.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionExplanation to Puzzle AnswerK Sengupta2022-07-16 00:04:27
Puzzle AnswerK Sengupta2022-07-15 02:57:00
answer/solutionnick barr2006-05-30 14:25:58
re: Possible solution.Charlie2006-05-23 23:57:51
Some ThoughtsPossible solution.Dej Mar2006-05-23 11:42:33
Solutionprogram finishedCharlie2006-05-23 10:24:14
Hints/Tipscomputer program still running, but so far...Charlie2006-05-23 09:41:16
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