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Sequence Fill In (Posted on 2004-01-13) Difficulty: 3 of 5
In this puzzle, each empty square needs to be filled in with a positive integer.
Each string of adjacent squares needs to form an arithmetic sequence.
A horizontal string of squares increases from left to right.
A vertical string of squares increases from top to bottom.
   +--+--+--+--+--+
   |  |  |  |13|  |
   +--+--+--+--+--+--+--+
   |  |XXXXXXXX|  |39|  |
   +--+XXXXXXXX+--+--+--+
   |  |XXXXXXXX|44|XX|  |
   +--+XXXXX+--+--+--+--+
   |31|XXXXX|  |  |  |  |
+--+--+--+--+--+--+--+--+
|  |  |  |  |  |XXXXX|  |
+--+--+--+--+--+XXXXX+--+
|35|XXXXXXXX|  |XXXXX|  |
+--+XXXXXXXX+--+--+--+--+
|  |XXXXXXXX|  |78|  |  |
+--+--+--+--+--+--+--+--+
|  |49|  |  |  |
+--+--+--+--+--+

This is an original problem.

  Submitted by Brian Smith    
Rating: 3.5000 (2 votes)
Solution: (Hide)
   +--+--+--+--+--+
   | 4| 7|10|13|16|
   +--+--+--+--+--+--+--+
   |13|XXXXXXXX|30|39|48|
   +--+XXXXXXXX+--+--+--+
   |22|XXXXXXXX|44|XX|56|
   +--+XXXXX+--+--+--+--+
   |31|XXXXX|55|58|61|64|
+--+--+--+--+--+--+--+--+
|33|40|47|54|61|XXXXX|72|
+--+--+--+--+--+XXXXX+--+
|35|XXXXXXXX|67|XXXXX|80|
+--+XXXXXXXX+--+--+--+--+
|37|XXXXXXXX|73|78|83|88|
+--+--+--+--+--+--+--+--+
|39|49|59|69|79|
+--+--+--+--+--+

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Not all sequences are incremental of a constantJayDeeKay2010-02-17 14:52:00
SolutionNot all sequences are incremental of a constantDej Mar2006-05-06 22:23:17
SolutionA solution without "excellence"Penny2004-01-13 17:35:09
Solutionsolution (spoiler)SilverKnight2004-01-13 13:39:48
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