perplexus.info :: Logic : Pushing numbers

Pushing numbers (Posted on 2007-02-12)

You need to make it so that all the numbers from 1 to 6 appear once in every row and column. You can only do that by "pushing" the rows down and the columns left. Each time you "push" a row or a column all the numbers in it move 1 block to the direction you have pushed it.

	1	3	6	2	5

	4	6	4	1	5	1

	3	2	5	2	6	3

	5	2	6	1	4	4

	4	6	3	4	3	2

	1	5	2	6	5	1

3

Can you complete the grid?

Submitted by Assaf

Rating: 4.2857 (7 votes)

Solution: (Hide)

The positions after each move are:

1 3 6 2 5 4 6 4 1 5 1 3 2 5 2 6 3 5 2 6 1 4 4 4 6 3 4 3 2 1 5 2 6 5 1 3

1 3 6 5 4 6 4 1 2 1 3 2 5 5 6 3 5 2 6 2 4 4 4 6 3 1 3 2 1 5 2 4 5 1 3 6

1 3 6 5 4 6 4 1 2 1 3 2 5 5 6 3 5 2 6 2 4 4 4 6 3 1 3 2 1 5 2 4 5 1 3 6

1 3 5 4 6 4 6 2 1 3 2 1 5 6 3 5 2 5 2 4 4 4 6 6 1 3 2 1 5 2 3 5 1 3 4 6

1 3 5 4 6 4 6 2 1 3 2 1 5 6 3 5 2 5 2 4 4 4 6 6 1 3 2 1 5 2 3 5 1 3 4 6

3 5 4 1 4 6 2 1 6 2 1 5 6 3 5 3 5 2 4 4 2 6 6 1 3 2 1 4 2 3 5 1 3 5 4 6

3 5 4 1 4 6 2 1 6 2 1 5 6 3 5 3 5 2 4 4 2 6 6 1 3 2 1 4 2 3 5 1 3 5 4 6

3 4 1 4 6 2 5 6 2 1 5 1 3 5 3 5 2 4 6 2 6 6 1 3 4 1 4 2 3 5 2 3 5 4 6 1

3 4 1 4 6 2 5 6 2 1 5 1 3 5 3 5 2 4 6 2 6 6 1 3 4 1 4 2 3 5 2 3 5 4 6 1

4 1 3 6 2 5 6 2 4 5 1 3 5 3 1 2 4 6 2 6 5 1 3 4 1 4 6 3 5 2 3 5 2 4 6 1

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: computer solution	Assaf	2007-02-28 08:11:26
Summary Solution (Non-computer)	Gamer	2007-02-12 16:23:18
How many cases?	e.g.	2007-02-12 14:25:13
computer solution	Charlie	2007-02-12 11:01:51

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