Here is the first part of Pushing Numbers.
You need to make it so that all the numbers from 1 to 8 appear once in every row and column. You can only do that by "pushing" the columns down and the rows left. Each time you "push" a row or a column all the numbers in it move one block in the direction you have pushed it.
| | | | | 6 | | 4 | | 8 | | 6 | | 8 | | 7 | | | | |
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| | | | | 1 | | 3 | | 1 | | 2 | | 5 | | 6 | | | | |
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| | | | | 7 | | 4 | | 2 | | 8 | | 5 | | 4 | | 2 | | 2 |
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| | | | | 7 | | 5 | | 3 | | 7 | | 5 | | 3 | | 1 | | 3 |
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| | | | | 3 | | 8 | | 4 | | 7 | | 5 | | 6 | | 2 | | 1 |
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| | | | | 6 | | 3 | | 1 | | 6 | | 1 | | 4 | | 7 | | 8 |
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| | | | | 2 | | 5 | | 4 | | 3 | | 4 | | 5 | | 2 | | 1 |
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| | | | | 7 | | 2 | | 1 | | 3 | | 6 | | 4 | | 8 | | 7 |
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| 8 | | 6 | | | | | | | | | | | | | | | | |
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| 5 | | 8 | | | | | | | | | | | | | | | | |
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Can you do it?
I note that a certain amount of care must be taken here.
My reference is from the left.
In column 7 there are 4 5's; because of placement the 1st or 2nd one must occupy row 1.
Column 3 has 3 7's with nothing to the left but void. The 7 for row 6 is the last of the row; note that column 8 has a 7 at its head.
There are similar 'traps' here for which I do not currently have the time to explore.
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Posted by brianjn
on 2007-05-23 04:46:05 |
Where to start
