Ten roses are arranged in two rows of five flowers each:
What is the minimum number of roses that need to be moved to arrange the flowers into five rows of four roses each?
Similar puzzle: Plant 9 trees in 10 rows of 3
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$\begingroup$ Just to clarify, the rows cannot be collinear like the puzzle you posted in the link? $\endgroup$– Shuri2060Commented Mar 29, 2016 at 22:37
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$\begingroup$ Yeah, someone should add that caveat. The original image already contains 10 unique rows of 4 roses each, leaving '0' as the correct answer. $\endgroup$– RolandCommented Mar 30, 2016 at 1:20
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2 Answers
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I can solve it by moving only
4 roses (I don't think we can do better)
My drawing :
in green the original roses, in red the new ones
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$\begingroup$ I have not been able to find a way to use less than 4. Good going! $\endgroup$– QuiquȅCommented Mar 30, 2016 at 2:11
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6.
As you can see, it is a (badly drawn) star, with 5 rows of 4 roses.
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2$\begingroup$ Why would you need to move 10 roses if there are 10? Surely one of them can stay put. And in your drawing 4 of them have actually not moved. $\endgroup$– GendarmeCommented Mar 29, 2016 at 23:05