Arranging roses

Question

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?

Just to clarify, the rows cannot be collinear like the puzzle you posted in the link? — Shuri2060, Mar 29 '16 at 22:37
Yeah, someone should add that caveat. The original image already contains 10 unique rows of 4 roses each, leaving '0' as the correct answer. — Roland, Mar 30 '16 at 01:20

Fabich · Accepted Answer · 2016-03-29T23:31:33.103

9

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

edited Mar 29 '16 at 23:31

answered Mar 29 '16 at 23:17

Fabich

I have not been able to find a way to use less than 4. Good going! – Quiquȅ Mar 30 '16 at 02:11

score 0 · Answer 2 · edited Jun 17 '20 at 08:22

0

6.

As you can see, it is a (badly drawn) star, with 5 rows of 4 roses.

edited Jun 17 '20 at 08:22

Community

answered Mar 29 '16 at 22:59

bleh

2

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. – Gendarme Mar 29 '16 at 23:05