All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Tile flipping (Posted on 2015-04-08) Difficulty: 3 of 5
A puzzle consists of a number of tiles, T, colored red on one side and blue on the other.

Start with all red side up. The goal is to get them all blue side up in the fewest number of rounds.
A round consists of flipping exactly N of them.

Find a rule for when the puzzle is impossible for given values of (T,N) with N≤T.

Find a rule for the number of rounds it will take when the puzzle is possible.

No Solution Yet Submitted by Jer    
Rating: 4.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsNo SubjectBrian Smith2016-11-15 10:49:44
re(2): N = 5; Hypothesis when N is oddSteve Herman2015-04-14 09:34:42
re: N = 5; Hypothesis when N is oddJer2015-04-13 06:51:55
Some ThoughtsN = 5; Hypothesis when N is oddSteve Herman2015-04-12 08:34:51
Some Thoughtsre: N = 3Dej Mar2015-04-11 05:24:04
Some ThoughtsN = 3Steve Herman2015-04-10 10:18:33
Hints/Tipsre(2): thoughtsSteve Herman2015-04-09 17:15:44
Hints/Tipsre: thoughtsAdy TZIDON2015-04-09 14:43:10
Some ThoughtsthoughtsDej Mar2015-04-09 11:14:32
re(2): Thoughts - a counterexample for youbroll2015-04-09 09:59:00
re: Thoughts - a counterexample for youJer2015-04-09 08:51:08
Some ThoughtsThoughtsbroll2015-04-09 00:55:35
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information