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

Home > Numbers
Hidden Fruit (Posted on 2010-05-21) Difficulty: 2 of 5
Some cherries are hidden under the 6x6 grid shown below. The numbers on the grid specify how many cherries lie under the four orthogonally adjacent cells to each given number. There can be only one cherry (or none) in any given position of the grid, and remember the number shown does not count its own cherry, if any, nor the diagonally adjacent positions.

  
2 1 1 2 1 2
1 3 3 2 3 1
2 3 2 2 3 2
2 1 3 2 1 2
1 3 1 1 2 2
1 2 1 1 1 1

Where are the cherries?

See The Solution Submitted by Charlie    
Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 1 of 3

This puzzle is actually two smaller puzzles on top of each other.  The grid can be split by parity:

2 . 1 . 1 .  . 1 . 2 . 2
. 3 . 2 . 1  1 . 3 . 3 .
2 . 2 . 3 .  . 3 . 2 . 2
. 1 . 2 . 2  2 . 3 . 1 .
1 . 1 . 2 .  . 3 . 1 . 2
. 2 . 1 . 1  1 . 1 . 1 .

Then each half can be solved independently:

2 C 1 X 1 X  X 1 X 2 C 2
C 3 X 2 C 1  1 C 3 C 3 C
2 C 2 C 3 X  X 3 C 2 X 2
X 1 X 2 C 2  2 C 3 X 1 C
1 X 1 X 2 C  C 3 C 1 X 2
C 2 C 1 X 1  1 X 1 X 1 C

Combining the two halves gives a final answer of:

X C X X C X
C C X C C C
X C C C X X
X C X X C C
C X C X X C
C X C X X C

  Posted by Brian Smith on 2010-05-21 12:28:48
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information