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 Hidden Fruit (Posted on 2010-05-21)
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)

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 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 2C 3 X 2 C 1  1 C 3 C 3 C2 C 2 C 3 X  X 3 C 2 X 2X 1 X 2 C 2  2 C 3 X 1 C1 X 1 X 2 C  C 3 C 1 X 2C 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 XC C X C C CX C C C X XX C X X C CC X C X X CC X C X X C`

 Posted by Brian Smith on 2010-05-21 12:28:48

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