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Diamond Mine (Posted on 2007-06-28) Difficulty: 3 of 5
Each digit in the grid indicates the number of diamonds in its adjacent cells. No diamond is horizontally or vertically adjacent to another diamond, nor can any diamond occupy a numbered cell. Can you find all the diamonds? Two have been added to get you started.

K

L

M

N

O

P

Q

R

S

T

A

2

1

2

1

B

2

2

1

C

2

1

1

3

D

1

2

2

E

2

2

1

2

F

1

2

1

2

1

2

G

3

2

H

2

2

3

I

2

3

2

2

2

J

1

1

Acknowledgement to Oscar A Nawa, whose helpful suggestions for making my original puzzle more challenging have been incorporated.

  Submitted by Josie Faulkner    
Rating: 4.4286 (7 votes)
Solution: (Hide)
 +---+---+---+---+---+---+---+---+---+---+
 | 2 | * | 1 |   | * | 2 | * |   | 1 |   |
 +---+---+---+---+---+---+---+---+---+---+
 | * |   |   | 2 |   |   | 2 |   | * | 1 |
 +---+---+---+---+---+---+---+---+---+---+
 |   | 2 |   | 1 | * | 1 |   | * | 3 |   |
 +---+---+---+---+---+---+---+---+---+---+
 | 1 | * |   | 2 |   |   |   | 2 | * |   |
 +---+---+---+---+---+---+---+---+---+---+
 |   | 2 |   | * | 2 | 1 |   |   | 2 | * |
 +---+---+---+---+---+---+---+---+---+---+
 | 1 | * | 2 | 1 |   | * | 2 | 1 | 2 |   |
 +---+---+---+---+---+---+---+---+---+---+
 |   |   |   |   |   | 3 | * |   | 2 | * |
 +---+---+---+---+---+---+---+---+---+---+
 |   | 2 | * | 2 | * |   |   | 3 | * |   |
 +---+---+---+---+---+---+---+---+---+---+
 | * | 2 |   | 3 |   | 2 | * | 2 |   | 2 |
 +---+---+---+---+---+---+---+---+---+---+
 | 1 |   | 1 | * |   |   |   |   |   | * |
 +---+---+---+---+---+---+---+---+---+---+
The diamonds in DS and GT indicate blanks in DT, FT and HT.

As there is already a diamond in DS, there must be another one in either ER or ET (to satisfy the 2 in ES).

The 2 in FS has an adjacent diamond in GT and because the other one is in either ER or ET, then GR must be blank. This means that HS must feature a diamond (because of the 2 in GS)and IS must be blank.

The 3 in HR means that GQ and IQ must feature diamonds and HQ and JQ must be blank. As the 2 in IR now has two adjacent diamonds, JR and JS must be blank and JT must bear a diamond (because of the 2 in IT).Since there is a diamond in GQ, EQ and ER must be blank and ET must have a diamond to satisfy the 2 in ES.

The 2 in FQ now indicates a diamond in FP, which make FO, DO, DP and DQ blank. The 2 in EO now indicates a diamond in EN, whick make EM, GM, GN and GO blank.

The 3 in GP means that either HO or HP contains a diamond, so, IO, JO and JP are blank (because of the 2 in IP).

The 2 in HN indicates a diamond in HO, which makes HP blank. The 3 in IN places a diamond in JN and because of the 1 in JM, JL and IM are blank, which places a diamond in HM.

Now that the 2 in HL has two adjacent diamonds, GK and GL must be blank.

The 2 in FM indicates a diamond in FL, making EK blank.

The 2 in AK places diamonds in BK and AL; and blanks in BL and CK. The 1 in DK places a diamond in DL and a blank in DM. The diamond in AL makes BM and AN blank (because of the 1 in AM).

The diamonds in BK and DL (because of the 2 in CL) make CM blank. The only two cells which can satisfy the demand of the 2 in BN are AO and CO, making BO blank.

The 1 in CP makes BP and CQ blank. The only place left to satisfy the 2 in AP is AQ, making AR blank. The only place left to satisfy the 2 in DR is CR, making BR blank.

The 3 in CS requires a diamond in either BS or CT, making AT blank. To satisfy the 1 in AS, BS must have a diamond and CT must be blank.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
QuestionSounds familiar..FrankM2008-01-19 22:50:42
re: Given diamondsJosie Faulkner2007-10-17 14:50:21
Given diamondsnikki2007-10-08 15:06:57
re: nice puzzleJosie Faulkner2007-07-12 17:44:08
nice puzzleJonathan Lindgren2007-07-11 06:23:42
SolutionSolSachin2007-07-04 16:14:09
SolutionsolutionAsad2007-06-30 01:27:24
SolutionNo SubjectAsad2007-06-29 07:49:40
re: CommentaryJosie Faulkner2007-06-29 04:02:35
CommentaryVernon Lewis2007-06-28 21:28:48
re: nice puzzleJosie Faulkner2007-06-28 15:43:40
OopsTommy2007-06-28 15:08:28
nice puzzleJohn Reid2007-06-28 11:49:09
AnswerJoe2007-06-28 10:53:12
SolutionThomas Osberger2007-06-28 10:51:17
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