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by **Kent** » Sat Apr 08, 2006 4:39 pm

Just wanna know what are the available solutions for this puzzle

Code: Select all: 4 8 9 | 6 1 . | 5 7 . 2 7 5 | 8 . . | . . . 6 3 1 | . . 7 | 9 . . -------+-------+------ 1 9 2 | 7 8 . | . 3 5 5 4 3 | . . . | 7 . . 7 6 8 | . . 5 | . 2 9 -------+-------+------ . 1 7 | 2 . . | 8 5 4 . . 6 | . . 8 | . 1 7 8 . 4 | . 7 1 | . 9 6 4 8 9 | 6 1 23 | 5 7 23 2 7 5 | 8 349 349 | 16 46 13 6 3 1 | 45 245 7 | 9 48 28 ----------------+----------------+---------------- 1 9 2 | 7 8 46 | 46 3 5 5 4 3 | 19 269 269 | 7 68 18 7 6 8 | 134 34 5 | 14 2 9 ----------------+----------------+---------------- 39 1 7 | 2 369 369 | 8 5 4 39 25 6 | 3459 3459 8 | 23 1 7 8 25 4 | 35 7 1 | 23 9 6

by **kevinzhong2001** » Sat Apr 08, 2006 7:36 pm

One hint: Since there must be a 2 in box 9(the bottom right one), therefore no 2s in c7=>one 2 in box 6,r5=>r6c5 is 2.

by **tso** » Sat Apr 08, 2006 8:22 pm

kevinzhong2001 wrote:One hint: Since there must be a 2 in box 9(the bottom right one), therefore no 2s in c7=>one 2 in box 6,r5=>r6c5 is 2.

This is incorrect and does not jibe with the given puzzle. r6c5 certainly is NOT 2.

Here is one possible move -- a six cell forcing chain:

Examine the six cells in [brackets] and {braces}.
If r4c6=4, then r2c6<>4.
If r4c6=6, then r4c7=4 ... then r2c6<>4.
Therefore, r2c6<>4.

Code: Select all: 4 8 9 | 6 1 23 | 5 7 23 2 7 5 | 8 349 {349} |[16] [46] 13 6 3 1 | 45 245 7 | 9 48 28 ----------------+----------------+---------------- 1 9 2 | 7 8 [46] |[46] 3 5 5 4 3 | 19 269 269 | 7 68 18 7 6 8 | 134 34 5 |[14] 2 9 ----------------+----------------+---------------- 39 1 7 | 2 369 369 | 8 5 4 39 25 6 | 3459 3459 8 | 23 1 7 8 25 4 | 35 7 1 | 23 9 6

Just singles after that.

by **kevinzhong2001** » Sat Apr 08, 2006 8:24 pm

Sorry. I sort of mess up.

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