Beginner struggling with medium puzzle

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Beginner struggling with medium puzzle

Postby jungzimm » Thu May 11, 2006 7:28 pm

I can usually solve medium puzzles from pappocom's software without listing candidates or branching but this one has got me messed up somehow. Could anyone point me one or two steps in the next direction.

Code: Select all
Original puzzle:


   9   | 4   5 |       
 5     |     8 | 7     
     8 | 9 1   | 4
-------------------------
   1   |       | 8   5
   4   |       |   9     
 3   5 |       |   2   
-------------------------
     9 |   4 1 | 2     
     7 | 3     |     1
       | 7   2 |   8

As Far as I've gotten (not very far)


   9   | 4   5 |     8
 5   4 |     8 | 7   9     
     8 | 9 1   | 4 5 2
-------------------------
   1   |       | 8   5
   4   |       |   9     
 3   5 |       |   2   
-------------------------
     9 |   4 1 | 2     
     7 | 3     |     1
       | 7   2 |   8


Grateful for any help you can offer,

John
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Postby RW » Thu May 11, 2006 7:43 pm

Look for number 9 in box 4.

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Postby ravel » Thu May 11, 2006 10:11 pm

Unfortunately the 9 alone will not help you much.

How i would try to proceed (hope i dont say too much) ?

What can be seen easily:
In box 9 (right bottom 3x3 group) 5 and 9 (both in columns 8 and 9) only can be in r89c7 (row 8, column 7 and row 9,column 7).
In column 3 (both in box 4) 1 and 3 only can go to r19c3.
78 in box 4 (both in column 3) can only go to r5c1 and r6c2, which gives a 26 pair in r45c3.

Nothing helps to find a number.
So i have to count and start with box 3, where only 3 numbers are left:
r1c7 can only be 36, r1c8 either 36, r2c8 only 1, next number.

No other 1's forced by that, but the 36-pair will help to solve the puzzle.
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Postby Crazy Girl » Thu May 11, 2006 10:23 pm

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re: Beginner struggling with Medium puzzle

Postby Pat » Fri May 12, 2006 6:56 am

jungzimm wrote:I can usually solve Medium puzzles from Pappocom's software without listing candidates or branching,
but this one has got me messed up somehow.
Could anyone point me one or two steps in the next direction.

Original puzzle:
Code: Select all
 . 9 . | 4 . 5 | . . .
 5 . . | . . 8 | 7 . .
 . . 8 | 9 1 . | 4 . .
-------+-------+------
 . 1 . | . . . | 8 . 5
 . 4 . | . . . | . 9 .
 3 . 5 | . . . | . 2 .
-------+-------+------
 . . 9 | . 4 1 | 2 . .
 . . 7 | 3 . . | . . 1
 . . . | 7 . 2 | . 8 .


As Far as I've gotten (not very far):
Code: Select all
 . 9 . | 4 . 5 | . . 8
 5 . 4 | . . 8 | 7 . 9
 . . 8 | 9 1 . | 4 5 2
-------+-------+------
 . 1 . | . . . | 8 . 5
 . 4 . | . . . | . 9 .
 3 . 5 | . . . | . 2 .
-------+-------+------
 . . 9 | . 4 1 | 2 . .
 . . 7 | 3 . . | . . 1
 . . . | 7 . 2 | . 8 .


in r2, only one place for the 1;

now the 3 for box3 must be in r1,
so we have a box-line interaction
in c3, only one place for the 3 (not in r1).

~ Pat
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Postby jungzimm » Fri May 12, 2006 1:02 pm

Thank you everyone and especailly for the pointers to the advanced techniques. It still took me a while after the 1 in Box 3 and the 59 in r89c7; but eventually I got it. I've still got a ways to go in comprehending the more advanced stuff.:)
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