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Tuesday's endgame (Tuesday, 20th February 2007)
PuzzleLover
Kwon-Tom Obsessive
Puzzles: 1033
Best Total: 38m 17s
Posted - 2007.02.21 07:33:13
The good times for Tuesday's puzzle must have seen some quick way thru it's endgame, but I sure don't.  Any tips?  Thanks.

m2e
Kwon-Tom Obsessive
Puzzles: 607
Best Total: 16m 43s
Posted - 2007.02.21 09:20:56
Try playing around with the only 3 left. You can do a few look-aheads (in your head) it which may/maynot get you places
foilman
Kwon-Tom Admin
Puzzles: 1718
Best Total: 24m 8s
Posted - 2007.02.21 09:25:16
2 bits I can instantly see:

The two ?s must be crosses. The one on the right of the '1' because otherwise you end up with 3 lines going into the bottom-right corner and no other way out. The one on top of the '1' because otherwise you get a similar situation with 3 lines going in to the middle-left of the unsolved area (the '3' a couple of squares above would also contribute a line going in).
m2e
Kwon-Tom Obsessive
Puzzles: 607
Best Total: 16m 43s
Posted - 2007.02.21 09:25:52
Hmm i think I'll make myself a bit clearer.
The following don't work with the 3:



Edit: foilman's is probably better
Last edited by m2e - 2007.02.21 09:26:38
astrokath
Kwon-Tom Obsessive
Puzzles: 3093
Best Total: 13m 42s
Posted - 2007.02.21 13:05:39
Quote:
Originally Posted by foilman
2 bits I can instantly see:

The two ?s must be crosses. The one on the right of the '1' because otherwise you end up with 3 lines going into the bottom-right corner and no other way out. The one on top of the '1' because otherwise you get a similar situation with 3 lines going in to the middle-left of the unsolved area (the '3' a couple of squares above would also contribute a line going in).

As well as those two being crosses, the spot to the left of that one must also be a cross - otherwise you'd have an odd number of ends in the bottom right corner.
foilman
Kwon-Tom Admin
Puzzles: 1718
Best Total: 24m 8s
Posted - 2007.02.21 14:29:26
Quote:
Originally Posted by astrokath
As well as those two being crosses, the spot to the left of that one must also be a cross - otherwise you'd have an odd number of ends in the bottom right corner.
Yes, very true! I didn't see it as quickly as the other two, but it's the same logic.
Jankonyex
Kwon-Tom Obsessive
Puzzles: 3727
Best Total: 9m 35s
Posted - 2007.02.21 14:53:07
Quote:
Originally Posted by puzzlelover
The good times for Tuesday's puzzle must have seen some quick way thru it's endgame, but I sure don't.  Any tips?  Thanks.
Very Simple Counting Problem,

First one:

Second:

That's all.
Jankonyex
Kwon-Tom Obsessive
Puzzles: 3727
Best Total: 9m 35s
Posted - 2007.02.21 15:17:27
If someone do not understand the second one, take a look at here.

ϡ@ϡ@ϡ@
@@@@@@
ϡ@@@
@@@H@@@
ϣAϡ@Ϣ
@@@H@@
ϣAϡ@Ϣ
@@A@A@A
ϡ@ϡ@ϡ@

Therefore a = b
By analysing the property of "1"
a = b = 0

Edit: Not even, that's odd. XP
Last edited by Jankonyex - 2007.02.21 20:22:53
astrokath
Kwon-Tom Obsessive
Puzzles: 3093
Best Total: 13m 42s
Posted - 2007.02.21 15:41:22
Quote:
Originally Posted by jankonyex

ϡ@ϡ@ϡ@
@@@@@@
ϡ@@@
@@@H@@@
ϣAϡ@Ϣ
@@@H@@
ϣAϡ@Ϣ
@@A@A@A
ϡ@ϡ@ϡ@

To me, that looks more like a knitting pattern than anything intelligible...
Naivoj
Kwon-Tom Addict
Puzzles: 314
Best Total: 33m 50s
Posted - 2007.02.22 02:30:48
After I reach the diagram position, I could not get any more rules or deductions either, so I colored(shading) many squares around the unsolved area and everything was then forced after the following 2 deductions:

The first color deduction has exactly the same result than Jankonyex counting deduction: the left and right squares of the 1 @r1c3 (in my diagram) have the same color therefore forcing 2 crosses in that 1(left and right). This specific coloring deduction is actually easy to do in your head without actually coloring the squares on the puzzle page.


The 2nd color deduction also has the same result than Jankonyex 2nd deduction(which I do not understand the explanation btw) where the top and bottom squares of the 1 @r5c3 have the same color again forcing 2 crosses on that 1(top and bottom). Note that the color of the 3 @r4c3 is easily deducted from the color of the squares around the 2 @r3c3.


But coloring take extra time so you do not get great time.
Last edited by Naivoj - 2007.02.22 02:46:52

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