Tuesday's endgame (Tuesday, 20th February 2007) 
PuzzleLover KwonTom 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 KwonTom 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 lookaheads (in your head) it which may/maynot get you places 
foilman KwonTom Admin Puzzles: 2558 Best Total: 24m 6s  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 bottomright 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 middleleft of the unsolved area (the '3' a couple of squares above would also contribute a line going in). 
m2e KwonTom 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 KwonTom Obsessive Puzzles: 3258 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 bottomright 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 middleleft 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 KwonTom Admin Puzzles: 2558 Best Total: 24m 6s  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 KwonTom Obsessive Puzzles: 5050 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 KwonTom Obsessive Puzzles: 5050 Best Total: 9m 35s  Posted  2007.02.21 15:17:27 If someone do not understand the second one, take a look at here.
¡Ï¡@¡Ï¡@¡Ï¡@¡Ï ¡@¢@¡@¡@¡@¡þ¡@ ¡Ï¡@¢÷¡@¢÷¡@¡Ï ¡@¡@¡@¡H¡@¡@¡@ ¡Ï£A¡Ï¡@¡Ï¢é¡Ï ¡@¡@¡@¡H¡@¢°¡@ ¡Ï£A¡Ï¡@¡Ï¢ê¡Ï ¡@¡@£A¡@£A¡@£A ¡Ï¡@¡Ï¡@¡Ï¡@¡Ï
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 KwonTom Obsessive Puzzles: 3258 Best Total: 13m 42s  Posted  2007.02.21 15:41:22
Quote: Originally Posted by jankonyex ¡Ï¡@¡Ï¡@¡Ï¡@¡Ï ¡@¢@¡@¡@¡@¡þ¡@ ¡Ï¡@¢í¡@¢í¡@¡Ï ¡@¡@¡@¡H¡@¡@¡@ ¡Ï£A¡Ï¡@¡Ï¢é¡Ï ¡@¡@¡@¡H¡@¢°¡@ ¡Ï£A¡Ï¡@¡Ï¢ê¡Ï ¡@¡@£A¡@£A¡@£A ¡Ï¡@¡Ï¡@¡Ï¡@¡Ï

To me, that looks more like a knitting pattern than anything intelligible... 
Naivoj KwonTom 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 