Stuck on Pic-a-Pix
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RE: Stuck on Pic-a-Pix - 7/15/2015 12:50:53 AM
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CharleneTX
Posts: 211
Joined: 6/4/2009
From: United States
Status: offline
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Look again at rows 10 and 11.
Spoiler -- explanation below:
Because the first clue on each row is a 1 and the third square is filled, the second square in the row must be blank.
If the first square is the 1, then the second square must be blank.
If the filled third square is the 1, then the second square must be blank.
For row 11, because the first two clues are 1s, the filled third square must be a 1 (unknown yet whether it's the first or second 1) so the fourth square in that row is blank.
The should break your solving roadblock.
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RE: Stuck on Pic-a-Pix - 7/15/2015 2:15:05 PM
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arik_iis
Posts: 216
Joined: 3/16/2005
From: Israel
Status: offline
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...and let me add on top of what Charlene has explained another method to find another starting point - looking at the edges, and considering the affect of and edge line on its neighbor.
Look at row 1. You only have a clue of 7.
Look at row 2 - the first clue is 3.
Back to row 1:
If you were to place the 7 filled cells starting at column 1, then the first clues of columns 1 through 7, which are all greater than 1, would create a sequence of 7 filled cells also in row 2. This contradicts the clue of 3 for row 2, and can't happen, so R1C1 (Row1/Column1) must be blank.
This logic will be used again to prove also the next 3 cells in Row1 will be left blank (R1C2, R1C3, R1C4) - I am stopping this logic after 4 squares because by now, skipping the first 4 cells in row 1 means I left enough space in Row2 to complete the first clue of 3, so now I have to consider BOTH clues or Row2, and I don't want to drag you into this.
these 4 blank cells (R1C1-R1C4) mean you will add a filled cell to the ones you marked in Column 3 and 4 (R8C4 and R12C3), and this will add another breakthrough for you...
I realize the above is complex, and I might have not done a good job explaining it, so feel free to ask questions...
Good luck! and happy puzzling !
Arik.
P.S. If you want to do an exercise, you can continue the above analysis of Row 1 - the actual learning is that you get 5 blank cells on the left side (R1C1 to R1C5), as well as 4 blank cells from the right (R1C17 to R1C20), telling you that R1C9, R1C10, R1C11 are filled...
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RE: Stuck on Pic-a-Pix - 7/15/2015 6:12:57 PM
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Ahlyis
Posts: 158
Joined: 12/30/2009
From: United States
Status: offline
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Thank you for that description Arik. It was clear enough for me. It helped solidify a technique which I somewhat grasped before, but didn't really have carefully thought out yet.
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