9
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Arrange the 4 pieces into a big slitherlink.
To help you arrange it, First find the solvable small slitherlink then put it in the bottom-left position.

1st piece
enter image description here

2nd piece

enter image description here
3rd piece

enter image description here
4th piece

enter image description here

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  • $\begingroup$ This is uniquely solvable, right? $\endgroup$ – Wen1now Oct 26 '17 at 9:26
  • $\begingroup$ @Wen1now yes uniquely solvable $\endgroup$ – Jamal Senjaya Oct 26 '17 at 9:27
  • $\begingroup$ @Wen1now the smaller slit is also uniquely solvable $\endgroup$ – Jamal Senjaya Oct 26 '17 at 9:29
  • $\begingroup$ So, none of these is individually solvable, or is it? $\endgroup$ – ABcDexter Oct 26 '17 at 13:36
4
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The big slitherlink looks like this:

enter image description here

Solve path:

The first piece can not be on the bottom because a link has to leave to the bottom between the 2 and the 1. The second piece can not be on the right because either the 3s in the top right or the 3 in the bottom right will cause a contradiction. Next I tried the pieces 1, 3 and 4 in the top left (this would force the second piece into the bottom left) and found contradictions. This leaves the second piece in the top left and the first piece in the top right. The fourth piece can not be to the right of the third piece because the 3s there yield a contradiction. This leaves us with the order 2-1-4-3. The resulting big slitherlink can be solved fairly straightforward.

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  • $\begingroup$ Bravo! I was trying to solve each individual ones. Couldn't get much far. $\endgroup$ – ABcDexter Oct 26 '17 at 13:40
  • $\begingroup$ How about the smaller slither? $\endgroup$ – Nurnani Tati Oct 27 '17 at 5:20
2
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solution for the smaller slither (4th piece)

enter image description here

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  • $\begingroup$ Perfect solve. +1 $\endgroup$ – ABcDexter Oct 27 '17 at 22:32

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