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Puzzle ID: HY66-049IR-JUPK-CNRA-DVCG

 

1 - Observation

 

LL must give rise to a bridge which is not on a diagonal and is either two or four units long.

 

Deduction

 

It can only be two west. L is one west.

 

Action

 

Draw a bridge from LL to YO.

2 - Observation

 

HH must give rise to a bridge which is not on a diagonal and is either two or four units long.

 

Deduction

 

It can only be four north. H is two north.

 

Action

 

Draw a bridge from HH to YP.

3 - Observation

 

UU must give rise to a bridge which is not on a diagonal and is either two or four units long.

 

Deduction

 

It can only be four east. U is two east.

 

Action

 

Draw a bridge from UU to ZL.

 

4 - Observation

 

Look at HH which is rather isolated in the bottom left corner.

 

Deduction

 

The only possible bridge to HH is from VL. We already know that L is one west from step 1 so V must be two west.

 

Action

 

Draw a bridge from VL to HH.

 

5 - Observation

 

Look at VL. This is now rather isolated. The only possible bridge to it is from VE which is two south west.

 

Deduction

 

We know that V is two west so E must be two south.

 

Action

 

Draw a bridge from VE to VL.

 

6 - Observation

 

Look at EU.

 

Deduction

 

We already know that E is two south (step 5) and that U is two east (step 3).

 

Action

 

Draw a bridge from EU to VE.

 

7 - Observation

 

Look at YP. It could go to UU or EU.

 

Deduction

 

Going to EU would close the loop early so it must go to UU. YP is a linked pair (one south and one east).

 

Action

 

Draw a bridge from YP to UU.

 

8 - Observation

 

Look at ZL.

 

Deduction

 

It must have a one west component (step one). The only valid bridge is one north west. So Z is one north.

 

Action

 

Draw a bridge from ZL to PL.

 

9 - Observation

 

Look at ZO. The bridge from there must have a one north component (Z is one north from step 8) and the only valid one is one north.

 

Deduction

 

O is null.

 

Action

 

Draw a bridge from ZO to LL.

 

10 - Observation

 

Look at PO. We know that O is null (step 9) and that P is part of a linked pair (step 7).

 

Deduction

 

PO must be one south or one east. But only one east gives a valid bridge.

 

Action

 

Draw PO to ZO.

 

11 - Observation

 

The last possible bridge is YO to EU.

 

Deduction

 

-

 

Action

 

Draw a bridge from YO to EU. Puzzle completed.

 

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