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Puzzle ID: HYH66-053RY-UHEB-CYVZ-WUHI

 

1 - Observation

 

Because one cannot create a diagonal from a double letter clue, WW must give rise to a bridge which is not on a diagonal and is either two or four units long.

 

Deduction

 

The only possibility is two north. Thus W means one unit north.

 

Action

 

Draw a bridge from WW to MS.

2 - Observation

 

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

 

Deduction

 

QQ could be four east or four south. However, as CQ is less than two units from the eastern edge of the puzzle, QQ cannot be four east. Q means two units south.

 

Action

 

Draw a bridge from QQ to MS.

3 - Observation

 

We know that Q means two south (step 2). The only valid bridge from CQ which includes a two south component is two units south west.

 

Deduction

 

C must mean two units west.

 

Action

 

Draw a bridge from CQ to PC.

 

4 - Observation

 

The only valid bridge from CV with a two west component is three units west.

 

Deduction

 

As C means two units west (step 3) V must mean one unit west.

 

Action

 

Draw a bridge from CV to WD.

 

5 - Observation

 

We know already that W means one north and V means one west (steps 1 and 4).

 

Deduction

 

WV must mean one unit north west.

 

Action

 

Draw a bridge from WV to CQ.

 

6 - Observation

 

There are two islands containing MS as clues. The only valid bridge from both of them is one that goes one unit south east.

 

Deduction

 

MS is one unit south east. (So M is one south or one east and vice versa for S. No other letter can mean either of these two values.)

 

Action

 

Draw two bridges. From MS to CV and MS to SO.

 

7 - Observation

 

We know C means two west (step 4). The only valid bridge from PC with a two west component is two north west.

 

Deduction

 

P must mean two north.

 

Action

 

Draw a bridge from PC to QQ.

 

8 - Observation

 

We know that P means two north (step 7). The only valid bridge from PO with a two north component is two north east.

 

Deduction

 

O must mean two east.

 

Action

 

Draw a bridge from PO to SD.

 

9 - Observation

 

We know that O means two east (step 8). The only valid bridge from SO with a two east component is three east.

 

Deduction

 

S must mean one east.

 

Action

 

Draw a bridge from SO to WW.

 

10 - Observation

 

We know that W means one north (step 1). The only valid bridge from WD with a one north component is also one north.

 

Deduction

 

Therefore D must mean “null” or nothing.

 

Action

 

Draw a bridge from WD to PO.

 

11 - Observation

 

We know that D is null (step 10) and S means one east (step 9). Or one could just observe that there is only one possible bridge left.

 

Deduction

 

SD must mean one east.

 

Action

 

Draw a bridge from SD to WV. Puzzle complete.

 

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