Copying my assumptions about the rules, and observations from the previous puzzle:
- The squares on the grid edges are the doors with a pass colour that you need to pass from one room to another.
- The paired arrows in each cell represent exchanging your pass for a different colour.
- Multiple swaps can be performed in a room.
Observations:
- If a room has only one door of a particular colour, and no exchange-arrows with that colour, then that room represents a dead-end for that pass colour.
- If a room has only one exchange arrow with a particular colour, and no doors of that colour, then that exchange-arrow can be ignored.
- These rules can be applied iteratively, and a number of paths (and some entire rooms) can be marked as unusable dead-ends.
With all those options crossed out, we end up with the following map:
On to the puzzle:
The first few moves from reception are forced
E (To the Canteen)
Swap Orange-Red
E
Swap Red-Yellow-Green-Blue-Purple-Orange
N
Swap Orange-Red
W
Swap Red-Purple
W
Swap Purple-Blue
We now have a choice here, but the quickest was to Inaugurations is:
N, N
Swap Blue-Green
W,N,N
Swap Green-Blue
S
Swap Blue-Purple
N,E
Swap Purple-Blue-Yellow
E,E
Swap Yellow-Red-Blue-Orange-Purple-Green
N
Swap Green-Yellow-Blue-Red
W (To Inaugurations)
Swap Red-Green-Orange, and we have the right pass for our first goal.
This is a dead end, so we have to backtrack several moves before going anywhere new.
Swap Orange-Green-Red
E
Swap Red-Blue-Yellow-Green
S
Swap Green-Purple-Orange-Blue-Red-Yellow
W,W
Swap Yellow-Blue-Purple
W,S
Swap Purple-Blue
N
Swap Blue-Green
S
Here we diverge from our outbound route
W,S,W
Swap Green-Yellow
W,S
Swap Yellow-Purple
S,S (To Briefing Room, briefly)
W,W,N (To Induction, but we haven't got the right coloured pass yet, and can't get it here.)
Swap Purple-Green-Red
S
Swap Red-Yellow-Orange-Green-Blue
N (Back to Induction, with the correct pass this time for our second goal).
Again, we are in a dead-end and need to backtrack.
S
Swap Blue-Green-Orange-Yellow-Red
N
Swap Red-Green-Purple
S,E,E (Through the Briefing Room again)
N,N
There are other possible routes from here, but it is quicker to continue backtracking.
Swap Purple-Yellow
N,E
Swap Yellow-Green
E,N
Now we diverge again.
Swap Green-Blue-Red-Purple-Yellow
S
Swap Yellow-Blue-Purple
E,S
Swap Purple-Yellow
E,S
Swap Yellow-Orange-Red
S (To Reception)
Swap Red-Green-Yellow
E (To Canteen)
Swap Yellow-Green-Blue and we have reached our third goal.
Again, this is a dead-end, so backtracking is required.
The route here isn't entirely forced, but we've already passed through the Briefing Room, and the simplest way back there is to retrace our steps with a minor diversion at the end to make sure we have the correct pass.
Swap Blue-Green-Yellow
W (To Reception)
Swap Yellow-Green-Red
N
Swap Red-Orange-Yellow
N,W
Swap Yellow-Purple
N,W
Swap Purple-Blue-Yellow
N
Swap Yellow-Purple-Red-Blue-Green
S,W
Swap Green-Yellow
W,S
(Here we diverge from our Induction route.)
W
Swap Yellow-Green
S
Swap Green-Blue-Orange
S
Swap Orange-Blue-Red-Yellow-Green
E (To the Briefing Room with the correct pass for our fourth goal.)
Again, we are in a dead-end, so back we go...
W
Swap Green-Yellow-Red-Blue-Orange
N
Swap Orange-Blue-Green
N
Swap Green-Yellow
E,N,E
Swap Yellow-Green
E,N
Here we diverge
Swap Green-Blue-Red-Purple-Orange
W,W,W
Swap Orange-Green-Red-Blue
W,S
Swap Blue-Purple
N,N (To the Broom Cupboard, but lacking the correct pass)
N
Swap Purple-Red-Blue
S (To our luxurious officethe Broom Cupboard with the correct pass.)
Finally it's another bunch of backtracking along well-trod paths to find our way to Reception.
N
Swap Blue-Red-Purple
S (through the Broom Cupboard again)
S,S
Swap Purple-Blue
N,E
Swap Blue-Red-Green-Orange
E,E,E
Swap Orange-Purple-Red-Blue-Green
E,S,E
Swap Green-Blue
S,S
Swap Blue-Purple
E
Swap Purple-Green-Red
E
Swap Red-Orange
S
Swap Orange-Purple-Blue-Green-Yellow-Red
W (To the Canteen)
Swap Red-Orange
W (Back to Reception finally at the end of a long day.)
Map:
