Flower is the second bonus level of Doorhaven. The level involves eight binary choices, with only 1 combination out of the 256 possibilities being valid given the key amounts provided at the start of the level. The high number of possibilities make this level difficult to solve through trial and error. Because of that, this level often presents a challenge to new players of the game.
Description
This flower has quite a lot of branching paths on its...flower-branches. I'm sure you could try every combination of ways to go, but only one out of the 256 combinations would be correct. There has to be a better way to figure this out...
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Puzzle Logic
As the puzzle description suggests, the best way to solve this puzzle is not to guess and check, but to logically deduce which of the two choices is correct on each of the branches. This description numbers the branches 1-8 going clockwise from the top left.
The keys total to 16, so every key must be used.
Branches 6 and 8 require 1 orange key each, so no more orange doors can be taken. Branch 4 must go left and Branch 6 must go right.
Branch 7 requires 1 purple key, so the only way to spend 2 more purple keys is to go left at Branch 1. Branch 3 therefore also goes left.
At this point 3 green keys remain, and the only remaining places to spend them are Branch 5 right, Branch 7 left, and Branch 8 left.
All that remains are 2 white keys, which open the doors at Branch 2 right.
This is only one possible deductive method; other players may come up with alternate ways to arrive at the same answer.
Solution
After collecting all keys, going clockwise from the top left:
Open the left branch (double purple) and pick up the cyan key.
Open the right branch (double white) and pick up the cyan key.
Open the left branch (white and pink) and pick up the cyan key.
Open the left branch (green and white) and pick up the cyan key.
Open the right branch (white and green) and pick up the cyan key.
Open the right branch (pink and orange) and pick up the cyan key.
Open the left branch (green and purple) and pick up the cyan key.
Open the left branch (green and orange) and pick up the cyan key.
Open the bottom cyan 8-door and touch the goal.