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Answered: - Deep in the Valley of Obscure Knowledge, where only the mo


Deep in the Valley of Obscure Knowledge, where only the most intrepid seeker-scholars dare go, grow

rare and beautiful flowering vines, each of which blossoms with exactly nineteen delicate, white-petaled

blooms ? sugary florets that glisten and glimmer with the sweet promise of true understanding:


?

But journeyer, beware! Some of these vines impart knowledge, but others bring death. The only

blossoms that are safe for consumption come from vines whose flowers have been divided into exactly

seven partitions (all of which are non-empty) by six inky black leaves.

For example, see the following figures, excerpted from The Compendium of Obscure Knowledge

(Chapter 42, ?Mystical Properties of the Edible Flora of the Valley of Obscure Knowledge?):


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Fig. 36: A poisonous whiteblossom vine. Beware whiteblossom vines with no inky black leaves.


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Fig. 39: A poisonous whiteblossom vine that harbors an empty partition between the two left-most inky black leaves.


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Fig. 44: A poisonous whiteblossom vine. Notice the left-most inky black leaf demarcates an empty partition to its left.


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Fig. 45: A poisonous whiteblossom vine. This lethal pattern, a subtle variation of the vine from Fig. 44, generates eight

partitions (not seven), one of which is empty (the one to the left of the left-most inky black leaf). Flowers found in this

particular pattern can induce flash comas that last for mere seconds, but under which the victim experiences (with altered

perception of time) vivid delusions of living through several semesters of discrete mathematics at the undergraduate level.


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Fig. 293: A comestible whiteblossom vine. This particular pattern was first discovered by Alin S. Zumpforskessor and Proniteas

Rosenof on their second joint expedition into the valley. The efects of its consumption are documented on pg. 1189.


With all this in mind, how many unique patterns of blossoms and leaves are safe for consumption,

assuming we ignore individual flower sizes and focus only on the number of flowers in each partition?1

1


Note! The Valley of Obscure Knowledge is replete with dangers, among which are false seekers who come only to

sow seeds of malcontent among the valley?s seeker-scholars and to detract from the purity of their quests for

understanding. (These shades are known colloquially as ?haters.?) Often these haters will pluck inky black leaves

from poisonous whiteblossom vines in attempts to make them appear comestible. However, the loss of any leaf or

flower causes a whiteblossom vine to die within minutes. Thus, true and patient seekers can rest assured that all

poisonous vines can be definitively identified by the patterns described above.

 


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