Consider all the words which can be formed by selecting letters, in any order, from the phrase:
thereisasyetinsufficientdataforameaningfulanswer
Suppose those with 15 letters or less are listed in alphabetical order and numbered sequentially starting at 1.
The list would include:
- 1 : a
- 2 : aa
- 3 : aaa
- 4 : aaaa
- 5 : aaaaa
- 6 : aaaaaa
- 7 : aaaaaac
- 8 : aaaaaacd
- 9 : aaaaaacde
- 10 : aaaaaacdee
- 11 : aaaaaacdeee
- 12 : aaaaaacdeeee
- 13 : aaaaaacdeeeee
- 14 : aaaaaacdeeeeee
- 15 : aaaaaacdeeeeeef
- 16 : aaaaaacdeeeeeeg
- 17 : aaaaaacdeeeeeeh
- ...
- 28 : aaaaaacdeeeeeey
- 29 : aaaaaacdeeeeef
- 30 : aaaaaacdeeeeefe
- ...
- 115246685191495242: euleoywuttttsss
- 115246685191495243: euler
- 115246685191495244: eulera
- ...
- 525069350231428029: ywuuttttssssrrr
Define P(w) as the position of the word w.
Define W(p) as the word in position p.
We can see that P(w) and W(p) are inverses: P(W(p)) = p and W(P(w)) = w.
Examples:
- W(10) = aaaaaacdee
- P(aaaaaacdee) = 10
- W(115246685191495243) = euler
- P(euler) = 115246685191495243
Find W(P(legionary) + P(calorimeters) - P(annihilate) + P(orchestrated) - P(fluttering)).
Give your answer using lowercase characters (no punctuation or space).
Solution
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solutions/s480.md.