115 lines
1.6 KiB
Markdown
115 lines
1.6 KiB
Markdown
---
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id: 5900f54c1000cf542c51005f
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title: 'Problem 480: The Last Question'
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challengeType: 5
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forumTopicId: 302158
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dashedName: problem-480-the-last-question
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---
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# --description--
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Consider all the words which can be formed by selecting letters, in any order, from the phrase:
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thereisasyetinsufficientdataforameaningfulanswer
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Suppose those with 15 letters or less are listed in alphabetical order and numbered sequentially starting at 1.
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The list would include:
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1 : a
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2 : aa
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3 : aaa
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4 : aaaa
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5 : aaaaa
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6 : aaaaaa
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7 : aaaaaac
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8 : aaaaaacd
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9 : aaaaaacde
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10 : aaaaaacdee
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11 : aaaaaacdeee
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12 : aaaaaacdeeee
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13 : aaaaaacdeeeee
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14 : aaaaaacdeeeeee
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15 : aaaaaacdeeeeeef
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16 : aaaaaacdeeeeeeg
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17 : aaaaaacdeeeeeeh
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...
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28 : aaaaaacdeeeeeey
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29 : aaaaaacdeeeeef
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30 : aaaaaacdeeeeefe
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...
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115246685191495242: euleoywuttttsss
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115246685191495243: euler
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115246685191495244: eulera
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...
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525069350231428029: ywuuttttssssrrrDefine P(w) as the position of the word w.
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Define W(p) as the word in position p.
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We can see that P(w) and W(p) are inverses: P(W(p)) = p and W(P(w)) = w.
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Examples:
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W(10) = aaaaaacdee
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P(aaaaaacdee) = 10
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W(115246685191495243) = euler
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P(euler) = 115246685191495243Find W(P(legionary) + P(calorimeters) - P(annihilate) + P(orchestrated) - P(fluttering)).
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Give your answer using lowercase characters (no punctuation or space).
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# --hints--
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`euler480()` should return turnthestarson.
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```js
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assert.strictEqual(euler480(), turnthestarson);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler480() {
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return true;
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}
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euler480();
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```
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# --solutions--
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```js
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// solution required
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```
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