---
id: 5900f54c1000cf542c51005f
challengeType: 5
title: 'Problem 480: The Last Question'
---
## Description
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: ywuuttttssssrrrDefine 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) = 115246685191495243Find W(P(legionary) + P(calorimeters) - P(annihilate) + P(orchestrated) - P(fluttering)).
Give your answer using lowercase characters (no punctuation or space).
## Instructions
## Tests
```yml
tests:
- text: euler480() should return turnthestarson.
testString: assert.strictEqual(euler480(), turnthestarson, 'euler480() should return turnthestarson.');
```
## Challenge Seed
```js
function euler480() {
// Good luck!
return true;
}
euler480();
```