---
id: 5900f54c1000cf542c51005f
title: 'Problema 480: A última pergunta'
challengeType: 5
forumTopicId: 302158
dashedName: problem-480-the-last-question
---

# --description--

Considere todas as palavras que podem ser formadas selecionando letras, em qualquer ordem, a partir da frase:

$$\mathbf{\text{thereisasyetinsufficientdataforameaningfulanswer}}$$

Suponha que aquelas com 15 letras ou menos estão listadas em ordem alfabética e numeradas sequencialmente a partir de 1.

A lista incluiria:

$$\begin{align} & 1: \text{a} \\\\ & 2: \text{aa} \\\\ & 3: \text{aaa} \\\\ & 4: \text{aaaa} \\\\ & 5: \text{aaaaa} \\\\ & 6: \text{aaaaaa} \\\\ & 7: \text{aaaaaac} \\\\ & 8: \text{aaaaaacd} \\\\ & 9: \text{aaaaaacde} \\\\ & 10: \text{aaaaaacdee} \\\\ & 11: \text{aaaaaacdeee} \\\\ & 12: \text{aaaaaacdeeee} \\\\ & 13: \text{aaaaaacdeeeee} \\\\ & 14: \text{aaaaaacdeeeeee} \\\\ & 15: \text{aaaaaacdeeeeeef} \\\\ & 16: \text{aaaaaacdeeeeeeg} \\\\ & 17: \text{aaaaaacdeeeeeeh} \\\\ & \ldots \\\\ & 28: \text{aaaaaacdeeeeeey} \\\\ & 29: \text{aaaaaacdeeeeef} \\\\ & 30: \text{aaaaaacdeeeeefe} \\\\ & \ldots \\\\ & 115246685191495242: \text{euleoywuttttsss} \\\\ & 115246685191495243: \text{euler} \\\\ & 115246685191495244: \text{eulera} \\\\ & ... \\\\ & 525069350231428029: \text{ywuuttttssssrrr} \\\\ \end{align}$$

Defina $P(w)$ como a posição da palavra $w$.

Defina $W(p)$ como a palavra na posição $p$.

Podemos ver que $P(w)$ e $W(p)$ são inversos: $P(W(p)) = p$ e $W(P(w)) = w$.

Exemplos:

$$\begin{align} & W(10) = \text{ aaaaaacdee} \\\\ & P(\text{aaaaaacdee}) = 10 \\\\ & W(115246685191495243) = \text{ euler} \\\\ & P(\text{euler}) = 115246685191495243 \\\\ \end{align}$$

Encontre $$W(P(\text{legionary}) + P(\text{calorimeters}) - P(\text{annihilate}) + P(\text{orchestrated}) - P(\text{fluttering})).$$

Dê sua resposta usando caracteres em minúsculas (sem pontuação nem espaço).

# --hints--

`euler480()` deve retornar uma string.

```js
assert(typeof euler480() === 'string');
```

`euler480()` deve retornar a string `turnthestarson`.

```js
assert.strictEqual(euler480(), 'turnthestarson');
```

# --seed--

## --seed-contents--

```js
function euler480() {

  return true;
}

euler480();
```

# --solutions--

```js
// solution required
```
