67 lines
2.2 KiB
Markdown
67 lines
2.2 KiB
Markdown
---
|
|
id: 5900f54c1000cf542c51005f
|
|
title: 'Problema 480: L''ultima domanda'
|
|
challengeType: 5
|
|
forumTopicId: 302158
|
|
dashedName: problem-480-the-last-question
|
|
---
|
|
|
|
# --description--
|
|
|
|
Considera tutte le parole che possono essere formate selezionando lettere, in qualsiasi ordine, dalla frase:
|
|
|
|
$$\mathbf{\text{thereisasyetinsufficientdataforameaningfulanswer}}$$
|
|
|
|
Supponi che quelle con 15 lettere o meno sono elencate in ordine alfabetico e numerate sequenzialmente iniziando da 1.
|
|
|
|
La lista includerebbe:
|
|
|
|
$$\begin{align} & 1: \text{a} \\\\ & 2: \text{aa} \\\\ & 3: \text{aaa} \\\\ & 4: \text{aaaa} \\\\ & 5: \text{aaaaa} \\\\ & 6: \text{aaaaaa} \\\\ & 7: \text{aaaaaac} \\\\ & 8: \text{aaaaaacd} \\\\ & 9: \text{aaaaaacde} \\\\ & 10: \text{aaaaaacdee} \\\\ & 11: \text{aaaaaacdeee} \\\\ & 12: \text{aaaaaacdeeee} \\\\ & 13: \text{aaaaaacdeeeee} \\\\ & 14: \text{aaaaaacdeeeeee} \\\\ & 15: \text{aaaaaacdeeeeeef} \\\\ & 16: \text{aaaaaacdeeeeeeg} \\\\ & 17: \text{aaaaaacdeeeeeeh} \\\\ & \ldots \\\\ & 28: \text{aaaaaacdeeeeeey} \\\\ & 29: \text{aaaaaacdeeeeef} \\\\ & 30: \text{aaaaaacdeeeeefe} \\\\ & \ldots \\\\ & 115246685191495242: \text{euleoywuttttsss} \\\\ & 115246685191495243: \text{euler} \\\\ & 115246685191495244: \text{eulera} \\\\ & ... \\\\ & 525069350231428029: \text{ywuuttttssssrrr} \\\\ \end{align}$$
|
|
|
|
Sia $P(w)$ la posizione della parola $w$.
|
|
|
|
Sia $W(p)$ la parola in posizione $p$.
|
|
|
|
Possiamo vedere che $P(w)$ e $W(p)$ sono operazioni inverse: $P(W(p)) = p$ e $W(P(w)) = w$.
|
|
|
|
Esempi:
|
|
|
|
$$\begin{align} & W(10) = \text{ aaaaaacdee} \\\\ & P(\text{aaaaaacdee}) = 10 \\\\ & W(115246685191495243) = \text{ euler} \\\\ & P(\text{euler}) = 115246685191495243 \\\\ \end{align}$$
|
|
|
|
Trova $$W(P(\text{legionary}) + P(\text{calorimeters}) - P(\text{annihilate}) + P(\text{orchestrated}) - P(\text{fluttering})).$$
|
|
|
|
Dai la tua risposta usando caratteri minuscoli (senza punteggiatura o spazi).
|
|
|
|
# --hints--
|
|
|
|
`euler480()` dovrebbe restituire una stringa.
|
|
|
|
```js
|
|
assert(typeof euler480() === 'string');
|
|
```
|
|
|
|
`euler480()` dovrebbe restituire la stringa `turnthestarson`.
|
|
|
|
```js
|
|
assert.strictEqual(euler480(), 'turnthestarson');
|
|
```
|
|
|
|
# --seed--
|
|
|
|
## --seed-contents--
|
|
|
|
```js
|
|
function euler480() {
|
|
|
|
return true;
|
|
}
|
|
|
|
euler480();
|
|
```
|
|
|
|
# --solutions--
|
|
|
|
```js
|
|
// solution required
|
|
```
|