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src/fibonacci-secondarie/2023-terza-fase/contest/contest.mdx
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import { S1Cioccolato } from "problemset"; | ||
import { S2Montagna } from "problemset"; | ||
import { S3Calcolatrice } from "problemset"; | ||
import { S4Superbunny } from "problemset"; | ||
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<Contest> | ||
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<Section> | ||
<Problem points={[5, 0, 0]} statement={S1Cioccolato} /> | ||
<Problem points={[5, 0, 0]} statement={S2Montagna} /> | ||
<Problem points={[5, 0, 0]} statement={S3Calcolatrice} /> | ||
<Problem points={[5, 0, 0]} statement={S4Superbunny} /> | ||
</Section> | ||
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</Contest> |
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src/fibonacci-secondarie/2023-terza-fase/contest/header.md
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# Giochi di Fibonacci 2023/2024 | ||
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## Fase finale - Scuole secondarie | ||
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Questa prova contiene _4 domande_ da risolvere in _3 ore_. | ||
Tutte le domande sono di **programmazione** tramite blocchi, e sono ordinate per difficoltà crescente. | ||
**Attento che la difficoltà è soggettiva!** Se stai passando tanto tempo cercando di risolvere una domanda, prova a passare ad altre domande e altre categorie! | ||
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## Punteggio | ||
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Tutte le domande sono a _blocchi_ e richiedono di scrivere un singolo programma a blocchi, che viene valutato su 10 diversi livelli. | ||
Per ciascuna domanda e per ciascun livello, Il punteggio che puoi ottenere è: | ||
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- 5 punti se il programma produce la risposta _corretta_; | ||
- 0 punti se il programma produce una risposta _sbagliata_. | ||
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Quindi ogni domanda a blocchi può valere fino a 50 punti in totale. | ||
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In ogni domanda a blocchi, i primi 5 livelli vengono anche visualizzati graficamente, mentre gli ultimi 5 livelli non vengono visualizzati. |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-1-cioccolato/asy/bunnies0.asy
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unitsize(1cm); | ||
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access "../../../../../asy_library/pictures/bunny_polychrome.asy" as bunny; | ||
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add(bunny.drawing(0.85, bunny.allie_col)); |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-1-cioccolato/asy/bunnies1.asy
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unitsize(1cm); | ||
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access "../../../../../asy_library/pictures/bunny_polychrome.asy" as bunny; | ||
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add(bunny.drawing(0.85, bunny.bunny_col)); |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-1-cioccolato/asy/bunnies2.asy
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unitsize(1cm); | ||
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access "../../../../../asy_library/pictures/bunny_polychrome.asy" as bunny; | ||
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add(bunny.drawing(0.85, bunny.carol_col)); |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-1-cioccolato/asy/bunnies3.asy
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unitsize(1cm); | ||
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access "../../../../../asy_library/pictures/bunny_polychrome.asy" as bunny; | ||
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add(bunny.drawing(0.85, bunny.tiptap_col)); |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-1-cioccolato/asy/bunny.asy
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unitsize(1cm); | ||
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access "../../../../../asy_library/pictures/bunny_polychrome.asy" as bunny; | ||
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add(reflect((2, 1), (2, 0))*bunny.drawing(0.85, bunny.tiptap_col)); |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-1-cioccolato/asy/chocolate.asy
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unitsize(1cm); | ||
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access "../../../../../asy_library/pictures/chocolate.asy" as chocolate; | ||
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add(chocolate.drawing()); |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-1-cioccolato/customBlocks.yaml
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- type: start | ||
message0: inizia qui | ||
nextStatement: null | ||
colour: 20 | ||
tooltip: L'esecuzione inizia da qui | ||
helpUrl: "" | ||
maxInstances: 1 | ||
js: "" | ||
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- type: larghezza | ||
message0: larghezza | ||
output: Number | ||
colour: 20 | ||
tooltip: larghezza della tavoletta rimasta | ||
helpUrl: "" | ||
js: | ||
- hiddenState.N | ||
- ORDER_MEMBER | ||
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- type: altezza | ||
message0: altezza | ||
output: Number | ||
colour: 20 | ||
tooltip: altezza della tavoletta rimasta | ||
helpUrl: "" | ||
js: | ||
- hiddenState.M | ||
- ORDER_MEMBER | ||
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- type: compagni | ||
message0: compagni | ||
output: Number | ||
colour: 20 | ||
tooltip: numero di compagni rimasti | ||
helpUrl: "" | ||
js: | ||
- hiddenState.K | ||
- ORDER_MEMBER | ||
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- type: spezza in orizzontale | ||
message0: spezza %1 quadratini in orizzontale | ||
args0: | ||
- type: input_value | ||
name: LENGTH | ||
value: 0 | ||
check: Number | ||
previousStatement: null | ||
nextStatement: null | ||
colour: 20 | ||
tooltip: spezza x quadratini in orizzontale | ||
helpUrl: "" | ||
js: |- | ||
(function(i) { | ||
if (i === undefined) exit(false, "l'argomento del blocco non ha un valore"); | ||
if (i <= 0 || Math.floor(i) != i) exit(false, "numero di righe " + i + " non valido"); | ||
if (i > hiddenState.M) exit(false, "non ci sono " + i + " righe"); | ||
hiddenState.M -= i; | ||
hiddenState.K -= 1; | ||
hiddenState.cuts.push(i); | ||
})(%0); | ||
- type: spezza in verticale | ||
message0: spezza %1 quadratini in verticale | ||
args0: | ||
- type: input_value | ||
name: LENGTH | ||
value: 0 | ||
check: Number | ||
previousStatement: null | ||
nextStatement: null | ||
colour: 20 | ||
tooltip: spezza x quadratini in verticale | ||
helpUrl: "" | ||
js: |- | ||
(function(i) { | ||
if (i === undefined) exit(false, "l'argomento del blocco non ha un valore"); | ||
if (i <= 0 || Math.floor(i) != i) exit(false, "numero di colonne " + i + " non valido"); | ||
if (i > hiddenState.N) exit(false, "non ci sono " + i + " colonne"); | ||
hiddenState.N -= i; | ||
hiddenState.K -= 1; | ||
hiddenState.cuts.push(-i); | ||
})(%0); | ||
- type: termina | ||
message0: termina | ||
previousStatement: null | ||
colour: 20 | ||
tooltip: termina il procedimento | ||
helpUrl: "" | ||
js: | | ||
if (hiddenState.K > 0) | ||
exit(false, "ci sono ancora compagni che vogliono cioccolato"); | ||
if (hiddenState.N*hiddenState.M < hiddenState.sol) | ||
exit(false, "potevi tenerti più cioccolato"); | ||
exit(true, "hai distribuito bene il cioccolato, complimenti!"); |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-1-cioccolato/initialBlocks.json
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{ | ||
"blocks": { | ||
"languageVersion": 0, | ||
"blocks": [ | ||
{ | ||
"type": "start", | ||
"id": "y=zq)Uya2A/{vyOtN[i6", | ||
"x": 61, | ||
"y": 81 | ||
} | ||
] | ||
}, | ||
"variables": [] | ||
} |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-1-cioccolato/lorenzo.jpg
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src/fibonacci-secondarie/2023-terza-fase/contest/s-1-cioccolato/question.mdx
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import initialBlocks from "./initialBlocks.json"; | ||
import customBlocks from "./customBlocks.yaml"; | ||
import testcases from "./testcases.py"; | ||
import Visualizer from "./visualizer.jsx"; | ||
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Tip-Tap adora il cioccolato, e allora si è comprato una tavoletta di cioccolato fatta di $N \times M$ quadratini. | ||
Anche i $K$ suoi compagni di fattoria vorrebbero mangiare il cioccolato, e Tip-Tap è troppo buono per non dargliene! | ||
Quindi per $K$ volte spezza la tavoletta in due parti rettangolari, non necessariamente uguali, e dà una delle due ad uno dei suoi $K$ compagni tenendo infine l'ultimo pezzo per sè. | ||
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 | ||
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La tavoletta può essere spezzata solo lungo i bordi dei quadratini, in orizzontale o verticale, in modo tale da non dividere nessun quadratino in due. | ||
Inoltre una volta spezzata una parte, quella viene subito presa e mangiata da un amico senza dargli la possibilità di spezzarla ulteriormente. | ||
Tip-Tap vorrebbe sapere come spezzare la tavoletta $K$ volte in modo che gli rimangano il maggior numero possibile di quadratini. Puoi aiutarlo? | ||
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Puoi usare questi blocchi: | ||
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- `larghezza`: la larghezza attuale della tavoletta. | ||
- `altezza`: l'altezza attuale della tavoletta. | ||
- `compagni`: il numero di compagni che ancora chiedono del cioccolato. | ||
- `spezza x quadratini in orizzontale`: spezza la tavoletta in orizzontale, lasciando $x$ file ad un compagno. | ||
- `spezza x quadratini in verticale`: spezza la tavoletta in verticale, lasciando $x$ colonne ad un compagno. | ||
- `termina`: mangia il cioccolato rimasto. | ||
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Aiuta Tip-Tap a spezzare la tavoletta $K$ volte, in modo gli rimanga il maggior numero possibile di quadratini! | ||
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<Blockly | ||
customBlocks={customBlocks} | ||
initialBlocks={initialBlocks} | ||
testcases={testcases} | ||
debug={{ logBlocks: false, logJs: false, logVariables: false }} | ||
Visualizer={Visualizer} | ||
/> | ||
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> Un possibile programma corretto è il seguente: | ||
> | ||
>  | ||
> | ||
> Secondo questo programma, per ognuno dei compagni di Tip-Tap, il protagonista | ||
> controlla se la tavoletta è più larga o più alta, e gli passa una singola fila | ||
> o colonna a seconda di quale delle due è più piccola. In questo modo, si | ||
> assicura che alla fine gli rimanga più cioccolato possibile. |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-1-cioccolato/sol.png
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src/fibonacci-secondarie/2023-terza-fase/contest/s-1-cioccolato/testcases.py
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from random import randint, seed | ||
import json | ||
import math | ||
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seed(42) | ||
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L = [2, 5, 10, 10, 10, 90, 900, 900, 900, 900] | ||
U = [3, 10, 20, 20, 20, 100, 1000, 1000, 1000, 1000] | ||
type = [0, 1, 2, 3, 0, 3, 0, 2, 0, 4] | ||
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params = [L, U, type] | ||
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def solve(n, m, k): | ||
if n > m: | ||
n, m = m, n | ||
d = min(k, m - n) | ||
k -= d | ||
m -= d | ||
n -= k // 2 | ||
m -= k // 2 + k % 2 | ||
return n*m | ||
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def generate(L, U, type): | ||
args = set(locals()) | set(['args']) | ||
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# base generator | ||
if type == 1: | ||
# M = 1 | ||
N = randint(L, U) | ||
M = 1 | ||
elif type == 2: | ||
#quadrato | ||
N = M = randint(L, U) | ||
elif type == 3: | ||
#rettangolo stretto e allungato | ||
M = randint(L, U) | ||
N = randint(1, L) | ||
else: | ||
#generico | ||
N = randint(L, U) | ||
M = randint(L, U) | ||
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if type == 4: | ||
K = randint(max(N+M-5, 1), N+M-2) | ||
else: | ||
K = randint(1, N+M-2) | ||
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# additional state for visualizer | ||
sol = solve(N, M, K) | ||
cuts = [] | ||
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return {k:v for k,v in locals().items() if k not in args} | ||
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testcases = [] | ||
for args in zip(*params): | ||
testcases.append(generate(*args)) | ||
print(json.dumps(list(testcases))) |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-1-cioccolato/visualizer.jsx
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import React from "react"; | ||
import { range } from "lodash-es"; | ||
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import { Canvas, Sprite, Rectangle, Variables } from "~/utils/visualizer"; | ||
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import bunny from "./asy/bunny.asy?w=66"; | ||
import chocolate from "./asy/chocolate.asy?w=25"; | ||
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const bunnies = import.meta.glob("./asy/bunnies*.asy", { | ||
eager: true, | ||
import: "default", | ||
query: { w: 50 }, | ||
}); | ||
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export default function Visualizer({ variables }) { | ||
const { blocklyVariables, hiddenState } = variables; | ||
if (!hiddenState) return; | ||
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var blocks = []; | ||
var xoffs = 1.5; | ||
var yoffs = 9; | ||
var sep = 0.15; | ||
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function chocblock(N0, N, M0, M, name="cioc") { | ||
for (var i=N0; i<N; ++i) | ||
for (var j=M0; j<M; ++j) | ||
blocks.push(<Sprite key={name+'-'+i+'-'+j} src={chocolate} alt={name+'-'+i+'-'+j} x={xoffs+i*0.5} y={yoffs-j*0.5} />) | ||
} | ||
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var N = hiddenState.N; | ||
var M = hiddenState.M; | ||
if (N <= 20 && M <= 20) { | ||
chocblock(0, N, 0, M); | ||
for (var i=hiddenState.cuts.length-1; i>=0; --i) { | ||
var c = hiddenState.cuts[i]; | ||
if (c > 0) { | ||
yoffs -= sep; | ||
chocblock(0, N, M, M+c); | ||
M += c; | ||
} else { | ||
xoffs += sep; | ||
chocblock(N, N-c, 0, M); | ||
N -= c; | ||
} | ||
} | ||
} | ||
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var len = Object.keys(bunnies).length; | ||
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return ( | ||
<> | ||
<Canvas scale={50}> | ||
<Sprite src={bunny} alt="Tip-Tap" x={0} y={yoffs-2} follow /> | ||
{range(N <= 20 && M <= 20 ? hiddenState.K : 0).map((i) => { | ||
return <Sprite key={"bunny-"+i} src={bunnies[`./asy/bunnies${i%len}.asy`]} alt="Bunny" x={2+N*(0.5+sep)+((11*i)%19)*0.4} y={4+3*i/(hiddenState.K+hiddenState.cuts.length-1)} /> | ||
})} | ||
{blocks} | ||
</Canvas> | ||
<Variables variables={{larghezza: hiddenState.N, altezza: hiddenState.M, compagni: hiddenState.K, ...blocklyVariables}} /> | ||
</> | ||
); | ||
} |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-2-montagna/asy/bunny.asy
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unitsize(1cm); | ||
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access "../../../../../asy_library/pictures/bunny_polychrome.asy" as bunny; | ||
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filldraw((2,-1) -- (2.5,0) -- (6,0) -- (5.5,-1) -- cycle, heavyblue*0.5 + lightgray*0.5, blue+3); | ||
add(shift(-0.7,0.3)*reflect((2, 1), (2, 0))*bunny.drawing(0.85, bunny.bunny_col)); | ||
add(shift(1.2,0.6)*reflect((2, 1), (2, 0))*bunny.drawing(0.85, bunny.tiptap_col)); | ||
add(shift(0.5,0)*reflect((2, 1), (2, 0))*bunny.drawing(0.85, bunny.carol_col)); | ||
filldraw((2,-1) -- (5.5,-1) -- (6, -2) -- (2, -2) -- cycle, heavyblue, blue+3); | ||
filldraw((6,0) -- (5.5,-1) -- (6, -2) -- (6.5,-1) -- cycle, darkblue, blue+3); | ||
for (int i=0; i<2; ++i) { | ||
filldraw(circle((3+2*i,-2), 0.7), gray, black+3); | ||
filldraw(circle((3+2*i,-2), 0.2), mediumgray, black+2); | ||
} |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-2-montagna/asy/leftri.asy
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unitsize(1cm); | ||
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pen lightcol = rgb("9e6b5a"); | ||
pen darkcol = brown+2; | ||
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path bord = (0,0) {dir(10)}..{dir(30)} (1,1); | ||
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fill(bord -- (1,0) -- cycle, lightcol); | ||
fill((0,0) {dir(0)}..{dir(35)} (1,1) -- reverse(bord) -- cycle, darkcol); |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-2-montagna/asy/leftsnow.asy
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unitsize(1cm); | ||
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pen lightcol = rgb("9e6b5a"); | ||
pen darkcol = brown+2; | ||
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path bord = (0,0) {dir(60)}..{E} (1,1); | ||
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fill(bord -- (1,0) -- cycle, lightcol); | ||
fill(point(bord, 0.2) {E}..{dir(50)} (1,0.45) -- (1,1) -- subpath(bord, 1, 0.2) -- cycle, palegray); | ||
fill((0,0) {dir(55)}..{dir(5)} (1,1) -- reverse(bord) -- cycle, darkcol); |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-2-montagna/asy/offcharge.asy
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unitsize(1cm); | ||
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access "../../../../../asy_library/pictures/charger.asy" as charger; | ||
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add(charger.drawing()); |
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src/fibonacci-secondarie/2023-terza-fase/contest/s-2-montagna/asy/oncharge.asy
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unitsize(1cm); | ||
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access "../../../../../asy_library/pictures/charger.asy" as charger; | ||
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add(charger.drawing(1, lightyellow, green)); |
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