initial commit

main
Antonio De Lucreziis 6 months ago
commit 77b32f9e2c

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# Based on https://raw.githubusercontent.com/github/gitignore/main/Node.gitignore
# Logs
logs
_.log
npm-debug.log_
yarn-debug.log*
yarn-error.log*
lerna-debug.log*
.pnpm-debug.log*
# Caches
.cache
# Diagnostic reports (https://nodejs.org/api/report.html)
report.[0-9]_.[0-9]_.[0-9]_.[0-9]_.json
# Runtime data
pids
_.pid
_.seed
*.pid.lock
# Directory for instrumented libs generated by jscoverage/JSCover
lib-cov
# Coverage directory used by tools like istanbul
coverage
*.lcov
# nyc test coverage
.nyc_output
# Grunt intermediate storage (https://gruntjs.com/creating-plugins#storing-task-files)
.grunt
# Bower dependency directory (https://bower.io/)
bower_components
# node-waf configuration
.lock-wscript
# Compiled binary addons (https://nodejs.org/api/addons.html)
build/Release
# Dependency directories
node_modules/
jspm_packages/
# Snowpack dependency directory (https://snowpack.dev/)
web_modules/
# TypeScript cache
*.tsbuildinfo
# Optional npm cache directory
.npm
# Optional eslint cache
.eslintcache
# Optional stylelint cache
.stylelintcache
# Microbundle cache
.rpt2_cache/
.rts2_cache_cjs/
.rts2_cache_es/
.rts2_cache_umd/
# Optional REPL history
.node_repl_history
# Output of 'npm pack'
*.tgz
# Yarn Integrity file
.yarn-integrity
# dotenv environment variable files
.env
.env.development.local
.env.test.local
.env.production.local
.env.local
# parcel-bundler cache (https://parceljs.org/)
.parcel-cache
# Next.js build output
.next
out
# Nuxt.js build / generate output
.nuxt
dist
# Gatsby files
# Comment in the public line in if your project uses Gatsby and not Next.js
# https://nextjs.org/blog/next-9-1#public-directory-support
# public
# vuepress build output
.vuepress/dist
# vuepress v2.x temp and cache directory
.temp
# Docusaurus cache and generated files
.docusaurus
# Serverless directories
.serverless/
# FuseBox cache
.fusebox/
# DynamoDB Local files
.dynamodb/
# TernJS port file
.tern-port
# Stores VSCode versions used for testing VSCode extensions
.vscode-test
# yarn v2
.yarn/cache
.yarn/unplugged
.yarn/build-state.yml
.yarn/install-state.gz
.pnp.*
# IntelliJ based IDEs
.idea
# Finder (MacOS) folder config
.DS_Store

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# Shortest Sum of Squares
This is a simple web application that shows a precomputed list of the shortest sum of squares for a given number. The list is
generated in Julia and then exported as a text file. The web application is built using Vite and SolidJS.
## Usage
### Setup
```bash
bun install
```
### Development
```bash
bun dev
```
### Build
```bash
bun run build
```

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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<title>Shortest Sum of Squares</title>
</head>
<body>
<noscript>You need to enable JavaScript to run this app.</noscript>
<div id="app"></div>
<script type="module" src="./src/main.jsx"></script>
</body>
</html>

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using Base
using DataStructures
found = Dict{Int, Array{Int64}}()
function count_nz(seq)
return length([i for i in seq if i > 0])
end
for i1 in 0:32
for i2 in i1:32
for i3 in i2:32
for i4 in i3:32
s = i1 ^ 2 + i2 ^ 2 + i3 ^ 2 + i4 ^ 2
if s <= 1000
seq = [ i1, i2, i3, i4 ]
# if !haskey(found, s)
# found[s] = seq
# end
if haskey(found, s)
s_prev = found[s]
if count_nz(seq) < count_nz(s_prev)
found[s] = seq
end
else
found[s] = seq
end
end
end
end
end
end
found = sort(found)
delete!(found, 0)
# for i = 1:1000
# if haskey(found, i)
# print("x")
# else
# print("_")
# end
# end
for (sum, seq) in found
println("$(join(["$(i)^2" for i in seq if i > 0], " + ")) = $(sum)")
end
# println(length([k for (k, v) in found if length([i for i in v if i != 0]) == 4]))

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{
"name": "shortest-sum-of-squares",
"version": "0.0.1",
"description": "",
"type": "module",
"scripts": {
"start": "vite",
"dev": "vite",
"build": "vite build",
"serve": "vite preview"
},
"license": "MIT",
"devDependencies": {
"@types/katex": "^0.16.7",
"solid-devtools": "^0.29.2",
"typescript": "^5.3.3",
"vite": "^5.0.11",
"vite-plugin-solid": "^2.8.2"
},
"dependencies": {
"@fontsource/geist-sans": "^5.0.3",
"katex": "^0.16.10",
"solid-js": "^1.8.11"
}
}

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import '@fontsource/geist-sans/latin.css'
import 'katex/dist/katex.min.css'
import katex from 'katex'
import './styles.css'
import { For, Show, createEffect, createMemo, createResource, createSignal } from 'solid-js'
import { render } from 'solid-js/web'
const LaTeX = ({ content }) => <span class="latex" ref={el => katex.render(content, el)} />
const generateScript = (value, expression) => {
const vector = expression.split('+').map(part => part.split('^')[0].trim())
return `
# cambia queste due righe con i valori corretti
file="my-file.pdf"
sides="two-sided-long-edge" # otherwise use two-sided-short-edge or one-sided
# stampa ${value} = ${expression} copie
for sq in ${vector.join(' ')}; do
lpr -P cdclf -# $sq -o media=a4 -o fit-to-page -o sides=$sides $file
done` // <- this missing "\n" is intentional
} // <- this missing "\n" is intentional
const ResultItem = ({ value, expression }) => {
const handleClick = () => {
navigator.clipboard.writeText(generateScript(value, expression))
}
return (
<div class="result-item" title="Click to copy shell snippet" onClick={handleClick}>
<LaTeX content={`${value} = ${expression}`} />
</div>
)
}
const App = ({}) => {
const [rawData] = createResource(() => fetch('/shortest-squares-v2.txt').then(res => res.text()))
const dict = createMemo(() =>
Object.fromEntries(
(rawData() ?? '')
.split('\n')
.filter(Boolean)
.map(line => {
const [expression, value] = line.split('=').map(part => part.trim())
return [parseInt(value), expression]
})
)
)
createEffect(() => {
console.log('dict', dict())
})
const [text, setText] = createSignal('')
const results = createMemo(() => {
const entries = Object.entries(dict())
const query = text().trim()
if (query === '') return entries
if (!/^\d+$/.test(query)) return entries
return entries.filter(([value]) => value.toString().includes(query))
})
const SHOW_COUNT = 8
return (
<>
<h1>Shortest Sum of Squares</h1>
<p>
Click a sum of squares to copy the <code>lpr</code> shell command to print that number of copies
</p>
<input type="text" value={text()} onInput={e => setText(e.target.value)} />
<div classList={{ 'results': true, 'has-more': results().length > SHOW_COUNT }}>
<For each={results().slice(0, SHOW_COUNT)}>
{([value, expression]) => <ResultItem value={value} expression={expression} />}
</For>
<Show when={results().length === 0}>
<p>
For now we pre-computed the shortest sums of squares up to 1000 as you shouldn't need to print more than
that many copies of a document. Paper is a <em>precious resource</em> after all.
</p>
</Show>
</div>
</>
)
}
render(() => <App />, document.getElementById('app'))

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*,
*::before,
*::after {
font-family: inherit;
margin: 0;
padding: 0;
box-sizing: border-box;
}
html,
body {
width: 100%;
height: 100%;
min-height: 100%;
}
img {
display: block;
}
body {
padding: 4rem 0;
font-family: 'Geist Sans', sans-serif;
font-size: 16px;
line-height: 1.5;
color: #333;
display: grid;
justify-content: center;
@media screen and (max-width: 768px) {
padding: 1rem 0.5rem;
}
}
/* Components */
h1,
h2,
h3,
h4 {
font-weight: 500;
}
h1 {
font-size: 3rem;
text-wrap: balance;
text-align: center;
line-height: 1.25;
}
p {
font-size: 18px;
font-weight: 400;
max-width: 60ch;
text-align: center;
}
pre, code {
font-family: 'Fira Code', 'Menlo', monospace;
}
code {
font-size: 95%;
}
input[type='text'] {
height: 2.5rem;
padding: 0 1rem;
border: 1px solid #ddd;
background: #fff;
border-radius: 5rem;
outline: none;
font-size: 18px;
text-align: center;
&:hover:not(:focus) {
border: 1px solid #aaa;
}
}
.has-more {
position: relative;
&::after {
content: '';
position: absolute;
bottom: 0;
width: 100%;
height: 5rem;
pointer-events: none;
z-index: 10;
background: linear-gradient(0deg, #ffffff, #ffffff00);
}
}
/* Structure */
#app {
display: flex;
flex-direction: column;
align-items: center;
gap: 2rem;
max-width: 100%;
& > input {
width: 100%;
max-width: 30rem;
box-shadow: 0 0 15rem #00000018;
}
.results {
display: flex;
flex-direction: column;
align-items: center;
user-select: none;
gap: 0.25rem;
text-align: center;
& > .result-item {
cursor: pointer;
display: grid;
place-content: center;
padding: 0.25rem 0.5rem;
border-radius: 0.5rem;
&:nth-child(1) {
font-size: 28px;
}
&:hover {
background: #f2f2f2;
}
@media screen and (max-width: 768px) {
&:nth-child(1) {
font-size: 24px;
}
&:not(:nth-child(1)) {
font-size: 16px;
}
}
}
}
@media screen and (max-width: 768px) {
gap: 1rem;
}
}

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{
"compilerOptions": {
// Enable latest features
"lib": ["ESNext", "DOM"],
"target": "ESNext",
"module": "ESNext",
"moduleDetection": "force",
"allowJs": true,
// Bundler mode
"moduleResolution": "bundler",
"allowImportingTsExtensions": true,
"verbatimModuleSyntax": true,
"noEmit": true,
// Best practices
"strict": true,
"skipLibCheck": true,
"noFallthroughCasesInSwitch": true,
// Some stricter flags (disabled by default)
"noUnusedLocals": false,
"noUnusedParameters": false,
"noPropertyAccessFromIndexSignature": false,
// JSX
"jsx": "preserve",
"jsxImportSource": "solid-js"
}
}

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import { defineConfig } from 'vite'
import solidPlugin from 'vite-plugin-solid'
// import devtools from 'solid-devtools/vite';
export default defineConfig({
plugins: [
// devtools(),
solidPlugin(),
],
server: {
port: 3000,
},
build: {
target: 'esnext',
},
})
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