From 77b32f9e2c434a91a6a34a6869291ae144ba26e0 Mon Sep 17 00:00:00 2001
From: Antonio De Lucreziis <antonio.delucreziis@gmail.com>
Date: Thu, 16 May 2024 00:17:40 +0200
Subject: [PATCH] initial commit

---
 .gitignore                     |  175 ++++++
 README.md                      |   24 +
 bun.lockb                      |  Bin 0 -> 59557 bytes
 index.html                     |   13 +
 julia-scripts/generate-ssos.jl |   54 ++
 package.json                   |   25 +
 public/shortest-squares-v2.txt | 1000 ++++++++++++++++++++++++++++++++
 src/main.jsx                   |   94 +++
 src/styles.css                 |  169 ++++++
 tsconfig.json                  |   30 +
 vite.config.js                 |   16 +
 11 files changed, 1600 insertions(+)
 create mode 100644 .gitignore
 create mode 100644 README.md
 create mode 100755 bun.lockb
 create mode 100644 index.html
 create mode 100644 julia-scripts/generate-ssos.jl
 create mode 100644 package.json
 create mode 100644 public/shortest-squares-v2.txt
 create mode 100644 src/main.jsx
 create mode 100644 src/styles.css
 create mode 100644 tsconfig.json
 create mode 100644 vite.config.js

diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..9b1ee42
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,175 @@
+# 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
diff --git a/README.md b/README.md
new file mode 100644
index 0000000..fe2ad12
--- /dev/null
+++ b/README.md
@@ -0,0 +1,24 @@
+# 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
+```
diff --git a/bun.lockb b/bun.lockb
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diff --git a/index.html b/index.html
new file mode 100644
index 0000000..af016ac
--- /dev/null
+++ b/index.html
@@ -0,0 +1,13 @@
+<!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>
diff --git a/julia-scripts/generate-ssos.jl b/julia-scripts/generate-ssos.jl
new file mode 100644
index 0000000..ebce979
--- /dev/null
+++ b/julia-scripts/generate-ssos.jl
@@ -0,0 +1,54 @@
+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]))
diff --git a/package.json b/package.json
new file mode 100644
index 0000000..aa6b4f1
--- /dev/null
+++ b/package.json
@@ -0,0 +1,25 @@
+{
+  "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"
+  }
+}
diff --git a/public/shortest-squares-v2.txt b/public/shortest-squares-v2.txt
new file mode 100644
index 0000000..b955172
--- /dev/null
+++ b/public/shortest-squares-v2.txt
@@ -0,0 +1,1000 @@
+1^2 = 1
+1^2 + 1^2 = 2
+1^2 + 1^2 + 1^2 = 3
+2^2 = 4
+1^2 + 2^2 = 5
+1^2 + 1^2 + 2^2 = 6
+1^2 + 1^2 + 1^2 + 2^2 = 7
+2^2 + 2^2 = 8
+3^2 = 9
+1^2 + 3^2 = 10
+1^2 + 1^2 + 3^2 = 11
+2^2 + 2^2 + 2^2 = 12
+2^2 + 3^2 = 13
+1^2 + 2^2 + 3^2 = 14
+1^2 + 1^2 + 2^2 + 3^2 = 15
+4^2 = 16
+1^2 + 4^2 = 17
+3^2 + 3^2 = 18
+1^2 + 3^2 + 3^2 = 19
+2^2 + 4^2 = 20
+1^2 + 2^2 + 4^2 = 21
+2^2 + 3^2 + 3^2 = 22
+1^2 + 2^2 + 3^2 + 3^2 = 23
+2^2 + 2^2 + 4^2 = 24
+5^2 = 25
+1^2 + 5^2 = 26
+1^2 + 1^2 + 5^2 = 27
+1^2 + 1^2 + 1^2 + 5^2 = 28
+2^2 + 5^2 = 29
+1^2 + 2^2 + 5^2 = 30
+1^2 + 1^2 + 2^2 + 5^2 = 31
+4^2 + 4^2 = 32
+1^2 + 4^2 + 4^2 = 33
+3^2 + 5^2 = 34
+1^2 + 3^2 + 5^2 = 35
+6^2 = 36
+1^2 + 6^2 = 37
+1^2 + 1^2 + 6^2 = 38
+1^2 + 1^2 + 1^2 + 6^2 = 39
+2^2 + 6^2 = 40
+4^2 + 5^2 = 41
+1^2 + 4^2 + 5^2 = 42
+3^2 + 3^2 + 5^2 = 43
+2^2 + 2^2 + 6^2 = 44
+3^2 + 6^2 = 45
+1^2 + 3^2 + 6^2 = 46
+1^2 + 1^2 + 3^2 + 6^2 = 47
+4^2 + 4^2 + 4^2 = 48
+7^2 = 49
+1^2 + 7^2 = 50
+1^2 + 1^2 + 7^2 = 51
+4^2 + 6^2 = 52
+2^2 + 7^2 = 53
+1^2 + 2^2 + 7^2 = 54
+1^2 + 1^2 + 2^2 + 7^2 = 55
+2^2 + 4^2 + 6^2 = 56
+2^2 + 2^2 + 7^2 = 57
+3^2 + 7^2 = 58
+1^2 + 3^2 + 7^2 = 59
+1^2 + 1^2 + 3^2 + 7^2 = 60
+5^2 + 6^2 = 61
+1^2 + 5^2 + 6^2 = 62
+1^2 + 1^2 + 5^2 + 6^2 = 63
+8^2 = 64
+1^2 + 8^2 = 65
+1^2 + 1^2 + 8^2 = 66
+3^2 + 3^2 + 7^2 = 67
+2^2 + 8^2 = 68
+1^2 + 2^2 + 8^2 = 69
+3^2 + 5^2 + 6^2 = 70
+1^2 + 3^2 + 5^2 + 6^2 = 71
+6^2 + 6^2 = 72
+3^2 + 8^2 = 73
+5^2 + 7^2 = 74
+1^2 + 5^2 + 7^2 = 75
+2^2 + 6^2 + 6^2 = 76
+2^2 + 3^2 + 8^2 = 77
+2^2 + 5^2 + 7^2 = 78
+1^2 + 2^2 + 5^2 + 7^2 = 79
+4^2 + 8^2 = 80
+9^2 = 81
+1^2 + 9^2 = 82
+1^2 + 1^2 + 9^2 = 83
+2^2 + 4^2 + 8^2 = 84
+2^2 + 9^2 = 85
+1^2 + 2^2 + 9^2 = 86
+1^2 + 1^2 + 2^2 + 9^2 = 87
+4^2 + 6^2 + 6^2 = 88
+5^2 + 8^2 = 89
+3^2 + 9^2 = 90
+1^2 + 3^2 + 9^2 = 91
+1^2 + 1^2 + 3^2 + 9^2 = 92
+2^2 + 5^2 + 8^2 = 93
+2^2 + 3^2 + 9^2 = 94
+1^2 + 2^2 + 3^2 + 9^2 = 95
+4^2 + 4^2 + 8^2 = 96
+4^2 + 9^2 = 97
+7^2 + 7^2 = 98
+1^2 + 7^2 + 7^2 = 99
+10^2 = 100
+1^2 + 10^2 = 101
+1^2 + 1^2 + 10^2 = 102
+1^2 + 1^2 + 1^2 + 10^2 = 103
+2^2 + 10^2 = 104
+1^2 + 2^2 + 10^2 = 105
+5^2 + 9^2 = 106
+1^2 + 5^2 + 9^2 = 107
+2^2 + 2^2 + 10^2 = 108
+3^2 + 10^2 = 109
+1^2 + 3^2 + 10^2 = 110
+1^2 + 1^2 + 3^2 + 10^2 = 111
+2^2 + 2^2 + 2^2 + 10^2 = 112
+7^2 + 8^2 = 113
+1^2 + 7^2 + 8^2 = 114
+3^2 + 5^2 + 9^2 = 115
+4^2 + 10^2 = 116
+6^2 + 9^2 = 117
+1^2 + 6^2 + 9^2 = 118
+1^2 + 1^2 + 6^2 + 9^2 = 119
+2^2 + 4^2 + 10^2 = 120
+11^2 = 121
+1^2 + 11^2 = 122
+1^2 + 1^2 + 11^2 = 123
+1^2 + 1^2 + 1^2 + 11^2 = 124
+2^2 + 11^2 = 125
+1^2 + 2^2 + 11^2 = 126
+1^2 + 1^2 + 2^2 + 11^2 = 127
+8^2 + 8^2 = 128
+1^2 + 8^2 + 8^2 = 129
+3^2 + 11^2 = 130
+1^2 + 3^2 + 11^2 = 131
+2^2 + 8^2 + 8^2 = 132
+4^2 + 6^2 + 9^2 = 133
+2^2 + 3^2 + 11^2 = 134
+1^2 + 2^2 + 3^2 + 11^2 = 135
+6^2 + 10^2 = 136
+4^2 + 11^2 = 137
+1^2 + 4^2 + 11^2 = 138
+3^2 + 3^2 + 11^2 = 139
+2^2 + 6^2 + 10^2 = 140
+2^2 + 4^2 + 11^2 = 141
+5^2 + 6^2 + 9^2 = 142
+1^2 + 5^2 + 6^2 + 9^2 = 143
+12^2 = 144
+1^2 + 12^2 = 145
+5^2 + 11^2 = 146
+1^2 + 5^2 + 11^2 = 147
+2^2 + 12^2 = 148
+7^2 + 10^2 = 149
+1^2 + 7^2 + 10^2 = 150
+1^2 + 1^2 + 7^2 + 10^2 = 151
+2^2 + 2^2 + 12^2 = 152
+3^2 + 12^2 = 153
+1^2 + 3^2 + 12^2 = 154
+3^2 + 5^2 + 11^2 = 155
+1^2 + 3^2 + 5^2 + 11^2 = 156
+6^2 + 11^2 = 157
+1^2 + 6^2 + 11^2 = 158
+1^2 + 1^2 + 6^2 + 11^2 = 159
+4^2 + 12^2 = 160
+1^2 + 4^2 + 12^2 = 161
+9^2 + 9^2 = 162
+1^2 + 9^2 + 9^2 = 163
+8^2 + 10^2 = 164
+1^2 + 8^2 + 10^2 = 165
+2^2 + 9^2 + 9^2 = 166
+1^2 + 2^2 + 9^2 + 9^2 = 167
+2^2 + 8^2 + 10^2 = 168
+13^2 = 169
+1^2 + 13^2 = 170
+1^2 + 1^2 + 13^2 = 171
+6^2 + 6^2 + 10^2 = 172
+2^2 + 13^2 = 173
+1^2 + 2^2 + 13^2 = 174
+1^2 + 1^2 + 2^2 + 13^2 = 175
+4^2 + 4^2 + 12^2 = 176
+2^2 + 2^2 + 13^2 = 177
+3^2 + 13^2 = 178
+1^2 + 3^2 + 13^2 = 179
+6^2 + 12^2 = 180
+9^2 + 10^2 = 181
+1^2 + 9^2 + 10^2 = 182
+1^2 + 1^2 + 9^2 + 10^2 = 183
+2^2 + 6^2 + 12^2 = 184
+4^2 + 13^2 = 185
+1^2 + 4^2 + 13^2 = 186
+3^2 + 3^2 + 13^2 = 187
+1^2 + 3^2 + 3^2 + 13^2 = 188
+2^2 + 4^2 + 13^2 = 189
+3^2 + 9^2 + 10^2 = 190
+1^2 + 3^2 + 9^2 + 10^2 = 191
+8^2 + 8^2 + 8^2 = 192
+7^2 + 12^2 = 193
+5^2 + 13^2 = 194
+1^2 + 5^2 + 13^2 = 195
+14^2 = 196
+1^2 + 14^2 = 197
+1^2 + 1^2 + 14^2 = 198
+1^2 + 1^2 + 1^2 + 14^2 = 199
+2^2 + 14^2 = 200
+1^2 + 2^2 + 14^2 = 201
+9^2 + 11^2 = 202
+1^2 + 9^2 + 11^2 = 203
+2^2 + 2^2 + 14^2 = 204
+3^2 + 14^2 = 205
+1^2 + 3^2 + 14^2 = 206
+1^2 + 1^2 + 3^2 + 14^2 = 207
+8^2 + 12^2 = 208
+1^2 + 8^2 + 12^2 = 209
+4^2 + 5^2 + 13^2 = 210
+3^2 + 9^2 + 11^2 = 211
+4^2 + 14^2 = 212
+1^2 + 4^2 + 14^2 = 213
+3^2 + 3^2 + 14^2 = 214
+1^2 + 3^2 + 3^2 + 14^2 = 215
+2^2 + 4^2 + 14^2 = 216
+3^2 + 8^2 + 12^2 = 217
+7^2 + 13^2 = 218
+1^2 + 7^2 + 13^2 = 219
+1^2 + 1^2 + 7^2 + 13^2 = 220
+5^2 + 14^2 = 221
+1^2 + 5^2 + 14^2 = 222
+1^2 + 1^2 + 5^2 + 14^2 = 223
+4^2 + 8^2 + 12^2 = 224
+15^2 = 225
+1^2 + 15^2 = 226
+1^2 + 1^2 + 15^2 = 227
+4^2 + 4^2 + 14^2 = 228
+2^2 + 15^2 = 229
+1^2 + 2^2 + 15^2 = 230
+1^2 + 1^2 + 2^2 + 15^2 = 231
+6^2 + 14^2 = 232
+8^2 + 13^2 = 233
+3^2 + 15^2 = 234
+1^2 + 3^2 + 15^2 = 235
+2^2 + 6^2 + 14^2 = 236
+2^2 + 8^2 + 13^2 = 237
+2^2 + 3^2 + 15^2 = 238
+1^2 + 2^2 + 3^2 + 15^2 = 239
+2^2 + 2^2 + 6^2 + 14^2 = 240
+4^2 + 15^2 = 241
+11^2 + 11^2 = 242
+1^2 + 11^2 + 11^2 = 243
+10^2 + 12^2 = 244
+7^2 + 14^2 = 245
+1^2 + 7^2 + 14^2 = 246
+1^2 + 1^2 + 7^2 + 14^2 = 247
+2^2 + 10^2 + 12^2 = 248
+2^2 + 7^2 + 14^2 = 249
+5^2 + 15^2 = 250
+1^2 + 5^2 + 15^2 = 251
+1^2 + 1^2 + 5^2 + 15^2 = 252
+3^2 + 10^2 + 12^2 = 253
+2^2 + 5^2 + 15^2 = 254
+1^2 + 2^2 + 5^2 + 15^2 = 255
+16^2 = 256
+1^2 + 16^2 = 257
+1^2 + 1^2 + 16^2 = 258
+3^2 + 5^2 + 15^2 = 259
+2^2 + 16^2 = 260
+6^2 + 15^2 = 261
+1^2 + 6^2 + 15^2 = 262
+1^2 + 1^2 + 6^2 + 15^2 = 263
+2^2 + 2^2 + 16^2 = 264
+3^2 + 16^2 = 265
+1^2 + 3^2 + 16^2 = 266
+5^2 + 11^2 + 11^2 = 267
+6^2 + 6^2 + 14^2 = 268
+10^2 + 13^2 = 269
+1^2 + 10^2 + 13^2 = 270
+1^2 + 1^2 + 10^2 + 13^2 = 271
+4^2 + 16^2 = 272
+1^2 + 4^2 + 16^2 = 273
+7^2 + 15^2 = 274
+1^2 + 7^2 + 15^2 = 275
+2^2 + 4^2 + 16^2 = 276
+9^2 + 14^2 = 277
+1^2 + 9^2 + 14^2 = 278
+1^2 + 1^2 + 9^2 + 14^2 = 279
+6^2 + 10^2 + 12^2 = 280
+5^2 + 16^2 = 281
+1^2 + 5^2 + 16^2 = 282
+3^2 + 7^2 + 15^2 = 283
+1^2 + 3^2 + 7^2 + 15^2 = 284
+2^2 + 5^2 + 16^2 = 285
+3^2 + 9^2 + 14^2 = 286
+1^2 + 3^2 + 9^2 + 14^2 = 287
+12^2 + 12^2 = 288
+17^2 = 289
+1^2 + 17^2 = 290
+1^2 + 1^2 + 17^2 = 291
+6^2 + 16^2 = 292
+2^2 + 17^2 = 293
+1^2 + 2^2 + 17^2 = 294
+1^2 + 1^2 + 2^2 + 17^2 = 295
+10^2 + 14^2 = 296
+1^2 + 10^2 + 14^2 = 297
+3^2 + 17^2 = 298
+1^2 + 3^2 + 17^2 = 299
+2^2 + 10^2 + 14^2 = 300
+3^2 + 6^2 + 16^2 = 301
+2^2 + 3^2 + 17^2 = 302
+1^2 + 2^2 + 3^2 + 17^2 = 303
+4^2 + 12^2 + 12^2 = 304
+4^2 + 17^2 = 305
+9^2 + 15^2 = 306
+1^2 + 9^2 + 15^2 = 307
+4^2 + 6^2 + 16^2 = 308
+2^2 + 4^2 + 17^2 = 309
+2^2 + 9^2 + 15^2 = 310
+1^2 + 2^2 + 9^2 + 15^2 = 311
+4^2 + 10^2 + 14^2 = 312
+12^2 + 13^2 = 313
+5^2 + 17^2 = 314
+1^2 + 5^2 + 17^2 = 315
+1^2 + 1^2 + 5^2 + 17^2 = 316
+11^2 + 14^2 = 317
+1^2 + 11^2 + 14^2 = 318
+1^2 + 1^2 + 11^2 + 14^2 = 319
+8^2 + 16^2 = 320
+1^2 + 8^2 + 16^2 = 321
+3^2 + 12^2 + 13^2 = 322
+3^2 + 5^2 + 17^2 = 323
+18^2 = 324
+1^2 + 18^2 = 325
+1^2 + 1^2 + 18^2 = 326
+1^2 + 1^2 + 1^2 + 18^2 = 327
+2^2 + 18^2 = 328
+1^2 + 2^2 + 18^2 = 329
+4^2 + 5^2 + 17^2 = 330
+5^2 + 9^2 + 15^2 = 331
+2^2 + 2^2 + 18^2 = 332
+3^2 + 18^2 = 333
+1^2 + 3^2 + 18^2 = 334
+1^2 + 1^2 + 3^2 + 18^2 = 335
+4^2 + 8^2 + 16^2 = 336
+9^2 + 16^2 = 337
+7^2 + 17^2 = 338
+1^2 + 7^2 + 17^2 = 339
+4^2 + 18^2 = 340
+1^2 + 4^2 + 18^2 = 341
+2^2 + 7^2 + 17^2 = 342
+1^2 + 2^2 + 7^2 + 17^2 = 343
+2^2 + 4^2 + 18^2 = 344
+5^2 + 8^2 + 16^2 = 345
+11^2 + 15^2 = 346
+1^2 + 11^2 + 15^2 = 347
+1^2 + 1^2 + 11^2 + 15^2 = 348
+5^2 + 18^2 = 349
+1^2 + 5^2 + 18^2 = 350
+1^2 + 1^2 + 5^2 + 18^2 = 351
+8^2 + 12^2 + 12^2 = 352
+8^2 + 17^2 = 353
+1^2 + 8^2 + 17^2 = 354
+3^2 + 11^2 + 15^2 = 355
+10^2 + 16^2 = 356
+1^2 + 10^2 + 16^2 = 357
+3^2 + 5^2 + 18^2 = 358
+1^2 + 3^2 + 5^2 + 18^2 = 359
+6^2 + 18^2 = 360
+19^2 = 361
+1^2 + 19^2 = 362
+1^2 + 1^2 + 19^2 = 363
+2^2 + 6^2 + 18^2 = 364
+2^2 + 19^2 = 365
+1^2 + 2^2 + 19^2 = 366
+1^2 + 1^2 + 2^2 + 19^2 = 367
+2^2 + 2^2 + 6^2 + 18^2 = 368
+12^2 + 15^2 = 369
+3^2 + 19^2 = 370
+1^2 + 3^2 + 19^2 = 371
+4^2 + 10^2 + 16^2 = 372
+7^2 + 18^2 = 373
+1^2 + 7^2 + 18^2 = 374
+1^2 + 1^2 + 7^2 + 18^2 = 375
+4^2 + 6^2 + 18^2 = 376
+4^2 + 19^2 = 377
+1^2 + 4^2 + 19^2 = 378
+3^2 + 3^2 + 19^2 = 379
+1^2 + 3^2 + 3^2 + 19^2 = 380
+2^2 + 4^2 + 19^2 = 381
+3^2 + 7^2 + 18^2 = 382
+1^2 + 3^2 + 7^2 + 18^2 = 383
+8^2 + 8^2 + 16^2 = 384
+4^2 + 12^2 + 15^2 = 385
+5^2 + 19^2 = 386
+1^2 + 5^2 + 19^2 = 387
+8^2 + 18^2 = 388
+10^2 + 17^2 = 389
+1^2 + 10^2 + 17^2 = 390
+1^2 + 1^2 + 10^2 + 17^2 = 391
+14^2 + 14^2 = 392
+1^2 + 14^2 + 14^2 = 393
+13^2 + 15^2 = 394
+1^2 + 13^2 + 15^2 = 395
+2^2 + 14^2 + 14^2 = 396
+6^2 + 19^2 = 397
+1^2 + 6^2 + 19^2 = 398
+1^2 + 1^2 + 6^2 + 19^2 = 399
+20^2 = 400
+1^2 + 20^2 = 401
+1^2 + 1^2 + 20^2 = 402
+3^2 + 13^2 + 15^2 = 403
+2^2 + 20^2 = 404
+9^2 + 18^2 = 405
+1^2 + 9^2 + 18^2 = 406
+1^2 + 1^2 + 9^2 + 18^2 = 407
+2^2 + 2^2 + 20^2 = 408
+3^2 + 20^2 = 409
+7^2 + 19^2 = 410
+1^2 + 7^2 + 19^2 = 411
+1^2 + 1^2 + 7^2 + 19^2 = 412
+2^2 + 3^2 + 20^2 = 413
+2^2 + 7^2 + 19^2 = 414
+1^2 + 2^2 + 7^2 + 19^2 = 415
+4^2 + 20^2 = 416
+1^2 + 4^2 + 20^2 = 417
+3^2 + 3^2 + 20^2 = 418
+3^2 + 7^2 + 19^2 = 419
+2^2 + 4^2 + 20^2 = 420
+14^2 + 15^2 = 421
+1^2 + 14^2 + 15^2 = 422
+1^2 + 1^2 + 14^2 + 15^2 = 423
+10^2 + 18^2 = 424
+5^2 + 20^2 = 425
+1^2 + 5^2 + 20^2 = 426
+9^2 + 11^2 + 15^2 = 427
+2^2 + 10^2 + 18^2 = 428
+2^2 + 5^2 + 20^2 = 429
+3^2 + 14^2 + 15^2 = 430
+1^2 + 3^2 + 14^2 + 15^2 = 431
+4^2 + 4^2 + 20^2 = 432
+12^2 + 17^2 = 433
+1^2 + 12^2 + 17^2 = 434
+5^2 + 7^2 + 19^2 = 435
+6^2 + 20^2 = 436
+1^2 + 6^2 + 20^2 = 437
+7^2 + 10^2 + 17^2 = 438
+1^2 + 7^2 + 10^2 + 17^2 = 439
+2^2 + 6^2 + 20^2 = 440
+21^2 = 441
+1^2 + 21^2 = 442
+1^2 + 1^2 + 21^2 = 443
+1^2 + 1^2 + 1^2 + 21^2 = 444
+2^2 + 21^2 = 445
+1^2 + 2^2 + 21^2 = 446
+1^2 + 1^2 + 2^2 + 21^2 = 447
+4^2 + 4^2 + 4^2 + 20^2 = 448
+7^2 + 20^2 = 449
+3^2 + 21^2 = 450
+1^2 + 3^2 + 21^2 = 451
+14^2 + 16^2 = 452
+1^2 + 14^2 + 16^2 = 453
+2^2 + 3^2 + 21^2 = 454
+1^2 + 2^2 + 3^2 + 21^2 = 455
+2^2 + 14^2 + 16^2 = 456
+4^2 + 21^2 = 457
+13^2 + 17^2 = 458
+1^2 + 13^2 + 17^2 = 459
+6^2 + 10^2 + 18^2 = 460
+10^2 + 19^2 = 461
+1^2 + 10^2 + 19^2 = 462
+1^2 + 1^2 + 10^2 + 19^2 = 463
+8^2 + 20^2 = 464
+1^2 + 8^2 + 20^2 = 465
+5^2 + 21^2 = 466
+1^2 + 5^2 + 21^2 = 467
+12^2 + 18^2 = 468
+1^2 + 12^2 + 18^2 = 469
+2^2 + 5^2 + 21^2 = 470
+1^2 + 2^2 + 5^2 + 21^2 = 471
+2^2 + 12^2 + 18^2 = 472
+3^2 + 8^2 + 20^2 = 473
+4^2 + 13^2 + 17^2 = 474
+3^2 + 5^2 + 21^2 = 475
+1^2 + 3^2 + 5^2 + 21^2 = 476
+6^2 + 21^2 = 477
+1^2 + 6^2 + 21^2 = 478
+1^2 + 1^2 + 6^2 + 21^2 = 479
+4^2 + 8^2 + 20^2 = 480
+9^2 + 20^2 = 481
+11^2 + 19^2 = 482
+1^2 + 11^2 + 19^2 = 483
+22^2 = 484
+1^2 + 22^2 = 485
+1^2 + 1^2 + 22^2 = 486
+1^2 + 1^2 + 1^2 + 22^2 = 487
+2^2 + 22^2 = 488
+1^2 + 2^2 + 22^2 = 489
+7^2 + 21^2 = 490
+1^2 + 7^2 + 21^2 = 491
+2^2 + 2^2 + 22^2 = 492
+3^2 + 22^2 = 493
+1^2 + 3^2 + 22^2 = 494
+1^2 + 1^2 + 3^2 + 22^2 = 495
+2^2 + 2^2 + 2^2 + 22^2 = 496
+2^2 + 3^2 + 22^2 = 497
+4^2 + 11^2 + 19^2 = 498
+3^2 + 7^2 + 21^2 = 499
+4^2 + 22^2 = 500
+1^2 + 4^2 + 22^2 = 501
+3^2 + 3^2 + 22^2 = 502
+1^2 + 3^2 + 3^2 + 22^2 = 503
+2^2 + 4^2 + 22^2 = 504
+8^2 + 21^2 = 505
+1^2 + 8^2 + 21^2 = 506
+5^2 + 11^2 + 19^2 = 507
+1^2 + 5^2 + 11^2 + 19^2 = 508
+5^2 + 22^2 = 509
+1^2 + 5^2 + 22^2 = 510
+1^2 + 1^2 + 5^2 + 22^2 = 511
+16^2 + 16^2 = 512
+1^2 + 16^2 + 16^2 = 513
+15^2 + 17^2 = 514
+1^2 + 15^2 + 17^2 = 515
+2^2 + 16^2 + 16^2 = 516
+6^2 + 9^2 + 20^2 = 517
+2^2 + 15^2 + 17^2 = 518
+1^2 + 2^2 + 15^2 + 17^2 = 519
+6^2 + 22^2 = 520
+11^2 + 20^2 = 521
+9^2 + 21^2 = 522
+1^2 + 9^2 + 21^2 = 523
+2^2 + 6^2 + 22^2 = 524
+2^2 + 11^2 + 20^2 = 525
+2^2 + 9^2 + 21^2 = 526
+1^2 + 2^2 + 9^2 + 21^2 = 527
+4^2 + 16^2 + 16^2 = 528
+23^2 = 529
+1^2 + 23^2 = 530
+1^2 + 1^2 + 23^2 = 531
+8^2 + 12^2 + 18^2 = 532
+2^2 + 23^2 = 533
+1^2 + 2^2 + 23^2 = 534
+1^2 + 1^2 + 2^2 + 23^2 = 535
+4^2 + 6^2 + 22^2 = 536
+2^2 + 2^2 + 23^2 = 537
+3^2 + 23^2 = 538
+1^2 + 3^2 + 23^2 = 539
+1^2 + 1^2 + 3^2 + 23^2 = 540
+10^2 + 21^2 = 541
+1^2 + 10^2 + 21^2 = 542
+1^2 + 1^2 + 10^2 + 21^2 = 543
+12^2 + 20^2 = 544
+4^2 + 23^2 = 545
+1^2 + 4^2 + 23^2 = 546
+3^2 + 3^2 + 23^2 = 547
+8^2 + 22^2 = 548
+15^2 + 18^2 = 549
+1^2 + 15^2 + 18^2 = 550
+1^2 + 1^2 + 15^2 + 18^2 = 551
+2^2 + 8^2 + 22^2 = 552
+2^2 + 15^2 + 18^2 = 553
+5^2 + 23^2 = 554
+1^2 + 5^2 + 23^2 = 555
+6^2 + 6^2 + 22^2 = 556
+14^2 + 19^2 = 557
+1^2 + 14^2 + 19^2 = 558
+1^2 + 1^2 + 14^2 + 19^2 = 559
+4^2 + 12^2 + 20^2 = 560
+2^2 + 14^2 + 19^2 = 561
+11^2 + 21^2 = 562
+1^2 + 11^2 + 21^2 = 563
+4^2 + 8^2 + 22^2 = 564
+6^2 + 23^2 = 565
+1^2 + 6^2 + 23^2 = 566
+1^2 + 1^2 + 6^2 + 23^2 = 567
+10^2 + 12^2 + 18^2 = 568
+13^2 + 20^2 = 569
+1^2 + 13^2 + 20^2 = 570
+3^2 + 11^2 + 21^2 = 571
+1^2 + 3^2 + 11^2 + 21^2 = 572
+2^2 + 13^2 + 20^2 = 573
+3^2 + 6^2 + 23^2 = 574
+1^2 + 3^2 + 6^2 + 23^2 = 575
+24^2 = 576
+1^2 + 24^2 = 577
+7^2 + 23^2 = 578
+1^2 + 7^2 + 23^2 = 579
+2^2 + 24^2 = 580
+1^2 + 2^2 + 24^2 = 581
+2^2 + 7^2 + 23^2 = 582
+1^2 + 2^2 + 7^2 + 23^2 = 583
+10^2 + 22^2 = 584
+3^2 + 24^2 = 585
+15^2 + 19^2 = 586
+1^2 + 15^2 + 19^2 = 587
+2^2 + 10^2 + 22^2 = 588
+2^2 + 3^2 + 24^2 = 589
+2^2 + 15^2 + 19^2 = 590
+1^2 + 2^2 + 15^2 + 19^2 = 591
+4^2 + 24^2 = 592
+8^2 + 23^2 = 593
+1^2 + 8^2 + 23^2 = 594
+3^2 + 15^2 + 19^2 = 595
+14^2 + 20^2 = 596
+1^2 + 14^2 + 20^2 = 597
+6^2 + 11^2 + 21^2 = 598
+1^2 + 6^2 + 11^2 + 21^2 = 599
+2^2 + 14^2 + 20^2 = 600
+5^2 + 24^2 = 601
+1^2 + 5^2 + 24^2 = 602
+5^2 + 7^2 + 23^2 = 603
+1^2 + 5^2 + 7^2 + 23^2 = 604
+11^2 + 22^2 = 605
+1^2 + 11^2 + 22^2 = 606
+1^2 + 1^2 + 11^2 + 22^2 = 607
+4^2 + 4^2 + 24^2 = 608
+2^2 + 11^2 + 22^2 = 609
+9^2 + 23^2 = 610
+1^2 + 9^2 + 23^2 = 611
+6^2 + 24^2 = 612
+17^2 + 18^2 = 613
+1^2 + 17^2 + 18^2 = 614
+1^2 + 1^2 + 17^2 + 18^2 = 615
+2^2 + 6^2 + 24^2 = 616
+16^2 + 19^2 = 617
+1^2 + 16^2 + 19^2 = 618
+3^2 + 9^2 + 23^2 = 619
+6^2 + 10^2 + 22^2 = 620
+2^2 + 16^2 + 19^2 = 621
+3^2 + 17^2 + 18^2 = 622
+1^2 + 3^2 + 17^2 + 18^2 = 623
+2^2 + 6^2 + 10^2 + 22^2 = 624
+25^2 = 625
+1^2 + 25^2 = 626
+1^2 + 1^2 + 25^2 = 627
+12^2 + 22^2 = 628
+2^2 + 25^2 = 629
+1^2 + 2^2 + 25^2 = 630
+1^2 + 1^2 + 2^2 + 25^2 = 631
+2^2 + 12^2 + 22^2 = 632
+2^2 + 2^2 + 25^2 = 633
+3^2 + 25^2 = 634
+1^2 + 3^2 + 25^2 = 635
+1^2 + 1^2 + 3^2 + 25^2 = 636
+14^2 + 21^2 = 637
+1^2 + 14^2 + 21^2 = 638
+1^2 + 1^2 + 14^2 + 21^2 = 639
+8^2 + 24^2 = 640
+4^2 + 25^2 = 641
+1^2 + 4^2 + 25^2 = 642
+3^2 + 3^2 + 25^2 = 643
+2^2 + 8^2 + 24^2 = 644
+2^2 + 4^2 + 25^2 = 645
+3^2 + 14^2 + 21^2 = 646
+1^2 + 3^2 + 14^2 + 21^2 = 647
+18^2 + 18^2 = 648
+1^2 + 18^2 + 18^2 = 649
+5^2 + 25^2 = 650
+1^2 + 5^2 + 25^2 = 651
+2^2 + 18^2 + 18^2 = 652
+13^2 + 22^2 = 653
+1^2 + 13^2 + 22^2 = 654
+1^2 + 1^2 + 13^2 + 22^2 = 655
+16^2 + 20^2 = 656
+9^2 + 24^2 = 657
+1^2 + 9^2 + 24^2 = 658
+3^2 + 5^2 + 25^2 = 659
+2^2 + 16^2 + 20^2 = 660
+6^2 + 25^2 = 661
+1^2 + 6^2 + 25^2 = 662
+1^2 + 1^2 + 6^2 + 25^2 = 663
+4^2 + 18^2 + 18^2 = 664
+2^2 + 6^2 + 25^2 = 665
+15^2 + 21^2 = 666
+1^2 + 15^2 + 21^2 = 667
+1^2 + 1^2 + 15^2 + 21^2 = 668
+4^2 + 13^2 + 22^2 = 669
+2^2 + 15^2 + 21^2 = 670
+1^2 + 2^2 + 15^2 + 21^2 = 671
+4^2 + 16^2 + 20^2 = 672
+12^2 + 23^2 = 673
+7^2 + 25^2 = 674
+1^2 + 7^2 + 25^2 = 675
+26^2 = 676
+1^2 + 26^2 = 677
+1^2 + 1^2 + 26^2 = 678
+1^2 + 1^2 + 1^2 + 26^2 = 679
+2^2 + 26^2 = 680
+1^2 + 2^2 + 26^2 = 681
+3^2 + 12^2 + 23^2 = 682
+3^2 + 7^2 + 25^2 = 683
+2^2 + 2^2 + 26^2 = 684
+3^2 + 26^2 = 685
+1^2 + 3^2 + 26^2 = 686
+1^2 + 1^2 + 3^2 + 26^2 = 687
+12^2 + 12^2 + 20^2 = 688
+8^2 + 25^2 = 689
+1^2 + 8^2 + 25^2 = 690
+5^2 + 15^2 + 21^2 = 691
+4^2 + 26^2 = 692
+1^2 + 4^2 + 26^2 = 693
+3^2 + 3^2 + 26^2 = 694
+1^2 + 3^2 + 3^2 + 26^2 = 695
+2^2 + 4^2 + 26^2 = 696
+11^2 + 24^2 = 697
+13^2 + 23^2 = 698
+1^2 + 13^2 + 23^2 = 699
+1^2 + 1^2 + 13^2 + 23^2 = 700
+5^2 + 26^2 = 701
+1^2 + 5^2 + 26^2 = 702
+1^2 + 1^2 + 5^2 + 26^2 = 703
+8^2 + 8^2 + 24^2 = 704
+2^2 + 5^2 + 26^2 = 705
+9^2 + 25^2 = 706
+1^2 + 9^2 + 25^2 = 707
+4^2 + 4^2 + 26^2 = 708
+15^2 + 22^2 = 709
+1^2 + 15^2 + 22^2 = 710
+1^2 + 1^2 + 15^2 + 22^2 = 711
+6^2 + 26^2 = 712
+1^2 + 6^2 + 26^2 = 713
+4^2 + 13^2 + 23^2 = 714
+3^2 + 9^2 + 25^2 = 715
+2^2 + 6^2 + 26^2 = 716
+4^2 + 5^2 + 26^2 = 717
+3^2 + 15^2 + 22^2 = 718
+1^2 + 3^2 + 15^2 + 22^2 = 719
+12^2 + 24^2 = 720
+1^2 + 12^2 + 24^2 = 721
+19^2 + 19^2 = 722
+1^2 + 19^2 + 19^2 = 723
+18^2 + 20^2 = 724
+7^2 + 26^2 = 725
+1^2 + 7^2 + 26^2 = 726
+1^2 + 1^2 + 7^2 + 26^2 = 727
+2^2 + 18^2 + 20^2 = 728
+27^2 = 729
+1^2 + 27^2 = 730
+1^2 + 1^2 + 27^2 = 731
+1^2 + 1^2 + 1^2 + 27^2 = 732
+2^2 + 27^2 = 733
+1^2 + 2^2 + 27^2 = 734
+1^2 + 1^2 + 2^2 + 27^2 = 735
+4^2 + 12^2 + 24^2 = 736
+2^2 + 2^2 + 27^2 = 737
+3^2 + 27^2 = 738
+1^2 + 3^2 + 27^2 = 739
+8^2 + 26^2 = 740
+1^2 + 8^2 + 26^2 = 741
+2^2 + 3^2 + 27^2 = 742
+1^2 + 2^2 + 3^2 + 27^2 = 743
+2^2 + 8^2 + 26^2 = 744
+4^2 + 27^2 = 745
+11^2 + 25^2 = 746
+1^2 + 11^2 + 25^2 = 747
+6^2 + 6^2 + 26^2 = 748
+2^2 + 4^2 + 27^2 = 749
+2^2 + 11^2 + 25^2 = 750
+1^2 + 2^2 + 11^2 + 25^2 = 751
+2^2 + 6^2 + 6^2 + 26^2 = 752
+8^2 + 8^2 + 25^2 = 753
+5^2 + 27^2 = 754
+1^2 + 5^2 + 27^2 = 755
+4^2 + 8^2 + 26^2 = 756
+9^2 + 26^2 = 757
+1^2 + 9^2 + 26^2 = 758
+1^2 + 1^2 + 9^2 + 26^2 = 759
+6^2 + 18^2 + 20^2 = 760
+19^2 + 20^2 = 761
+1^2 + 19^2 + 20^2 = 762
+3^2 + 5^2 + 27^2 = 763
+1^2 + 3^2 + 5^2 + 27^2 = 764
+6^2 + 27^2 = 765
+1^2 + 6^2 + 27^2 = 766
+1^2 + 1^2 + 6^2 + 27^2 = 767
+16^2 + 16^2 + 16^2 = 768
+12^2 + 25^2 = 769
+1^2 + 12^2 + 25^2 = 770
+5^2 + 11^2 + 25^2 = 771
+14^2 + 24^2 = 772
+17^2 + 22^2 = 773
+1^2 + 17^2 + 22^2 = 774
+1^2 + 1^2 + 17^2 + 22^2 = 775
+10^2 + 26^2 = 776
+1^2 + 10^2 + 26^2 = 777
+7^2 + 27^2 = 778
+1^2 + 7^2 + 27^2 = 779
+2^2 + 10^2 + 26^2 = 780
+3^2 + 14^2 + 24^2 = 781
+2^2 + 7^2 + 27^2 = 782
+1^2 + 2^2 + 7^2 + 27^2 = 783
+28^2 = 784
+1^2 + 28^2 = 785
+1^2 + 1^2 + 28^2 = 786
+3^2 + 7^2 + 27^2 = 787
+2^2 + 28^2 = 788
+1^2 + 2^2 + 28^2 = 789
+5^2 + 6^2 + 27^2 = 790
+1^2 + 5^2 + 6^2 + 27^2 = 791
+2^2 + 2^2 + 28^2 = 792
+3^2 + 28^2 = 793
+13^2 + 25^2 = 794
+1^2 + 13^2 + 25^2 = 795
+1^2 + 1^2 + 13^2 + 25^2 = 796
+11^2 + 26^2 = 797
+1^2 + 11^2 + 26^2 = 798
+1^2 + 1^2 + 11^2 + 26^2 = 799
+4^2 + 28^2 = 800
+15^2 + 24^2 = 801
+19^2 + 21^2 = 802
+1^2 + 19^2 + 21^2 = 803
+2^2 + 4^2 + 28^2 = 804
+2^2 + 15^2 + 24^2 = 805
+2^2 + 19^2 + 21^2 = 806
+1^2 + 2^2 + 19^2 + 21^2 = 807
+18^2 + 22^2 = 808
+5^2 + 28^2 = 809
+9^2 + 27^2 = 810
+1^2 + 9^2 + 27^2 = 811
+2^2 + 18^2 + 22^2 = 812
+2^2 + 5^2 + 28^2 = 813
+2^2 + 9^2 + 27^2 = 814
+1^2 + 2^2 + 9^2 + 27^2 = 815
+4^2 + 4^2 + 28^2 = 816
+3^2 + 18^2 + 22^2 = 817
+17^2 + 23^2 = 818
+1^2 + 17^2 + 23^2 = 819
+6^2 + 28^2 = 820
+14^2 + 25^2 = 821
+1^2 + 14^2 + 25^2 = 822
+1^2 + 1^2 + 14^2 + 25^2 = 823
+2^2 + 6^2 + 28^2 = 824
+2^2 + 14^2 + 25^2 = 825
+4^2 + 9^2 + 27^2 = 826
+3^2 + 17^2 + 23^2 = 827
+1^2 + 3^2 + 17^2 + 23^2 = 828
+10^2 + 27^2 = 829
+1^2 + 10^2 + 27^2 = 830
+1^2 + 1^2 + 10^2 + 27^2 = 831
+16^2 + 24^2 = 832
+7^2 + 28^2 = 833
+1^2 + 7^2 + 28^2 = 834
+5^2 + 9^2 + 27^2 = 835
+2^2 + 16^2 + 24^2 = 836
+2^2 + 7^2 + 28^2 = 837
+3^2 + 10^2 + 27^2 = 838
+1^2 + 3^2 + 10^2 + 27^2 = 839
+8^2 + 10^2 + 26^2 = 840
+29^2 = 841
+1^2 + 29^2 = 842
+1^2 + 1^2 + 29^2 = 843
+6^2 + 18^2 + 22^2 = 844
+2^2 + 29^2 = 845
+1^2 + 2^2 + 29^2 = 846
+1^2 + 1^2 + 2^2 + 29^2 = 847
+8^2 + 28^2 = 848
+1^2 + 8^2 + 28^2 = 849
+3^2 + 29^2 = 850
+1^2 + 3^2 + 29^2 = 851
+2^2 + 8^2 + 28^2 = 852
+18^2 + 23^2 = 853
+1^2 + 18^2 + 23^2 = 854
+1^2 + 1^2 + 18^2 + 23^2 = 855
+6^2 + 6^2 + 28^2 = 856
+4^2 + 29^2 = 857
+1^2 + 4^2 + 29^2 = 858
+3^2 + 3^2 + 29^2 = 859
+1^2 + 3^2 + 3^2 + 29^2 = 860
+2^2 + 4^2 + 29^2 = 861
+3^2 + 18^2 + 23^2 = 862
+1^2 + 3^2 + 18^2 + 23^2 = 863
+4^2 + 8^2 + 28^2 = 864
+9^2 + 28^2 = 865
+5^2 + 29^2 = 866
+1^2 + 5^2 + 29^2 = 867
+6^2 + 16^2 + 24^2 = 868
+2^2 + 9^2 + 28^2 = 869
+2^2 + 5^2 + 29^2 = 870
+1^2 + 2^2 + 5^2 + 29^2 = 871
+14^2 + 26^2 = 872
+12^2 + 27^2 = 873
+1^2 + 12^2 + 27^2 = 874
+3^2 + 5^2 + 29^2 = 875
+2^2 + 14^2 + 26^2 = 876
+6^2 + 29^2 = 877
+1^2 + 6^2 + 29^2 = 878
+1^2 + 1^2 + 6^2 + 29^2 = 879
+2^2 + 2^2 + 14^2 + 26^2 = 880
+16^2 + 25^2 = 881
+21^2 + 21^2 = 882
+1^2 + 21^2 + 21^2 = 883
+10^2 + 28^2 = 884
+1^2 + 10^2 + 28^2 = 885
+2^2 + 21^2 + 21^2 = 886
+1^2 + 2^2 + 21^2 + 21^2 = 887
+2^2 + 10^2 + 28^2 = 888
+4^2 + 12^2 + 27^2 = 889
+7^2 + 29^2 = 890
+1^2 + 7^2 + 29^2 = 891
+1^2 + 1^2 + 7^2 + 29^2 = 892
+3^2 + 10^2 + 28^2 = 893
+2^2 + 7^2 + 29^2 = 894
+1^2 + 2^2 + 7^2 + 29^2 = 895
+8^2 + 16^2 + 24^2 = 896
+4^2 + 16^2 + 25^2 = 897
+13^2 + 27^2 = 898
+1^2 + 13^2 + 27^2 = 899
+30^2 = 900
+1^2 + 30^2 = 901
+1^2 + 1^2 + 30^2 = 902
+1^2 + 1^2 + 1^2 + 30^2 = 903
+2^2 + 30^2 = 904
+8^2 + 29^2 = 905
+1^2 + 8^2 + 29^2 = 906
+3^2 + 13^2 + 27^2 = 907
+2^2 + 2^2 + 30^2 = 908
+3^2 + 30^2 = 909
+1^2 + 3^2 + 30^2 = 910
+1^2 + 1^2 + 3^2 + 30^2 = 911
+8^2 + 8^2 + 28^2 = 912
+2^2 + 3^2 + 30^2 = 913
+17^2 + 25^2 = 914
+1^2 + 17^2 + 25^2 = 915
+4^2 + 30^2 = 916
+1^2 + 4^2 + 30^2 = 917
+2^2 + 17^2 + 25^2 = 918
+1^2 + 2^2 + 17^2 + 25^2 = 919
+2^2 + 4^2 + 30^2 = 920
+4^2 + 8^2 + 29^2 = 921
+9^2 + 29^2 = 922
+1^2 + 9^2 + 29^2 = 923
+1^2 + 1^2 + 9^2 + 29^2 = 924
+5^2 + 30^2 = 925
+1^2 + 5^2 + 30^2 = 926
+1^2 + 1^2 + 5^2 + 30^2 = 927
+12^2 + 28^2 = 928
+20^2 + 23^2 = 929
+1^2 + 20^2 + 23^2 = 930
+3^2 + 9^2 + 29^2 = 931
+16^2 + 26^2 = 932
+1^2 + 16^2 + 26^2 = 933
+3^2 + 5^2 + 30^2 = 934
+1^2 + 3^2 + 5^2 + 30^2 = 935
+6^2 + 30^2 = 936
+19^2 + 24^2 = 937
+1^2 + 19^2 + 24^2 = 938
+5^2 + 17^2 + 25^2 = 939
+2^2 + 6^2 + 30^2 = 940
+10^2 + 29^2 = 941
+1^2 + 10^2 + 29^2 = 942
+1^2 + 1^2 + 10^2 + 29^2 = 943
+4^2 + 12^2 + 28^2 = 944
+2^2 + 10^2 + 29^2 = 945
+3^2 + 19^2 + 24^2 = 946
+5^2 + 9^2 + 29^2 = 947
+4^2 + 16^2 + 26^2 = 948
+7^2 + 30^2 = 949
+1^2 + 7^2 + 30^2 = 950
+1^2 + 1^2 + 7^2 + 30^2 = 951
+4^2 + 6^2 + 30^2 = 952
+13^2 + 28^2 = 953
+15^2 + 27^2 = 954
+1^2 + 15^2 + 27^2 = 955
+1^2 + 1^2 + 15^2 + 27^2 = 956
+2^2 + 13^2 + 28^2 = 957
+2^2 + 15^2 + 27^2 = 958
+1^2 + 2^2 + 15^2 + 27^2 = 959
+4^2 + 4^2 + 12^2 + 28^2 = 960
+31^2 = 961
+1^2 + 31^2 = 962
+1^2 + 1^2 + 31^2 = 963
+8^2 + 30^2 = 964
+2^2 + 31^2 = 965
+1^2 + 2^2 + 31^2 = 966
+1^2 + 1^2 + 2^2 + 31^2 = 967
+22^2 + 22^2 = 968
+1^2 + 22^2 + 22^2 = 969
+3^2 + 31^2 = 970
+1^2 + 3^2 + 31^2 = 971
+2^2 + 22^2 + 22^2 = 972
+3^2 + 8^2 + 30^2 = 973
+2^2 + 3^2 + 31^2 = 974
+1^2 + 2^2 + 3^2 + 31^2 = 975
+20^2 + 24^2 = 976
+4^2 + 31^2 = 977
+1^2 + 4^2 + 31^2 = 978
+3^2 + 3^2 + 31^2 = 979
+14^2 + 28^2 = 980
+9^2 + 30^2 = 981
+1^2 + 9^2 + 30^2 = 982
+1^2 + 1^2 + 9^2 + 30^2 = 983
+2^2 + 14^2 + 28^2 = 984
+12^2 + 29^2 = 985
+5^2 + 31^2 = 986
+1^2 + 5^2 + 31^2 = 987
+1^2 + 1^2 + 5^2 + 31^2 = 988
+2^2 + 12^2 + 29^2 = 989
+2^2 + 5^2 + 31^2 = 990
+1^2 + 2^2 + 5^2 + 31^2 = 991
+4^2 + 20^2 + 24^2 = 992
+4^2 + 4^2 + 31^2 = 993
+3^2 + 12^2 + 29^2 = 994
+3^2 + 5^2 + 31^2 = 995
+4^2 + 14^2 + 28^2 = 996
+6^2 + 31^2 = 997
+1^2 + 6^2 + 31^2 = 998
+1^2 + 1^2 + 6^2 + 31^2 = 999
+10^2 + 30^2 = 1000
diff --git a/src/main.jsx b/src/main.jsx
new file mode 100644
index 0000000..8723a09
--- /dev/null
+++ b/src/main.jsx
@@ -0,0 +1,94 @@
+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'))
diff --git a/src/styles.css b/src/styles.css
new file mode 100644
index 0000000..eee4f91
--- /dev/null
+++ b/src/styles.css
@@ -0,0 +1,169 @@
+*,
+*::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;
+    }
+}
diff --git a/tsconfig.json b/tsconfig.json
new file mode 100644
index 0000000..2f5db95
--- /dev/null
+++ b/tsconfig.json
@@ -0,0 +1,30 @@
+{
+    "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"
+    }
+}
diff --git a/vite.config.js b/vite.config.js
new file mode 100644
index 0000000..740f6f7
--- /dev/null
+++ b/vite.config.js
@@ -0,0 +1,16 @@
+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',
+    },
+})