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Created August 5, 2026 20:52
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This repository contains a multi-language implementation of the 0-1 Knapsack problem utilizing space-optimized dynamic programming. The time complexity is O(nW) and space complexity is O(W), where n is the number of items and W is the maximum weight capacity.
Raw
gistfile1.txt
The MIT License (MIT)
Copyright (c) 2026 Jordan Leturgez (https://codepen.io/editor/JCaesar45/pen/019fd3a4-c18a-7cc9-9d3c-ee9c499bc84e)
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
# 0-1 Knapsack Solver
A Pen created on CodePen.
Original URL: [https://codepen.io/editor/JCaesar45/pen/019fd3a4-c18a-7cc9-9d3c-ee9c499bc84e](https://codepen.io/editor/JCaesar45/pen/019fd3a4-c18a-7cc9-9d3c-ee9c499bc84e).
Raw
gistfile2.txt
<!doctype html>
<html lang="en">
<head>
<meta charset="UTF-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<title>0-1 Knapsack Solver</title>
<style>
:root {
--bg-primary: #0a0a0a;
--bg-secondary: #141414;
--accent: #d4af37;
--text-primary: #f5f5f5;
--text-secondary: #a0a0a0;
--border: #2a2a2a;
}
* {
margin: 0;
padding: 0;
box-sizing: border-box;
}
body {
font-family:
"Inter",
-apple-system,
BlinkMacSystemFont,
sans-serif;
background: var(--bg-primary);
color: var(--text-primary);
min-height: 100vh;
display: flex;
align-items: center;
justify-content: center;
padding: 2rem;
}
.container {
width: 100%;
max-width: 1200px;
background: var(--bg-secondary);
border: 1px solid var(--border);
border-radius: 12px;
padding: 3rem;
box-shadow: 0 20px 50px rgba(0, 0, 0, 0.5);
}
h1 {
font-size: 2.5rem;
font-weight: 700;
letter-spacing: -0.02em;
margin-bottom: 0.5rem;
background: linear-gradient(135deg, var(--accent), #fff);
-webkit-background-clip: text;
-webkit-text-fill-color: transparent;
}
.subtitle {
color: var(--text-secondary);
margin-bottom: 2rem;
font-size: 1.1rem;
}
.grid {
display: grid;
grid-template-columns: 1fr 1fr;
gap: 2rem;
}
.panel {
background: var(--bg-primary);
border: 1px solid var(--border);
border-radius: 8px;
padding: 1.5rem;
}
label {
display: block;
font-size: 0.875rem;
font-weight: 500;
color: var(--text-secondary);
margin-bottom: 0.5rem;
text-transform: uppercase;
letter-spacing: 0.05em;
}
textarea,
input {
width: 100%;
background: var(--bg-secondary);
border: 1px solid var(--border);
border-radius: 6px;
padding: 0.75rem;
color: var(--text-primary);
font-family: "Fira Code", monospace;
font-size: 0.9rem;
resize: vertical;
}
textarea {
min-height: 200px;
}
input {
margin-bottom: 1rem;
}
button {
width: 100%;
padding: 1rem;
background: var(--accent);
color: var(--bg-primary);
border: none;
border-radius: 6px;
font-size: 1rem;
font-weight: 600;
cursor: pointer;
transition:
transform 0.2s,
box-shadow 0.2s;
margin-top: 1rem;
}
button:hover {
transform: translateY(-2px);
box-shadow: 0 10px 20px rgba(212, 175, 55, 0.2);
}
.result {
margin-top: 2rem;
padding: 1.5rem;
background: var(--bg-primary);
border: 1px solid var(--accent);
border-radius: 8px;
text-align: center;
}
.result-value {
font-size: 3rem;
font-weight: 700;
color: var(--accent);
}
@media (max-width: 768px) {
.grid {
grid-template-columns: 1fr;
}
}
</style>
</head>
<body>
<div class="container">
<h1>0-1 Knapsack Algorithm</h1>
<p class="subtitle">Dynamic Programming Optimization Engine</p>
<div class="grid">
<div class="panel">
<label for="items">Items (JSON Array)</label>
<textarea id="items">
[{"name":"map","weight":9,"value":150},{"name":"compass","weight":13,"value":35},{"name":"water","weight":153,"value":200},{"name":"sandwich","weight":50,"value":160},{"name":"glucose","weight":15,"value":60}]</textarea>
<label for="maxweight">Maximum Weight Capacity</label>
<input type="number" id="maxweight" value="100" />
<button id="solve">Execute Algorithm</button>
</div>
<div class="panel">
<label>Execution Output</label>
<div
id="output"
style="
font-family: &quot;Fira Code&quot;, monospace;
font-size: 0.9rem;
color: var(--text-secondary);
white-space: pre-wrap;
min-height: 200px;
"
>
Awaiting execution parameters...
</div>
</div>
</div>
<div class="result" id="result" style="display: none">
<label>Maximum Achievable Value</label>
<div class="result-value" id="result-value">0</div>
</div>
</div>
<script>
document.getElementById("solve").addEventListener("click", () => {
const outputEl = document.getElementById("output");
const resultEl = document.getElementById("result");
const resultValueEl = document.getElementById("result-value");
try {
const items = JSON.parse(document.getElementById("items").value);
const maxWeight = parseInt(
document.getElementById("maxweight").value,
10
);
if (!Array.isArray(items) || isNaN(maxWeight)) {
throw new Error(
"Invalid input parameters. Items must be an array and max weight must be an integer."
);
}
const startTime = performance.now();
const dp = new Array(maxWeight + 1).fill(0);
for (let i = 0; i < items.length; i++) {
const weight = items[i].weight;
const value = items[i].value;
if (typeof weight !== "number" || typeof value !== "number") {
throw new Error(
`Item at index ${i} has invalid weight or value types.`
);
}
for (let w = maxWeight; w >= weight; w--) {
dp[w] = Math.max(dp[w], dp[w - weight] + value);
}
}
const endTime = performance.now();
const executionTime = (endTime - startTime).toFixed(3);
outputEl.textContent = `Status: SUCCESS\nItems processed: ${items.length}\nCapacity: ${maxWeight}\nExecution time: ${executionTime} ms\nAlgorithm: 1D Dynamic Programming (Space Optimized)`;
resultValueEl.textContent = dp[maxWeight];
resultEl.style.display = "block";
} catch (error) {
outputEl.textContent = `Status: ERROR\nMessage: ${error.message}`;
resultEl.style.display = "none";
}
});
</script>
</body>
</html>
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