{"id":11328,"date":"2025-12-23T11:47:38","date_gmt":"2025-12-23T06:17:38","guid":{"rendered":"https:\/\/namastedev.com\/blog\/?p=11328"},"modified":"2026-01-11T20:13:21","modified_gmt":"2026-01-11T14:43:21","slug":"floyd-warshall-code","status":"publish","type":"post","link":"https:\/\/namastedev.com\/blog\/floyd-warshall-code\/","title":{"rendered":"Floyd Warshall Code"},"content":{"rendered":"\n<!-- Shortest Path in unweighted graph -->\n<!-- PrismJS for Syntax Highlighting -->\n<link href=\"https:\/\/cdn.jsdelivr.net\/npm\/prismjs@1.29.0\/themes\/prism-tomorrow.min.css\" rel=\"stylesheet\">\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/prismjs@1.29.0\/prism.min.js\"><\/script>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/prismjs@1.29.0\/plugins\/autoloader\/prism-autoloader.min.js\"><\/script>\n\n<style>\n.wp_blog_theme {\n  --primary: #E58C32;\n  --secondary: #030302;\n  --light-bg: #fef9f4;\n  --text-dark: #2d2d2d;\n  --tab-radius: 12px;\n  --shadow: 0 4px 12px rgba(0, 0, 0, 0.08);\n  --code-bg: #001f3f;\n  --code-text: #d4f1ff;\n}\n\n.wp_blog_container {\n  font-family: 'Segoe UI', sans-serif;\n  background: var(--light-bg);\n  margin: 0;\n  padding: 0;\n  color: var(--text-dark);\n}\n\n\/* Heading *\/\n.wp_blog_main-heading {\n  text-align: center;\n  font-size: 2.4rem;\n  color: var(--primary);\n  margin-top: 2.5rem;\n  font-weight: bold;\n}\n\n\/* Explanation Card *\/\n.wp_blog_explanation,\n.wp_blog_code-tabs-container {\n  max-width: 940px;\n  margin: 2rem auto;\n  padding: 2rem;\n  background: white;\n  border-radius: var(--tab-radius);\n  box-shadow: var(--shadow);\n}\n\n\/* Text and Visuals *\/\n.wp_blog_explanation h2 {\n  font-size: 1.4rem;\n  color: var(--primary);\n  margin-bottom: 0.5rem;\n}\n\n.wp_blog_explanation p,\n.wp_blog_explanation li {\n  font-size: 1.05rem;\n  line-height: 1.7;\n  margin: 0.5rem 0;\n}\n\n.wp_blog_explanation code {\n  background: #fef9f4; 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\/* makes it the reference for absolute children *\/\n}\n\n.wp_blog_toggle-btn {\n  position: absolute;\n  top: 1rem;\n  right: 1rem;\n  z-index: 9999;\n  padding: 0.5rem 0.8rem;\n  border-radius: 10%;\n  background: var(--primary);\n  color: white;\n  font-weight: bold;\n  cursor: pointer;\n  border: none;\n  box-shadow: var(--shadow);\n  transition: background 0.3s, transform 0.2s;\n}\n\n.wp_blog_toggle-btn:hover {\n  background: #cc772e;\n}\n\n.wp_blog_theme.dark-mode .wp_blog_code-tabs-container {\n  background: #1e1e1e;\n}\n<\/style>\n\n<div class=\"wp_blog_container wp_blog_theme\">\n  <button id=\"blogNotesThemeToggle\" class=\"wp_blog_toggle-btn\">\ud83c\udf19<\/button>\n  <h1 class=\"wp_blog_main-heading\"><\/h1>\n\n  <div class=\"wp_blog_explanation\">\n    <h2>Floyd Warshall &#8211; Code<\/h2>\n    <h2>Code<\/h2>\n      <div class=\"wp_blog_code-tabs-container\">\n      <div class=\"wp_blog_code-tabs-header\">\n      <button class=\"wp_blog_code-tab-button active\" data-lang=\"js\">JavaScript<\/button>\n      <button class=\"wp_blog_code-tab-button\" data-lang=\"py\">Python<\/button>\n      <button class=\"wp_blog_code-tab-button\" data-lang=\"java\">Java<\/button>\n      <button class=\"wp_blog_code-tab-button\" data-lang=\"cpp\">C++<\/button>\n      <button class=\"wp_blog_code-tab-button\" data-lang=\"c\">C<\/button>\n      <button class=\"wp_blog_code-tab-button\" data-lang=\"cs\">C#<\/button>\n    <\/div>\n    <div class=\"wp_blog_code-tab-content active\" data-lang=\"js\">\n      <pre>\nfunction floydWarshall(V, edges) {\n    \/\/ Initial dist array\n    const dist = Array.from({ length: V }, (_, i) =>\n        Array.from({ length: V }, (_, j) => (i === j ? 0 : Infinity))\n    );\n\n    \/\/ Fill initial distances from edges\n    for (let [i, j, w] of edges) {\n        dist[i][j] = w;\n    }\n\n    \/\/ Floyd-Warshall algorithm\n    for (let k = 0; k < V; k++) {\n        for (let i = 0; i < V; i++) {\n            for (let j = 0; j < V; j++) {\n                dist[i][j] = Math.min(\n                    dist[i][k] + dist[k][j],\n                    dist[i][j]\n                );\n            }\n        }\n    }\n\n    return dist;\n}\n\nconst edges = [\n    [0, 1, 2],\n    [1, 0, 7],\n    [1, 2, 3],\n    [2, 1, 8],\n    [2, 3, 2],\n    [3, 0, 1],\n    [3, 1, 5]\n];\n\nconsole.log(floydWarshall(4, edges));\n\n      <\/pre>\n    <\/div>\n\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"py\">\n    <pre>\ndef floyd_warshall(V, edges):\n    # Initialize distance matrix\n    dist = [[0 if i == j else float('inf') for j in range(V)] for i in range(V)]\n\n    for u, v, w in edges:\n        dist[u][v] = w\n\n    for k in range(V):\n        for i in range(V):\n            for j in range(V):\n                dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j])\n\n    return dist\n\nedges = [\n    (0, 1, 2),\n    (1, 0, 7),\n    (1, 2, 3),\n    (2, 1, 8),\n    (2, 3, 2),\n    (3, 0, 1),\n    (3, 1, 5)\n]\n\nprint(floyd_warshall(4, edges))\n    <\/pre>  \n    <\/div>\n\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"java\">\n    <pre>\nimport java.util.*;\n\nclass Solution {\n\n    static int[][] floydWarshall(int V, int[][] edges) {\n        int INF = (int) 1e9;\n        int[][] dist = new int[V][V];\n\n        \/\/ Initialize\n        for (int i = 0; i < V; i++) {\n            Arrays.fill(dist[i], INF);\n            dist[i][i] = 0;\n        }\n\n        for (int[] e : edges) {\n            dist[e[0]][e[1]] = e[2];\n        }\n\n        for (int k = 0; k < V; k++) {\n            for (int i = 0; i < V; i++) {\n                for (int j = 0; j < V; j++) {\n                    if (dist[i][k] < INF &#038;&#038; dist[k][j] < INF)\n                        dist[i][j] = Math.min(dist[i][j], dist[i][k] + dist[k][j]);\n                }\n            }\n        }\n        return dist;\n    }\n\n    public static void main(String[] args) {\n        int[][] edges = {\n            {0, 1, 2},\n            {1, 0, 7},\n            {1, 2, 3},\n            {2, 1, 8},\n            {2, 3, 2},\n            {3, 0, 1},\n            {3, 1, 5}\n        };\n\n        int[][] res = floydWarshall(4, edges);\n        for (int[] row : res)\n            System.out.println(Arrays.toString(row));\n    }\n}\n    <\/pre>\n    <\/div>\n\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"cpp\">\n  <pre>\n#include &lt;bits\/stdc++.h&gt;\nusing namespace std;\n\nvector<vector<int>> floydWarshall(int V, vector<vector<int>>& edges) {\n    const int INF = 1e9;\n    vector<vector<int>> dist(V, vector<int>(V, INF));\n\n    for (int i = 0; i < V; i++)\n        dist[i][i] = 0;\n\n    for (auto &#038;e : edges)\n        dist[e[0]][e[1]] = e[2];\n\n    for (int k = 0; k < V; k++)\n        for (int i = 0; i < V; i++)\n            for (int j = 0; j < V; j++)\n                if (dist[i][k] < INF &#038;&#038; dist[k][j] < INF)\n                    dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]);\n\n    return dist;\n}\n\nint main() {\n    vector<vector<int>> edges = {\n        {0,1,2},{1,0,7},{1,2,3},\n        {2,1,8},{2,3,2},{3,0,1},{3,1,5}\n    };\n\n    auto res = floydWarshall(4, edges);\n    for (auto &row : res) {\n        for (int x : row) cout << x << \" \";\n        cout << endl;\n    }\n}\n  <\/pre>\n    <\/div>\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"c\">\n      <pre>\n#include &lt;stdio.h&gt;\n#include &lt;limits.h&gt;\n\n#define V 4\n#define INF 1000000000\n\nint main() {\n    int dist[V][V];\n\n    \/\/ Initialize\n    for (int i = 0; i < V; i++) {\n        for (int j = 0; j < V; j++) {\n            dist[i][j] = (i == j) ? 0 : INF;\n        }\n    }\n\n    int edges[][3] = {\n        {0, 1, 2},\n        {1, 0, 7},\n        {1, 2, 3},\n        {2, 1, 8},\n        {2, 3, 2},\n        {3, 0, 1},\n        {3, 1, 5}\n    };\n\n    int E = 7;\n    for (int i = 0; i < E; i++) {\n        dist[edges[i][0]][edges[i][1]] = edges[i][2];\n    }\n\n    for (int k = 0; k < V; k++)\n        for (int i = 0; i < V; i++)\n            for (int j = 0; j < V; j++)\n                if (dist[i][k] < INF &#038;&#038; dist[k][j] < INF &#038;&#038;\n                    dist[i][k] + dist[k][j] < dist[i][j])\n                    dist[i][j] = dist[i][k] + dist[k][j];\n\n    for (int i = 0; i < V; i++) {\n        for (int j = 0; j < V; j++)\n            printf(\"%d \", dist[i][j]);\n        printf(\"\\n\");\n    }\n    return 0;\n}\n<\/pre>\n    <\/div>\n\n    <div class=\"wp_blog_code-tab-content\" data-lang=\"cs\">\n    <pre>\nusing System;\n\nclass Solution {\n    static int[,] FloydWarshall(int V, int[,] edges) {\n        int INF = 1000000000;\n        int[,] dist = new int[V, V];\n\n        for (int i = 0; i < V; i++) {\n            for (int j = 0; j < V; j++) {\n                dist[i, j] = (i == j) ? 0 : INF;\n            }\n        }\n\n        int E = edges.GetLength(0);\n        for (int i = 0; i < E; i++) {\n            dist[edges[i, 0], edges[i, 1]] = edges[i, 2];\n        }\n\n        for (int k = 0; k < V; k++)\n            for (int i = 0; i < V; i++)\n                for (int j = 0; j < V; j++)\n                    if (dist[i, k] < INF &#038;&#038; dist[k, j] < INF)\n                        dist[i, j] = Math.Min(dist[i, j], dist[i, k] + dist[k, j]);\n\n        return dist;\n    }\n\n    static void Main() {\n        int[,] edges = {\n            {0,1,2},\n            {1,0,7},\n            {1,2,3},\n            {2,1,8},\n            {2,3,2},\n            {3,0,1},\n            {3,1,5}\n        };\n\n        var res = FloydWarshall(4, edges);\n        for (int i = 0; i < 4; i++) {\n            for (int j = 0; j < 4; j++)\n                Console.Write(res[i, j] + \" \");\n            Console.WriteLine();\n        }\n    }\n}\n<\/pre>\n    <\/div>\n  <\/div>\n    <h2>Time Complexity: <code>O(V<sup>3<\/sup>)<\/code><\/h2>\n    <h2>Space Complexity: <code>O(V<sup>2<\/sup>)<\/code><\/h2>\n<\/div>  \n<\/div>\n<script>\ndocument.addEventListener(\"DOMContentLoaded\", () => {\n  const buttons = document.querySelectorAll(\".wp_blog_code-tab-button\");\n  const contents = document.querySelectorAll(\".wp_blog_code-tab-content\");\n\n  buttons.forEach((button) => {\n    button.addEventListener(\"click\", () => {\n      const lang = button.getAttribute(\"data-lang\");\n\n      buttons.forEach((btn) => btn.classList.remove(\"active\"));\n      contents.forEach((content) => content.classList.remove(\"active\"));\n\n      button.classList.add(\"active\");\n      document\n        .querySelector(`.wp_blog_code-tab-content[data-lang=\"${lang}\"]`)\n        .classList.add(\"active\");\n    });\n  });\n\n  const themeToggle = document.getElementById(\"blogNotesThemeToggle\");\n  const themeContainer = document.querySelector(\".wp_blog_theme\");\n\n  themeToggle.addEventListener(\"click\", () => {\n    themeContainer.classList.toggle(\"dark-mode\");\n    themeToggle.textContent =\n      themeContainer.classList.contains(\"dark-mode\") ? \"\u2600\ufe0f\" : \"\ud83c\udf19\";\n  });\n});\n<\/script>\n\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\ud83c\udf19 Floyd Warshall &#8211; 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