From 992a86d540cdc4521aee6d399700304f6931104b Mon Sep 17 00:00:00 2001
From: Hitanshu123 <56292516+Hitanshu123@users.noreply.github.com>
Date: Fri, 28 Oct 2022 00:30:45 +0530
Subject: [PATCH] Dijkstras Algorithm

C++ code
---
 C++ Codes/Dijkstras_Algorithm | 77 +++++++++++++++++++++++++++++++++++
 1 file changed, 77 insertions(+)
 create mode 100644 C++ Codes/Dijkstras_Algorithm

diff --git a/C++ Codes/Dijkstras_Algorithm b/C++ Codes/Dijkstras_Algorithm
new file mode 100644
index 0000000..c5ab450
--- /dev/null
+++ b/C++ Codes/Dijkstras_Algorithm	
@@ -0,0 +1,77 @@
+#include<iostream>
+#include<climits>
+using namespace std;
+
+
+int findMinVertex(int* distance, bool* visited, int n){
+
+	int minVertex = -1;
+	for(int i = 0; i < n; i++){
+		if(!visited[i] && (minVertex == -1 ||  distance[i] < distance[minVertex])){
+			minVertex = i;
+		}
+	}
+	return minVertex;
+}
+
+void dijkstra(int** edges, int n){
+	int* distance = new int[n];
+	bool* visited = new bool[n];
+
+	for(int i = 0; i < n; i++){
+		distance[i] = INT_MAX;
+		visited[i] = false;
+	}
+
+	distance[0] = 0;
+
+	for(int i = 0; i < n - 1; i++){
+		int minVertex = findMinVertex(distance, visited, n);
+		visited[minVertex] = true;
+		for(int j = 0; j < n; j++){	
+			if(edges[minVertex][j] != 0 && !visited[j]){
+				int dist = distance[minVertex] + edges[minVertex][j];
+				if(dist < distance[j]){
+					distance[j] = dist;
+				}
+			}
+		}
+	}
+
+	for(int i = 0; i < n; i++){
+		cout << i << " " << distance[i] << endl;
+	}
+	delete [] visited;
+	delete [] distance;
+	
+}
+
+int main() {
+	int n;
+	int e;
+	cin >> n >> e;
+	int** edges = new int*[n];
+	for (int i = 0; i < n; i++) {
+		edges[i] = new int[n];
+		for (int j = 0; j < n; j++) {
+			edges[i][j] = 0;
+		}
+	}
+
+	for (int i = 0; i < e; i++) {
+		int f, s, weight;
+		cin >> f >> s >> weight;
+		edges[f][s] = weight;
+		edges[s][f] = weight;
+	}
+	cout << endl;
+	dijkstra(edges, n);
+
+	for (int i = 0; i < n; i++) {
+		delete [] edges[i];
+	}
+	delete [] edges;
+}
+
+
+