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77 changes: 77 additions & 0 deletions C++ Codes/Dijkstras_Algorithm
Original file line number Diff line number Diff line change
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#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;
}