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Addition of C++ code for Floyd Warshall #80

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62 changes: 62 additions & 0 deletions FloydWarshall.cpp
Original file line number Diff line number Diff line change
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//Constructed in C++14
#include <iostream>
#define INF 1000000007 //Consider that this is the maximum possible cost you can have
using namespace std;
int main()
{
int nodes,edges;

cout<<"Enter the total number of nodes: ";
cin>>nodes; //Enter the number of nodes

cout<<"Enter the total number of edges: ";
cin>>edges; //Enter the number of edges

int dist[nodes+1][nodes+1]; //Declaration of a dist as adjoint matrix representation

for(int i=0;i<=nodes;i++)
for(int j=0;j<=nodes;j++)
dist[i][j]=INF; //Initialising distance cost to infinity

cout<<"Enter the edges in this format: <node1> <space> <node2> <space> <cost>"<<endl;
//Please follow the input format and remember nodes are numbered from "1" to the input value "nodes"

for(int i=0;i<edges;i++)
{
int x,y,z;
cin>>x>>y>>z;
dist[x][y]=z; //Assigning the input values
}

//The main algorithm begins here

for(int k=1;k<=nodes;k++)
{
// Pick all nodes as source one by one
for(int i=1;i<=nodes;i++)
{
// Pick all nodes as destination for the above picked source
for(int j=1;j<=nodes;j++)
{
// If node k is on the shortest path from i to j, then update the value of dist[i][j]
if (dist[i][k] + dist[k][j] < dist[i][j])
dist[i][j] = dist[i][k] + dist[k][j];
}
}
}

//Now we print the respective all pairs' shortest path distances
cout<<endl<<"The following matrix shows the shortest distances between every pair of nodes"<<endl;
for(int i=1;i<=nodes;i++)
{
for(int j=1;j<=nodes;j++)
{
if (dist[i][j]==INF)
cout<<j<<" can never be reached from "<<i<<endl;
else
cout<<"Distance from "<<i<<" to "<<j<<" is "<<dist[i][j]<<endl;
}
}

return 0;
}
89 changes: 89 additions & 0 deletions Prim.cpp
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#include <limits.h>
#include <stdbool.h>
#include <stdio.h>
#define V 5

// A utility function to find the vertex with
// minimum key value, from the set of vertices
// not yet included in MST
int minKey(int key[], bool mstSet[])
{
// Initialize min value
int min = INT_MAX, min_index;

for (int v = 0; v < V; v++)
if (mstSet[v] == false && key[v] < min)
min = key[v], min_index = v;

return min_index;
}

int printMST(int parent[], int graph[V][V])
{
printf("Edge \tWeight\n");
for (int i = 1; i < V; i++)
printf("%d - %d \t%d \n", parent[i], i, graph[i][parent[i]]);
}

// Function to construct and print MST for
// a graph represented using adjacency
// matrix representation
void primMST(int graph[V][V])
{
// Array to store constructed MST
int parent[V];
// Key values used to pick minimum weight edge in cut
int key[V];
// To represent set of vertices not yet included in MST
bool mstSet[V];

// Initialize all keys as INFINITE
for (int i = 0; i < V; i++)
key[i] = INT_MAX, mstSet[i] = false;

// Always include first 1st vertex in MST.
// Make key 0 so that this vertex is picked as first vertex.
key[0] = 0;
parent[0] = -1; // First node is always root of MST

// The MST will have V vertices
for (int count = 0; count < V - 1; count++) {
// Pick the minimum key vertex from the
// set of vertices not yet included in MST
int u = minKey(key, mstSet);

// Add the picked vertex to the MST Set
mstSet[u] = true;

// Update key value and parent index of
// the adjacent vertices of the picked vertex.
// Consider only those vertices which are not
// yet included in MST
for (int v = 0; v < V; v++)

// graph[u][v] is non zero only for adjacent vertices of m
// mstSet[v] is false for vertices not yet included in MST
// Update the key only if graph[u][v] is smaller than key[v]
if (graph[u][v] && mstSet[v] == false && graph[u][v] < key[v])
parent[v] = u, key[v] = graph[u][v];
}

// print the constructed MST
printMST(parent, graph);
}

// to test
int main()
{
/* Let us create the following graph */
int graph[V][V] = { { 0, 2, 0, 6, 0 },
{ 2, 0, 3, 8, 5 },
{ 0, 3, 0, 0, 7 },
{ 6, 8, 0, 0, 9 },
{ 0, 5, 7, 9, 0 } };


primMST(graph);

return 0;
}
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