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87 changes: 87 additions & 0 deletions Dynamic Programming/Dijkstra_shortest_path.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,87 @@
import java.util.Scanner;

public class Dijkstra
{
static Scanner scan;

public static void main(String[] args)
{
int[] preD = new int[5];
int min = 999, nextNode = 0;
scan = new Scanner(System.in);
int[] distance = new int[5];
int[][] matrix = new int[5][5];
int[] visited = new int[5];

System.out.println("Enter the cost matrix");

for (int i = 0; i < distance.length; i++)
{
visited[i] = 0;
preD[i] = 0;

for (int j = 0; j < distance.length; j++)
{
matrix[i][j] = scan.nextInt(); //fill the matrix
if (matrix[i][j]==0)
matrix[i][j] = 999; // make the zeros as 999
}
}

distance = matrix[0];
visited[0] = 1;
distance[0] = 0;

for (int counter = 0; counter < 5; counter++)
{
min = 999;
for (int i = 0; i < 5; i++)
{
if (min > distance[i] && visited[i]!=1)
{
min = distance[i];
nextNode = i;
}
}

visited[nextNode] = 1;
for (int i = 0; i < 5; i++)
{
if (visited[i]!=1)
{
if (min+matrix[nextNode][i] < distance[i])
{
distance[i] = min+matrix[nextNode][i];
preD[i] = nextNode;
}

}

}

}

for(int i = 0; i < 5; i++)
System.out.print("|" + distance[i]);

System.out.println("|");

int j;
for (int i = 0; i < 5; i++)
{
if (i!=0)
{

System.out.print("Path = " + i);
j = i;
do
{
j = preD[j];
System.out.print(" <- " + j);
}
while(j != 0);
}
System.out.println();
}
}
}