From 9d328f0f9f2530afd5ad478fd76f0418ed4dadc6 Mon Sep 17 00:00:00 2001
From: Sanjana Bharadwaj <sanjana2002251@gmail.com>
Date: Wed, 5 Oct 2022 09:16:56 +0530
Subject: [PATCH] Added Travelling Salesperson Problem

---
 Dynamic Programming/TSP.java | 65 ++++++++++++++++++++++++++++++++++++
 1 file changed, 65 insertions(+)
 create mode 100644 Dynamic Programming/TSP.java

diff --git a/Dynamic Programming/TSP.java b/Dynamic Programming/TSP.java
new file mode 100644
index 00000000..29277075
--- /dev/null
+++ b/Dynamic Programming/TSP.java	
@@ -0,0 +1,65 @@
+import java.util.Scanner;
+public class TSP{
+public static void main(String[] args) 
+{
+int c[][]=new int[10][10], tour[]=new int[10]; 
+Scanner in = new Scanner(System.in);
+int i, j,cost;
+System.out.println("** TSP DYNAMIC PROGRAMMING ***");
+System.out.println("Enter the number of cities: "); 
+int n = in.nextInt();
+if(n==1)
+{
+System.out.println("Path is not possible"); 
+System.exit(0);
+}
+System.out.println("Enter the cost matrix"); 
+for(i=1;i<=n;i++)
+for(j=1;j<=n;j++)
+c[i][j] = in.nextInt(); 
+System.out.println("The entered cost matrix is"); 
+for(i=1;i<=n;i++)
+{
+for(j=1;j<=n;j++) 
+{ 
+System.out.print(c[i][j]+"\t");
+}
+System.out.println();
+}
+for(i=1;i<=n;i++) 
+tour[i]=i;
+cost = tspdp(c, tour, 1, n); 
+System.out.println("The accurate path is"); 
+for(i=1;i<=n;i++)
+System.out.print(tour[i]+"->"); 
+
+System.out.println("1");
+System.out.println("The accurate mincost is "+cost); 
+System.out.println("*** ***** *****");
+}
+static int tspdp(int c[][], int tour[], int start, int n) 
+{ 
+int mintour[]=new int[10], temp[]=new int[10], mincost=999, ccost, i, j, k;
+if(start == n-1)
+{
+return (c[tour[n-1]][tour[n]] + c[tour[n]][1]);
+}
+for(i=start+1; i<=n; i++) 
+{ 
+    for(j=1; j<=n; j++)
+        temp[j] = tour[j]; 
+    temp[start+1] = tour[i]; 
+    temp[i] = tour[start+1];
+    if((c[tour[start]][tour[i]]+(ccost=tspdp(c,temp,start+1,n)))<mincost)
+    { 
+        mincost = c[tour[start]][tour[i]] + ccost;
+        for(k=1; k<=n; k++) 
+            mintour[k] = temp[k];
+    }
+}
+for(i=1; i<=n; i++) 
+tour[i] = mintour[i]; 
+return mincost;
+}
+}
+