Sum of subsets (#9)

* Create Code.java

* Create README.md

Author: sandeepsj

Backtracking/Sum of subsets/Code.java

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+// import visualization libraries {
+import org.algorithm_visualizer.*;
+import java.util.Random;
+// }
+
+class Main {
+    // define tracer variables {
+    Array1DTracer array1dTracer = new Array1DTracer("Set");
+    LogTracer logTracer = new LogTracer("Console");
+    // }
+
+    // define input variables
+    int n;
+    int s[];
+    int d;
+    
+    void solve()
+	{
+		int[] sel=new int[n+1];
+		int k=0,sum=0,found=0;
+		sel[0]=1;
+		array1dTracer.select(k);
+		Tracer.delay();
+		while(true) {
+			if(k<n && sel[k]==1) {
+				if(sum+s[k]==d)
+				{
+					found=1;
+					logTracer.print("{");
+					for(int i=0;i<n;i++)
+						if(sel[i]==1)
+							logTracer.print(s[i]+"  ");
+					logTracer.println("}");
+					sel[k]=0;
+					Tracer.delay();
+					array1dTracer.deselect(k);
+					Tracer.delay();
+				}
+				else if(sum+s[k]<d)
+					sum+=s[k];
+				else{
+					sel[k]=0;
+					array1dTracer.deselect(k);
+					Tracer.delay();
+				}
+			}
+			else
+			{
+				k--;
+				while(k>=0 && sel[k]==0)
+					k--;
+				if(k<0)
+					break;
+				sel[k]=0;
+				array1dTracer.deselect(k);
+				Tracer.delay();
+				sum-=s[k];
+			}
+			k++;
+			if(k<n){
+			    sel[k]=1;
+			    array1dTracer.select(k);
+			    Tracer.delay();
+			}
+		}
+		if(found==0)
+			logTracer.println("Not possible subsets");
+	}
+
+    Main() {
+        // visualize {
+        Layout.setRoot(new VerticalLayout(new Commander[]{array1dTracer, logTracer}));
+        Tracer.delay();
+        // }
+		n=10;
+		//Randomizing the array{
+		s=new int[n];
+		Random r=new Random();
+		for(int i=0;i<n;i++)
+		    s[i]=r.nextInt(30);
+		d=r.nextInt(100);
+		//}
+		
+		logTracer.print("The Given set is: ");
+		for(int x:s)
+		    logTracer.print(x+",");
+		logTracer.println("\nDesired sum is:"+d);
+		logTracer.println("The possible subsets of sum "+d+" are: ");
+		array1dTracer.set(s);
+		Tracer.delay();
+		solve();
+    }
+
+    public static void main(String[] args) {
+        new Main();
+    }
+}

Backtracking/Sum of subsets/README.md

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+
+# Sum of Subset using  BackTracking
+
+
+
+
+
+
+## References
+-[Geeksforgeeks](https://www.geeksforgeeks.org/subset-sum-problem-dp-25/)