Some directories had a capital in their name [fixed]. Added a recursive factorial algorithm. (#763)

* Renaming directories
* Adding a recursive factorial algorithm

graphs/bellman_ford.py

@@ -0,0 +1,54 @@
+from __future__ import print_function
+
+def printDist(dist, V):
+	print("\nVertex Distance")
+	for i in range(V):
+		if dist[i] != float('inf') :
+			print(i,"\t",int(dist[i]),end = "\t")
+		else:
+			print(i,"\t","INF",end="\t")
+		print()
+
+def BellmanFord(graph, V, E, src):
+	mdist=[float('inf') for i in range(V)]
+	mdist[src] = 0.0
+	
+	for i in range(V-1):
+		for j in range(V):
+			u = graph[j]["src"]
+			v = graph[j]["dst"]
+			w = graph[j]["weight"]
+
+			if mdist[u] != float('inf') and mdist[u] + w < mdist[v]:
+				mdist[v] = mdist[u] + w 
+	for j in range(V):
+			u = graph[j]["src"]
+			v = graph[j]["dst"]
+			w = graph[j]["weight"]
+
+			if mdist[u] != float('inf') and mdist[u] + w < mdist[v]:
+				print("Negative cycle found. Solution not possible.")
+				return
+	
+	printDist(mdist, V)	
+
+			
+
+#MAIN
+V = int(input("Enter number of vertices: "))
+E = int(input("Enter number of edges: "))
+
+graph = [dict() for j in range(E)]
+
+for i in range(V):
+	graph[i][i] = 0.0
+
+for i in range(E):
+	print("\nEdge ",i+1)
+	src = int(input("Enter source:"))
+	dst = int(input("Enter destination:"))
+	weight = float(input("Enter weight:"))
+	graph[i] = {"src": src,"dst": dst, "weight": weight}
+	
+gsrc = int(input("\nEnter shortest path source:"))
+BellmanFord(graph, V, E, gsrc)