Merge branch 'master' into DoubleLinkedListC

Author: Monik09

Disjoint_union_set/Disjoint_union_set.c

@@ -0,0 +1,67 @@
+#include <stdio.h>
+#include <stdlib.h>
+int find(int a, int parent[]) // recursive function to find parent of a
+{
+	if (parent[a] == a) // if root itself is a parent
+		return a;
+	else
+		return find(parent[a], parent); // to find the parent of the parent
+}
+
+void unionn(int a, int b, int parent[], int rank[]) // function to do unionn of a and b
+{
+	int a1 = find(a, parent); // to find parent of a
+	int b1 = find(b, parent); // to find parent of b
+	if (a1 == b1)			  // if both have same parent that is both are in same set
+	{
+		printf("both the elements are in same set\n");
+		return;
+	}
+	if (rank[a1] > rank[b1]) // if height of parent of a is greater than height of parent of b
+	{
+		parent[b1] = a1;
+	}
+	else if (rank[a1] < rank[b1]) // if height of parent of b is greater than height of parent of a
+	{
+		parent[a1] = b1;
+	}
+	else // if height of both parent is same
+	{
+		parent[a1] = b1;
+		rank[b1]++;
+	}
+}
+int main()
+{
+	int n = 10;
+	int parent[n];
+	int rank[n];
+
+	for (int i = 0; i < 10; i++)
+		parent[i] = i; // in starting the node is itself the parent
+	for (int i = 0; i < 10; i++)
+		rank[i] = 1; // by default the rank of all nodes is 1
+
+	unionn(3, 8, parent, rank); // 3 is friend of 8
+	unionn(3, 6, parent, rank); // 3 is friend of 6
+	printf("the parent of 8 is %d\n", find(8, parent));
+
+	unionn(1, 9, parent, rank); // 1 is friend of 9
+	unionn(2, 8, parent, rank); // 2 is friend of 8
+	unionn(5, 8, parent, rank); // 5 is friend of 8
+
+	unionn(2, 9, parent, rank); // 2 is friend of 9
+	printf("the parent of 2 is %d\n", find(2, parent));
+	printf("the parent of 8 is%d\n", find(8, parent));
+
+	if (find(5, parent) == find(7, parent)) // to check whether 5 is friend of 7 or not
+		printf("5 is a friend of 7\n");
+	else
+		printf("5 is not a friend of 7\n");
+	if (find(3, parent) == find(1, parent)) // to check whether 3 is friend of 1 or not
+		printf("3 is a friend of 1\n");
+	else
+		printf("3 is not a friend of 1\n");
+
+	return 0;
+}