Create problem24

Author: rmkcodingclub

problem24

@@ -0,0 +1,129 @@
+//By Manigandan, ECE
+
+#include<stdio.h>
+
+#include<stdlib.h>
+
+struct node
+
+{
+
+int data;
+
+ struct node* left, *right;
+
+};
+
+ 
+
+struct node *lca(struct node* root, int n1, int n2)
+
+{
+
+    if (root == NULL) return NULL;
+
+ 
+
+    // If both n1 and n2 are smaller than root, then LCA lies in left
+
+    if (root->data > n1 && root->data > n2)
+
+        return lca(root->left, n1, n2);
+
+ 
+
+    // If both n1 and n2 are greater than root, then LCA lies in right
+
+    if (root->data < n1 && root->data < n2) 
+
+        return lca(root->right, n1, n2);
+
+ 
+
+    return root;
+
+}
+
+ 
+
+/* Helper function that allocates a new node with the given data.*/
+
+struct node* newNode(int data)
+
+{
+
+    struct node* node = (struct node*)malloc(sizeof(struct node));
+
+    node->data  = data;
+
+    node->left  = node->right = NULL;
+
+    return(node);
+
+}
+
+  
+
+Program to check the same
+
+Consider the binary tree shown
+
+int main()
+
+{
+
+    // Let us construct the BST shown in the above figure
+
+    struct node *root        = newNode(20);
+
+    root->left               = newNode(8);
+
+    root->right              = newNode(22);
+
+    root->left->left         = newNode(4);
+
+    root->left->right        = newNode(12);
+
+    root->left->right->left  = newNode(10);
+
+    root->left->right->right = newNode(14);
+
+ 
+
+    int n1 = 10, n2 = 14;
+
+    struct node *t = lca(root, n1, n2); 
+
+    printf("LCA of %d and %d is %d \n", n1, n2, t->data);
+
+ 
+
+    n1 = 14, n2 = 8;
+
+    t = lca(root, n1, n2);
+
+    printf("LCA of %d and %d is %d \n", n1, n2, t->data);
+
+ 
+
+    n1 = 10, n2 = 22;
+
+    t = lca(root, n1, n2);
+
+    printf("LCA of %d and %d is %d \n", n1, n2, t->data);
+
+ 
+
+    getchar();
+
+    return 0;
+
+} 
+
+Expected Output:
+
+LCA of 10 and 14 is 12
+
+LCA of 14 and 8 is 8
+
+LCA of 10 and 22 is 20