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60 changes: 60 additions & 0 deletions Trees/kthMinimumElement.cpp
Original file line number Diff line number Diff line change
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// from a given BST, the program will find out the kth smallest element (hardcoded)

#include <bits/stdc++.h>
using namespace std;

struct node
{
int key;
struct node *left, *right;
};

struct node *newNode(int item)
{
struct node *temp = (struct node *)malloc(sizeof(struct node));
temp->key = item;
temp->left = temp->right = NULL;
return temp;
}
struct node *insert(struct node *node, int key)
{
if (node == NULL)
return newNode(key);

if (key < node->key)
node->left = insert(node->left, key);
else if (key > node->key)
node->right = insert(node->right, key);

return node;
}
void saveNode(struct node *root, vector<struct node *> &nodes)
{
if (root == NULL)
return;

saveNode(root->left, nodes);
nodes.push_back(root);
saveNode(root->right, nodes);
}

int findKthMin(struct node *root, int k)
{
vector<struct node *> nodes;
saveNode(root, nodes);

return nodes[k - 1]->key;
}

int main()
{
int k = 1;
struct node *root = NULL;
root = insert(root, 5);
insert(root, 2);
insert(root, 1);
insert(root, 9);
insert(root, 5);
insert(root, 8);
cout << "The " << k << "st smallest element in Binary search tree is " << findKthMin(root, k);
}