merge k sorted lists

66

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

struct Node {
	int data;
	struct Node* next;
};

struct Node* newNode(int data) {
	struct Node* new_node = new Node();
	new_node->data = data;
	new_node->next = NULL;

	return new_node;
}

// 'compare' function used to build
// up the priority queue
struct compare {
	bool operator()(
		struct Node* a, struct Node* b) {
		return a->data > b->data;
	}
};

// Function to merge k sorted linked lists
struct Node* mergeKSortedLists(
			struct Node* arr[], int k)
{
	// Priority_queue 'pq' implemented
	// as min heap with the help of
	// 'compare' function
	priority_queue<Node*, vector<Node*>, compare> pq;

	// Push the head nodes of all
	// the k lists in 'pq'
	for (int i = 0; i < k; i++)
		if (arr[i] != NULL)
			pq.push(arr[i]);
	
	// Handles the case when k = 0
	// or lists have no elements in them
	if (pq.empty())
		return NULL;

	struct Node *dummy = newNode(0);
	struct Node *last = dummy;

	// Loop till 'pq' is not empty
	while (!pq.empty()) {
		// Get the top element of 'pq'
		struct Node* curr = pq.top();
		pq.pop();

		// Add the top element of 'pq'
		// to the resultant merged list
		last->next = curr;
		last = last->next;
	
		// Check if there is a node
		// next to the 'top' node
		// in the list of which 'top'
		// node is a member
		if (curr->next != NULL)
			
		// Push the next node of top node
		// in 'pq'
		pq.push(curr->next);
	}

	// Address of head node of the required merged list
	return dummy->next;
}

// Function to print the linked list
void printList(struct Node* head) {
	while (head != NULL) {
		cout << head->data << " ";
		head = head->next;
	}
}


int main() {
	// Number of linked lists
	int k = 3;
	// Number of elements in each list
	int n = 4;

	// An array of pointers storing the head nodes of the linked lists
	Node* arr[k];

	arr[0] = newNode(1);
	arr[0]->next = newNode(3);
	arr[0]->next->next = newNode(5);
	arr[0]->next->next->next = newNode(7);

	arr[1] = newNode(2);
	arr[1]->next = newNode(4);
	arr[1]->next->next = newNode(6);
	arr[1]->next->next->next = newNode(8);

	arr[2] = newNode(0);
	arr[2]->next = newNode(9);
	arr[2]->next->next = newNode(10);
	arr[2]->next->next->next = newNode(11);

	struct Node* head = mergeKSortedLists(arr, k);
	printList(head);

	return 0;
}

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