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72 changes: 72 additions & 0 deletions Linked List/Middle_of_Linked_List.md
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## Description
Traversing the linked list with 2 pointers to find the middle node of the linked list.

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

struct ListNode {
int val;
ListNode* next;

ListNode(int value) : val(value), next(nullptr) {}
};

//Also Known as tortoise hare method where we use a fast pointer and a slow pointer
ListNode* findMiddle(ListNode* head) {
if (head == nullptr || head->next == nullptr)
return head;

ListNode* slow = head;
ListNode* fast = head;

while (fast != nullptr && fast -> next != nullptr) {
slow = slow -> next; //Traverse 1 node at a time
fast = fast -> next -> next; //Traverse 2 nodes at a time
}

return slow; //Finally the middle node will be stored in slow
}

int main() {
// Create a sample linked list
ListNode* head = new ListNode(1);
ListNode* node2 = new ListNode(2);
ListNode* node3 = new ListNode(3);
ListNode* node4 = new ListNode(4);
ListNode* node5 = new ListNode(5);

head -> next = node2;
node2 -> next = node3;
node3 -> next = node4;
node4 -> next = node5;

// Find the middle of the linked list
ListNode* middle = findMiddle(head);

if (middle != nullptr)
cout << "Middle element: " << middle -> val << endl;
else
cout << "Linked list is empty." << endl;

// Clean up the memory
ListNode* current = head;
while (current != nullptr) {
ListNode* next = current->next;
delete current;
current = next;
}

return 0;
}
```
## Run Code
https://ide.geeksforgeeks.org/online-cpp14-compiler/76385d10-1474-41ca-8859-ec5293448563

## Complexities
### Time Complexity :
O(n)
### Space Complexity :
O(1)