Minimum number of Merge Operations to make an Array Palindrome in C

March 18, 2023

Minimum number of merge operations

Here, in this section we discuss code for finding Minimum number of merge operations to make array palindrome.
We are given with an array of positive integers. If array is not a palindrome, make merge operations and prints the number of merge operations. In each merge operation it will merge two adjacent elements. Here, merging two elements means replacing them with their sum.

A palindrome is a word, phrase, or sequence that reads the same backwards as forwards.

Minimum Merge Operations To Make Array Palindrome

Algorithm :

Take the size of array from the user and store it in variable named n.
Declare an array of size n and take n integer values from the user.
Create two variables i,j. i will point to the start of the array and j to the end.
Run a loop till i less then or equal to j.
If arr[i] = arr[j], then there is no need to merge the elements. Increment i and decrement j
If arr[i] > arr[j], then do merge operation at index j ie, arr[j-1] = arr[j-1] + arr[j], decrement j and increment the no of merge operations count by 1
If arr[i] < arr[j], then do merge operation at index i ie, arr[i+1] = arr[i+1] + arr[i], increment i and increment the no of merge operations count by 1

Segregate 0’s 1’s and 2’s in array

Sort elements in array by frequency

Finding pythagorean triplets in an array

Reorder array using given indexes

Merging two sorted arrays

Code in C, based on above algorithm

Run

#include <stdio.h>

int MinOps (int arr[], int n)
{
  int ans = 0;

  for (int i = 0, j = n - 1; i <= j;)
    {
      if (arr[i] == arr[j])
	{
	  i++;
	  j--;
	}

      else if (arr[i] > arr[j])
	{
	  j--;
	  arr[j] += arr[j + 1];
	  ans++;
	}

      else
	{
	  i++;
	  arr[i] += arr[i - 1];
	  ans++;
	}
    }

  return ans;
}

int main ()
{
  int n;
  printf ("Enter the number of elements ");
  scanf ("%d", &n);

  int arr[n];

  printf ("Enter the elements ");
  for (int i = 0; i < n; i++)
    {
      scanf ("%d", &arr[i]);
    }
  printf ("Count of minimum operations is %d", MinOps (arr, n));

  return 0;
}

Output:

Enter the number of elements 4
Enter the elements 1 2 3 1
Count of minimum operations is 1

Prime Course Trailer

Related Banners

Get PrepInsta Prime & get Access to all 200+ courses offered by PrepInsta in One Subscription

Get over 200+ course One Subscription

Courses like AI/ML, Cloud Computing, Ethical Hacking, C, C++, Java, Python, DSA (All Languages), Competitive Coding (All Languages), TCS, Infosys, Wipro, Amazon, DBMS, SQL and others

Checkout list of all the video courses in PrepInsta Prime Subscription

Introduction to Trees

Binary Trees

Binary Tree in Data Structures (Introduction)
Tree Traversals: Inorder Postorder Preorder : C | C++ | Java
Inorder Postorder PreOrder Traversals Examples
- Inorder Tree Traversal in Binary Tree: C | C++ | Java
- Preorder Tree Traversal in Binary Tree : C | C++ | Java
- Postorder Tree Traversal in Binary Tree : C | C++ | Java
Tree Traversal without Recursion
- Postorder Preorder Inorder Traversal without recursion
- Inorder Tree Traversal without Recursion – C | C++ | Java
- Preorder Tree Traversal without Recursion – C | C++ | Java
- Postorder Tree Traversal without Recursion – C | C++ | Java

Binary Search Trees

Binary search tree in Data Structures (Introduction)
- BST: Introduction to Binary Search Tree
- BST: Binary Search Tree Program : C | C++ | Java
- BST: Search a node in Binary Search Tree : C | C++ | Java
- BST: Insertion in a Binary Search Tree : C | C++ | Java
- BST: Deletion in a Binary Search Tree : C | C++ | Java

Traversals

Traversal in Trees
Tree Traversals: Breadth-First Search (BFS) : C | C++ | Java
Tree Traversals: Depth First Search (DFS) : C | C++ | Java
Construct a Binary Tree from Postorder and Inorder

B – Trees

B-Tree
- B-Tree: Introduction
- B-Tree: Insertion : C | C++ | Java
- B-Tree: Deletion : C | C++ | Java

AVL Trees

AVL Trees
- AVL Trees: Introduction
- AVL Tree Insertion : C | C++ | Java
- AVL Tree Deletion : C | C++ | Java
- Insertion in a Binary Tree (Level Order) – C | C++ | Java
- Searching in Binary Tree – C | C++ | Java
- Searching in a Binary Search Tree – C | C++ | Java

Complete Programs for Trees

Depth First Traversals – C | C++ | Java
Level Order Traversal – C | C++ | Java
Construct Tree from given Inorder and Preorder traversals – C | C++ | Java
Construct Tree from given Postorder and Inorder traversals – C | C++ | Java
Construct Tree from given Postorder and Preorder traversal – C | C++ | Java
Find size of the Binary tree – C | C++ | Java
Find the height of binary tree – C | C++ | Java
Find maximum in binary tree – C | C++ | Java
Check whether two tree are identical- C| C++| Java
Spiral Order traversal of Tree- C | C++| Java
Level Order Traversal Line by Line – C | C++| Java
Hand shaking lemma and some Impotant Tree Properties.
Check If binary tree if Foldable or not.- C| C++| Java
check whether tree is Symmetric – C| C++| Java.
Check for Children-Sum in Binary Tree- C|C++| Java
Sum of all nodes in Binary Tree- C | C++ | Java
Lowest Common Ancestor in Binary Tree- C | C++ | Java