Iterative Merge Sort is a variation of the classic Merge Sort algorithm that uses an iterative approach instead of the traditional recursive approach. In Iterative Merge Sort, the data is divided into small sub-arrays and then merged in a bottom-up fashion, rather than dividing the data into smaller sub-arrays and then merging them back up in a top-down fashion as in the traditional Merge Sort. Let us know about the Iterative Merge Sort- Advantages And Disadvantages.

## Iterative Merge Sort

The iterative approach has the advantage of being more efficient in terms of memory usage, as it does not require the creation of a large number of recursive function calls. Instead, the iterative approach uses a loop to keep track of the merging process, which is done in a series of passes.

### Here’s a step-by-step description of the Iterative Merge Sort algorithm

1. Divide the data into small sub-arrays of size 1.

2. Create an array of sub-array pointers, each pointing to one of the sub-arrays.

3. Repeat the following steps until there is only one sub-array pointer left in the array of sub-array pointers: a. Take the two sub-array pointers at the front of the array and merge the sub-arrays they are pointing to. b. Add the pointer to the newly merged sub-array to the end of the array of sub-array pointers. c. Remove the two sub-array pointers from the front of the array.

4. The single sub-array pointer remaining in the array of sub-array pointers will point to the final, sorted array.

This algorithm uses a bottom-up approach to sorting, which is different from the top-down approach used by the traditional algorithm. This means that the sub-arrays are merged in increasing order of size, starting with sub-arrays of size 1 and ending with a single, sorted array.

The main advantage is its efficient use of memory, as it does not require the creation of a large number of function calls on the call stack. Additionally, it is easier to understand and implement than the traditional Merge Sort algorithm, which uses a recursive approach.

### The following are some of the advantages

#### 1. Efficient use of memory

This algorithm uses an iterative approach, which is more memory efficient compared to the traditional recursive Merge Sort algorithm. It does not require the creation of a large number of function calls on the call stack, reducing the memory overhead associated with the algorithm.

#### 2. Easier to understand and implement

The approach used in Iterative Merge Sort is generally easier to understand and implement than the recursive approach used in traditional Merge Sort. This makes it a good choice for beginners who are just starting to learn about sorting algorithms.

#### 3. No need for the base case

In traditional Merge Sort, the base case is necessary to avoid infinite recursion. The base case is not necessary because the algorithm uses a loop instead of recursion.

#### 4. Better performance for large data sets

This algorithm is more efficient for large data sets, as the memory overhead associated with the algorithm is reduced. This can lead to improved performance compared to traditional Merge Sort.

#### 5. No stack overflow

Since. it uses a loop instead of recursion, there is no risk of stack overflow, which can occur when the traditional Merge Sort algorithm is used with a large data set.

### The following are some of the disadvantages

#### 1. Slower performance

This approach used in Iterative Merge Sort is generally slower than the recursive approach used in traditional Merge Sort, due to the overhead associated with looping through the data and merging sub-arrays.

#### 2. Requires more code

The approach requires more code to implement compared to the traditional Merge Sort algorithm, as the looping logic must be written explicitly. This can make the code more complex and harder to maintain.

#### 3. Not as intuitive

The approach used in Iterative Merge Sort may not be as intuitive for some programmers as the recursive approach used in traditional Merge Sort. This can make the algorithm more difficult to understand and implement.

#### 4. May not be as versatile

It may not be suitable for all applications, as it is designed to handle a specific type of data. In some cases, traditional Merge Sort or another sorting algorithm may be more appropriate.

### The following are some situations where Iterative Merge Sort may be a good choice

#### 1. Memory-constrained environments

It is more memory-efficient than traditional Merge Sort, as it does not require the creation of a large number of function calls on the call stack. This makes it a good choice for environments with limited memory, such as embedded systems or mobile devices.

#### 2. Large data sets

The iterative approach used in Iterative Merge Sort can lead to improved performance compared to traditional Merge Sort for large data sets, as the memory overhead associated with the algorithm is reduced.

#### 3. Beginner programmers

The approach used in Iterative Merge Sort is generally easier to understand and implement than the recursive approach used in traditional Merge Sort, making it a good choice for beginners who are just starting to learn about sorting algorithms.

#### 4. Applications that need a stable sort

It is a stable sort, meaning that it maintains the relative order of equal elements in the input array. This makes it a good choice for applications where a stable sort is required.

However, it is important to keep in mind that the iterative approach used in Iterative Merge Sort is generally slower than the recursive approach used in traditional Merge Sort, due to the overhead associated with looping through the data and merging sub-arrays. Additionally, the iterative approach requires more code to implement, as the looping logic must be written explicitly.

The choice between Iterative Merge Sort and traditional Merge Sort will depend on the specific requirements of the application, including memory constraints, data size, and performance requirements.

##### Conclusion

In conclusion, Iterative Merge Sort is a useful variation of the classic Merge Sort algorithm that can be useful in certain situations where efficient memory usage is a priority. However, it is generally slower than the traditional Merge Sort and requires more code to implement