The time complexity of Heapsort and Mergesort is O(n log n) in the worst case scenario. However, in practice, Mergesort tends to be faster than Heapsort for most input sizes. This is because Mergesort has better cache locality and is more efficient in terms of memory access. Additionally, Mergesort is a stable sorting algorithm, meaning it preserves the relative order of equal elements, which can be advantageous in certain situations. Therefore, in general, Mergesort is often faster than Heapsort. **

The time complexity of Mergesort is O(n log n) in the worst-case scenario, where n is the number of elements in the array. This complexity arises from the fact that Mergesort divides the array into halves recursively and then merges them back together in sorted order. The space complexity of Mergesort is O(n) due to the need for additional space to store the divided subarrays during the sorting process. Overall, Mergesort is an efficient sorting algorithm that performs well on large datasets. **

Mergesort and Bubblesort are stable sorting algorithms because they preserve the relative order of equal elements. In Mergesort, when merging two sorted subarrays, if two elements are equal, the algorithm chooses the element from the left subarray first, ensuring that the relative order of equal elements is maintained. Similarly, in Bubblesort, when comparing adjacent elements, if two elements are equal, the algorithm does not swap them, preserving their relative order. This stability ensures that Mergesort and Bubblesort are suitable for sorting data where the original order of equal elements is important. **

The savings bank may be blocking online banking customers for security reasons. They may have detected suspicious activity on certain accounts and are taking precautionary measures to protect their customers' funds and personal information. Additionally, the bank may be conducting routine maintenance or updates to their online banking system, temporarily restricting access to ensure a smooth and secure user experience once the maintenance is complete. It is also possible that there may be technical issues or glitches with the online banking platform that need to be resolved before customers can access their accounts again. **

Both Quicksort and Mergesort have their own advantages and disadvantages. Quicksort is generally faster than Mergesort for small datasets and has a smaller space complexity. However, Mergesort is more stable and performs consistently well for larger datasets. In general, the choice between Quicksort and Mergesort depends on the specific requirements of the problem at hand, such as the size of the dataset and the available memory. **

Savings bank transactions can typically be deleted by accessing the account statement or transaction history on the bank's online portal or mobile app. From there, you can select the specific transaction you wish to delete and look for an option to remove or delete it. If you are unable to delete the transaction yourself, you can contact your bank's customer service for assistance in removing the transaction from your account history. It's important to note that some transactions may not be able to be deleted, especially if they are already processed or finalized. **

To use online banking with your savings account, you will first need to set up online banking with your bank. This usually involves creating an online account and linking your savings account to it. Once your account is set up, you can access your savings account online to check your balance, transfer funds, set up automatic transfers, and even pay bills. Online banking provides a convenient way to manage your savings account from anywhere with an internet connection. **

One trick that can be used in the partition function of Mergesort is to choose a pivot element and rearrange the elements in the array such that all elements less than the pivot are on the left and all elements greater than the pivot are on the right. This can be done using a two-pointer approach where one pointer starts from the beginning of the array and moves towards the end, while the other pointer starts from the end and moves towards the beginning. Once the pointers meet, the pivot element can be placed in its correct position and the array can be partitioned into two sub-arrays for further sorting. This trick helps in efficiently dividing the array into smaller sub-arrays for sorting. **