LeetCode soluton - 945. Minimum Increment to Make Array Unique - TypeScript and JavaScript

Intuition
The initial thought when approaching this problem is to handle the duplicates in the array. By sorting the array, duplicates will be adjacent to each other, making it easier to identify and increment them to make all elements unique. This simplifies the problem of finding and fixing duplicates.

Approach
Sort the Array: Start by sorting the array. This helps to bring duplicates next to each other.
Initialize Variables: Use a moves counter to track the number of increments and a prev variable to store the value of the previous element in the sorted array.
Iterate Through the Array: Loop through the sorted array starting from the second element. For each element, compare it with the prev element.
Handle Duplicates: If the current element is less than or equal to the prev element, increment prev and add the difference to moves. If the current element is greater, update prev to the current element.
Return Result: After the loop, return the total number of moves.