Remove Element

To solve this coding challenge, we aim to remove all occurrences of a specified value,
val
, from an integer array,
nums
, in-place and return the count of elements that are not equal to
val
. The key criteria are modifying the input array so that the first
k
elements are those that are not equal to
val
and ensuring that
k
is correctly calculated.

Explanation

The task is to filter out the elements equal to
val
from the array
nums
and return the length of the filtered array. The elements that are not equal to
val
should appear in the first
k
positions of the
nums
array. The order of non-
val
elements in the modified array does not matter.
Given the constraints:
  • The length of
    nums
    is between 0 and 100.
  • The value of
    nums[i]
    is between 0 and 50.
  • The value of
    val
    is between 0 and 100.
These constraints imply that the problem can be solved efficiently with a single pass through the array.

Step-by-Step Explanation

  1. Initialization : Begin by initializing a counter
    k
    to zero. This counter will keep track of the position to place the next non-
    val
    element.
  2. Traversal and Filtering : Iterate through each element in the array
    nums
    .
    • If the current element is not equal to
      val
      , place this element at the index indicated by
      k
      and then increment
      k
      .
    • If the current element equals
      val
      , continue to the next element without incrementing
      k
      .
  3. Result : After completing the iteration through the array, the first
    k
    elements of
    nums
    will be the elements that are not equal to
    val
    . The variable
    k
    will represent the number of these elements.
  4. Return : Return
    k
    , the count of elements that are not equal to
    val
    .
  5. Below is a pseudocode representation of this approach:
                                                
    // Initialize a counter to track the position of the non-val elements
    Initialize count_non_val_elements to 0
    
    // Iterate through all elements in the nums array
    For each element in nums:
    // If the current element is not equal to val
    If element is not equal to val:
    // Place this element at the next available position in the array
    nums[count_non_val_elements] = element
    // Increment the counter
    Increment count_non_val_elements
    
    // Return the count of non-val elements
    Return count_non_val_elements
    
                                            

    Detailed Steps in Pseudocode

  6. Initialize a counter :
    •                                             
      count_non_val_elements = 0 // This will count the valid elements
      
                                              
  7. Loop through the array :
    •                                             
      For each element in nums:
      If element != val:
      nums[count_non_val_elements] = element // Place valid element at the counted position
      count_non_val_elements += 1 // Increment the counter for valid elements
      
                                              
  8. Return the count :
    •                                             
      Return count_non_val_elements
      
                                              
This pseudocode outlines how to iterate through the array only once, making the time complexity O(n), where
n
is the length of the array. It also ensures that we do not use extra space, other than a few scalar variables, adhering to an O(1) space complexity.
By following this approach, we can ensure that the function performs efficiently within the given constraints and meets all the problem's requirements.