Array Deletion at Beginning in DSA C# - Cheat Sheet & Quick Revision

Recall & Review

beginner

What happens when you delete the first element of an array?

The first element is removed, and all other elements shift one position to the left to fill the gap.

beginner

Why do we need to shift elements after deleting the first element in an array?

Because arrays have fixed positions, shifting keeps the order and fills the empty space left by the deleted element.

intermediate

What is the time complexity of deleting the first element in an array?

O(n), because all elements after the first must be shifted one position to the left.

beginner

Show the array after deleting the first element from [10, 20, 30, 40].

After deletion and shifting, the array becomes [20, 30, 40].

intermediate

In C#, can you reduce the size of an array after deletion?

No, arrays have fixed size. You can create a new smaller array and copy elements to it after deletion.

What must you do after deleting the first element of an array?

A Shift all other elements one position to the left

B Shift all other elements one position to the right

C Replace the first element with zero

D Do nothing

After deleting the first element, all other elements must shift left to fill the empty space.

What is the time complexity of deleting the first element in an array of size n?

A O(1)

B O(n)

C O(log n)

D O(n^2)

Because all elements after the first must be shifted, the operation takes O(n) time.

After deleting the first element from [5, 15, 25], what is the new array?

A [5, 15]

B [25, 15]

C [15, 25]

D [5, 25]

The first element 5 is removed, and the rest shift left, resulting in [15, 25].

Can you directly reduce the size of a C# array after deletion?

A No, arrays have fixed size

B Yes, arrays are dynamic

C Only if you use unsafe code

D Only for arrays of integers

C# arrays have fixed size; to reduce size, create a new smaller array and copy elements.

Which data structure is better for frequent deletions at the beginning?

A Array

B Queue

C Stack

D Linked List

Linked lists allow O(1) deletion at the beginning without shifting elements.

Explain the steps to delete the first element from an array and what happens to the other elements.

Think about how arrays store elements in order and what happens when one is removed.

Why is deleting the first element in an array less efficient than deleting the last element?

Consider how many elements need to move after deletion.

Practice

1. What happens to the elements of an array when you delete the first element (at the beginning) in C#?

easy

A. All elements shift one position to the left, and the last element becomes unused.

B. The array size decreases automatically by one.

C. The first element is replaced by null but others stay the same.

D. The array elements remain unchanged.

Solution

1. Step 1: Understand array fixed size in C#

   Arrays have fixed size; deleting an element does not reduce size automatically.

2. Step 2: Effect of deleting first element

   To delete the first element, all other elements shift left by one to fill the gap.

3. Final Answer:

   All elements shift one position to the left, and the last element becomes unused. -> Option A

4. Quick Check:

   Deleting first element shifts left [OK]

Hint: Deleting at start shifts all elements left by one [OK]

Common Mistakes:

• Thinking array size changes automatically
• Assuming elements stay in place
• Believing first element becomes null only

2. Which of the following is the correct syntax to delete the first element from an array named arr in C# by shifting elements?

easy

A. arr.RemoveAt(0);

B. for(int i = 0; i < arr.Length - 1; i++) arr[i] = arr[i + 1];

C. for(int i = 1; i < arr.Length; i++) arr[i] = arr[i - 1];

D. arr.Delete(0);

Solution

1. Step 1: Understand array element shifting

   To delete first element, shift elements left starting from index 0 to length-2.

2. Step 2: Check syntax correctness

   for(int i = 0; i < arr.Length - 1; i++) arr[i] = arr[i + 1]; correctly loops from 0 to length-2 and assigns arr[i] = arr[i+1].

3. Final Answer:

   for(int i = 0; i < arr.Length - 1; i++) arr[i] = arr[i + 1]; -> Option B

4. Quick Check:

   Loop from 0 to length-2 shifting elements left [OK]

Hint: Shift elements from index 0 to length-2 left [OK]

Common Mistakes:

• Starting loop from 1 instead of 0
• Using non-existent array methods like RemoveAt
• Assigning elements in wrong direction

3. What is the output of the following C# code?

int[] arr = {10, 20, 30, 40};
for(int i = 0; i < arr.Length - 1; i++) {
  arr[i] = arr[i + 1];
}
arr[arr.Length - 1] = 0;
for(int i = 0; i < arr.Length; i++) {
  Console.Write(arr[i] + " ");
}

medium

A. 20 30 40 0

B. 10 20 30 40

C. 0 20 30 40

D. 20 30 40 40

Solution

1. Step 1: Trace the shifting loop

   Loop shifts elements left: arr[0]=20, arr[1]=30, arr[2]=40.

2. Step 2: Set last element to 0

   arr[3] = 0 replaces old last element 40.

3. Final Answer:

   20 30 40 0 -> Option A

4. Quick Check:

   Shift left + last zero = 20 30 40 0 [OK]

Hint: Shift left then zero last element for deletion [OK]

Common Mistakes:

• Not setting last element to zero
• Confusing loop range causing wrong shifts
• Printing old array without changes

4. Identify the error in the following code that tries to delete the first element of an array arr and fix it:

int[] arr = {5, 10, 15, 20};
for(int i = 1; i < arr.Length; i++) {
  arr[i] = arr[i - 1];
}
arr[arr.Length - 1] = 0;

medium

A. Last element should not be set to zero.

B. Array size must be reduced before shifting.

C. Loop direction is wrong; should shift elements left, not right.

D. The loop should start from 0 and go to arr.Length - 2.

Solution

1. Step 1: Analyze loop direction

   The loop copies arr[i-1] to arr[i], shifting elements right, which is incorrect for deletion.

2. Step 2: Correct loop to shift elements left

   Loop should assign arr[i] = arr[i+1] starting from i=0 to length-2.

3. Final Answer:

   Loop direction is wrong; should shift elements left, not right. -> Option C

4. Quick Check:

   Shift left to delete first element [OK]

Hint: Shift elements left, not right, when deleting at start [OK]

Common Mistakes:

• Shifting elements in wrong direction
• Trying to reduce array size directly
• Ignoring last element cleanup

5. You have an array int[] arr = {3, 6, 9, 12, 15}. Write a method to delete the first element and return a new array with the remaining elements only (size reduced by one). Which approach is correct?

hard

A. Use arr.RemoveAt(0) to delete the first element.

B. Shift elements left in original array and keep the same size.

C. Set arr[0] = 0 and return the original array.

D. Create a new array of size arr.Length - 1 and copy elements from index 1 onward.

Solution

1. Step 1: Understand fixed size arrays

   Arrays in C# have fixed size; to reduce size, create a new array.

2. Step 2: Copy elements except first

   Create new array of size one less and copy elements from index 1 onward.

3. Final Answer:

   Create a new array of size arr.Length - 1 and copy elements from index 1 onward. -> Option D

4. Quick Check:

   New smaller array with elements from index 1 [OK]

Hint: Create new smaller array and copy from index 1 [OK]

Common Mistakes:

• Trying to resize original array directly
• Only shifting elements without resizing
• Using non-existent RemoveAt method on array