Array Deletion at Beginning in DSA Java - 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 elements shift left after deleting the first element in an array?

Because arrays have fixed positions, shifting left keeps the array continuous without empty spaces.

intermediate

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

O(n), because all elements after the first must be moved one step left.

beginner

Show the array after deleting the first element from [5, 10, 15, 20].

After deletion, the array becomes [10, 15, 20].

intermediate

What is a drawback of deleting the first element in an array?

It requires shifting all elements, which can be slow for large arrays.

What must happen to the elements after deleting the first element in an array?

A They shift one position to the right

B They stay in the same place

C They shift one position to the left

D They are all deleted

After deleting the first element, all other elements move 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 left, the operation takes O(n) time.

If the array is [3, 6, 9, 12], what is the array after deleting the first element?

A [12]

B [3, 6, 9]

C [9, 12]

D [6, 9, 12]

Deleting the first element (3) shifts the rest left, resulting in [6, 9, 12].

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

A Because deleting the first requires shifting all elements

B Because the first element is always the largest

C Because arrays cannot delete elements

D Because the last element is always zero

Deleting the first element requires shifting all other elements left, which takes more time.

What happens to the array size after deleting the first element?

A It decreases by one

B It increases by one

C It stays the same

D It doubles

Deleting an element reduces the array size by one.

Explain step-by-step what happens when you delete the first element of an array.

Think about how the array stays continuous without gaps.

Why does deleting the first element in an array take more time than deleting the last element?

Consider how many elements need to move.

Practice

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

easy

A. All elements shift one position to the left, and the first element is removed.

B. All elements shift one position to the right, and the last element is removed.

C. The array size increases by one.

D. The array remains unchanged.

Solution

1. Step 1: Understand array deletion at beginning

   Deleting the first element means removing the element at index 0.

2. Step 2: Effect on remaining elements

   All other elements move one position left to fill the gap, reducing the array size by one.

3. Final Answer:

   All elements shift one position to the left, and the first element is removed. -> Option A

4. Quick Check:

   Delete first element = shift left [OK]

Hint: Deleting first element shifts all others left by one [OK]

Common Mistakes:

• Thinking elements shift right instead of left
• Assuming array size stays the same
• Believing the array remains unchanged

2. Which of the following Java code snippets correctly deletes the first element from an integer array arr and shifts the remaining elements left?

easy

A. for (int i = 1; i < arr.length; i++) { arr[i] = arr[i - 1]; }

B. for (int i = arr.length - 1; i > 0; i--) { arr[i] = arr[i - 1]; }

C. for (int i = 0; i < arr.length - 1; i++) { arr[i] = arr[i + 1]; }

D. for (int i = 0; i < arr.length; i++) { arr[i + 1] = arr[i]; }

Solution

1. Step 1: Identify correct loop direction and indices

   To shift elements left, start from index 0 to length-2, assigning arr[i] = arr[i+1].

2. Step 2: Check each option

   for (int i = 0; i < arr.length - 1; i++) { arr[i] = arr[i + 1]; } matches this logic; others shift right or use wrong indices causing errors.

3. Final Answer:

   for (int i = 0; i < arr.length - 1; i++) { arr[i] = arr[i + 1]; } -> Option C

4. Quick Check:

   Shift left loop: i from 0 to length-2 [OK]

Hint: Shift left by copying arr[i+1] to arr[i] in forward loop [OK]

Common Mistakes:

• Looping backwards when shifting left
• Using wrong indices causing ArrayIndexOutOfBounds
• Assigning arr[i-1] instead of arr[i+1]

3. What is the output of the following Java code?

int[] arr = {10, 20, 30, 40, 50};
for (int i = 0; i < arr.length - 1; i++) {
    arr[i] = arr[i + 1];
}
arr[arr.length - 1] = 0;
for (int num : arr) {
    System.out.print(num + " ");
}

medium

A. 20 30 40 50 0

B. 10 20 30 40 50

C. 0 10 20 30 40

D. 50 40 30 20 10

Solution

1. Step 1: Trace the shifting loop

   Each element moves left: arr[0]=20, arr[1]=30, arr[2]=40, arr[3]=50.

2. Step 2: Set last element to 0

   arr[4] is set to 0 explicitly.

3. Final Answer:

   20 30 40 50 0 -> Option A

4. Quick Check:

   Shift left + last zero = 20 30 40 50 0 [OK]

Hint: After shift, last element set to zero to fill gap [OK]

Common Mistakes:

• Forgetting to set last element to zero
• Printing original array without shift
• Confusing shift direction

4. The following code attempts to delete the first element of an array but causes an error. What is the error?

int[] arr = {1, 2, 3, 4};
for (int i = 0; i <= arr.length - 1; i++) {
    arr[i] = arr[i + 1];
}

medium

A. Logical error: elements shift right instead of left

B. ArrayIndexOutOfBoundsException at i = 3

C. Syntax error due to missing semicolon

D. No error, code runs fine

Solution

1. Step 1: Analyze loop range

   The loop runs i from 0 to arr.length - 1 (i.e., 0 to 3).

2. Step 2: Identify out-of-bounds access

   At i=3, arr[i+1] = arr[4] is accessed, which is outside array bounds causing exception.

3. Final Answer:

   ArrayIndexOutOfBoundsException at i = 3 -> Option B

4. Quick Check:

   Accessing arr[4] in length 4 array causes exception [OK]

Hint: Loop till length-2 to avoid out-of-bounds [OK]

Common Mistakes:

• Using <= instead of < in loop condition
• Ignoring array length limits
• Assuming code runs without error

5. Given an array arr = {5, 10, 15, 20, 25}, write the output after deleting the first element twice using the standard shift-left method and setting the last element to zero each time.
What is the final state of the array?

hard

A. [5, 10, 15, 20, 25]

B. [10, 15, 20, 25, 0]

C. [0, 0, 15, 20, 25]

D. [15, 20, 25, 0, 0]

Solution

1. Step 1: First deletion

   Shift left: arr becomes [10, 15, 20, 25, 0]

2. Step 2: Second deletion

   Shift left again: arr becomes [15, 20, 25, 0, 0]

3. Final Answer:

   [15, 20, 25, 0, 0] -> Option D

4. Quick Check:

   Two shifts left + zeros at end = [15, 20, 25, 0, 0] [OK]

Hint: Each deletion shifts left and adds zero at end [OK]

Common Mistakes:

• Deleting only once instead of twice
• Not setting last element to zero after shift
• Confusing order of elements after shifts