Why Remove Duplicates from Sorted Array Two Pointer in DSA Rust?

The Big Idea

What if you could clean a messy list in just one quick pass without mistakes?

The Scenario

Imagine you have a long list of names sorted alphabetically, but some names appear more than once. You want to make a clean list with each name only once. Doing this by checking each name and removing duplicates by hand would take forever!

The Problem

Manually scanning the list and removing duplicates one by one is slow and tiring. You might miss some duplicates or accidentally remove the wrong name. It's easy to get confused and make mistakes, especially with long lists.

The Solution

The two-pointer method lets you quickly find and remove duplicates by moving through the list just once. One pointer tracks where to place the next unique name, and the other scans ahead. This way, you keep only unique names without extra space or repeated checks.

Before vs After

✗ Before

let mut i = 0;
while i < names.len() - 1 {
    if names[i] == names[i + 1] {
        names.remove(i + 1);
    } else {
        i += 1;
    }
}

✓ After

let mut unique_index = 0;
for current_index in 1..names.len() {
    if names[current_index] != names[unique_index] {
        unique_index += 1;
        names[unique_index] = names[current_index].clone();
    }
}
names.truncate(unique_index + 1);

What It Enables

This method makes it easy and fast to clean sorted lists by removing duplicates in just one pass.

Real Life Example

When you download a sorted contact list from your phone, this method helps remove repeated contacts quickly so you can call or message without confusion.

Key Takeaways

Manual removal of duplicates is slow and error-prone.

Two-pointer technique scans once and keeps unique elements efficiently.

It works best on sorted lists and saves time and effort.

Practice

1. What is the main purpose of using two pointers in the Remove Duplicates from Sorted Array problem?

easy

A. To sort the array before removing duplicates

B. To efficiently track unique elements and overwrite duplicates in-place

C. To create a new array with unique elements

D. To count the total number of duplicates in the array

Solution

1. Step 1: Understand the two-pointer approach

   One pointer tracks the position to place the next unique element, the other scans the array.

2. Step 2: Purpose of pointers in-place

   This method avoids extra space by overwriting duplicates directly in the original array.

3. Final Answer:

   To efficiently track unique elements and overwrite duplicates in-place -> Option B

4. Quick Check:

   Two pointers help remove duplicates in-place [OK]

Hint: Two pointers move to overwrite duplicates without extra space [OK]

Common Mistakes:

• Thinking two pointers create a new array
• Assuming sorting is needed again
• Counting duplicates instead of removing

2. Which of the following Rust code snippets correctly initializes two pointers for the Remove Duplicates problem?

easy

A. let mut i = 1; let mut j = 0;

B. let mut i = 0; let mut j = 1;

C. let i = 1; let j = 0;

D. let i = 0; let j = 0;

Solution

1. Step 1: Identify pointer roles

   Pointer i tracks last unique index, starting at 0; j scans from 1.

2. Step 2: Match initialization

   Correct initialization is let mut i = 1; let mut j = 0; to start comparing from second element.

3. Final Answer:

   let mut i = 1; let mut j = 0; -> Option A

4. Quick Check:

   i=1, j=0 starts scanning correctly [OK]

Hint: Start i at 1 and j at 0 to compare adjacent elements [OK]

Common Mistakes:

• Swapping i and j initialization
• Not using mutable variables
• Starting both pointers at 0

3. What will be the content of the array after running the two-pointer duplicate removal on let mut nums = vec![1, 1, 2, 3, 3];?

medium

A. [1, 2, 3, 3, 3]

B. [1, 1, 2, 3, 3]

C. [1, 2, 3, _, _]

D. [1, 2, 3, 0, 0]

Solution

1. Step 1: Apply two-pointer logic

   Start with i=0, j=1; compare nums[j] with nums[i]. When different, increment i and copy nums[j].

2. Step 2: Trace array changes

   nums changes to [1, 2, 3, 3, 3], but only first 3 elements are unique; rest are leftover values.

3. Final Answer:

   [1, 2, 3, _, _] -> Option C

4. Quick Check:

   Unique elements at start, duplicates ignored [OK]

Hint: Unique elements fill front; leftover values remain unchanged [OK]

Common Mistakes:

• Assuming duplicates are removed from array length
• Expecting zeros instead of leftover values
• Not understanding in-place overwrite

4. Identify the bug in this Rust code snippet for removing duplicates from a sorted array:

let mut i = 0;
for j in 1..nums.len() {
    if nums[i] == nums[j] {
        i += 1;
        nums[i] = nums[j];
    }
}

medium

A. Pointer i should not be incremented inside the if block

B. The loop range should start from 0, not 1

C. nums[i] should be compared with nums[i-1], not nums[j]

D. The condition should check for inequality, not equality

Solution

1. Step 1: Analyze the if condition

   The code increments i and copies nums[j] only when nums[i] == nums[j], which is wrong.

2. Step 2: Correct condition logic

   We want to copy nums[j] only when nums[j] != nums[i], meaning a new unique element found.

3. Final Answer:

   The condition should check for inequality, not equality -> Option D

4. Quick Check:

   Copy unique elements when different [OK]

Hint: Copy when elements differ, not when equal [OK]

Common Mistakes:

• Incrementing i on duplicates
• Wrong comparison operator
• Loop starting index confusion

5. Given a sorted vector nums with possible duplicates, how would you modify the two-pointer approach to return the count of unique elements and also ensure the first part of the vector contains only these unique elements in Rust?

hard

A. Use two pointers i=0, j=1; increment i and copy nums[j] when nums[j] != nums[i]; return i+1 as count

B. Use a HashSet to collect unique elements, then overwrite nums with the set; return set size

C. Sort the vector again after removing duplicates; return length of sorted vector

D. Iterate with one pointer, remove duplicates by shifting elements left; return original length minus duplicates

Solution

1. Step 1: Initialize pointers and iterate

   Set i=0 for last unique index, j=1 to scan; compare nums[j] with nums[i].

2. Step 2: Copy unique elements and count

   If nums[j] != nums[i], increment i and copy nums[j] to nums[i]. After loop, unique count is i+1.

3. Final Answer:

   Use two pointers i=0, j=1; increment i and copy nums[j] when nums[j] != nums[i]; return i+1 as count -> Option A

4. Quick Check:

   Two-pointer overwrite returns unique count [OK]

Hint: Increment i only on new unique element, return i+1 [OK]

Common Mistakes:

• Using extra space like HashSet unnecessarily
• Re-sorting after removal
• Incorrect count calculation