You read a problem: "Find the longest substring..." or "Find a pair that sums to..."
You know it's an array problem. You know it's O(N). But do you use a Sliding Window or Two Pointers?
These two patterns are cousins. They both use two variables (usually left and right) to traverse an iterable. But they solve fundamentally different types of queries.
Mixing them up leads to buggy code and wasted interview time. Here is the definitive guide to telling them apart.
TL;DR
- Sliding Window: Use for "subarray" or "substring" problems (contiguous chunks). The window expands and shrinks like an inchworm.
- Two Pointers: Use for "pair" problems in a sorted array, or for swapping/partitioning. The pointers usually move toward each other or move independently without forming a "window" of valid data between them.
- The Litmus Test: Does the data between the pointers matter?
- Yes? -> Sliding Window.
- No? -> Two Pointers.
Pattern 1: Sliding Window (The "Contiguous Chunk" Specialist)
When to use it
- Keywords: "Longest substring", "Shortest subarray", "Max sum subarray of size K".
- Constraint: The elements must be contiguous (next to each other).
- Movement: Both pointers move in the same direction (usually left to right).
Rightexpands to find a valid state;Leftshrinks to optimize it.
The Intuition
Imagine looking through a camera lens. You pan the camera (expand right) to get more people in the shot. If you get too many people, you zoom in or move the left edge (shrink left) to frame it perfectly.
Code Structure
def sliding_window(nums):
left = 0
for right in range(len(nums)):
# 1. Add nums[right] to window state
# 2. While window is invalid (or valid, depending on goal):
# Remove nums[left] from state
# left += 1
# 3. Update global max/minPattern 2: Two Pointers (The "Pair" Specialist)
When to use it
- Keywords: "Two sum in sorted array", "Remove duplicates", "Reverse string", "Container with most water".
- Constraint: Often requires the array to be sorted (for 2-Sum style logic) OR involves swapping elements.
- Movement: Pointers often move toward each other (start at 0 and N-1) OR one is a "fast runner" and one is a "slow runner".
The Intuition
Imagine holding a physical list. You have a finger on the top item and a finger on the bottom item. You check them. If the sum is too small, you move the top finger down. If too big, you move the bottom finger up. You don't care about the items between your fingers.
Code Structure (Opposite Ends)
def two_pointers(nums, target):
left = 0
right = len(nums) - 1
while left < right:
current_sum = nums[left] + nums[right]
if current_sum == target:
return [left, right]
elif current_sum < target:
left += 1
else:
right -= 1The Decision Framework
When you see a new problem, ask these 3 questions:
1. Is the output a "subset" or a "pair"?
- Subarray/Substring (Slice): 90% chance it's Sliding Window.
- Pair/Triplet/Specific Elements: 90% chance it's Two Pointers (or Hash Map).
2. Does the input order matter?
- Yes (cannot sort): Likely Sliding Window (substrings depend on order).
- No (can sort): Likely Two Pointers (sorting enables the "move left if too small" logic).
3. Does the data *between* indices i and j matter?
- Yes: Sliding Window. The "window" is the sum/count of everything from
itoj. - No: Two Pointers. You only care about
nums[i]andnums[j].
Real-World Examples
| Problem | Pattern | Why? |
|---|---|---|
| Longest Substring Without Repeating Characters | Sliding Window | We need a contiguous slice. Order matters. |
| Two Sum II (Input array is sorted) | Two Pointers | We need a pair. Array is sorted. Middle elements don't matter. |
| Minimum Size Subarray Sum | Sliding Window | "Subarray" implies contiguous. We need the sum of the slice. |
| Valid Palindrome | Two Pointers | Compare start and end characters. Move inward. |
How to Practice This
Don't just solve random problems. Group them.
- Do 5 Sliding Window problems in a row.
- Do 5 Two Pointer problems in a row.
- The Mix: Ask a friend (or LeetCopilot) to give you a random problem from either category and try to identify it before writing code.
Tools like LeetCopilot's Study Mode can help here by generating flashcards that specifically ask you to identify the pattern for a given problem statement, training your pattern-recognition muscle.
FAQ
Q: Can Two Pointers work on unsorted arrays?
A: Yes, but usually for "swapping" problems (like Move Zeroes) or "fast/slow" logic (like Linked List Cycle). For "finding a pair," you usually need a Hash Map if you can't sort.
Q: Is Sliding Window a type of Two Pointers?
A: Technically, yes. It uses two pointers. But in the industry, we distinguish them because the logic of how they move is different.
Q: What about "Three Pointers"?
A: Usually a variation of Two Pointers (e.g., 3Sum, Sort Colors). The core logic remains: you are managing specific indices, not a window.
Conclusion
The difference boils down to "The Window" vs. "The Ends".
- If you need the stuff in the middle, slide the window.
- If you only need the values at the edges, move the pointers.
Keep this distinction clear, and you'll stop guessing O(N) solutions and start deriving them.
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