Sliding Window
Today I Realized That I’ve Been Looking At DSA Wrong This Whole Time.
Not Wrong In A Way Where I Was Completely Off, But Wrong In The Way That I Was Framing It.
I Kept Thinking About It As Problem Solving.
Like, Here’s A Problem, What Tool Do I Use To Solve It.
And That Framing Just Kept Making Everything Feel… Tight. Like I Had To Get To An Answer. Like There Was Something To Prove.
But Today, When I Was Working On Sliding Window, Something Shifted.
It Stopped Feeling Like A Technique.
It Started Feeling Like Movement.
And I Think That’s The Difference.
Because When I Look At Something Like Sliding Window Now, I Don’t See “This Solves Subarray Problems.”
I See Two Points Moving Through Space.
J Just Keeps Moving Forward.
It Doesn’t Think. It Doesn’t Stop. It Just Goes.
And Then I Is Kind Of Like… The Correction.
It Doesn’t Exist Unless It Needs To.
It Only Shows Up When Something Is Off.
And That’s Such A Weird Thing To Realize Because It’s Like…
This Isn’t Problem Solving.
This Is Behavior.
This Is A System Moving And Adjusting Itself Based On A Condition.
And I Think That’s What I Actually Enjoy About This.
Not The Idea That I Can Solve Problems Faster Or Pass An Interview.
But The Idea That I Can Watch Something Move And Understand Why It Moves The Way It Does.
It’s The Same Thing With Matrix Math.
When I First Learned About Transposing A Matrix, I Didn’t Get It.
Because I Was Thinking About It Like Numbers.
Like, Okay, This Goes Here, This Goes There.
But Then I Thought About It Physically.
Like This Is An Object.
And We’re Rotating It.
And Then Mapping It Onto Another Space.
And It’s Like… Oh.
That’s Not Math In The Way I Thought Math Was.
That’s Transformation.
That’s Interaction.
It’s Like Mixing Paint.
You Don’t Say Blue Exists Over Here And Yellow Exists Over Here And Then Somehow Green Appears.
You Take The Yellow And You Put It Into The Blue.
And Within That Same Space, Something New Forms.
And I Think That’s What I’m Starting To Realize.
A Lot Of What I’m Learning Isn’t About Outputs.
It’s About What Happens Inside The System.
And I Don’t Even Know If This Is Useful.
Like, I’m Not Thinking About How This Helps Me Get A Job.
Or How This Makes Me A Better Engineer.
I Just…
I Like Seeing It.
I Like Understanding It.
And I Think That’s Enough.