You’ll Get There Eventually: A Story About Big O

When I first encountered Big O notation, I was told it was important — like, really important. But the truth?
It didn’t click.

It felt abstract. Symbolic. Something about inputs, time, and… logarithms?

I was already learning so much about syntax, IDEs, frameworks, version control — and trying to hold all of that in my head. So when I asked around, some peers casually dismissed it:

“You won’t really need Big O unless you’re working on search engines or something.”
“Just use a faster computer.”

And for a while, I believed that.
Not because it was right — but because it was convenient.

But over time, especially as I started building more complex systems — ones that dealt with real data and needed to scale — my mindset shifted.
I came to understand that Big O isn’t just some academic relic.
It’s a gateway to systems sense.

Big O gives you a language for describing how things behave as they grow — how they scale. It’s less about speed and more about structure. It helps you think ahead.

What Big O Actually is

Let’s break it down without fear:

Big O notation is a way of describing how your algorithm behaves as your input grows.

It’s not a stopwatch. It’s a pattern.

Big O describes how many steps your algorithm takes as n (your input size) gets bigger. It doesn’t care about your machine, just your logic.

Big O is not a clock. It’s a map.

When It Finally Clicked

For me, it clicked during a late-night debugging session.

I’d written a perfectly normal nested loop. It worked. It returned the right values. I pushed it.

Then I doubled the dataset.

Suddenly, everything lagged. My app started dragging. What once felt smooth now felt like dragging a lead sled through molasses.

That was O(n²) in action. And that’s when I realized — this stuff matters.

A Developer’s Table of Growth Rates

Big ONameExample Use Case
O(1)
Constant
Hash table lookup
O(log n)Logarithmic
Binary search
O(n)
Linear

Simple iteration through array
O(n log n)
Linearithmic

Merge sort, efficient sorting
O(n²)
Quadratic

Comparing every pair (nested loops)
O(2ⁿ)
Exponential

Recursive brute-force
O(n!)
Factorial

Exhaustive permutations

You don’t need to memorize these — you’ll start to feel them over time.

Big O and the Developer’s Inner Compass

Big O gave me more than an academic insight — it gave me a kind of inner compass.

You start to ask:

  • How will this behave when the data doubles?
  • Am I solving this with intention or with brute force?
  • Could a different structure make all the difference?

These are systems questions. And Big O helps you ask them early — before the app breaks, before the user leaves, before the server crashes.

It’s part of developing systems sense — an awareness that your code lives in time, space, and motion.

Big O is where efficiency meets foresight — and philosophy.

Final Thoughts: If You’re Still Not Sure

If you’re just beginning your journey, don’t feel ashamed to say, “I don’t get Big O yet.” I didn’t either. A lot of us didn’t.

You’ll get there. It’ll click.

Until then, keep building. Let things break. Then learn why they broke.

That’s how we get better. That’s how we earn our place in this strange, recursive, beautiful craft.

Leave a Reply

Your email address will not be published. Required fields are marked *