I've been struggling with deriving Pascal's triangle's formula and it's really getting me down. I can follow the array method easily, but when it comes to combinatorics, I find it terrifying! I'm starting to wonder if I'm cut out for programming. Did most programmers face this challenge? How did you all get through it?
5 Answers
It really comes down to practice. I was lost with certain algorithms too, but as I kept programming and mastering the underlying theories, things fell into place. You'll get there with time and effort!
The key is to recognize the patterns! The formula is not about deep math concepts but simple addition. Once you wrap your head around it, coding it becomes easier. When in doubt, revisit problems as many times as needed until it clicks.
I see the patterns, but I struggle with updating values using combinatorics formulas. Arrays make sense, but the combinatorial thinking just isn’t there yet.
When you say 'derive the formula,' what do you mean? The rule for Pascal's triangle, where each number is the sum of the two numbers above, is fairly straightforward once you know it. It's more about familiarizing yourself with it.
Right, but I think they’re talking about understanding the underlying combinatorial logic, like calculating values from the nCr formula and how it connects to Pascal's triangle.
For sure! You can derive combinations, like 20 choose 5, without needing to create rows of the triangle by using that formula instead.
I remember figuring out algorithms for solving simultaneous equations back in the day—quite the adventure! Solving complex problems takes practice, and it’s all about building that abstract thinking.
That's inspiring! But how do I develop that kind of abstract thinking? I feel like I'm stuck and can't build logic skills, especially after a year of struggling.
Don't stress too much about struggling with Pascal's triangle—it doesn't define your coding skills. Programming and math require different types of thinking. It's essential to focus on the process rather than using one math problem as a benchmark for your programming ability. Keep at it!
You're right! It's about familiarity too. Some folks are exposed to Pascal's triangle multiple times and just get it. Intelligence isn't solely about solving a single problem; often, it's about experience with the topic.
True, math and programming are intertwined, but mastering math isn't a must to be a good coder. As long as you’re passionate and keep practicing, you'll find your niche!
What practical steps can I take? I'm struggling with logic and need a roadmap or some resource recommendations to get better.