Problem: 2072F - Goodbye, Banker Life

I learned about the Pascal's triangle solution, but i upsolved it by seeing this pattern:

1

1 1

1 0 1

1 1 1 1

Exact pattern

It recursively repeats..

Solution

Thing is, I'm unable to prove why this should work and its bothering me alot, can anyone help me out?!

Update : The pattern is known as sierpinski's triangle

Hello everyone, I wanted to share a problem from 2023 ICPC India prelims to my friend, unfortunately that contest including every other preliminary that happened on codedrills platform is now gone. Does anyone know of a site which has them?

Contest links which were previously available to public:

2023 Prelims

2022 Prelims

2021 Prelims

2020 Prelims

Hey guys, I recently came across a very cool problem in a private contest, and had a lot of free time..

Being a huge fan of 3B1B, I Always wanted to make videos like him, Found this particular problem very interesting so decided to give it a try!

Video link

Please review it if you have free time :D

Hello cf community, I always get stuck at finding patterns if I have to create them from scratch, but other constructive problems around similar or even higher levels i can solve easily..

Eg of what I'm talking about:

https://www.codechef.com/problems/GRIDEVEN

Maybe i would feel much more confident and improve my intuition if I can solve similar problems, so please share if you have any construction-based problems that you feel is nice and tough!

Hello codeforces community, I have not yet done any virtual contests, and since it's the holiday season I have a lot of free time, and practice does not feel as exciting as contests (don't get me wrong it's fun, but I enjoy contests a lot more)

I am gonna do some, and if you have any particular recommendation for a contest that you enjoyed the most, please share it!

I know "enjoyment" can be subjective, so it does not matter whether it's good or bad from an objective standpoint, just give me some recommendations! :D