Yes, it seems intuitively obvious, which is why mathematicians spent a long time trying to prove that the conjecture was true. It turns out The conjecture is false in a non-obvious way. The result described in the blog post is a specific counterexample: the conjecture fails, just barely, for a specific graph with several thousand nodes and edges. It's not the kind of counterexample you would intuit in your head or even on a whiteboard.
It's floor(_) - as in, floor(1.999) = 0, but floor(2.001) = 2. If you look carefully the upper flange of the [] square brackets is missing, which makes it a floor.
You have to eat something, but you don't have to drink. I've seen it described as: Imagine telling alcoholics to keep it under control, while still making them have 2-3 drinks a day!
That's what Blizzard's always done - they didn't invent RTS games, or MMOs, or collectible card games, or roguelikes, they just refined and productized them. I think it's fair to call Overwatch a huge success if you're counting e.g. Diablo and World of Warcraft in there.
2. CS stuff is widely available for self-study if you've got good discipline. "The Algorithm Design Manual" by Skiena is my favorite textbook on algorithm fundamentals. CLRS is a bigger book with more mathy crunch, if you're into that.
There's a lot more to computer science and software engineering than just algorithms, but it's what you'll get grilled on the most in junior level interviews. By the same token, the skills you need as you get more senior in this industry aren't really taught in school.
Ah, man, I get being anxious in interviews but it never occurred to me that newbies would be stressed out by their (lack of) Leetcode score. It's totally unnecessary of course - the people who've racked 1500 problems are probably as unemployed as you are :p
This is, in fact, an existing product category: the one I'm most familiar with is https://www.beeminder.com/, but it's got a few competitors.
I've never found it particularly useful, but then I'm also too chicken to put up serious cash. I figure I put a high price on having to be disciplined :)