Nice video! I dont understand why you need to seeprate passes for 2,3 etc. Cant you just put the stencil down once and then add up the numbers from the start-point of the 5 arrows? Then you only have one number in each box and you can complete it one pass. Let me know if that makes sense....I could write a quick program to clarify!
A very thoughtful question, thanks for asking! I decided to take out the explanation to keep it tight. In fact, I thought the same at first. But the numbers do come out different doing it in a single pass, and it has to do with doube-counting different permutations of scores Ex. should "FG, TD, FG" count as the same thing or different from "TD, FG, FG"? This video implicitly treats those as the same thing. And it turned out, that was everyone's intuitive decision as well. I didn't clarify that in any interview, and we all just assumed order shouldn't matter. Either way is perfectly valid, as long as you're clear whether how you want to count permutations. Doing it in a single pass counts those as separate things, so the numbers come out higher. Ex. for a target score of 5, the answer is 1 if you don't care about order (field goal + safety) or 2 if you do (FG+safety and safety+FG). In fact, you have to be careful about that in the tree too. You can't branch to scores smaller than the one you came from. That is, once you follow the 3pt branch, you stop branching to 2pts. It's worth trying it out to really see it. The single/multiple passes through the paper strip is the same thing
Fun little secret: the morning of the interviews, I had to scramble to update a bunch of things when the paper system numbers were coming out different from my code, and it was exactly this distinction 😆 I was doing it in a single pass by hand, and my code wasn't. The fun fire drills of launch day 🏈
@@LetsGetIntoItMedia Ah ok that makes perfect sense. I hadn't thought of that ordered-vs-unordered distinction. Thanks so much for the detailed answer!
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Nicely done! Keep em coming
Fun and educational! Looks like you had fun doing it as well.
Yeah, the interviewees were so nice and so fun! I enjoyed bantering with them, and our little friendly competitions 🤜🤛
Nice video! I dont understand why you need to seeprate passes for 2,3 etc. Cant you just put the stencil down once and then add up the numbers from the start-point of the 5 arrows? Then you only have one number in each box and you can complete it one pass. Let me know if that makes sense....I could write a quick program to clarify!
A very thoughtful question, thanks for asking! I decided to take out the explanation to keep it tight. In fact, I thought the same at first. But the numbers do come out different doing it in a single pass, and it has to do with doube-counting different permutations of scores
Ex. should "FG, TD, FG" count as the same thing or different from "TD, FG, FG"? This video implicitly treats those as the same thing. And it turned out, that was everyone's intuitive decision as well. I didn't clarify that in any interview, and we all just assumed order shouldn't matter.
Either way is perfectly valid, as long as you're clear whether how you want to count permutations.
Doing it in a single pass counts those as separate things, so the numbers come out higher. Ex. for a target score of 5, the answer is 1 if you don't care about order (field goal + safety) or 2 if you do (FG+safety and safety+FG).
In fact, you have to be careful about that in the tree too. You can't branch to scores smaller than the one you came from. That is, once you follow the 3pt branch, you stop branching to 2pts. It's worth trying it out to really see it.
The single/multiple passes through the paper strip is the same thing
Fun little secret: the morning of the interviews, I had to scramble to update a bunch of things when the paper system numbers were coming out different from my code, and it was exactly this distinction 😆 I was doing it in a single pass by hand, and my code wasn't. The fun fire drills of launch day 🏈
@@LetsGetIntoItMedia Ah ok that makes perfect sense. I hadn't thought of that ordered-vs-unordered distinction. Thanks so much for the detailed answer!
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