[00:02] string and you drop them into a box. You reach in and blindly grab two random ends and then you tie those ends together and then you do it again. You choose two more ends of the strings at random, tie them together, and put the [00:16] result back in. Choose another two, tie those together, and so on and so forth. >> Every now and then you grab two ends of the same string, meaning when you tie them together you form a loop. In fact, [music] the end condition here, when [00:28] there are no more endpoints left, is one where all you have are loops inside that box. In this example that started with 10 total strings, we end up with three total loops. Here's your puzzle. If instead we started with 50 total strings [00:43] and you go through this whole process tying random ends together 50 times, how with? >> [music] >> By the way, for solutions to these monthly puzzles, rather than making [00:55] individual videos for each one, what I've decided to do is make longer form videos that package together ones that have similar themes or problem-solving tactics in their solutions. For the last two puzzles, I have previews of those [01:07] solutions up on Patreon and in general Patreon is probably your best bet for made. This isn't like a gimmick just to get more support, it's just genuinely a little bit of feedback before their final form.