from If you want to go fast, go alone; if you want to go far, go together. Mathematical consideration of what conditions will “go far if we all go together” when they are met.
nishio After mathematically considering what conditions are met when “we can go farther if we all go together,” I realized that if the amount of food one person can carry is 100 days’ worth of food, if one person If one person carries 100 days worth of food, one person can only go 100 days, but if 10 people go together and one person is dismissed on the 10th day, they can go 110 days. We can certainly go farther.
-
nishio In other words, humans are a labor force that “transports food” and embraces the cost of “consuming food,” so if there is less food to eat and less to transport, the labor If the need decreases, it means that cost-effectiveness can be improved by reducing the number of humans. This is certainly not possible when one is going it alone.
-
nishio The first person’s dismissal extends 100/10 for 10 days, the second person’s dismissal extends 100/9 for 11 days, so the last person can go a whopping double or more farther!
-
nishio No one knows what happened to the person who was laid off without food in the middle of the desert afterwards. Maybe their livelihood is protected by being connected to the public welfare. I think they are living a minimum healthy and cultural life. In the middle of the desert.
-
nishio There was no such thing as a cultural life!
-
khmlpy: I remember an old puzzle book I bought? I remember that it took into account a pretty dark place: … if you eat the person you fired in the book.
@kimonuruwota: @nishio If you start with 99 people and on the first day one person distributes 98 meals minus food for his return, the remaining 98 On the next day, if the second person distributes 97 meals minus food for his/her return, the remaining 97 people will have 100 meals, and on the 98th day, there will be one person left with 100 meals, so you can proceed for almost double the number of days without sacrificing a single person. White!
yuniruyuni I’m not sure if the story meets your intent, but if you want to stretch it under that setting, you might ask people to do a round trip with food. For the first section, have 10 people go 45 days with 1000 food. At this point, you will have 550 food left, so you can use 450 to get back to where you started, while leaving 100 to one person. This method can be recursive.
kokorinn_666 Note that you can get close results without sacrificing a single person, just by having them go back and forth endlessly.
@sakuracycling: road race came to mind. It’s like a team of teammates taking turns being the “fastest” to carry the ace to the finish line, taking turns being the windshield. The winner is an individual, but it is overwhelmingly a team game. I actually like the scene where the riders who have run out of legs and have done their part fall out of the group, it’s cool.
@CordwainersCat:multistage rocket logic. When you run out of fuel, you detach that entire rocket to reduce weight.
@sjkimura: this reminds me of Operation Black Buck from the Falklands conflict. (A very complicated operation that used multiple combinations of aerial refueling aircraft to get bombers farther away).
@k34615: amundsen’s ironclad rule for polar expeditions. (pull a dog sled and proceed to your destination, killing the dog as your load decreases along the way) polar law
@nagise: given the realities of camping and such, it would be like a group is better than a solo group because the encampment part has economies of scale 🤔
This page is auto-translated from /nishio/どういう条件が満たされた時に「みんなで行けば遠くに行ける」のかを数学的に考察 using DeepL. If you looks something interesting but the auto-translated English is not good enough to understand it, feel free to let me know at @nishio_en. I’m very happy to spread my thought to non-Japanese readers.