Question Number 195747 by Mastermind last updated on 09/Aug/23
Commented by AST last updated on 09/Aug/23
$${The}\:{total}\:{amount}\:{spent}\:{does}\:{not}\:{have}\:{to}\:{be} \\ $$$${necessarily}\:{equal}\:{to}\:{the}\:{sum}\:{of}\:{the}\:{remaining} \\ $$$${amount}\:{at}\:{each}\:{step}\:{of}\:{your}\:{spending}.\:{In}\:{fact}, \\ $$$${we}\:{can}\:{make}\:{that}\:{N}\mathrm{51}\:{grow}\:{arbitrarily}\:{large} \\ $$$${by}\:{spending}\:\epsilon\left({such}\:{as}\:\mathrm{0}.\mathrm{000000001}\right)\:{at}\:{every}\:{step}. \\ $$
Commented by Mastermind last updated on 09/Aug/23
$$\mathrm{Wow} \\ $$$$\mathrm{thank}\:\mathrm{you}\:\mathrm{man} \\ $$
Commented by Frix last updated on 09/Aug/23
$$\mathrm{It}'\mathrm{s}\:\mathrm{a}\:\mathrm{bit}\:\mathrm{like}\:\mathrm{counting}\:\mathrm{the}\:\mathrm{fingers}\:\mathrm{of}\:\mathrm{one} \\ $$$$\mathrm{hand}\:\mathrm{backwards}\:\&\:\mathrm{adding}\:\mathrm{the}\:\mathrm{other}\:\mathrm{hand}: \\ $$$$\mathrm{Left}\:\mathrm{hand}:\:\mathrm{10}−\mathrm{9}−\mathrm{8}−\mathrm{7}−\mathrm{6} \\ $$$$\mathrm{Right}\:\mathrm{hand}:\:\mathrm{5} \\ $$$$\mathrm{6}+\mathrm{5}=\mathrm{11} \\ $$