a) Given a chain of 60 links each weighing 1 g. Find the smallest number of links that need to be broken if we want to be able to get from the obtained parts all weights 1 g, 2 g, . . . , 59 g, 60 g? A broken link also weighs 1 g.b) Given a chain of 150 links each weighing 1 g. Find the smallest number of links that need to be broken if we want to be able to get from the obtained parts all weights 1 g, 2 g, . . . , 149 g, 150 g? A broken link also weighs 1 g. combinatoricsalgebraweighings