Question 98
(1) Can one divide the set $\{1, 2, \ldots, 96\}$ into $32$ subsets, each containing three elements, and the sums of the three elements in each subset are all equal?
(2) Can one divide the set $\{1, 2, \ldots, 99\}$ into $33$ subsets, each containing three elements, and the sums of the three elements in each subset are all equal? (Posed by Liu Shixiong)
(2) Can one divide the set $\{1, 2, \ldots, 99\}$ into $33$ subsets, each containing three elements, and the sums of the three elements in each subset are all equal? (Posed by Liu Shixiong)