Question 117
The sum of several (not necessarily different) real numbers from $[0, 1]$ does not exceed $S$.
Find the maximal value of $S$ such that these numbers can always be partitioned into two groups with sums $A \le 8$ and $B \le 4$.
Find the maximal value of $S$ such that these numbers can always be partitioned into two groups with sums $A \le 8$ and $B \le 4$.