Table Strength

You have $N$ table legs, of different strengths. Pillar $i$ can bear a weight of $W_i$, and will break if it has to bear a larger weight. You'd like to construct a table using some non-empty [subset](https://en.wikipedia.org/wiki/Subset) of these table legs. When you place a weight on a table, its load is **equally distributed** to each of its legs. For example, if you build a table with $4$