Question 101
100 dwarves whose weights are $1$, $2$, $\ldots$, $100$ lb came to the left bank of a river. They cannot swim, but they have a boat which can take up to $100$ lb. When a boat crosses the river, one of the dwarves in it is an oarsman; while performing one crossing, the oarsman remains the same. Due to the stream, it is difficult to oar from the right bank to the left one, so each dwarf can oar in this direction at most once. Can the whole company of dwarves reach the right bank?