Three heat engines, 1, 2, and 3, each operate on a Carnot cycle between a hot reservoir at absolute temperature \(T_H\) and a cold reservoir at absolute temperature \(T_C\). The operating temperatures for each engine are given in the table.

Engine	Hot Reservoir Temperature \(T_H\)	Cold Reservoir Temperature \(T_C\)
1	\(600 \text{ K}\)	\(300 \text{ K}\)
2	\(500 \text{ K}\)	\(200 \text{ K}\)
3	\(400 \text{ K}\)	\(100 \text{ K}\)

Which of the following correctly ranks the ideal thermal efficiencies \(e_1\), \(e_2\), and \(e_3\) of the three engines?