On a superhydrophobic surface, $N$ identical, nearly spherical liquid droplets of radius $r$ coalesce simultaneously into a single droplet. Surface tension stores a fixed energy per unit area, and assuming $100\%$ conversion of the released surface energy into translational kinetic energy, the merged droplet jumps to height $h_N$. Let $h_2$ denote the jump height for $N = 2$, and let $h_\infty = \lim_{N \to \infty} h_N$ (with $r$ fixed). What is the ratio $h_\infty / h_2$?