The story

The Stymphalean birds were monsters. They were man-eating birds with beaks of bronze and sharp metallic feathers they could launch at their victims. They had destroyed the local crops and fruit trees before Hercules was tasked with killing them. Athena gave Hercules a rattle that he could use to scare the birds off so he could then shoot them down with his bow.

The game

It turns out that shaking the rattle in a specific way would induce absolute terror in the birds. Let $L$ represent shaking the rattle to the left, and $R$ to the right. Then, using the game introduced in Problem 79, enter the string that has the value $4.740234375$.