240 Chapter 7. Syntax-Directed Translation Start Digs 431 1 Start Digs,ns $ Digs call PRINT ans) 2 DigSupDigsbelow dnext up below 10 + next | dfirst up first Figure 7.3: (a) Grammar with semantic actions; (b) Parse tree and propagated semantic values for the input 4 3 1 s 1. Consider a right-recursive formulation for Digs of Figure 7.3, resulting in the following grammar 1 Start Digs,ns $ call PRINT ans) 2 Digs,pd,ext Digsbelow up below 10 + next irst up first Are the semantic actions still correct? If so, explain why they are still valid; if not, provide a set of semantic actions that does the job properly