One-pass walk tracking current depth and a high-water mark:
let max_depth s =
let d = ref 0 in
let m = ref 0 in
for i = 0 to String.length s - 1 do
if s.[i] = '(' then begin
d := !d + 1;
if !d > !m then m := !d
end
else if s.[i] = ')' then d := !d - 1
done;
!m
Three inputs:
'((1+2)*(3-(4+5)))' 3 (innermost (4+5) at depth 3)
'(((deep)))' 3
'()()()' 1 (no nesting)
sum 7
Tests for-loop char comparison s.[i] = '(' and the high-water-mark
idiom with two refs.
78 baseline programs total.
giles
89726ed6c2