Nice challenge, but a number of sample problems would be good as test cases and to indicate a unified way of providing the problem data.
I guess something like: <target time> <, timer time>+ would be appropriate. So your sample problem could be specified as:
3, 7, 4
with the answer provided as:
begin 7, begin 4
ends 4, begin cooking
ends 7, end cooking (time = 3)
DWIM is Perl's answer to Gödel
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