Question: Construct an unambiguous context free grammar for the following: Strings of decimal (i.e., base 10) digits that correspond to multiples of three. This grammar should

Construct an unambiguous context free grammar for the following:

Strings of decimal (i.e., base 10) digits that correspond to multiples of three. This grammar should use the ten digit symbols, 0, 1, 2, ..., 9 as individual tokens; no other tokens should be included. The empty string, as well as strings with leading zeros, are permitted.

Examples: "" "0" "3" "1 2" "7 8" "1 6 2" "0 7 1 7"

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