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author | Aleš Smodiš <aless@guru.si> | 2015-08-18 16:06:19 +0200 |
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committer | Aleš Smodiš <aless@guru.si> | 2015-08-18 16:06:19 +0200 |
commit | 95e2fe57f6e4639f6ae9f1fef368829d5090dbf6 (patch) | |
tree | 462ba05eb0c4732ca1c97739548801258bf47b40 /prolog/problems/dcg/expr_3 |
Exported all problems from the SQLite database into the new directory structure.
Diffstat (limited to 'prolog/problems/dcg/expr_3')
-rw-r--r-- | prolog/problems/dcg/expr_3/common.py | 24 | ||||
-rw-r--r-- | prolog/problems/dcg/expr_3/en.py | 14 |
2 files changed, 38 insertions, 0 deletions
diff --git a/prolog/problems/dcg/expr_3/common.py b/prolog/problems/dcg/expr_3/common.py new file mode 100644 index 0000000..daa5b31 --- /dev/null +++ b/prolog/problems/dcg/expr_3/common.py @@ -0,0 +1,24 @@ +id = 171 +group = 'dcg' +number = 78 +visible = False +facts = None + +solution = '''\ +expr(N) --> term171(N). +expr(N) --> term171(N1), [+], expr(N2), {N is N1 + N2}. + +term171(N) --> factor171(N). +term171(N) --> factor171(N1), [*], term171(N2), {N is N1 * N2}. + +factor171(N) --> number171(N). +factor171(N) --> ['('], expr(N), [')']. + +memb171(X, [X|_]). +memb171(X, [_|T]) :- + memb171(X, T). + +digit171(N) --> [N], { memb171(N, [0,1,2,3,4,5,6,7,8,9]) }. +number171(N) --> digit171(N). +number171(N) --> number171(N1), digit171(D), { N is 10*N1 + D }. +''' diff --git a/prolog/problems/dcg/expr_3/en.py b/prolog/problems/dcg/expr_3/en.py new file mode 100644 index 0000000..3f91977 --- /dev/null +++ b/prolog/problems/dcg/expr_3/en.py @@ -0,0 +1,14 @@ +id = 171 +name = 'expr/3' +slug = 'arithmetic expressions with meaning' + +description = '''\ +<p>Write a DCG with the starting symbol <code>expr</code> for the language of arithmetic expressions consisting of numbers (without leading zeros), addition and multiplication. Subexpressions can be grouped using parentheses. The meaning of a word in this language is the numeric value of the represented arithmetic expression.</p> +<p>Example words: <code>(1+2)*3</code>, <code>42*8*3</code>, <code>(2+1)*(3+4)</code>.</p> +<pre> + ?- expr(N, ['(',2,'+',1,')','*','(',3,'+',4,')'], []). % (2+1)*(3+4) = 21 + N = 21. +</pre> +''' + +hint = {} |