diff options
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/sorting |
Exported all problems from the SQLite database into the new directory structure.
Diffstat (limited to 'prolog/problems/sorting')
-rw-r--r-- | prolog/problems/sorting/is_sorted_1/common.py | 13 | ||||
-rw-r--r-- | prolog/problems/sorting/is_sorted_1/en.py | 14 | ||||
-rw-r--r-- | prolog/problems/sorting/isort_2/common.py | 18 | ||||
-rw-r--r-- | prolog/problems/sorting/isort_2/en.py | 12 | ||||
-rw-r--r-- | prolog/problems/sorting/pivoting_4/common.py | 15 | ||||
-rw-r--r-- | prolog/problems/sorting/pivoting_4/en.py | 12 | ||||
-rw-r--r-- | prolog/problems/sorting/quick_sort_2/common.py | 24 | ||||
-rw-r--r-- | prolog/problems/sorting/quick_sort_2/en.py | 12 | ||||
-rw-r--r-- | prolog/problems/sorting/sins_3/common.py | 14 | ||||
-rw-r--r-- | prolog/problems/sorting/sins_3/en.py | 14 | ||||
-rw-r--r-- | prolog/problems/sorting/slowest_sort_ever_2/common.py | 25 | ||||
-rw-r--r-- | prolog/problems/sorting/slowest_sort_ever_2/en.py | 12 |
12 files changed, 185 insertions, 0 deletions
diff --git a/prolog/problems/sorting/is_sorted_1/common.py b/prolog/problems/sorting/is_sorted_1/common.py new file mode 100644 index 0000000..2feb134 --- /dev/null +++ b/prolog/problems/sorting/is_sorted_1/common.py @@ -0,0 +1,13 @@ +id = 121 +group = 'sorting' +number = 28 +visible = True +facts = None + +solution = '''\ +is_sorted([]). +is_sorted([_]). +is_sorted([H1,H2|T]) :- + H1 =< H2, + is_sorted([H2|T]). +''' diff --git a/prolog/problems/sorting/is_sorted_1/en.py b/prolog/problems/sorting/is_sorted_1/en.py new file mode 100644 index 0000000..c4bd025 --- /dev/null +++ b/prolog/problems/sorting/is_sorted_1/en.py @@ -0,0 +1,14 @@ +id = 121 +name = 'is_sorted/1' +slug = 'check if list is sorted' + +description = '''\ +<p><code>is_sorted(L)</code>: the elements of list <code>L</code> are sorted in non-decreasing order.</p> +<pre> + ?- is_sorted([2,3,6,8,12]). + true. + ?- is_sorted([2,3,1,6,5]). + false. +</pre>''' + +hint = {} diff --git a/prolog/problems/sorting/isort_2/common.py b/prolog/problems/sorting/isort_2/common.py new file mode 100644 index 0000000..0b1aa47 --- /dev/null +++ b/prolog/problems/sorting/isort_2/common.py @@ -0,0 +1,18 @@ +id = 123 +group = 'sorting' +number = 30 +visible = True +facts = None + +solution = '''\ +sins123(X, [], [X]). +sins123(X, [Y|T], [X,Y|T]) :- + X =< Y. +sins123(X, [Y|T], [Y|L]) :- + X > Y, + sins123(X, T, L). +isort([], []). +isort([H|T], SL) :- + isort(T, ST), + sins123(H, ST, SL). +''' diff --git a/prolog/problems/sorting/isort_2/en.py b/prolog/problems/sorting/isort_2/en.py new file mode 100644 index 0000000..3a3dea0 --- /dev/null +++ b/prolog/problems/sorting/isort_2/en.py @@ -0,0 +1,12 @@ +id = 123 +name = 'isort/2' +slug = 'sort a list using insertion sort' + +description = '''\ +<p><code>isort(L, SL)</code>: the list <code>SL</code> contains the elements of <code>L</code> sorted in non-decreasing order. Use the predicate <code>sins/3</code> to implement insertion sort.</p> +<pre> + ?- isort([2,3,1,5,4], L). + L = [1,2,3,4,5]. +</pre>''' + +hint = {} diff --git a/prolog/problems/sorting/pivoting_4/common.py b/prolog/problems/sorting/pivoting_4/common.py new file mode 100644 index 0000000..278f694 --- /dev/null +++ b/prolog/problems/sorting/pivoting_4/common.py @@ -0,0 +1,15 @@ +id = 124 +group = 'sorting' +number = 31 +visible = True +facts = None + +solution = '''\ +pivoting(_, [], [], []). +pivoting(P, [H|T], [H|S], G) :- + H =< P, + pivoting(P, T, S, G). +pivoting(P, [H|T], S, [H|G]) :- + H > P, + pivoting(P, T, S, G). +''' diff --git a/prolog/problems/sorting/pivoting_4/en.py b/prolog/problems/sorting/pivoting_4/en.py new file mode 100644 index 0000000..4a1ab8c --- /dev/null +++ b/prolog/problems/sorting/pivoting_4/en.py @@ -0,0 +1,12 @@ +id = 124 +name = 'pivoting/4' +slug = 'split a list according to the pivot' + +description = '''\ +<p><code>pivoting(P, L, S, G)</code>: the list <code>S</code> contains the elements of <code>L</code> <em>smaller or equal to</em> <code>P</code>, and the list <code>G</code> contains the elements of <code>L</code> <em>greater than</em> <code>P</code>. The order of elements in <code>S</code> and <code>G</code> should be the same as in <code>L</code>.</p> +<pre> + ?- pivoting(4, [1,4,5,8,6,4,2], S, G). + S = [1,4,4,2], G = [5,8,6]. +</pre>''' + +hint = {} diff --git a/prolog/problems/sorting/quick_sort_2/common.py b/prolog/problems/sorting/quick_sort_2/common.py new file mode 100644 index 0000000..5eff940 --- /dev/null +++ b/prolog/problems/sorting/quick_sort_2/common.py @@ -0,0 +1,24 @@ +id = 125 +group = 'sorting' +number = 32 +visible = True +facts = None + +solution = '''\ +conc125([], L, L). +conc125([H|T], L2, [H|L]) :- + conc125(T, L2, L). +pivoting125(_, [], [], []). +pivoting125(P, [H|T], [H|S], G) :- + H =< P, + pivoting125(P, T, S, G). +pivoting125(P, [H|T], S, [H|G]) :- + H > P, + pivoting125(P, T, S, G). +quick_sort([], []). +quick_sort([Pivot|T], Sorted) :- + pivoting125(Pivot, T, Smaller, Greater), + quick_sort(Smaller, SortedSmaller), + quick_sort(Greater, SortedGreater), + conc125(SortedSmaller, [Pivot|SortedGreater], Sorted). +''' diff --git a/prolog/problems/sorting/quick_sort_2/en.py b/prolog/problems/sorting/quick_sort_2/en.py new file mode 100644 index 0000000..b0d4ce1 --- /dev/null +++ b/prolog/problems/sorting/quick_sort_2/en.py @@ -0,0 +1,12 @@ +id = 125 +name = 'quick_sort/2' +slug = 'sort a list using quicksort' + +description = '''\ +<p><code>quick_sort(L, SL)</code>: the list <code>SL</code> contains the elements of <code>L</code> sorted in non-decreasing order. Use the predicate <code>pivoting/4</code> to implement quicksort.</p> +<pre> + ?- quick_sort([2,3,1,5,4], L). + L = [1,2,3,4,5]. +</pre>''' + +hint = {} diff --git a/prolog/problems/sorting/sins_3/common.py b/prolog/problems/sorting/sins_3/common.py new file mode 100644 index 0000000..8ebfee4 --- /dev/null +++ b/prolog/problems/sorting/sins_3/common.py @@ -0,0 +1,14 @@ +id = 122 +group = 'sorting' +number = 29 +visible = True +facts = None + +solution = '''\ +sins(X, [], [X]). +sins(X, [Y|T], [X,Y|T]) :- + X =< Y. +sins(X, [Y|T], [Y|L]) :- + X > Y, + sins(X, T, L). +''' diff --git a/prolog/problems/sorting/sins_3/en.py b/prolog/problems/sorting/sins_3/en.py new file mode 100644 index 0000000..684a619 --- /dev/null +++ b/prolog/problems/sorting/sins_3/en.py @@ -0,0 +1,14 @@ +id = 122 +name = 'sins/3' +slug = 'insert an element at correct position into a sorted list' + +description = '''\ +<p><code>sins(X, SortedList, NewList)</code>: the list <code>NewList</code> is obtained by inserting <code>X</code> into <code>SortedList</code> at the correct position to preserve the non-decreasing order of elements.</p> +<pre> + ?- sins(4, [1,2,3,5], L). + L = [1,2,3,4,5]. + ?- sins(3, [1,2,3,4], L). + L = [1,2,3,3,4]. +</pre>''' + +hint = {} diff --git a/prolog/problems/sorting/slowest_sort_ever_2/common.py b/prolog/problems/sorting/slowest_sort_ever_2/common.py new file mode 100644 index 0000000..5f4c283 --- /dev/null +++ b/prolog/problems/sorting/slowest_sort_ever_2/common.py @@ -0,0 +1,25 @@ +id = 126 +group = 'sorting' +number = 33 +visible = True +facts = None + +solution = '''\ +del126(X, [X|T], T). +del126(X, [Y|T], [Y|L]) :- + del126(X, T, L). + +permute126([], []). +permute126(L, [X|P]) :- + del126(X, L, L1), + permute126(L1, P). + +is_sorted126([_]). +is_sorted126([H1,H2|T]) :- + H1 =< H2, + is_sorted126([H2|T]). + +slowest_sort_ever(L, S) :- + permute126(L, S), + is_sorted126(S). +''' diff --git a/prolog/problems/sorting/slowest_sort_ever_2/en.py b/prolog/problems/sorting/slowest_sort_ever_2/en.py new file mode 100644 index 0000000..3018ec6 --- /dev/null +++ b/prolog/problems/sorting/slowest_sort_ever_2/en.py @@ -0,0 +1,12 @@ +id = 126 +name = 'slowest_sort_ever/2' +slug = 'sort a list by randomly permuting elements' + +description = '''\ +<p><code>slowest_sort_ever(L, SL)</code>: the list <code>SL</code> contains the elements of <code>L</code> sorted in non-decreasing order. Average and worst case running time is O(n * n!).</p> +<pre> + ?- slowest_sort_ever([2,3,1,5,4], L). + L = [1,2,3,4,5]. +</pre>''' + +hint = {} |