[SOLVED] ECS 140A Homework Assignment #4

ECS 140A
Homework Assignment #4
Due no later than 9:00pm Tuesday, December 3, 2019
If you take a look at some Prolog programming texts you’ll find solutions to most, if not
all, of these problems. A little web surfing will locate solutions as well. However, you
really want to do as much as you can without those aids, because you wont have those
resources during your final exam. Also, this is not to be a team effort.
You may need to write additional procedures other than the ones listed here to make
things work be sure to include those when you submit your solutions. Submit your
solutions via Canvas as a single file named “hw4.pl”.
Grading for problems 1 through 4 will be on a 3-point scale for each solution (4
problems x 3 points maximum per solution = 12 points maximum). Problem 5 will be
graded differently.
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Problem 1: Write a procedure
shuffle(L1, L2, L3)
which returns true if list L3 is the result combining lists L1 and L2 such that the first
element of L3 is the first element of L1, the second element of L3 is the first element of
L2, the third element of L3 is the second element of L1, and so on. For example,
shuffle([a,b,c],[d,e,f],[a,d,b,e,c,f])
returns true. You may assume that L1 and L2 have the same number of elements. This
should also work:
?- shuffle(X,Y,[1,2,3,4,5,6]).
X = [1, 3, 5],
Y = [2, 4, 6].
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Problem 2: Write a procedure
double(L1, L2)
which returns true if every element in list L1 appears twice in L2, according to the
pattern in the following example:
?- double([a,b,c],[a,a,b,b,c,c]).
true.
Note that the elements that are duplicated are also adjacent to each other.
These cases should also work:
?- double(X,[a,a,b,b,c,c]).
X = [a, b, c].
?- double([a,b,c],X).
X = [a, a, b, b, c, c].
This case should not work:
?- double([a,b,c],[a,b,c,a,b,c]).
false.
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Problem 3: Write a procedure
no_duplicates(L1, L2)
which returns true if list L2 is the result of removing all duplicate elements from list L1.
For example,
no_duplicates([a,b,c,b,d,b],[a,c,d,b])
returns true (note that the last duplicate ‘b’ is the one that remains). This should also
work:
?- no_duplicates([a,b,c,b,d,b],X).
X = [a, c, d, b] ;
X = [a, c, d, b] ;
false.
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Problem 4: Write a procedure
same_elements(L1, L2)
which returns true if lists L1 and L2 contain exactly the same elements, although
possibly in different order. For example,
same_elements([a,b,c],[b,c,a])
same_elements([a,b,c],[a,c,b])
same_elements([a,b,c],[c,b,a])
all return true. This should also work:
?- same_elements([a,b,c],X).
X = [a, b, c] ;
X = [b, a, c] ;
X = [b, c, a] ;
X = [a, c, b] ;
X = [c, a, b] ;
X = [c, b, a] ;
false.
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Problem 5: Using the minidoku program that we explored in class as inspiration, create
a sudoku problem solver that works with any 9×9 grid as described in the slide that
defines the sudoku problem. Your solution should be fast when few spaces in the grid
are unfilled, but it can be slower (even astronomically slower) when more spaces are
unfilled, just like our demonstration in class. You will find the minidoku code in your
lecture slides. The skeleton code (i.e., you fill in the missing parts) for the 9×9 solution
can be found in sudokusolver.pl.
Add your code to the existing skeleton and submit your result via Canvas as a separate
file called sudoku.pl (not hw4.pl).