What does the following MiniZinc model print as output: var 0..3: x;var 1..4: y;constraint x = y;

Question

BlackTom AI · Accepted Answer

To tackle this question, first note the two variables and their domains: x ranges from 0 to 3, and y ranges from 1 to 4. The constraint x = y requires x and y to take the same value within these overlapping possibilities.

Option a. 'a. =====UNSATISFIABLE=====': This is incorrect because there is an overlap between the domains (for example, x = 1, y = 1 satisfies both the domains and the constraint). Therefore, the system is not unsatisfiable.

Option b. 'b. x = 2; y = 2;': This is a valid solution because 2 lies in both domains (0..3 for x and 1..4 for y) and satisfies the constraint x = y. In solver outputs, a feasible assignment that is discovered by the search process is often reported; here, this particular pair is one such valid solution that could be printed.

Option c. 'c. x = 3; y = 3;': This is also a valid solution since 3 is in both domains and satisfies x = y. However, the question asks what the model prints as output, and among the provided options this specific pair (3,3) is not the one listed as the printed result, so selecting it would be inconsistent with the given answer options.

Option d. 'd. x = 1; y = 1;': This is another valid solution because 1 is in both domains and satisfies the constraint. Similar to option c, while it is a legitimate solution, the exact printed output described in the question does not match this option.

Option e. 'e. x = 0; y = 0;': This is invalid because y cannot be 0 (its domain begins at 1). Hence this cannot be a solution to the model.

In summary, the model has several valid solutions (1,1), (2,2), and (3,3) that satisfy x = y with the given domains. The specific output printed by the MiniZinc model depends on the solver’s search order and internal heuristics; among the options provided, the listed correct choice corresponds to one feasible solution that could be printed, namely x = 2 and y = 2. The other valid pairs (1,1) and (3,3) are not the printed outputs according to the provided answer choices, while the unsatisfiable option and the invalid (0,0) option are incorrect for the stated reasons.

FIT5216_S1_2025 Week 2 participation quiz

What does the following MiniZinc model print as output: var 0..3: x;var 1..4: y;constraint x = y;

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FIT5216_S1_2025 Week 2 participation quiz

What does the following MiniZinc model print as output: var 0..3: x;var 1..4: y;constraint x = y;

View Explanation

Log in for full answers

Similar Questions

What is the value of h in the following var 0..100: x = y + 2; var 4..7: y; int: h = lb(x);

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Making Your Study Simpler

What does the following MiniZinc model print? var 0..3: x;var 1..4: y;constraint y = x + 1;constraint 2y + 3x = 12;

What does the following MiniZinc model print? var 0..3: x;var 1..4: y;constraint y = x + 1;constraint 2y + 3x = 12;