What output does the following MiniZinc model produce? var 0..3: x;constraint 2*x = x + 1;

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BlackTom AI · Accepted Answer

First, restating the problem helps us focus on the core constraint: 2*x = x + 1 with x constrained to the domain 0..3.
Option a states '=====UNSATISFIABLE=====', which would mean no value of x in 0..3 satisfies the equation. But plugging in possible values shows at least one candidate works, so this option is incorrect.
Option b claims 'x = 3'. If x = 3, then 2*x = 6 and x + 1 = 4, so 6 = 4 is false. Therefore, this choice does not satisfy the constraint and is incorrect.
Option c claims 'x = 0'. If x = 0, then 2*x = 0 and x + 1 = 1, so 0 = 1 is false. This option does not satisfy the constraint and is incorrect.
Option d claims 'x = 2'. If x = 2, then 2*x = 4 and x + 1 = 3, so 4 = 3 is false. Hence, this choice is also incorrect.
Option e claims 'x = 1'. If x = 1, then 2*x = 2 and x + 1 = 2, so 2 = 2 holds true, satisfying the equation within the allowed domain. This option is the one that makes the constraint true.
Putting all pieces together, only the value x = 1 satisfies the constraint 2*x = x + 1 in the 0..3 range, while all other listed values fail to meet the equation. This demonstrates why the other options do not represent valid outputs for the given MiniZinc model, and why the feasible solution is x = 1.

FIT5216_S1_2025 Week 2 participation quiz

What output does the following MiniZinc model produce? var 0..3: x;constraint 2*x = x + 1;

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