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

The question asks what output the MiniZinc model will produce given a simple constraint system. 
Option a: 'x = 0' would require 2*x = x + 1 to hold, which becomes 0 = 1, a contradiction. Therefore this assignment cannot satisfy the constraint.
Option b: 'x = 3' leads to 2*3 = 6 on the left and x+1 = 4 on the right, so 6 = 4 is false; this option fails to satisfy the constraint.
Option c: 'x = 1' makes 2*x = 2 and x+1 = 2, so the equation 2*x = x+1 is satisfied. Additionally, x is within the declared domain 0..3, so this is a valid solution.
Option d: '=====UNSATISFIABLE=====' asserts there is no solution, which contradicts the existence of x = 1 that does satisfy the constraint within the allowed domain.
Option e: 'x = 2' yields 2*2 = 4 on the left and x+1 = 3 on the right, so 4 = 3 is false; this option does not meet the constraint.
Overall, only the third option fulfills the equation and respects the domain, while the others fail due to a mismatch in the equation or domain constraints.

FIT5216 - MUM 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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