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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BlackTom AI · Accepted Answer

The question asks for the value of h in a small piece of pseudocode-like constraints.
First, we have x = y + 2, and y is defined within the range 4..7, so y ∈ {4,5,6,7}.
Substituting these possibilities into x gives x = y + 2 ∈ {6,7,8,9}, i.e., the possible values of x are between 6 and 9 inclusive.
Next, x is declared within the overall domain 0..100 (var 0..100: x). The function lb(x) typically means the lower bound (or smallest admissible value) of x within its domain, given the possible values x can take.
Since the smallest possible value of x from the previous step is 6, the lower bound lb(x) corresponds to 6.
Therefore, h, defined as int: h = lb(x), evaluates to 6. 
Note: the provided answer options are missing here, so the conclusion is drawn directly from the constraints given: the smallest feasible x is 6, which sets h to 6.

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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