BMI — ARC-style Body Mass Index example

Answer
BMI = 22.72
Category = Normal
At height 178 cm, a healthy-weight range is about 58.6–78.9 kg (BMI 18.5–24.9).

Reason Why
BMI is defined as weight in kilograms divided by height in meters squared. This program first normalizes the input to SI units, computes BMI, and then applies WHO adult categories as half-open intervals. The healthy-weight band is the weight range at the same height that corresponds to BMI 18.5 through 24.9.

Check
C1 OK - the input was normalized into positive SI values.
C2 OK - height squared was reconstructed from the normalized height.
C3 OK - the BMI value matches the BMI = kg / m² formula.
C4 OK - a BMI of 18.49 stays below the normal-weight threshold.
C5 OK - the lower boundary is half-open: BMI 18.5 is classified as Normal.
C6 OK - BMI 25.0 starts the Overweight category.
C7 OK - BMI 30.0 starts the Obesity I category.
C8 OK - classification behavior is monotonic across representative BMI values.
C9 OK - the healthy-weight band was reconstructed from BMI 18.5 to 24.9 at the same height.