BMI category

Problem

A fitness app works out the Body Mass Index: BMI = weight in kg ÷ (height in metres)². The categories are:

Read the weight in kg and the height in centimetres, and print the BMI with two decimal places and the category.

Example 1

Input

70 175

Output

BMI: 22.86
Normal

70 ÷ 1.75² = 22.857…, which is Normal.

Example 2

Input

64 160

Output

BMI: 25.00
Overweight

64 ÷ 1.6² is exactly 25.00, so it is already Overweight.

Try the problem first. Open one hint at a time.

Hint 1

Convert centimetres to metres by dividing by 100, or use BMI = weight × 10000 ÷ height², which avoids decimals until the last step.

Hint 2

Make sure the division is done in double, not int.

Hint 3

Each category has a lower bound that is included, so test bmi < 18.5, then bmi < 25, then bmi < 30.

Write your Java code, run it on the examples and submit it to hidden tests.