Obesity Problem

Problem Source

Luogu P5714

Problem Description

The BMI (Body Mass Index) is an internationally common standard for measuring whether a person is overweight or underweight. Its formula is $\dfrac{m}{h^2}$, where $m$ is body weight (in kilograms) and $h$ is height (in metres). The categories and judgments are as follows:

• Less than $18.5$: underweight, output Underweight;
• Greater than or equal to $18.5$ and less than $24$: normal weight, output Normal;
• Greater than or equal to $24$: obese — not only output the BMI value (in cout's default precision), then a newline, but also output Overweight;

Given weight and height data, judge the body type according to the BMI and output the corresponding judgment.

For non-C++ languages, when outputting, round to six significant digits; if there is a trailing $0$ in the fractional part, do not output that trailing $0$.

Note that keeping six significant digits is not the same as keeping six decimal places. For example, $123.4567$ should be output as $123.457$, and $5432.10$ should be output as $5432.1$.

Input Format

One line in total.

The first line contains $2$ real numbers, $m, h$, representing body weight (in kg) and height (in m) respectively.

Output Format

Output one line containing a string representing the BMI-based judgment. In particular, follow the statement for the special handling of the Overweight case.

Sample Input 1

70 1.72

Sample Output 1

Normal

Sample Input 2

100 1.68

Sample Output 2

35.4308
Overweight

Hint

• The BMI formula is given in the statement. Among the four outputs, one must print the BMI value first, then a newline, then the word — re-read the statement to confirm which case and what order.
• Just print BMI with cout's default format; don't add setprecision (think about why: sample 2 prints 35.4308).
• Check against the sample: 70 1.72 → Normal.

For all data, $40\le m \le 120$, $1.4 \le h \le 2.0$. The numbers of decimal places in $m$ and $h$ do not exceed three.