Problem $1$: The following are formulas for calculating the training heart rate

$($THR$)$:

$THR=(MHR-RHR)$ INTEN $+RHR$

where MHR is the maximum heart rate.

For males:

$MHR=\frac{203\mathrm{.}7}{1+e^{0\mathrm{.}033(\text{a}\text{g}\text{e}-104\mathrm{.}3)}}$

For females:

$MHR=\frac{190\mathrm{.}2}{1+e^{0\mathrm{.}0453(\text{a}\text{g}\text{e}-107\mathrm{.}5)}}$

RHR is the resting heart rate, and INTEN the fitness level $(0\mathrm{.}55$ for low, $0\mathrm{.}65$ for

medium, and $0\mathrm{.}8$ for high fitness$).$

Write a program that determines the THR$.$ The program asks users to enter their

gender $($male $\text{'}{M}^{\text{'}}\text{'}$ or female $\text{'}F\text{'}),$ age $($number$),$ resting heart rate $($number$),$ and

fitness level $($low $\text{'}$L$\text{'},$ medium $\text{'}$M$\text{'},$ or high $\text{'}$H$\text{'}).$ The program then displays the

training heart rate $($rounded to the nearest integer$).$

Use the program for determining the training heart rate for the following three

individuals:

$($a$)$ A $19-$year$-$old male, resting heart rate of $64,$ and medium fitness level.

$($b$)$ A $20-$year$-$old female, resting heart rate of $63,$ and high fitness level.

$($c$)$ A $63-$year old male, resting heart rate of $82,$ and low fitness level.