Problem: A residential development begins with homes alternating on half$-$lot and full$-$lots. The first address is at $100$

and is a half$-$lot. The next lot is a full$-$lot with an address of $101.$ Continuing this alternating series of half$-$lots and full$-$

lots the third home would be at address $103$ on a half$-$lot. There is no address $102.$

Neighboring homes share a single driveway along the border of the adjacent properties. The first driveway, shared by the

homes at $100$ and $101,$ would enter from North Road while the second driveway, shared by homes at $103$ and $104,$ would

enter from the South Road. A similar alternating direction of entry onto the properties continues through the development.

Given an address and the dimensions of a full lot, determine whether the lot is a half$-$lot $(\text{'}$ H $\text{'})$ or full$-$lot $(\text{'}$ F $\text{'})$ and the road

to which the driveway is connected, either North Road $(\text{'}$N$\text{'})$ or South Road $(\text{'}$S$\text{'}).$ Lastly, display the lot size which is the

area for a full$-$lot and half of the area for a half$-$lot.

The address given will be no less than $100.$ Addresses such as $102$ are invalid, see the example executions that follow for

a demonstration of how to handle invalid addresses.

Your program must accept input and produce output that matches exactly to the given executions.

Example Execution #$1$:

Enter property address $100$

Enter property length $5$

Enter property width $5$

Property Type: H

Drive Entry: N

Lot Size: $12\mathrm{.}5$

Example Execution #$3($invalid address$)$:

Enter property address $102$

Enter property length $44$

Enter property width $55$

Property Type: I

Drive Entry: I

Lot Size: $0\mathrm{.}0$

Example Execution #$2$:

Enter property address $->101$

Enter property length $->5$

Enter property width $->5$

Property Type: F

Drive Entry: N

Lot Size: $25\mathrm{.}0$

Example Execution #$4$:

Enter property address $->110$

Enter property length $->4\mathrm{.}1$

Enter property width $->10\mathrm{.}2$

Property Type: F

Drive Entry: S

Lot Size: $41\mathrm{.}8$

You cannot use if statements, boolean operators, or operants like $\text{'}==\text{'}$ or $\text{'}!=\text{'}$ in the code. You must exclusively use mathematical equations.