Problem $5$: Box Shipping

Write a program to calculate the total shipping cost for a package based on its weight and shipping distance. The program prompts the user to input the weight of the package in kilograms $($weight must be at least $1$ KG $)$ and the shipping distance in kilometers $($distance must be positive$).$ The program then calculates the shipping cost based on the following criteria:

For Weight $5kg($small$)$:

If distance $100km$ : Cost $=$ AED $4\mathrm{.}5$ per kg

If distance $>100km$ : Cost $=$ AED $6\mathrm{.}5$ per kg

For $5kg$ Weight $20kg($medium$)$:

If distance $100km$ : Cost $=$ AED $5\mathrm{.}5$ per kg

If distance $>100km$ : Cost $=$ AED $7\mathrm{.}2$ per kg

For Weight $>20kg($large$)$:

If distance $100km$ : Cost $=$ AED $6\mathrm{.}4$ per kg

If distance $>100$ km : Cost $=$ AED $9\mathrm{.}2$ per kg