Construct a solution algorithm for the following problems. Your solution should contain:

$$ A defining problem

$$ A pseudo code algorithm

$$ A desk check of the algorithm

$$ Three test cases for each question. Two valid and one error test case

If you buy a property, you must pay the Buyer's Stamp Duty $($BSD$).$ It is calculated by multiplying the purchase price of the property with the stamp duty rate based on either residential or non$-$residential property as shown below in the table. Purchase Price of the Property BSD Rates for Residential Properties BSD Rates for Non$-$Residential Properties Less than $$180,0001\%$

$1\mathrm{.}5\%$ $$180,000-$ $$600,0002\%$

$2\mathrm{.}5\%$ Above $$600,0003\%$

$3\mathrm{.}5\%$

For example, if the purchase price of a non$-$residential property is $$500,000,$ the BSD would be $$500,000$ x $2\mathrm{.}5\%=$ $$12,500.$

Design an algorithm that will prompt for and receive the purchase price of a property and property type $($residential or non$-$residential$)$ and calculate the buyer$$s stamp duty and print the value.

java programming