Description

### Motivation
* Demonstrate your ability to program the procedural aspects of Java by implementing real-world algorithms

### Instructions
* There are three tasks to complete
– Implement the [Polyline
Algorithm](https://developers.google.com/maps/documentation/utilities/polylin ealgorithm) within the
[PolylineEncoder](src/main/java/edu/nyu/cs9053/homework2/PolylineEncoder.java
) class.
– Implement the annuity methods of
[AnnuityCalculator](src/main/java/edu/nyu/cs9053/homework2/AnnuityCalculator. java) class.
– Implement the command line
[Program](src/main/java/edu/nyu/cs9053/homework2/Program.java) class to test your code, see [Program Instructions](#program-instructions)

### Implementation
* Ensure your code is correct by compiling and testing it
* A portion of your grade will be based upon readability and organization of your code.
– Follow the naming guidelines of lecture
– Break large functions into multiple functions based on logical organizations

### Program Instructions
* The [Program](src/main/java/edu/nyu/cs9053/homework2/Program.java) should take command line arguments and parse them according to the following rules
– The first argument should either be `gps` or `annuity`
– If the first argument is `gps` then the remaining arguments are GPS lat,lng pairs separated by spaces.
– Parse these arguments and pass them into your
[PolylineEncoder](src/main/java/edu/nyu/cs9053/homework2/PolylineEncoder.java
) implementation and print the result
– If the first argument is `annuity` then the remaining arguments are compound, annuity amount, annual interest rate and years of computing future value separated by spaces.
– Parse these arguments and pass them into your
[AnnuityCalculator](src/main/java/edu/nyu/cs9053/homework2/AnnuityCalculator. java) implementation and print the result
– If the first argument (after `annuity`) is `compound` use the compounding method as appropriate
– If the year duration argument is `15` call the appropriate method
`computeFutureValueOfAnnuityIn15Years` or
`computeMonthlyCompoundedFutureValueOfAnnuityIn15Years`
– If the year duration argument is `30` call the appropriate method
`computeFutureValueOfAnnuityIn30Years` or
`computeMonthlyCompoundedFutureValueOfAnnuityIn30Years`
– Otherwise, call the appropriate method
`computeFutureValueOfAnnuity` or
`computeMonthlyCompoundedFutureValueOfAnnuity`
* If any of the arguments are invalid then print `Invalid argument` to the command line and quit

### Example Runs of Program
$ java -cp TODO edu.nyu.cs9053.homework2.Program foo
$ Invalid argument
$ java -cp TODO edu.nyu.cs9053.homework2.Program gps 38.5,-120.2 40.7,-
120.95 43.252,-126.453
$ _p~iF~ps|U_ulLnnqC_mqNvxq`@
$ java -cp TODO edu.nyu.cs9053.homework2.Program annuity foo
$ Invalid argument
$ java -cp TODO edu.nyu.cs9053.homework2.Program annuity 100000 12 $ Invalid argument
$ java -cp TODO edu.nyu.cs9053.homework2.Program annuity 400000 3.5 15
$ 7718272.3514400000
$ java -cp TODO edu.nyu.cs9053.homework2.Program annuity 400000 3.5 30
$ 20649070.9108800000
$ java -cp TODO edu.nyu.cs9053.homework2.Program annuity 400000 3.5 20 $ 11311872.7253200000
$ java -cp TODO edu.nyu.cs9053.homework2.Program annuity compound 400000
3.5 15
$ 94514413.3829200000
$ java -cp TODO edu.nyu.cs9053.homework2.Program annuity compound 400000
3.5 30
$ 254165098.7184400000
$ java -cp TODO edu.nyu.cs9053.homework2.Program annuity compound 400000
3.5 20
$ 138747708.2595600000

### Hints
* To construct an object in Java use `new ClassName();` (i.e., to construct a [Gps](src/main/java/edu/nyu/cs9053/homework2/Gps.java) object -> `Gps point = new Gps(40.693368d, -73.9879034d);`).
* If you are implementing the Polyline Algorithm using String you are doing things incorrectly; i.e., bit flipping should be done with primitive types.