A$.[$Worth $13$ points$]$ Function program$1().$ When button with the label "problem $1"$ is clicked,

the function program$1()$ should be called in your JS file. This method should call a recursive

helper function with logic equivalent to that in the iterative flowchart that is shown above.

This recursive function $($and its iterative analogue$)$ determines all the possible ways that a bill

for $x$ dollars can be split among $3$ people. One option might be that every person pays the

Page $3$

same amount. Another option might be that one person pays for everything. The input in this

problem will represent the total amount of money to pay $($in dollars$)$ and the output will be

every possible way you could split the bill, assuming everyone pays a whole number of dollars.

For example, if the input $$4,$ your function might list off these options:

$A$: $$4,B$: $$0,C$: $$0$

$A$: $$3,B$: $$1,C$: $$0$

$A$: $$3,B$: $$0,C$:$$1$

and $soon.$

However, if the user enters a negative number of dollars or a value that is not prefixed with a $\text{'}$ $ $\text{'}$

symbol, the output should read "Invalid Input".