Fix the cent split for a shared charge

Your payments feature splits one charge evenly across several people. The first version did the math in floating point dollars, and splitting $100 three ways gave three shares of $33.33 that lost a cent. The new version works in whole cents.

An assistant wrote split_cents_evenly(total_cents, parties). It is in the editor. It has a bug. Find it and fix it.

Input and output:

• total_cents: the charge, in cents.
• parties: how many people share it.
• Return one share per person, in cents, as a list. Return [] when the input is invalid.

Rules the tests check:

• The input is invalid when parties is 0 or less, or total_cents is less than 0.
• The shares add up to exactly total_cents.
• Every share is total_cents divided by parties, rounded down, or that amount plus 1 cent.
• The extra cents go to the first people in the list, one each.