Problem 13 (2018 AMC 8)

Laila took five math tests, each worth a maximum of $100$ points. Laila's score on each test was an integer between $0$ and $100$, inclusive. Laila received the same score on the first four tests, and she received a higher score on the last test. Her average score on the five tests was $82$. How many values are possible for Laila's score on the last test?