Write a program that determines the season based on the month. The program prompts a user to enter a month $(1-12)$ and then prints the season of that month. That is if that month is in spring, summer fall or winter. The program must also check if a valid month was entered. For simplicity, assume: $1-3$: spring, $4-6$: summer, $7-9$ fall, $10-12$ winter.

int main$()$