$-$P P$3\mathrm{.}20$ The following algorithm yields the season $($Spring$,$ Summer, Fall, or Winter$)$ for a given month and day.

If month is $1,2,$ or $3,$ season $=$ "Winter"

Else if month is $4,5,$ or $6,$ season $=$ "Spring"

Else if month is $7,8,$ or $9,$ season $=$ "summer"

Else if month is $10,11,$ or $12,$ season $=$ "Fall"

If month is divisible by $3$ and day $21$

If season is "Winter", season $=$ "spring"

Else if season is "Spring", season $=$ "Summer"

Else if season is "Summer", season $=$ "Fall"

Else season $=$ "Winter"

Write a program that prompts the user for a month and day and then prints the season, as determined by this algorithm.

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