I put a number of pennies, nickels, dimes, and quarters (at least one of each) on the table and said,
"This is my offer. It is a square deal, because the total amount in cents is equal to
the square of the number of coins."
The unexpected reply was, "If you add seven more quarters to the offer, the value will still be the square
of the number of coins, and I will accept it."
How many coins of each denomination did the original offer include?