Given four natural numbers n1, n2, n3 and n4, one chooses two of them and
generates a rational number r1 using either addition, subtraction,
multiplication or division; one mixes r1 with the remaining two numbers and
chooses two of them to generate a rational number r2 using either addition,
subtraction, multiplication or division; one then takes r2 and the last
remaining number to get a rational number r3 using addition, subtraction,
multiplication, or division; if there exists a way to make r3 equal 24, then
we say that (n1, n2, n3, n4) is a good quad. For instance, (10,10,4,4) is
a good quad since we have:
(10 * 10 - 4) / 4 = 24
Similarly, (5,7,7,11) is a good quad since we have:
( 5 - 11 / 7) * 7 = 24
Game-of-24 is a game that determines whether four given natural numbers
are a good quad.
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