This is in a high school math textbook in Texas.
Example 2 : Is there a one-to-one and onto correspondence between integers and rational numbers?
... -4 -3 -2 -1 0 1 2 3 4 ...
... -1/4 -1/3 -1/2 -1/1 -2/4 -2/3 -2/2 -2/1 -3/4 -3/3 -3/2 -3/1
No matter how you arrange the sets, there is never one unique integer for each rational number. There is not a one-to-one and onto correspondence.
The challenge: implement
rational->integer that returns "one unique integer for each rational number", and its inverse, integer->rational.
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