Primary U. S. interstate highways are numbered 1-99. Odd numbers (like the 5 or 95) go north/south, and evens (like the 10 or 90) go east/west. Auxiliary highways are numbered 100-999, and service the primary highway indicated by the rightmost two digits. Thus, I-405 services I-5, and I-290 services I-90. Given a highway number, indicate whether it is a primary or auxiliary highway. If auxiliary, indicate what primary highway it serves. Also indicate if the (primary) highway runs north/south or east/west. Ex: If the input is: 90 the output is: I-90 is primary, going east/west. Ex: If the input is: 290 the output is: I-290 is auxiliary, serving I-90, going east/west. Ex: If the input is: 0 the output is: 0 is not a valid interstate highway number.

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