Tracking numbers are used by the United Parcel Service (UPS) to track packages as they move through the system. The number may be used by the consumer to verify delivery or to locate a package en route to its destination. The tracking number is 18 characters long and begins with the combination 1Z, which is not used to calculate the check digit. The check digit is the 18th digit and can be found using a mod 7 check-digit scheme on the number represented by the digits in positions 3 through 17.
a. Determine if 1Z5915806860472484 is a valid UPS tracking number.
b. Find the check digit for the partial UPS tracking number 1Z433698652447694.
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