This C function adds two numbers in a given base number system. The base is specified by the value of the constant BASE. The function takes two long integers as input and returns their sum in the same base.

The function works by iterating through the digits of the two input numbers from right to left. It adds the corresponding digits of the two numbers and keeps track of any carry-over digits. The function then calculates the sum of the digits and the carry-over digit in the specified base and adds it to the final sum.

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