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Byteman is going for a car trip around Byteland, but he is unfortunately unable to buy a map of the country. His friends told him about some properties of the bytean road network:
Write a program that:
The first and only line of the input contains three integers , and (, , , is a prime number), separated with single spaces.
The first and only line of output should contain a single integer - the remainder of the division by of the number of different plans that are consistent with conditions known to Byteman.
For the input data:
6 3 13
the correct result is:
Task author: Jakub Radoszewski.