Japan plans to welcome the ACM ICPC World
Finals and a lot of roads must be built for the venue. Japan is tall island with
N cities on the East coast and M cities on the West coast (M <= 1000, N <=
1000). K superhighways will be build. Cities on each coast are numbered 1, 2,
... from North to South. Each superhighway is straight line and connects city on
the East coast with city of the West coast. The funding for the construction is
guaranteed by ACM. A major portion of the sum is determined by the number of
crossings between superhighways. At most two superhighways cross at one
location. Write a program that calculates the number of the crossings between
superhighways.
The input file starts with T - the number
of test cases. Each test case starts with three numbers – N, M, K. Each of the
next K lines contains two numbers – the numbers of cities connected by the
superhighway. The first one is the number of the city on the East coast and
second one is the number of the city of the West coast.
For each test case write one line on the
standard output:
Test
case (case number): (number of crossings)