Value 15 points 3.(1) Suppose that an application has n inputs (variables) and each variable partitions its input space in m equivalence classes. Determine the number of equivalence classes. How many tests do you require? Could you make the number of tests lower? Do detailed calculations for n=20 and m=10 (ii) Some procedure P has three ..puts Sensor 1 Sensor 2 This procedure is invoked under the following valid ranges of input readings: Sensor 1: (10, 25) or [29, 50]. The sensor generates positive readings with values in [0, rangel], rangel>50. Sensor 2: [-1,1] or [4, 5]. The sensor generates both positive and negative readings from some range [-range2, range2], range2 >5. Control variable s: 1, 2, 3, 4). The control variable assumes positive integer values {1, 2,... Smax}, Smax>4. Identify equivalence classes in this problem. Consider weak normal equivalence testing and strong normal equivalence testing. List the test cases for weak normal equivalence