Suppose that K = 30 for this question only. Using the set of symbols you have chosen in question 1., express the following properties in propositional logic: (a) For every location that is a cliff, there is an adjacent location to it that contains some non null quantity of resource r1. (b) For every location that contains some non null quantity of resource r3, there is exactly one adjacent location that is a hill. (c) Resource r2 can only appear in the corners of the grid (the corners of the grid are the locations (1, 1), (30, 1), (1, 30), (30, 30)).