A recently discovered planetoid, Geometrica, has a most unusual surface. By all available observations the surface can be modeled by the formula h = 35,000 sin(3θ)sin(2ρ) + 9700 cos(10θ)cos(20ρ) − 800 sin(25θ + 0.03π) + 550 cos(ρ + 0.2π) where h is the height above or below sea level, θ is the angle in the equatorial plane (defines longitude on Earth), and ρ is the angle in the polar plane (defines latitude on Earth). 1. Write a sequential program to use hill climbing to find the (θ, ρ) position of the highest point above sea level on Geometrica’s surface. 2. Develop an embarrassingly parallel solution to 1. 3. Develop a work-pool parallel solution to Part 1 under the assumption that workstations of dramatically varying capabilities are being used to solve the problem. 4. Compare the simulated times required for a solution under the preceding three approaches.