The state of the sea, commonly called the sea state, is defined in terms of the wind speed and the corresponding waves. Deepwater waves occur where the water depth is greater than one-half the wavelength. In the ocean, waves are generated by many sources, and they come together from many directions. The interaction of individual waves creates a complex set of waves with varying peaks and troughs. Assume that deep water waves can be modeled by: s(t) = A sin(2 pi ft +) where A is the amplitude, f is the frequency), and is the phase shift in radians. Analyze the interference patterns of two deep water waves, by developing a program that will: 1) Allow the user to enter the period and height for two waves. 2) Compute 100 points of the sum of the two waves over a period equal to the product of the two individual periods. 3) Find the maximum of the 100 points of the sum, and print an estimate of the maximum wave height of the combined waves plus the corresponding time (assume that the phase difference between the two waves is zero). Your solution must include: 1) Problem statement/definition 2) Input/Output Diagram Hand Example Algorithm C program