VII. Floating points puzzles ■ For each of the following C expressions, either: ▪ Argue that it is true for all argument values ▪ Explain why not true int x = ..; float f = ...; double d = ..; Assume neither d nor f is NaN • x == (int) (float) x (int) (double) x x == • f == (float) (double) f d == (double) (float) d - (-f); == 2/3.0 . 4 . == 2/3 d < 0.0 • d > f dd >= 0.0 (d+f) -d == f ((d*2) < 0.0) -f> -d

Problem Statement: The mathematician Conway imagined a game, called game of life, whichconsidered cells that are susceptible to reproduce, disappear, or survive when they obey certainrules. These cells are represented by elements on a grid of squares, where a grid has an arbitrarysize. Thus, each cell (except those on the boundaries of the grid) is surrounded by eight squaresthat contain other cells. The rules are stated as follows:1. Survival: Each cell that has two or three adjacent cells survives until the next generation.2. Death: Each cell that has at least four adjacent cells disappears (or dies) by overpopulation.Also, each cell that has at most one adjacent cell dies by isolation.3. Birth: Each empty square (i.e., dead cell) that is adjacent to exactly three cells gives birthto a new cell for the next generation.It is worth noting that all births and deaths occur at the same time during a generation.Write a program that simulates this game and displays all successive…