problem To write and run a python program to solve an integer programming Problem Let f(x,y) (x 1) 4(x 1) (y 3) 5 (y 3)2 841 The equation f(x,y) 0 defines an ellipse in the xy plane Let C denote the convex region in the xy plane defined by f(x,y) 0 The boundary of C is the ellipse f(x,y) 0 itself The lattice points in the xy plane are those ordered pairs (x,y) for which both x and y are integers This problem is concerned with finding extremal lattice points in C, and extremal lattice points on the boundary of C Write a python program that does all of the following (1) Count the number of lattice points in C (2) Count the number of lattice points on the boundary (3) Locate the minimum x value for all lattice points in C (4) Locate the maximum x value for all lattice points in C (5) Locate the minimum y value for all lattice points in C (6) Locate the maximum y value for all lattice points in C (7) Locate the lattice point in C closest to the origin (8) Locate the lattice point in C farthest from the origin (9) Locate the lattice point on the boundary of Closest to the origin (10) Locate the lattice point on the boundary of C farthest from the origin

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Question: problem. To write and run a python program to solve an integer programming Problem: Let f(x,y) = (x-1)-4(x-1)=(y-3)+5 (y-3)2-841 The equation f(x,y) 0 defines

problem. To write and run a python program to solve an integer programming Problem: Let f(x,y) = (x-1)-4(x-1)=(y-3)+5 (y-3)2-841 The equation f(x,y) 0 defines an ellipse in the xy-plane. Let C denote the convex region in the xy-plane defined by f(x,y)

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