furmaulte the problem on paper and give python code to solve this Exercise: basketball team lineup

A basketball coach is trying to choose the starting line$-$up for the basketball team. The team consists of seven

players who have been rated $($on a scale of $1=$ poor to $3=$ excellent$)$ according to their ball$-$handling, shooting,

and defensive abilities. The positions that each player is allowed to play and the players' abilities are listed below.

The five$-$player starting line$-$up must satisfy the following restrictions:

at least $3$ members must be able to play guard, at least two members must be able to play forward, and at

least one member must be able to play center

the average ball$-$handling, shooting, and rebounding level of the starting line$-$up must be at least $2$

if player $3$ starts, then player $6$ cannot start

if player $1$ starts, then players $4$ and $5$ must both start

Given these constraints, the coach want to maximize the total defensive ability of the starting tearn. Formulate

a boolean program that will help him choose his starting team.