a) first player is the minimizing player. What move should be chosen?b) What nodes would not need to be examined using the alpha-beta pruning procedure?

Consider the problem of finding a path in the grid shown below from the position S to theposition G. The agent can move on the grid horizontally and vertically, one square at atime (each step has a cost of one). No step may be made into a forbidden crossed area. Inthe case of ties, break it using up, left, right, and down.(a) Draw the search tree in a greedy search. Manhattan distance should be used as theheuristic function. That is, h(n) for any node n is the Manhattan distance from nto G. The Manhattan distance between two points is the distance in the x-directionplus the distance in the y-direction. It corresponds to the distance traveled along citystreets arranged in a grid. For example, the Manhattan distance between G and S is4. What is the path that is found by the greedy search?(b) Draw the search tree in an A∗search. Manhattan distance should be used as the

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