Python/backtracking/minimax.py
2019-10-05 10:14:13 +05:00

35 lines
998 B
Python

import math
""" Minimax helps to achieve maximum score in a game by checking all possible moves
depth is current depth in game tree.
nodeIndex is index of current node in scores[].
if move is of maximizer return true else false
leaves of game tree is stored in scores[]
height is maximum height of Game tree
"""
def minimax(Depth, nodeIndex, isMax, scores, height):
if Depth == height:
return scores[nodeIndex]
if isMax:
return max(
minimax(Depth + 1, nodeIndex * 2, False, scores, height),
minimax(Depth + 1, nodeIndex * 2 + 1, False, scores, height),
)
return min(
minimax(Depth + 1, nodeIndex * 2, True, scores, height),
minimax(Depth + 1, nodeIndex * 2 + 1, True, scores, height),
)
if __name__ == "__main__":
scores = [90, 23, 6, 33, 21, 65, 123, 34423]
height = math.log(len(scores), 2)
print("Optimal value : ", end="")
print(minimax(0, 0, True, scores, height))