mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-18 09:10:16 +00:00
4ff2a9dd4e
* minimax.py minimax algorithm is used for game like tic tac toe. It traces the path and selects the optimal move. * minimax.py Minimax is used in decision making and game theory to find the optimal move for a player, when your opponent also plays optimally. It is widely used in games like Tic-Tac-Toe, Chess. * Delete minimax.py * Update minimax.py * Minimax is a backtracking algorithm that is used in game theory to find the optimal move for a player, assuming that your opponent also plays optimally
29 lines
996 B
Python
29 lines
996 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))
|