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def minimax(BTree):
    alpha = mini
    beta = maxi
    userValue = max_value(BTree,alpha,beta)
    return userValue
userValue = minimax(tree)
print("The Optimal value of the MiniMax Algorithm : "+ str(userValue))
print("\n The output Path is :")
print(path(tree,userValue))
out = alphabeta(tree)
print("The Optimal value of the Alpha beta pruning Algorithm : "+ str(out))