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    max_sum = -float("inf")

    for i in range(4):
        for j in range(4):
            top = arr[i][j]+arr[i][j+1]+arr[i][j+2]
            middle = arr[i+1][j+1]
            bottom = arr[i+2][j]+arr[i+2][j+1]+arr[i+2][j+2]
            total = top + middle + bottom
            max_sum = max(max_sum, total)
    return max_sum