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import numpy as np
import pandas as pd


# dropping tennis ball
def problem1():

    dt = 1

    F = np.matrix([[1, dt, 0],

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class SetNode:
    """disjoint set node"""
    def __init__(self, value):
        self.__value = value
        self.__parent = self
        self.__ancestor = self
        self.__size = 1

    def __merge_in(self, other):

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class SetNode:
    """disjoint set node"""
    def __init__(self, value):
        self.__value = value
        self.__parent = self
        self.__size = 1

    def __merge_in(self, other):
        new_size = self.parent.__size + \

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print("Hello World!")