In her spare time, Zara sketches designs for what she believes to be efficient traffic interchanges . Zara's father runs computer simulations on her designs to model their efficiency. One day, Zara tries to count the number of vehicles passing through the interchange in front of their house. Zara quickly realized that it is going to be a difficult task to sit and count vehicles, no matter how slow, for every minute of the day. She decided that she would only count the number of vehicles passing through the interchange over the course of the first 15 minutes (of each hour). The data that Zara collected between 6 am and 12:15 pm is presented in the table below, where N(t) is the number of vehicles passing through the interchange in the first 15 minutes of the t-th hour after 6:00 am, e.g. N(0) is the number of vehicles passing through the interchange between 6:00 am and 6:15 am.

t = 0 1 2 3 4 5 6

N(t) = 42 93 120 132 117 94 42

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0 1 93 t N(t) 42 2 | 3 120 132 4 117 56 94 42