Problem Statement   F is a function that is defined on all real numbers from the closed interval [1,N].
You are given a int[] Y with N elements.
For each i (1 <= i <= N) we have F(i) = Y[i1].
Additionally, you know that F is piecewise linear: for each i, on the interval [i,i+1] F is a linear function.
The function F is uniquely determined by this information.
For example, if F(4)=1 and F(5)=6 then we must have F(4.7)=4.5.
As another example, this is the plot of the function F for Y = {1, 4, 1, 2}.
Given a real number y, we can count the number of solutions to the equation F(x)=y.
For example, for the function plotted above there are 0 solutions for y=7, there is 1 solution for y=4, and there are 3 solutions for y=1.1.
We are looking for the largest number of solutions such an equation can have.
For the function plotted above the answer would be 3: there is no y such that F(x)=y has more than 3 solutions.
If there is an y such that the equation F(x)=y has infinitely many solutions, return 1.
Otherwise, return the maximum possible number of solutions such an equation may have.
  Definition   Class:  PiecewiseLinearFunction  Method:  maximumSolutions  Parameters:  int[]  Returns:  int  Method signature:  int maximumSolutions(int[] Y)  (be sure your method is public) 
    Constraints    Y will contain between 2 and 50 elements, inclusive.    Each element of Y will be between 1,000,000,000 and 1,000,000,000, inclusive.   Examples  0)     Returns: 1  The graph of this function is a line segment between (1, 3) and (2, 2). For any y such that 2 ≤ y ≤ 3 the equation F(x)=y has 1 solution, and for any other y it has 0 solutions. 

 1)     Returns: 1  The function's plot is a horizontal line segment between points (1, 4) and (2, 4). For y=4, F(x)=y has infinitely many solutions. 

 2)     Returns: 3  This is the example from the problem statement. Three solutions are obtained for any value of y between 1 and 2, inclusive:


 3)     4)    {125612666, 991004227, 0, 6, 88023, 1000000000, 1000000000, 1000000000, 1000000000} 
 Returns: 6  

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