Problem Statement   Fox Ciel is creating a new binary operation.
The operation will be denoted $ and it will be defined on the finite set S = {0, 1, 2, ..., n1}. I.e., for each ordered pair (i, j) of elements of S the operation (i $ j) will return some element of S.
For example, we can have S = {0, 1}, and we can define that (0 $ 0) = 0, (0 $ 1) = 1, (1 $ 0) = 0, and (1 $ 1) = 0.
Note that Ciel's operation is not necessarily symmetric. In other words, it is possible that for some i and j the operations (i $ j) and (j $ i) return two different values.
A subset T of S is called good if it has the following property: for any two elements i and j in T, (i $ j) is also in T.
You are given an int x.
Construct a binary operation $ with the following properties:
 The number n (i.e., the size of the set S) must be between 1 and 20, inclusive.
 The number of good subsets of the set S must be exactly x.
Return a int[] containing the "multiplication table" of your operation $.
More precisely, the return value should consist of n*n elements.
For each i and j from the set S, element (i*n+j) of the return value should be the value (i $ j).
If there are multiple solutions, you may return any of them.
You may assume that there is always at least one valid solution.   Definition   Class:  MultiplicationTable3  Method:  construct  Parameters:  int  Returns:  int[]  Method signature:  int[] construct(int x)  (be sure your method is public) 
    Constraints    x will be between 1 and 1,000, inclusive.   Examples  0)     Returns: {1, 1, 1, 1 }  We have chosen n = 2.
Regardless of the inputs, our binary operation $ always returns 1.
For this operation we have exactly x = 2 good subsets of S: the subset {1} and the subset {0,1}. 

 1)     Returns: {0, 1, 0, 1 }  The length of the return value is 4, hence it describes an operation with n = 2.
This particular return value describes the following operation:
 0 $ 0 = 0
 0 $ 1 = 1
 1 $ 0 = 0
 1 $ 1 = 1
This operation has exactly 3 good subsets: {0}, {1}, and {0,1}. 

 2)     Returns: {0, 1, 1, 0, 1, 2, 0, 1, 2 }  
 3)     Returns: {0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4 }  All nonempty subsets of S are good. 

 4)    
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