Problem Statement 
 We want to display a scatterplot in a 1000x1000 window. However, our points may have x and y values anywhere between 1,000,000,000 and 1,000,000,000. So, in order to display our data in a reasonable fashion, we want to make it fit in the window. Your task is, given the x and y values of the data, scale and translate the data so that the lowest x value is 0, and the highest is 1000. Do the same thing for the y values, being careful to preserve the relative distances in both the x and y directions. For example, if x = {100, 0, 50, 100}, then it should be changed to {0,500,750,1000}. Note that changing the points may result in nonintegral values, which should be rounded to the nearest integer (.5 rounds up). The return value should be a String[], each of whose elements is formatted as "<x> <y>", where <x> and <y> are the scaled and translated values of the corresponding elements of the input. <x> and <y> should be separated by exactly one space and have no extra leading zeros. 

Definition 
 Class:  Display  Method:  transform  Parameters:  int[], int[]  Returns:  String[]  Method signature:  String[] transform(int[] x, int[] y)  (be sure your method is public) 




Constraints 
  Each element of x and y will be between 1,000,000,000 and 1,000,000,000, inclusive. 
  x will contain at least two distinct values. 
  y will contain at least two distinct values. 
  x and y will contain the same number of elements. 
  x and y will each contain between 2 and 50 elements, inclusive. 

Examples 
0)  
 {100, 0, 50, 100}  {100, 0, 50, 100} 
 Returns: { "0 0", "500 500", "750 750", "1000 1000" }  If we translate all the points +100 in both the x and y directions, and then scale all the coordinates up by a factor of 5, we find that they meet our requirements. 


1)  
  Returns: { "0 0", "1000 1000", "1 0" }  

2)  
 {1000000000,1000000000,500000,499999}  {1000000000,1000000000,500000,499999} 
 Returns: { "0 0", "1000 1000", "500 500", "500 500" }  

3)  
 {53,652,6132,673,74,473,373,736363,234,234,234}  {6464,36464,43,373,363,37633,2022,644,2520,2520,2520} 
 Returns:
{ "8 421",
"9 1000",
"0 507",
"9 513",
"8 513",
"8 0",
"9 535",
"1000 499",
"9 542",
"9 542",
"9 542" }  

4)  
 {0,1001,2000}  {0,999,2000} 
 Returns: { "0 0", "501 500", "1000 1000" }  Be sure to round up when the fractional part is .5. 

