Implement a class Widget with the following methods. A skeleton for class Widget is available. Implement the class in the order of the following description. Make sure what you submit compiles without errors. In addition a toString() method and a getSize() method have been written for you (getSize() returns the number of elements in instance variable list).

• An instance variable
  • private int[] list
    • Represents the array of values being maintained.
• A specific constructor
  • public Widget(int[] data)
    • Initializes list to represent a new array with data.length elements. The elements of data are then copied using a loop to this.list.
• Three inspectors
  • public int positiveCount()
    • Returns the number of positive values in array this.list. A positive value is greater than zero.
  • public int negativeCount()
    • Returns the number of negative values in array this.list. A negative value is less than zero.
  • public int zeroCount()
    • Returns the number of zeros in array this.list.
• Four facilitators
  • public int[] getPositives()
    • Returns a new array of length this.positiveCount(). The elements of the array are the positive values of array this.list.
  • public int[] getNegatives()
    • Returns a new array of length this.negativeCount(). The elements of the array are the negative values of array list.
  • public Object clone()
    • Returns a new Widget whose list values are duplicates of the values in this.list. Hint:  use the specific constructor in creating the new Widget.
  • public boolean equals(Object v)
    • The method returns false if v is not a Widget. If v is a Widget whose list array is a different size than this.list, then the method returns false. Otherwise, the method compares the two lists. If each of the corresponding elements match, then the method returns true. If any of the corresponding elements mismatch, the method returns false.
• A default constructor
  • public Widget()
    • Initializes list to represent a new int array with zero elements.