ArrayTester - Part B¶

Part b. Write the static method isLatin, which returns true if a given two-dimensional square array is a Latin square, and otherwise, returns false.

A two-dimensional square array of integers is a Latin square if the following conditions are true. 1) The first row has no duplicate values. 2) All values in the first row of the square appear in each row of the square. 3) All values in the first row of the square appear in each column of the square.

The ArrayTester class provides two helper methods: containsDuplicates and hasAllValues. The method containsDuplicates returns true if the given one-dimensional array arr contains any duplicate values and false otherwise. The method hasAllValues returns true if and only if every value in arr1 appears in arr2. You do not need to write the code for these methods.

Complete method isLatin below. Assume that getColumn works as specified, regardless of what you wrote in part (a). You must use getColumn, hasAllValues, and containsDuplicates appropriately to receive full credit.

Try and Solve It¶

Complete the method isLatin below.

public class ArrayTester
{

public static boolean isLatin(int[] [] square)
   {
      // put your solution here

}

/** Copy in your solution of getColumn from the previous section
   */
   public static int[] getColumn(int[][] arr2D, int c)
   {
      // put your solution here

}

// Main method to test getColumn method
    public static void main(String[] args)
    {
         int [] [] arr2D = { { 1, 2, 3 }, { 2, 3, 1 }, { 3, 1, 2 }};
         boolean test = isLatin(arr2D);
         System.out.println("If isLatin is implemented correctly, then test should be true:" + test);
         if (!test)
         {
             System.out.print("Uh oh! isLatin(test) was false, but it should be true.");
         }
         else {
          System.out.println("Correct!");
        }
    } // end of main

/** Returns true if and only if every value in arr1 appears in arr2.
     */
   public static boolean hasAllValues(int[] arr1, int[] arr2){

boolean[] flags = new boolean[arr1.length]; // default values false

for(int i = 0; i < arr1.length; i++){
       for(int j = 0; j < arr2.length; j++){
         if(arr1[i] == arr2[j]){
           flags[i] = true;
         }
       }
     }
     for(boolean b: flags){
       if(b == false){
         return false;
       }
     }
     return true;
   }

/** Returns true if arr contains any duplicate values;
     * false otherwise.
     */
   public static boolean containsDuplicates(int[] arr){
     for(int i = 0; i < arr.length - 1; i++){
       for(int j = i + 1; j < arr.length; j++){
         if(arr[i] == arr[j]){
           return true;
         }
       }
     }
     return false;
   }

} // end of the class

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ArrayTester - Part B¶

Try and Solve It¶