Implement the Solver class. The point of the solver class is the solve method which takes a board/puzzle configuration represented as a 2D array of bytes and returns a byte array containing a minimal sequence of moves that will lead to the solved board. The 2D array of bytes is “triangular” and represents a valid board configuration. Namely, the 2D array has 5 rows (0 – 4) and the size of every row is 1 more than its index.The array contains one 0, five 1s, four 2s and five 3s. The solve method then returns an array of bytes representing a minimal sequence of moves that solves the puzzle. In other words, if the numbers from the returned array are used in order as inputs to the move method on the Board object representing the initial configuration, the resulting board configuration represents the solved board. If the input to the solve method is a board configuration that is already solved, then solution requires no moves and an array of size 0 must be returned. impliment the solver class using the provided code. import java.util.ArrayList; import java.util.Arrays; public class Solver {     public Solver() {        // TODO        // This constructor will be called once and then        // solve will be called multiple times.  So if        // you want to do some preprocessing ONCE before        // solve is called, you can do it here.     }     public byte[] solve(byte[][] start) {         // Flatten the 2D array to simplify manipulation         byte[] flatStart = flatten(start);         // If the board is already solved, return an empty array         if (isSolved(flatStart)) {             return new byte[0];         }         // Find the index of 0 in the flattened array         int zeroIndex = indexOfZero(flatStart);         // Initialize an ArrayList to store the moves         ArrayList moves = new ArrayList<>();         // Apply moves to solve the puzzle         while (!isSolved(flatStart)) {             // Move the 0 to the next row             int nextRowStart = (zeroIndex / (flatStart.length / 5) + 1) * (flatStart.length / 5);             swap(flatStart, zeroIndex, nextRowStart);             moves.add((byte) (nextRowStart - zeroIndex));             // Move the 0 to the correct column             int targetColumn = (zeroIndex % (flatStart.length / 5)) + 1;             int targetIndex = nextRowStart + targetColumn;             swap(flatStart, zeroIndex, targetIndex);             moves.add((byte) (targetIndex - zeroIndex));         }         // Convert ArrayList to array         byte[] result = new byte[moves.size()];         for (int i = 0; i < result.length; i++) {             result[i] = moves.get(i);         }         return result;     }     // Helper method to flatten the 2D array     private byte[] flatten(byte[][] array2D) {         return Arrays.stream(array2D)                 .flatMapToInt(Arrays::stream)                 .mapToByte(b -> b)                 .toArray();     }     // Helper method to check if the board is already solved     private boolean isSolved(byte[] board) {         return Arrays.equals(board, getSolution(board.length));     }     // Helper method to get the solution for a given board size     private byte[] getSolution(int size) {         byte[] solution = new byte[size];         int currentNumber = 1;         for (int i = 0; i < 5; i++) {             for (int j = 0; j <= i; j++) {                 solution[i * (i + 1) / 2 + j] = (byte) currentNumber;                 currentNumber++;             }         }         return solution;     }     // Helper method to find the index of 0 in the array     private int indexOfZero(byte[] array) {         for (int i = 0; i < array.length; i++) {             if (array[i] == 0) {                 return i;             }         }         throw new IllegalArgumentException("Array does not contain 0");     }     // Helper method to swap two elements in the array     private void swap(byte[] array, int i, int j) {         byte temp = array[i];         array[i] = array[j];         array[j] = temp;     } } Add code for public solver on //TODO.

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Chapter18: Stacks And Queues
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Implement the Solver class. The point of the solver class is the solve method which takes a board/puzzle configuration represented as a 2D array of bytes and returns a byte array containing a minimal sequence of moves that will lead to the solved board. The 2D array of bytes is “triangular” and represents a valid board configuration. Namely, the 2D array has 5 rows (0 – 4) and the size of every row is 1 more than its index.The array contains one 0, five 1s, four 2s and five 3s. The solve method then returns an array of bytes representing a minimal sequence of moves that solves the puzzle. In other words, if the numbers from the returned array are used in order as inputs to the move method on the Board object representing the initial configuration, the resulting board configuration represents the solved board. If the input to the solve method is a board configuration that is already solved, then solution requires no moves and an array of size 0 must be returned.

impliment the solver class using the provided code.

import java.util.ArrayList;
import java.util.Arrays;

public class Solver {

    public Solver() {
       // TODO
       // This constructor will be called once and then
       // solve will be called multiple times.  So if
       // you want to do some preprocessing ONCE before
       // solve is called, you can do it here.
    }

    public byte[] solve(byte[][] start) {
        // Flatten the 2D array to simplify manipulation
        byte[] flatStart = flatten(start);

        // If the board is already solved, return an empty array
        if (isSolved(flatStart)) {
            return new byte[0];
        }

        // Find the index of 0 in the flattened array
        int zeroIndex = indexOfZero(flatStart);

        // Initialize an ArrayList to store the moves
        ArrayList<Byte> moves = new ArrayList<>();

        // Apply moves to solve the puzzle
        while (!isSolved(flatStart)) {
            // Move the 0 to the next row
            int nextRowStart = (zeroIndex / (flatStart.length / 5) + 1) * (flatStart.length / 5);
            swap(flatStart, zeroIndex, nextRowStart);
            moves.add((byte) (nextRowStart - zeroIndex));

            // Move the 0 to the correct column
            int targetColumn = (zeroIndex % (flatStart.length / 5)) + 1;
            int targetIndex = nextRowStart + targetColumn;
            swap(flatStart, zeroIndex, targetIndex);
            moves.add((byte) (targetIndex - zeroIndex));
        }

        // Convert ArrayList to array
        byte[] result = new byte[moves.size()];
        for (int i = 0; i < result.length; i++) {
            result[i] = moves.get(i);
        }

        return result;
    }

    // Helper method to flatten the 2D array
    private byte[] flatten(byte[][] array2D) {
        return Arrays.stream(array2D)
                .flatMapToInt(Arrays::stream)
                .mapToByte(b -> b)
                .toArray();
    }

    // Helper method to check if the board is already solved
    private boolean isSolved(byte[] board) {
        return Arrays.equals(board, getSolution(board.length));
    }

    // Helper method to get the solution for a given board size
    private byte[] getSolution(int size) {
        byte[] solution = new byte[size];
        int currentNumber = 1;

        for (int i = 0; i < 5; i++) {
            for (int j = 0; j <= i; j++) {
                solution[i * (i + 1) / 2 + j] = (byte) currentNumber;
                currentNumber++;
            }
        }

        return solution;
    }

    // Helper method to find the index of 0 in the array
    private int indexOfZero(byte[] array) {
        for (int i = 0; i < array.length; i++) {
            if (array[i] == 0) {
                return i;
            }
        }
        throw new IllegalArgumentException("Array does not contain 0");
    }

    // Helper method to swap two elements in the array
    private void swap(byte[] array, int i, int j) {
        byte temp = array[i];
        array[i] = array[j];
        array[j] = temp;
    }
}

Add code for public solver on //TODO.
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