/**
 * This program peforms multiplication of two matrices entered by the user.
 * The main method asks for the user to enter two matrices, and then calls
 * multMatrices() to do the multiplication.  The result matrix is then
 * printed.
 */

class Product
{
    public static void main (String[] args)
    { 
       // DECLARE VARIABLES/DATA DICTIONARY

        int[][] a;      // GIVEN:   A matrix of integers
        int[][] b;      // GIVEN:   A matrix of integers
        int aRows;      // GIVEN:   Number of rows in a.
        int aCols;      // GIVEN:   Number of columns in a.
        int bRows;      // GIVEN:   Number of rows in b. 
        int bCols;      // GIVEN:   Number of columns in b.
        int[][] c;      // RESULT:  Product of a and b


        // PRINT OUT IDENTIFICATION INFORMATION
        
        System.out.println();
        System.out.println("ITI 1120 Fall 2006, Lab 10, Example 3");
        System.out.println("Name: Diana Inkpen, Student# 123456");
        System.out.println();


        // READ IN GIVENS

        System.out.println( "Enter the number of rows in matrix A:  " );
        aRows = ITI1120.readInt( );
        System.out.println( "Enter the number of columns in matrix A:  " );
        aCols = ITI1120.readInt( );

        a = MatrixLib.readIntMatrix( aRows, aCols );
        
        System.out.println( "Enter the number of rows in matrix B:  " );
        bRows = ITI1120.readInt( );
        System.out.println( "Enter the number of columns in matrix B:  " );
        bCols = ITI1120.readInt( );

        b = MatrixLib.readIntMatrix( bRows, bCols );

        // BODY OF ALGORITHM
     
        c = multMatrices( a, b );

        // PRINT OUT RESULTS AND MODIFIEDS

        System.out.println( );
        System.out.println( "The product matrix C is: " );
        System.out.println( );
        MatrixLib.printMatrix( c );

    }

    // If the 'main' method calls other algorithms, put the method(s) below.

    /**
     * Performs matrix multiplication on matrices a and b, returning c.
     * 
     * Matrices a and b are assumed to be rectangular, where a is m x n, and
     * b is n x p, for integers m, n, and p.  The resulting matrix c will
     * be m x p.  The dimensions are not passed as parameters; instead,
     * the dimensions are determined from the array lengths.
     * 
     * GIVENS:  a:  an m x n matrix containing integers
     *          b:  an n x p matrix containing integers
     *  To be completed
     */

    public static int[][] multMatrices( int[][] a, int[][] b )
    {
        // DECLARE VARIABLES / DATA DICTIONARY

        
        // BODY OF ALGORITHM

        // RETURN RESULT

    }
                    
}