It works but the output is broken :)
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		@@ -35,6 +35,7 @@ public class MatrixOperations implements Serializable
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        ArrayList<ArrayList<BigInteger>>  b =  convertToBigInteger(matrixA.getMatrix());
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        ArrayList<ArrayList<String>>  c =  new ArrayList<ArrayList<String>>();
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        c = convertToString(matrixManipulator.addParallel(a, b));
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        printArray(c);
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       matrixC.setMatrixC( c );
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       return "";
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    }
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@@ -44,6 +45,16 @@ public class MatrixOperations implements Serializable
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        ArrayList<ArrayList<BigInteger>>  b =  convertToBigInteger(matrixA.getMatrix());
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        ArrayList<ArrayList<String>>  c =  new ArrayList<ArrayList<String>>();
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        c = convertToString(matrixManipulator.multiplyParallel(a, b));
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        printArray(c);
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       matrixC.setMatrixC( c );
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        return "";}
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        public String subtract() {
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        ArrayList<ArrayList<BigInteger>>  a =  convertToBigInteger(matrixA.getMatrix());
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        ArrayList<ArrayList<BigInteger>>  b =  convertToBigInteger(matrixA.getMatrix());
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        ArrayList<ArrayList<String>>  c =  new ArrayList<ArrayList<String>>();
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        c = convertToString(matrixManipulator.subtractParallel(a, b));
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        printArray(c);
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       matrixC.setMatrixC( c );
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        return "";}
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@@ -83,5 +94,36 @@ public class MatrixOperations implements Serializable
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        }
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        return string2DArray;
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    }
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    /**
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     *
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     * @param matrix
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     * @return
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     */
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    public String printArray(ArrayList<ArrayList<String>> matrix) {
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        String output = "{\n";
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        for (int i = 0; i < matrix.size(); ++i) {
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            output += printSingleArray(matrix.get(i));
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            if ((matrix.size() - 1) > i) {
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                output += ",\n";
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            }
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        }
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        output += "\n}";
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        System.out.println(output);
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        return output;
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    }
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    public String printSingleArray(ArrayList<String> matrix) {
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        String output = "\t{";
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        for (int i = 0; i < matrix.size(); ++i) {
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            output += matrix.get(i);
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            if ((matrix.size() - 1) > i) {
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                output += ", ";
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            }
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        }
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        output += "}";
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        return output;
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    }
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}
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@@ -31,7 +31,7 @@ public class MenuBar implements Serializable
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        matrixOperations.add();///adition of matrices
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        System.out.println(matrixOperations.getMatrixC());
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        List<String> idsC = new ArrayList();
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        List<String> idsC = new ArrayList<>();
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        idsC.add("formC");
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        idsC.add("formC:datatableC");
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        idsC.add("formC:datatableC:columnsC");
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@@ -46,10 +46,10 @@ public class MenuBar implements Serializable
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        System.out.println("menu multiply was called");
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        System.out.println("menu bar multiply()");
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        matrixOperations.multiply();///adition of matrices
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        matrixOperations.multiply();///multiplication of matrices
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        System.out.println(matrixOperations.getMatrixC());
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        List<String> idsC = new ArrayList();
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        List<String> idsC = new ArrayList<>();
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        idsC.add("formC");
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        idsC.add("formC:datatableC");
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        idsC.add("formC:datatableC:columnsC");
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@@ -60,10 +60,19 @@ public class MenuBar implements Serializable
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    public void subtract()
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    {
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        message(
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                FacesMessage.SEVERITY_INFO,
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                "Not implemented.", "To be implemented."
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        );
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        System.out.println("menu subtract was called");
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        System.out.println("menu bar subtract()");
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        matrixOperations.subtract();///subtraction of matrices
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        System.out.println(matrixOperations.getMatrixC());
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        List<String> idsC = new ArrayList<>();
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        idsC.add("formC");
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        idsC.add("formC:datatableC");
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        idsC.add("formC:datatableC:columnsC");
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        idsC.add("formC:datatableC:columnsC:inputTextC");
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        //idsC.add("form-menu");//:menuBar:submenu_matrices:menuitem_add");
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        PrimeFaces.current().ajax().update(idsC);
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    }
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@@ -33,10 +33,16 @@ public class Matrices implements Matrix
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        return result;
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    }
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    @Override
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    public ArrayList<ArrayList<BigInteger>> subtractParallel(ArrayList<ArrayList<BigInteger>> A, ArrayList<ArrayList<BigInteger>> B)
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    {
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        RecursiveTask<ArrayList<ArrayList<BigInteger>>> rt
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                = new Matrices.MatricesSubtraction(0, A.size() - 1, A, B);
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        ForkJoinPool pool = new ForkJoinPool();
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        ArrayList<ArrayList<BigInteger>> result = pool.invoke(rt);
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        return result;
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    }
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    static class MatricesAddition extends RecursiveTask<ArrayList<ArrayList<BigInteger>>>
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    {
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@@ -131,6 +137,18 @@ public class Matrices implements Matrix
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        }
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        return resultsOfMultiplications;
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    }
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    public static ArrayList<BigInteger> subtractLists(ArrayList<BigInteger> list1, ArrayList<BigInteger> list2)
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    {
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        ArrayList<BigInteger> resultsOfSubtraction = new ArrayList<BigInteger>();
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        for (int bi = 0; bi < list1.size();
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                ++bi)
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        {
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            resultsOfSubtraction.add(list1.get(bi).subtract(list2.get(bi)));
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        }
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        return resultsOfSubtraction;
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    }
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    public static ArrayList<ArrayList<BigInteger>> columnMajorOrderReversal(ArrayList<ArrayList<BigInteger>> b)
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    {
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@@ -170,6 +188,14 @@ public class Matrices implements Matrix
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        return bd;
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    }
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    public static BigInteger subtract(ArrayList<BigInteger> list) {
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        BigInteger bd = BigInteger.ZERO;
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        for (int bi = 0; bi < list.size(); bi++) {
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            bd = bd.subtract(list.get(bi));
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        }
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        return bd;
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    }
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    static class MatricesMultiplication extends RecursiveTask<ArrayList<ArrayList<BigInteger>>>
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    {
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@@ -261,5 +287,98 @@ public class Matrices implements Matrix
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        }
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    }
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    static class MatricesSubtraction extends RecursiveTask<ArrayList<ArrayList<BigInteger>>>
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    {
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        ArrayList<ArrayList<BigInteger>> A;
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        ArrayList<ArrayList<BigInteger>> B;
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        ArrayList<ArrayList<BigInteger>> AxB;
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        final int HOW_MANY_ROWS_IN_PARALLEL = 3;//threshold
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        int startIndex;
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        int endIndex;
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        public MatricesSubtraction(int startIndex, int endIndex,
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                ArrayList<ArrayList<BigInteger>> A,
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                ArrayList<ArrayList<BigInteger>> B)
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        {
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            this.startIndex = startIndex;//start at this row of the matrix
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            this.endIndex = endIndex;//end at this row of the matrix
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            this.A = A;
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            this.B = B;
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            AxB = new ArrayList<ArrayList<BigInteger>>();
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        }
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        /**
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         * matrix 
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         * 1, 2, 3
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         * 4, 5, 6
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         *
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         * will be transformed to 
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         * 1, 4 
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         * 2, 5 
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         * 3, 6
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         *
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         * @param list
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         * @return
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         */
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        @Override
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        protected ArrayList<ArrayList<BigInteger>> compute()
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        {
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            //>>This is the addition of matrices in the IF.
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            //That is, HOW_MANY_ROWS_IN_PARALLEL from matrix A and HOW_MANY_ROWS_IN_PARALLEL from matrix B
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            if (this.endIndex - this.startIndex < HOW_MANY_ROWS_IN_PARALLEL)
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            {
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                ArrayList<ArrayList<BigInteger>> resultC = new ArrayList<ArrayList<BigInteger>>();
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                ArrayList<ArrayList<BigInteger>> bTransformed = columnMajorOrderReversal(B);
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                for (int biA = this.startIndex;
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                        biA <= this.endIndex;
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                        ++biA)
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                {
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                    ArrayList<BigInteger> rowA = A.get(biA);
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                    ArrayList<BigInteger> rowAxB = new ArrayList<BigInteger>();
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                    ArrayList<BigInteger> rowCalculation = new ArrayList<BigInteger>();
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                    for (int biB = 0;
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                            biB < bTransformed.size();
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                            ++biB)
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                    {
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                        ArrayList<BigInteger> rowB = bTransformed.get(biB);
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                        ArrayList<BigInteger> productsOfRow = subtractLists(rowA, rowB);
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                        BigInteger sumOfDifference = add(productsOfRow);
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                        rowCalculation.add(sumOfDifference);
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                    }
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                    resultC.add(rowCalculation);
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                }
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                return resultC;
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            }
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            else
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            {      //>> keep on FORKING the matrix until the 
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                //side of the matric is equal or less to HOW_MANY_ROWS_IN_PARALLEL
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                int mid = (this.startIndex + this.endIndex) / 2;
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                RecursiveTask<ArrayList<ArrayList<BigInteger>>> firstHalf
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                        = new MatricesMultiplication(this.startIndex, mid, A, B);
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                RecursiveTask<ArrayList<ArrayList<BigInteger>>> secondHalf
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                        = new MatricesMultiplication(mid + 1, this.endIndex, A, B);
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                firstHalf.fork();//this line will  invoke method compute
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                secondHalf.fork();///this line will  invoke method compute
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                //>> join what the FORKs returned from the IFs 
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                AxB.addAll(firstHalf.join());
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                AxB.addAll(secondHalf.join());
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                return AxB;
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            }
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        }
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    }
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}
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@@ -15,5 +15,7 @@ public interface Matrix
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{
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    ArrayList<ArrayList<BigInteger>> addParallel(ArrayList<ArrayList<BigInteger>> A, ArrayList<ArrayList<BigInteger>> B);
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    ArrayList<ArrayList<BigInteger>> multiplyParallel(ArrayList<ArrayList<BigInteger>> A, ArrayList<ArrayList<BigInteger>> B);
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    ArrayList<ArrayList<BigInteger>> subtractParallel(ArrayList<ArrayList<BigInteger>> A, ArrayList<ArrayList<BigInteger>> B);
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}
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