How we can get sets from elements of different groups?

This task may be present as LP problem.

So, let n(i) - count of elements in group i, m(j) - volume of cell number j. Our goal is to fill all calls with condition: there are elements from different groups in each cell.

Let X(i,j) - count of element that from group  i and put into cell j.

Our main goal is maximize sum(X(i,j)) for all j with follow constraints:

1)    upper bound for elements count from each group:

sum_j(X(i,j))<=n(i) for all i;

2)    upper bound for volume of each cell:

sum_i(X(i,j))<=m(j) for all j;

3) there are elements from the same group no more than t in each cell :

X(i,j)<=t for all i и j.

PyQt: create components dinamically

What to do: create some number of cells (like matrix n by m).

1) we create ScrollArea in *.ui file, and QWidget under it:

<widget class="QScrollArea" name="scrollArea">

          <property name="mouseTracking">

           <bool>true</bool>

          </property>

          <property name="verticalScrollBarPolicy">

           <enum>Qt::ScrollBarAlwaysOn</enum>

          </property>

          <property name="horizontalScrollBarPolicy">

           <enum>Qt::ScrollBarAlwaysOn</enum>

          </property>

          <property name="widgetResizable">

           <bool>true</bool>

          </property>

          <widget class="QWidget" name="contents">

           <property name="geometry">

            <rect>

             <x>0</x>

             <y>0</y>

             <width>788</width>

             <height>223</height>

            </rect>

           </property>

          </widget>

         </widget>

2) my code:

class mainWindow(QtGui.QMainWindow, UIclass.Ui_MainWindow):

    def __init__(self, win_parent = None):

        QtGui.QMainWindow.__init__(self, win_parent)

        self.setupUi(self)

        #create QGridLayout on the first start

        self.scrollArea.widget().layout = QtGui.QGridLayout()

        self.scrollArea.widget().layout.objectName='inputLayout'

        # create cells for input data

        self.connect(self.createCells, QtCore.SIGNAL("clicked()"), self.createCellsFunc)

    # function for create cells:

    def createCellsFunc(self):

        # all was doing if we know number columns and number rows

        if str(self.text1.toPlainText()).isdigit() and str(self.text2.toPlainText()).isdigit():

            # height and length for each cell

            h=25

            l=50

            # delete all old objects (exclude layout)

            for u in self.scrollArea.widget().children():

                if u.objectName!='inputLayout':

                    # "delete some later"

                    u.deleteLater()

                    # hide now

                    u.hide()

                    # set window as parent (not ScrollArea)

                    u.setParent(self)

                

            # number of columns

            hCount=int(self.text1.toPlainText())

            # number of rows

            vCount=int(self.text2.toPlainText())

            for i in range(0,hCount):

                for j in range(0,vCount):

                    # while creating insert text '0' and determine parent

                    textArea = QtGui.QTextEdit('0', self.scrollArea)

                    # we give name to the element for fast find him

                    textArea.objectName = 'a'+str(i)+'-'+str(j)

                    # dimentions

                    textArea.setMinimumSize(l,h)

                    textArea.setMaximumSize(l,h)

                    # add created element to layer of widget (textArea - adding object, (j + 1) and (i + 1) - coordinates on layer grid of adding object)

                    self.scrollArea.widget().layout.addWidget(textArea,j+1,i+1)

            # put layer to widget

            self.scrollArea.widget().setLayout(self.scrollArea.widget().layout)

            self.scrollArea.widget().layout

3) get data from cells:

            #horizontal cells count

            hCount=int(self.text1.toPlainText())

            #vertical cells count

            vCount=int(self.text2.toPlainText())

            #check for all child objects "ScrollBox": did all data is number?

            for u in self.scrollArea.findChildren(QtGui.QTextEdit):

                try:

                    float(str(u.toPlainText()))

                except:

                    self.labelWarning.setText(QtCore.QString(u'Some data is not number'))

                    return None

            

            #put data to array

            a,a0=list(),list()

            for j in range(0,vCount):

                for i in range(0,hCount):

                    for u in self.scrollArea.findChildren(QtGui.QTextEdit):

                        if u.objectName=='a'+str(i)+'-'+str(j):

                            a0.append(float(u.toPlainText()))

                a.append(a0)

                a0=list()

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