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   | Option Explicit
 
 
Sub Schemas()
 
Dim w As Worksheet, p%(1 To 4), i%, c%, Tp%(), j%, d&, b As Long, Tz#(), Pb%(), f%
 
    Application.Calculation = xlCalculationManual
    Application.ScreenUpdating = False
 
    Set w = Worksheets("Param")
 
    d = w.Cells(Rows.Count, 2).End(xlUp).Row
 
    If d < 2 Then
        MsgBox "Aucune données trouvées"
        Exit Sub
    End If
    For i = 1 To 2
        If w.Cells(Rows.Count, 2 + i).End(xlUp).Row <> d Then
            MsgBox "Toutes les colonnes n'ont pas le même nombre de données"
            Exit Sub
        End If
    Next i
 
    'Parametres individuels
    p(1) = w.Cells(2, 2) 'minmin
    p(2) = w.Cells(2, 3) 'maxmax
    p(3) = w.Cells(2, 4) 'nb de categories
    p(4) = w.Cells(2, 5) 'cible
    For i = 3 To d
        If w.Cells(i, 2) <> p(1) Then
            MsgBox "Tous les minimums ne sont pas égaux"
            Exit Sub
        End If
        If w.Cells(i, 3) > p(2) Then
            MsgBox "Les maximums doivent être en ordre décroissant"
            Exit Sub
        End If
        p(3) = p(3) + w.Cells(i, 4)
    Next i
 
    If Not (p(3) * p(1) <= p(4) And p(3) * p(2) >= p(4)) Then
        MsgBox "Aucun schéma possible avec ces données"
        Exit Sub
    End If
 
 
    'Parametres tableau
    For i = 2 To d
        b = False
        If i > 2 Then
            If Tp(2, c) = w.Cells(i, 3) Then b = True
        End If
        If b Then
            Tp(3, c) = Tp(3, c) + w.Cells(i, 4) 'occurences
        Else
            c = c + 1
            ReDim Preserve Tp(1 To 4, 1 To c)
            Tp(1, c) = w.Cells(i, 2) 'minimum
            Tp(2, c) = w.Cells(i, 3) 'maximum
            Tp(3, c) = w.Cells(i, 4) 'occurences
        End If
        f = f + 1
        ReDim Preserve Pb(1 To 4, 1 To f)
        Pb(1, f) = w.Cells(i, 2) 'minimum
        Pb(2, f) = w.Cells(i, 3) 'maximum
        Pb(3, f) = w.Cells(i, 4) 'occurences
    Next i
    Tp(4, 1) = Tp(3, 1) 'cumul des occurences
    Pb(4, 1) = Pb(3, 1) 'cumul des occurences
    For i = 2 To c
        Tp(4, i) = Tp(4, i - 1) + Tp(3, i)
    Next i
    For i = 2 To f
        Pb(4, i) = Pb(4, i - 1) + Pb(3, i)
    Next i
 
    If ActiveSheet Is w Then Sheets.Add
 
    c = 0
 
    Tz = Sequences(p(), Tp())
    For i = 1 To UBound(Tz, 2)
        For j = 1 To UBound(Tz, 1)
            Cells(i, j) = Tz(j, i)
        Next j
    Next i
 
    Application.Calculation = xlCalculationAutomatic
    Application.ScreenUpdating = True
End Sub
 
Function NbComb#(Tc%(), Td%())
Dim Tb%(), c%, j%, s%, f#, Te%(), k%, n%
        c = 1
        ReDim Te(1 To UBound(Td, 2))
        For j = 1 To UBound(Td, 2)
            Te(j) = Td(4, j)
        Next j
        ReDim Tb(1 To 2, 1 To c)
        Tb(1, c) = Tc(1): Tb(2, c) = 1
        For j = 2 To UBound(Tc)
            Select Case Tc(j)
                Case 0
                    Exit For
                Case Tb(1, UBound(Tb, 2))
                    Tb(2, c) = Tb(2, c) + 1
                Case Else
                    c = c + 1
                    ReDim Preserve Tb(1 To 2, 1 To c)
                    Tb(1, c) = Tc(j): Tb(2, c) = 1
            End Select
        Next j
 
        NbComb = 1
        For j = 1 To UBound(Tb, 2)
            s = 0
            For k = 1 To UBound(Td, 2)
                Select Case Tb(1, j)
                    Case Td(2, k)
                        s = Te(k)
                        n = k
                        Exit For
                    Case Is > Td(2, k)
                        s = Te(k - 1)
                        n = k - 1
                        Exit For
                End Select
            Next k
            If s = 0 Then
                s = Te(UBound(Te))
                n = UBound(Te)
            End If
            NbComb = NbComb * WorksheetFunction.Combin(s, Tb(2, j))
            For k = 1 To UBound(Td, 2)
                If n <= k Then
                    Te(k) = Te(k) - Tb(2, j)
                End If
            Next k
        Next j
End Function
 
Function fFiltrage(Tc%(), Td%(), Mn%, Mx%) As Boolean
Dim i%, j%, Te%()
        fFiltrage = True
        ReDim Te(Mn To Mx)
        For i = 1 To UBound(Tc)
            For j = Mn To Tc(i)
                Te(j) = Te(j) + 1
            Next j
        Next i
        For i = Mn To Mx
            If Te(i) > Td(i) Then
                fFiltrage = False
                Exit Function
            End If
        Next i
End Function
 
 
Function fCombinN1(Mx%, Cat%, Cbl%) As Integer()
'combinaison de départ
Dim d%, s%, Tb%(), c%
    d = Mx + 1
    Do
        d = d - 1: s = 0: c = 0
        Do
            c = c + 1
            ReDim Preserve Tb(1 To c)
            Tb(c) = d: s = s + Tb(c)
            If s > Cbl Then
                s = s - d: Tb(c) = Cbl - s: s = s + Tb(c)
            End If
        Loop Until s = Cbl Or c = Cat
    Loop Until s = Cbl
    ReDim Preserve Tb(1 To Cat)
    fCombinN1 = Tb
End Function
 
Function fNextSchema(Tb%(), Cbl%) As Integer()
Dim e%, a%, j%, b(1 To 3) As Boolean, s%, c%, k%, Ts%()
    e = 1: Ts = Tb
    Do
        If e = 1 And b(3) Then
            fNextSchema = Tb
            Exit Function
        End If
        a = 0: b(3) = True
        For j = UBound(Tb) To 1 Step -1
            b(1) = False
            If Tb(j) > 1 Then
                a = a + 1
                If a = e Then
                    s = 0: c = Tb(j)
                    For k = 1 To j - 1
                        s = s + Tb(k)
                    Next k
                    s = Cbl - s
                    For k = j To UBound(Tb)
                        If c - 1 < s Then
                            Tb(k) = c - 1: s = s - Tb(k)
                        Else
                            Tb(k) = s: s = 0
                        End If
                    Next k
                    b(1) = True
                End If
            End If
            If b(1) Then
                s = 0
                For k = 1 To UBound(Tb)
                    s = s + Tb(k)
                Next k
                If s <> Cbl Then
                    For k = 1 To UBound(Tb)
                        Tb(k) = Ts(k)
                    Next k
                    e = e + 1
                    If e = UBound(Tb) + 1 Then
                        ReDim Tb(1 To 1)
                        Tb(1) = 0
                        fNextSchema = Tb
                        Exit Function
                    End If
                Else
                    e = 1
                End If
                Exit For
            End If
        Next j
    Loop
 
End Function
 
Function Sequences(p%(), Tp%()) As Double()
Dim c%, Ta%(), i%, j%, Tb%(), r%, b As Boolean, Tr#(), Te#
 
    c = 0
 
    'Tableau nbre d'occurences max autorisées pour chaque valeur possible
    ReDim Ta(p(1) To p(2))
    For i = p(1) To p(2)
        For j = 1 To UBound(Tp, 2)
            If i >= Tp(1, j) And i <= Tp(2, j) Then
                Ta(i) = Ta(i) + Tp(3, j)
            End If
        Next j
    Next i
 
    'Schema de départ
    Tb = fCombinN1(p(2), p(3), p(4))
 
    Do
        If fFiltrage(Tb(), Ta(), p(1), p(2)) Then
            r = r + 1: b = False
            ReDim Preserve Tr(1 To UBound(Tb) + 1, 1 To r)
            For i = 1 To UBound(Tb)
                Tr(i, r) = Tb(i)
                'Cells(r, i) = Tb(i)
                If Tb(i) > 1 Then b = True
            Next i
            Tr(i, r) = NbComb(Tb, Tp())
            'Cells(r, UBound(Tb) + 1) = NbComb(Tb, Tp())
            If Not b Then Exit Do
        End If
        Tb = fNextSchema(Tb(), p(4))
        If Tb(1) = 0 Then Exit Do
    Loop
    Sequences = Tr
End Function | 
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