Vorige Pagina About the Author

' Order 5 Associated Magic Squares with Diamond Inlay (Non Cons Int 1 ... 196)
' Potential Square Inlays

' Tested with Office 365 under Windows 10

Sub MgcSqr2032()

Dim a1(196), a(25), b1(196), b(196), c(25)

y = MsgBox("Locked", vbCritical, "Routine MgcSqr2032")
End

    n2 = 0: n9 = 0: k1 = 1: k2 = 1
    ShtNm1 = "Pairs14"
    
    Sheets("Klad1").Select
    
    t1 = Timer

For j100 = 3 To 346

'   Read Integers From sheet ShtNm1

    Chk3 = Sheets(ShtNm1).Cells(j100, 3).Value
    If Chk3 = 0 Then GoTo 1000
    
    nPrs = Sheets(ShtNm1).Cells(j100, 2).Value
    If nPrs < 12 Then GoTo 1000
    
    s1 = 5 * Sheets(ShtNm1).Cells(j100, 1).Value / 2
    nVar = Sheets(ShtNm1).Cells(j100, 9).Value

    For i1 = 1 To nVar
        a1(i1) = Sheets(ShtNm1).Cells(j100, i1 + 9).Value
    Next i1

    Erase b1
    For i1 = 1 To nVar
        b1(a1(i1)) = a1(i1)
    Next i1

    m1 = 1: m2 = nVar

y = MsgBox(CStr(s1), 1, "Test " + CStr(n9))
If y = 2 Then End

'   *** Block  Here If Applicable ***

a(13) = 0.2 * s1: b(a(13)) = a(13)

For j23 = m1 To m2                                          'a(23)  Diamond
If b1(a1(j23)) = 0 Then GoTo 230
If b(a1(j23)) = 0 Then b(a1(j23)) = a1(j23): c(23) = a1(j23) Else GoTo 230
a(23) = a1(j23)

a(3) = 0.4 * s1 - a(23)
If a(3) < a1(m1) Or a(3) > a1(m2) Then GoTo 30
If b1(a(3)) = 0 Then GoTo 30
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30

For j19 = m1 To m2                                           'a(19) Diamond
If b1(a1(j19)) = 0 Then GoTo 190
If b(a1(j19)) = 0 Then b(a1(j19)) = a1(j19): c(19) = a1(j19) Else GoTo 190
a(19) = a1(j19)

a(17) = 0.8 * s1 - a(19) - 2 * a(23)
If a(17) < a1(m1) Or a(17) > a1(m2) Then GoTo 170
If b1(a(17)) = 0 Then GoTo 170
If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170

a(15) = 0.6 * s1 - a(19) - a(23)
If a(15) < a1(m1) Or a(15) > a1(m2) Then GoTo 150
If b1(a(15)) = 0 Then GoTo 150
If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150

a(11) = 0.4 * s1 - a(15)
If a(11) < a1(m1) Or a(11) > a1(m2) Then GoTo 110:
If b1(a(11)) = 0 Then GoTo 110
If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110

a(9) = 0.4 * s1 - a(17)
If a(9) < a1(m1) Or a(9) > a1(m2) Then GoTo 90
If b1(a(9)) = 0 Then GoTo 90
If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90

a(7) = 0.4 * s1 - a(19)
If a(7) < a1(m1) Or a(7) > a1(m2) Then GoTo 70
If b1(a(7)) = 0 Then GoTo 70
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70

For j25 = m1 To m2                                          'a(25)  Remainder
If b1(a1(j25)) = 0 Then GoTo 250
If b(a1(j25)) = 0 Then b(a1(j25)) = a1(j25): c(25) = a1(j25) Else GoTo 250
a(25) = a1(j25)

a(1) = 0.4 * s1 - a(25)
If a(1) < a1(m1) Or a(1) > a1(m2) Then GoTo 10
If b1(a(1)) = 0 Then GoTo 10
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10

For j24 = m1 To m2                                          'a(24)
If b1(a1(j24)) = 0 Then GoTo 240
If b(a1(j24)) = 0 Then b(a1(j24)) = a1(j24): c(24) = a1(j24) Else GoTo 240
a(24) = a1(j24)

a(2) = 0.4 * s1 - a(24)
If a(2) < a1(m1) Or a(2) > a1(m2) Then GoTo 20
If b1(a(2)) = 0 Then GoTo 20
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20

For j22 = m1 To m2                                          'a(22)
If b1(a1(j22)) = 0 Then GoTo 220
If b(a1(j22)) = 0 Then b(a1(j22)) = a1(j22): c(22) = a1(j22) Else GoTo 220
a(22) = a1(j22)

a(21) = s1 - a(22) - a(23) - a(24) - a(25)
If a(21) < a1(m1) Or a(21) > a1(m2) Then GoTo 210
If b1(a(21)) = 0 Then GoTo 210
If b(a(21)) = 0 Then b(a(21)) = a(21): c(21) = a(21) Else GoTo 210

a(5) = 0.4 * s1 - a(21)
If a(5) < a1(m1) Or a(5) > a1(m2) Then GoTo 50
If b1(a(5)) = 0 Then GoTo 50
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50

a(4) = 0.4 * s1 - a(22)
If a(4) < a1(m1) Or a(4) > a1(m2) Then GoTo 40
If b1(a(4)) = 0 Then GoTo 40
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40

a(14) = s1 - 2 * a(19) + a(22) - 2 * a(23) - a(24)
If a(14) < a1(m1) Or a(14) > a1(m2) Then GoTo 140
If b1(a(14)) = 0 Then GoTo 140
If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140

a(12) = 0.4 * s1 - a(14)
If a(12) < a1(m1) Or a(12) > a1(m2) Then GoTo 120
If b1(a(12)) = 0 Then GoTo 120
If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120

For j20 = m1 To m2                                          'a(20)
If b1(a1(j20)) = 0 Then GoTo 200
If b(a1(j20)) = 0 Then b(a1(j20)) = a1(j20): c(20) = a1(j20) Else GoTo 200
a(20) = a1(j20)

a(6) = 2 * s1 / 5 - a(20)
If a(6) < a1(m1) Or a(6) > a1(m2) Then GoTo 60
If b1(a(6)) = 0 Then GoTo 60
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60

a(16) = -0.6 * s1 - a(19) + a(20) + a(22) + a(24) + 2 * a(25)
If a(16) < a1(m1) Or a(16) > a1(m2) Then GoTo 160
If b1(a(16)) = 0 Then GoTo 160
If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160

a(10) = 2 * s1 / 5 - a(16)
If a(10) < a1(m1) Or a(10) > a1(m2) Then GoTo 100:
If b1(a(10)) = 0 Then GoTo 100
If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100

a(18) = 0.8 * s1 + a(19) - 2 * a(20) - a(22) + 2 * a(23) - a(24) - 2 * a(25)
If a(18) < a1(m1) Or a(18) > a1(m2) Then GoTo 180
If b1(a(18)) = 0 Then GoTo 180
If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180

a(8) = 0.4 * s1 - a(18)
If a(8) < a1(m1) Or a(8) > a1(m2) Then GoTo 80
If b1(a(8)) = 0 Then GoTo 80
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80

'                          Exclude solutions with identical numbers

                           GoSub 800: If fl1 = 0 Then GoTo 5

                           n10 = n10 + 1
                           n9 = n9 + 1: GoSub 650   'Print results (squares)
'                          n9 = n9 + 1: GoSub 640   'Print results (selected numbers)
                           Erase b, c: GoTo 1000    'Print only first square
5
                          
    b(c(8)) = 0: c(8) = 0
80  b(c(18)) = 0: c(18) = 0
180 b(c(10)) = 0: c(10) = 0
100 b(c(16)) = 0: c(16) = 0
160 b(c(6)) = 0: c(6) = 0
60  b(c(20)) = 0: c(20) = 0
200 Next j20
    
    b(c(12)) = 0: c(12) = 0
120 b(c(14)) = 0: c(14) = 0
140 b(c(4)) = 0: c(4) = 0
40  b(c(5)) = 0: c(5) = 0
50  b(c(21)) = 0: c(21) = 0
210 b(c(22)) = 0: c(22) = 0
220 Next j22

    b(c(2)) = 0: c(2) = 0
20  b(c(24)) = 0: c(24) = 0
240 Next j24

    b(c(1)) = 0: c(1) = 0
10  b(c(25)) = 0: c(25) = 0
250 Next j25

    b(c(7)) = 0: c(7) = 0
70  b(c(9)) = 0: c(9) = 0
90  b(c(11)) = 0: c(11) = 0
110 b(c(15)) = 0: c(15) = 0
150 b(c(17)) = 0: c(17) = 0
170 b(c(19)) = 0: c(19) = 0
190 Next j19

    b(c(3)) = 0: c(3) = 0
30  b(c(23)) = 0: c(23) = 0
230 Next j23

      n10 = 0: b(a(13)) = 0
1000  Next j100
    
    t2 = Timer
    
    t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
    y = MsgBox(t10, 0, "Routine MgcSqr2032")

End

'   Print results (selected numbers)

640
    For i1 = 1 To 25
        Cells(n9, i1).Value = a(i1)
    Next i1
    
    Return

'   Print results (squares)

650 n2 = n2 + 1
    If n2 = 5 Then
        n2 = 1: k1 = k1 + 6: k2 = 1
    Else
        If n9 > 1 Then k2 = k2 + 6
    End If

    Cells(k1, k2 + 1).Font.Color = -4165632
    Cells(k1, k2 + 1).Value = "MC = " + CStr(s1)    'n10
    
    i3 = 0
    For i1 = 1 To 5
        For i2 = 1 To 5
            i3 = i3 + 1
            Cells(k1 + i1, k2 + i2).Value = a(i3)
        Next i2
    Next i1

    Return
    
'   Exclude solutions with identical numbers or out of range

800 fl1 = 1
    For j1 = 1 To 25
       a2 = a(j1)
       For j2 = (1 + j1) To 25
           If a2 = a(j2) Then fl1 = 0: Return
       Next j2
    Next j1
    Return

End Sub

Vorige Pagina About the Author