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' Generates order 7 Associated Magic Squares of Subtraction (s7 = 175, Res7 = 25)
' Diamond Inalys (s3 = 75, s4 = 100)

' Tested with Office 365 under Windows 10

Sub DiaInlay7a()

    Dim a1(49), a(49), b1(49), b(49), c(49)
    Dim b7(7), Res7(16)

y = MsgBox("Locked", vbCritical, "Routine DiaInlay7a")
    End

    n2 = 0: n3 = 0: n9 = 0: k1 = 1: k2 = 1
   
    Sheets("Klad1").Select
    
    t1 = Timer

'   Define variables
    
    GoSub 2000                                              ' Read Natural Numbers
 
a(25) = s2: b(s2) = s2

For j28 = m1 To m2                                            'a(28)        Diamond 4
     If b(j28) = 0 Then b(j28) = j28: c(28) = j28 Else GoTo 280
     a(28) = j28

     a(22) = 50 - a(28)
     If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220

For j34 = m1 To m2                                            'a(34)        Diamond 4
     If b(j34) = 0 Then b(j34) = j34: c(34) = j34 Else GoTo 340
     a(34) = j34
     
     a(16) = 50 - a(34)
     If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160
     
For j40 = m1 To m2                                            'a(40)        Diamond 4
     If b(j40) = 0 Then b(j40) = j40: c(40) = j40 Else GoTo 400
     a(40) = j40
 
     a(46) = 100 - a(40) - a(34) - a(28)
     If a(46) <= 0 Or a(46) > 49 Then GoTo 460
     If b(a(46)) = 0 Then b(a(46)) = a(46): c(46) = a(46) Else GoTo 460
     a(4) = 50 - a(46)
     If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
     a(10) = 50 - a(40)
     If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
     
For j20 = m1 To m2                                            'a(20)        Diamond 4
     If b(j20) = 0 Then b(j20) = j20: c(20) = j20 Else GoTo 200
     a(20) = j20

     a(38) = a(20) - a(46) + a(28)
     If a(38) <= 0 Or a(38) > 49 Then GoTo 380
     If b(a(38)) = 0 Then b(a(38)) = a(38): c(38) = a(38) Else GoTo 380
     a(12) = 50 - a(38)
     If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
     a(26) = 100 - a(20) - a(34) - a(28)
     If a(26) <= 0 Or a(26) > 49 Then GoTo 260
     If b(a(26)) = 0 Then b(a(26)) = a(26): c(26) = a(26) Else GoTo 260
     a(24) = 50 - a(26)
     If b(a(24)) = 0 Then b(a(24)) = a(24): c(24) = a(24) Else GoTo 240
     a(32) = 100 - a(26) - 2 * a(20) + a(46) - a(28)
     If a(32) <= 0 Or a(32) > 49 Then GoTo 320
     If b(a(32)) = 0 Then b(a(32)) = a(32): c(32) = a(32) Else GoTo 320
     a(18) = 50 - a(32)
     If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
     a(30) = 50 - a(20)
     If b(a(30)) = 0 Then b(a(30)) = a(30): c(30) = a(30) Else GoTo 300

For j27 = m1 To m2                                            'a(27)        Diamond 3
     If b(j27) = 0 Then b(j27) = j27: c(27) = j27 Else GoTo 270
     a(27) = j27
    
     a(23) = 50 - a(27)
     If b(a(23)) = 0 Then b(a(23)) = a(23): c(23) = a(23) Else GoTo 230
     
For j33 = m1 To m2                                            'a(33)        Diamond 3
     If b(j33) = 0 Then b(j33) = j33: c(33) = j33 Else GoTo 330
     a(33) = j33
     
     a(39) = 75 - a(33) - a(27)
     If a(39) <= 0 Or a(39) > 49 Then GoTo 390
     If b(a(39)) = 0 Then b(a(39)) = a(39): c(39) = a(39) Else GoTo 390
     a(11) = 50 - a(39)
     If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
     a(19) = 100 - a(33) - 2 * a(27)
     If a(19) <= 0 Or a(19) > 49 Then GoTo 190
     If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190
     a(31) = 50 - a(19)
     If b(a(31)) = 0 Then b(a(31)) = a(31): c(31) = a(31) Else GoTo 310
     a(17) = 50 - a(33)
     If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
     
For j47 = m1 To m2                                                'a(47)
     If b(j47) = 0 Then b(j47) = j47: c(47) = j47 Else GoTo 470
     a(47) = j47

     a(3) = 50 - a(47)
     If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30

     a(45) = 175 - a(38) - a(31) - a(24) - a(17) - a(10) - a(3)
     If a(45) <= 0 Or a(45) > 49 Then GoTo 450
     If b(a(45)) = 0 Then b(a(45)) = a(45): c(45) = a(45) Else GoTo 450
     a(5) = 50 - a(45)
     If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50

     i10 = 10: GoSub 1000: If Res7(i10) <> 25 Then GoTo 45

For j35 = m1 To m2                                               'a(35)
     If b(j35) = 0 Then b(j35) = j35: c(35) = j35 Else GoTo 350
     a(35) = j35

     a(15) = 50 - a(35)
     If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150

     a(21) = 175 - a(15) - a(16) - a(17) - a(18) - a(19) - a(20)
     If a(21) <= 0 Or a(21) > 49 Then GoTo 210
     If b(a(21)) = 0 Then b(a(21)) = a(21): c(21) = a(21) Else GoTo 210
     a(29) = 50 - a(21)
     If b(a(29)) = 0 Then b(a(29)) = a(29): c(29) = a(29) Else GoTo 290

     i10 = 3: GoSub 1000: If Res7(i10) <> 25 Then GoTo 285

For j49 = m1 To m2                                               'a(49)
     If b(j49) = 0 Then b(j49) = j49: c(49) = j49 Else GoTo 490
     a(49) = j49
     
     a(1) = 50 - a(49)
     If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
    
For j48 = m1 To m2                                               'a(48)
     If b(j48) = 0 Then b(j48) = j48: c(48) = j48 Else GoTo 480
     a(48) = j48

     a(2) = 50 - a(48)
     If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20

For j44 = m1 To m2                                               'a(44)
     If b(j44) = 0 Then b(j44) = j44: c(44) = j44 Else GoTo 440
     a(44) = j44
     a(6) = 50 - a(44)
     If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60

     a(43) = 175 - a(44) - a(45) - a(46) - a(47) - a(48) - a(49)
     If a(43) <= 0 Or a(43) > 49 Then GoTo 430
     If b(a(43)) = 0 Then b(a(43)) = a(43): c(43) = a(43) Else GoTo 430
     a(7) = 50 - a(43)
     If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70

     i10 = 7: GoSub 1000: If Res7(i10) <> 25 Then GoTo 65

For j42 = m1 To m2                                               'a(42)
     If b(j42) = 0 Then b(j42) = j42: c(42) = j42 Else GoTo 420
     a(42) = j42

     a(8) = 50 - a(42)
     If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
     
     a(36) = 175 - a(43) - a(29) - a(22) - a(15) - a(8) - a(1)
     If a(36) <= 0 Or a(36) > 49 Then GoTo 360
     If b(a(36)) = 0 Then b(a(36)) = a(36): c(36) = a(36) Else GoTo 360
     a(14) = 50 - a(36)
     If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140

     i10 = 8: GoSub 1000: If Res7(i10) <> 25 Then GoTo 135

     a(41) = (200 - a(27) + a(30) - a(34) - a(36) - a(38) - a(39) - a(40) - a(42) + a(44) - a(48)) / 2
     If a(41) <= 0 Or a(41) > 49 Or CInt(a(41)) <> a(41) Then GoTo 410
     If b(a(41)) = 0 Then b(a(41)) = a(41): c(41) = a(41) Else GoTo 410
     a(9) = 50 - a(41)
     If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90

     a(37) = 175 - a(41) - a(36) - a(38) - a(39) - a(40) - a(42)
     If a(37) <= 0 Or a(37) > 49 Then GoTo 370
     If b(a(37)) = 0 Then b(a(37)) = a(37): c(37) = a(37) Else GoTo 370
     a(13) = 50 - a(37)
     If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130

     i10 = 6: GoSub 1000: If Res7(i10) <> 25 Then GoTo 5
     i10 = 9: GoSub 1000: If Res7(i10) <> 25 Then GoTo 5

                                    n9 = n9 + 1
                                    GoSub 2650 'Print results (squares)
'                                   GoSub 2645 'Print results (selected numbers

5

    b(c(13)) = 0: c(13) = 0
130 b(c(37)) = 0: c(37) = 0
370 b(c(9)) = 0: c(9) = 0
90  b(c(41)) = 0: c(41) = 0
410

135 b(c(14)) = 0: c(14) = 0
140 b(c(36)) = 0: c(36) = 0
360 b(c(8)) = 0: c(8) = 0
80  b(c(42)) = 0: c(42) = 0
420 Next j42

65  b(c(7)) = 0: c(7) = 0
70  b(c(43)) = 0: c(43) = 0
430 b(c(6)) = 0: c(6) = 0
60  b(c(44)) = 0: c(44) = 0
440 Next j44

    b(c(2)) = 0: c(2) = 0
20  b(c(48)) = 0: c(48) = 0
480 Next j48

    b(c(1)) = 0: c(1) = 0
10  b(c(49)) = 0: c(49) = 0
490 Next j49

285 b(c(29)) = 0: c(29) = 0
290 b(c(21)) = 0: c(21) = 0
210 b(c(15)) = 0: c(15) = 0
150 b(c(35)) = 0: c(35) = 0
350 Next j35

45  b(c(5)) = 0: c(5) = 0
50  b(c(45)) = 0: c(45) = 0
450 b(c(3)) = 0: c(3) = 0
30  b(c(47)) = 0: c(47) = 0
470 Next j47
    
    b(c(17)) = 0: c(17) = 0
170 b(c(31)) = 0: c(31) = 0
310 b(c(19)) = 0: c(19) = 0
190 b(c(11)) = 0: c(11) = 0
110 b(c(39)) = 0: c(39) = 0
390 b(c(33)) = 0: c(33) = 0
330 Next j33

    b(c(23)) = 0: c(23) = 0
230 b(c(27)) = 0: c(27) = 0
270 Next j27

    b(c(30)) = 0: c(30) = 0
300 b(c(18)) = 0: c(18) = 0
180 b(c(32)) = 0: c(32) = 0
320 b(c(24)) = 0: c(24) = 0
240 b(c(26)) = 0: c(26) = 0
260 b(c(12)) = 0: c(12) = 0
120 b(c(38)) = 0: c(38) = 0
380 b(c(20)) = 0: c(20) = 0
200 Next j20

    b(c(10)) = 0: c(10) = 0
100 b(c(4)) = 0: c(4) = 0
40  b(c(46)) = 0: c(46) = 0
460 b(c(40)) = 0: c(40) = 0
400 Next j40
    
    b(c(16)) = 0: c(16) = 0
160 b(c(34)) = 0: c(34) = 0
340 Next j34
    
    b(c(22)) = 0: c(22) = 0
220 b(c(28)) = 0: c(28) = 0
280 Next j28
    
   t2 = Timer
    
   t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
   y = MsgBox(t10, 0, "Routine DiaInlay7a")

End

'   Print results (selected numbers)

2645 For i1 = 1 To 49
        Cells(n9, i1).Value = a(i1)
     Next i1
    
     Return

'    Print results (squares)

2650 n2 = n2 + 1
     If n2 = 5 Then
         n2 = 1: k1 = k1 + 8: k2 = 1
     Else
         If n9 > 1 Then k2 = k2 + 8
     End If
     Cells(k1 + 1, k2 + 1).Select
     
''   Cells(k1, k2 + 1).Select
     Cells(k1, k2 + 1).Font.Color = -4165632
     Cells(k1, k2 + 1).Value = n9
   
     i3 = 0
     For i1 = 1 To 7
         For i2 = 1 To 7
             i3 = i3 + 1
             Cells(k1 + i1, k2 + i2).Value = a(i3)
         Next i2
     Next i1

     Return

'    Read Natural Numbers

2000 m1 = 1: m2 = 49: s1 = 175: s2 = 25

     For i1 = m1 To m2
         a1(i1) = i1
     Next i1
     
     Erase b1
     For i1 = m1 To m2
         b1(a1(i1)) = a1(i1)
     Next i1
     Return
     
'   determine Residu line i10

1000

    Select Case i10
    
'       Rows
    
        Case 1:
                b7(1) = a(1): b7(2) = a(2): b7(3) = a(3): b7(4) = a(4): b7(5) = a(5): b7(6) = a(6): b7(7) = a(7):
                GoSub 1200
        Case 2:
                b7(1) = a(8): b7(2) = a(9): b7(3) = a(10): b7(4) = a(11): b7(5) = a(12): b7(6) = a(13): b7(7) = a(14):
                GoSub 1200
        Case 3:
                b7(1) = a(15): b7(2) = a(16): b7(3) = a(17): b7(4) = a(18): b7(5) = a(19): b7(6) = a(20): b7(7) = a(21):
                GoSub 1200
        Case 4:
                b7(1) = a(22): b7(2) = a(23): b7(3) = a(24): b7(4) = a(25): b7(5) = a(26): b7(6) = a(27): b7(7) = a(28):
                GoSub 1200
        Case 5:
                b7(1) = a(29): b7(2) = a(30): b7(3) = a(31): b7(4) = a(32): b7(5) = a(33): b7(6) = a(34): b7(7) = a(35):
                GoSub 1200
        Case 6:
                b7(1) = a(36): b7(2) = a(37): b7(3) = a(38): b7(4) = a(39): b7(5) = a(40): b7(6) = a(41): b7(7) = a(42):
                GoSub 1200
        Case 7:
                b7(1) = a(43): b7(2) = a(44): b7(3) = a(45): b7(4) = a(46): b7(5) = a(47): b7(6) = a(48): b7(7) = a(49):
                GoSub 1200
        
'       Columns
        
        Case 8:
                 b7(1) = a(1): b7(2) = a(8): b7(3) = a(15): b7(4) = a(22): b7(5) = a(29): b7(6) = a(36): b7(7) = a(43):
                 GoSub 1200
        Case 9:
                b7(1) = a(2): b7(2) = a(9): b7(3) = a(16): b7(4) = a(23): b7(5) = a(30): b7(6) = a(37): b7(7) = a(44):
                GoSub 1200
        Case 10:
                b7(1) = a(3): b7(2) = a(10): b7(3) = a(17): b7(4) = a(24): b7(5) = a(31): b7(6) = a(38): b7(7) = a(45):
                GoSub 1200
        Case 11:
                b7(1) = a(4): b7(2) = a(11): b7(3) = a(18): b7(4) = a(25): b7(5) = a(32): b7(6) = a(39): b7(7) = a(46):
                GoSub 1200
        Case 12:
                b7(1) = a(5): b7(2) = a(12): b7(3) = a(19): b7(4) = a(26): b7(5) = a(33): b7(6) = a(40): b7(7) = a(47):
                GoSub 1200
        Case 13:
                b7(1) = a(6): b7(2) = a(13): b7(3) = a(20): b7(4) = a(27): b7(5) = a(34): b7(6) = a(41): b7(7) = a(48):
                GoSub 1200
        Case 14:
                b7(1) = a(7): b7(2) = a(14): b7(3) = a(21): b7(4) = a(28): b7(5) = a(35): b7(6) = a(42): b7(7) = a(49):
                GoSub 1200
        
'       Diagonals
        
        Case 15:
                b7(1) = a(1): b7(2) = a(9): b7(3) = a(17): b7(4) = a(25): b7(5) = a(33): b7(6) = a(41): b7(7) = a(49):
                GoSub 1200
        Case 16:

                b7(1) = a(7): b7(2) = a(13): b7(3) = a(19): b7(4) = a(25): b7(5) = a(31): b7(6) = a(37): b7(7) = a(43):
                GoSub 1200
                                                       
    End Select
    
    Return
    
'   check n25
    
1050
    
    n25 = 0
    For i1 = 1 To 16
        If Res7(i1) = 25 Then n25 = n25 + 1
    Next i1

    Return

1200

    For i2 = 1 To 6
    For i1 = i2 To 7
        If b7(i2) < b7(i1) Then
            x = b7(i1)
            b7(i1) = b7(i2)
            b7(i2) = x
        End If
    Next i1
    Next i2

    Res7(i10) = b7(1) - b7(2) + b7(3) - b7(4) + b7(5) - b7(6) + b7(7)

    Return
     
End Sub

Vorige Pagina About the Author