' Generates Concentric Magic Squares of order 5 for Odd Numbers
' Suitable for Concentric Lozenge Squares of order 13 (Predefined Border)
' Tested with Office 2007 under Windows 7
Sub Priem5c1()
Dim a1(81), a(25), b1(169), b(169), c(25)
y = MsgBox("Locked", vbCritical, "Routine Priem5c1")
End
n2 = 0: n3 = 0: n9 = 0: n10 = 0: k1 = 1: k2 = 1
Sheets("Klad1").Select
' Define Variables (Odd Numbers)
a1(1) = 3: a1(2) = 5: a1(3) = 7: a1(4) = 9: a1(5) = 11:
a1(6) = 15: a1(7) = 17: a1(8) = 19: a1(9) = 21:
a1(10) = 23: a1(11) = 25: a1(12) = 27: a1(13) = 29: a1(14) = 31:
a1(15) = 33: a1(16) = 35: a1(17) = 37: a1(18) = 39:
a1(19) = 41: a1(20) = 43: a1(21) = 45: a1(22) = 47: a1(23) = 49:
a1(24) = 51: a1(25) = 53: a1(26) = 55: a1(27) = 57:
a1(28) = 59: a1(29) = 61: a1(30) = 63: a1(31) = 65: a1(32) = 67:
a1(33) = 69: a1(34) = 71: a1(35) = 73: a1(36) = 75:
a1(37) = 77: a1(38) = 79: a1(39) = 81: a1(40) = 83: a1(41) = 85:
a1(42) = 87: a1(43) = 89: a1(44) = 91: a1(45) = 93:
a1(46) = 95: a1(47) = 97: a1(48) = 99: a1(49) = 101: a1(50) = 103:
a1(51) = 105: a1(52) = 107: a1(53) = 109: a1(54) = 111:
a1(55) = 113: a1(56) = 115: a1(57) = 117: a1(58) = 119: a1(59) = 121:
a1(60) = 123: a1(61) = 125: a1(62) = 127: a1(63) = 129:
a1(64) = 131: a1(65) = 133: a1(66) = 135: a1(67) = 137: a1(68) = 139:
a1(69) = 141: a1(70) = 143: a1(71) = 145: a1(72) = 147:
a1(73) = 149: a1(74) = 151: a1(75) = 153: a1(76) = 155: a1(77) = 159:
a1(78) = 161: a1(79) = 163: a1(80) = 165: a1(81) = 167:
s1 = 425: m1 = 1: m2 = 81
For i1 = 1 To 81
b1(a1(i1)) = a1(i1)
Next i1
For j100 = 2 To 365
' Read Center Square
a(7) = Sheets("Center3").Cells(j100, 1): b(a(7)) = a(7)
a(8) = Sheets("Center3").Cells(j100, 2): b(a(8)) = a(8)
a(9) = Sheets("Center3").Cells(j100, 3): b(a(9)) = a(9)
a(12) = Sheets("Center3").Cells(j100, 4): b(a(12)) = a(12)
a(13) = Sheets("Center3").Cells(j100, 5): b(a(13)) = a(13)
a(14) = Sheets("Center3").Cells(j100, 6): b(a(14)) = a(14)
a(17) = Sheets("Center3").Cells(j100, 7): b(a(17)) = a(17)
a(18) = Sheets("Center3").Cells(j100, 8): b(a(18)) = a(18)
a(19) = Sheets("Center3").Cells(j100, 9): b(a(19)) = a(19)
' Complete Squares
For j25 = m1 To m2 'a(25)
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 b(a1(j24)) = 0 Then b(a1(j24)) = a1(j24): c(24) = a1(j24) Else GoTo 240
a(24) = a1(j24)
a(4) = 0.4 * s1 - a(24)
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
For j23 = m1 To m2 'a(23)
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 j22 = m1 To m2 'a(22)
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(2) = 0.4 * s1 - a(22)
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 j20 = m1 To m2 'a(20)
If b(a1(j20)) = 0 Then b(a1(j20)) = a1(j20): c(20) = a1(j20) Else GoTo 200
a(20) = a1(j20)
a(16) = 0.4 * s1 - a(20)
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
For j15 = m1 To m2 'a(15)
If b(a1(j15)) = 0 Then b(a1(j15)) = a1(j15): c(15) = a1(j15) Else GoTo 150
a(15) = a1(j15)
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(10) = 0.6 * s1 - a(15) - a(20) + a(21) - a(25)
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(6) = 0.4 * s1 - a(10)
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
' Exclude solutions with identical numbers
GoSub 800: If fl1 = 0 Then GoTo 5
n10 = n10 + 1
' n9 = n9 + 1: GoSub 640 'Print results (selected numbers)
n9 = n9 + 1: GoSub 650 'Print results (squares)
Erase b, c: GoTo 500 'Print only first square for j100
5
b(c(6)) = 0: c(6) = 0
60 b(c(10)) = 0: c(10) = 0
100 b(c(11)) = 0: c(11) = 0
110 b(c(15)) = 0: c(15) = 0
150 Next j15
b(c(16)) = 0: c(16) = 0
160 b(c(20)) = 0: c(20) = 0
200 Next j20
b(c(2)) = 0: c(2) = 0
20 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(3)) = 0: c(3) = 0
30 b(c(23)) = 0: c(23) = 0
230 Next j23
b(c(4)) = 0: c(4) = 0
40 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
' Sheets("Klad2").Cells(j100, 1).Value = j100
' Sheets("Klad2").Cells(j100, 2).Value = n10
n10 = 0: Erase b, c
n2 = 0: k1 = k1 + 6: k2 = -5
500 Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine Priem5c1")
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).Select
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = CStr(j100 - 1) + "_" + CStr(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
800 fl1 = 1
For j1 = 1 To 25
a2 = a(j1): If a2 = 0 Then GoTo 810
For j2 = (1 + j1) To 25
If a2 = a(j2) Then fl1 = 0: Return
Next j2
810 Next j1
Return
End Sub
