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' Constructs Prime Number Magic Squares of order 10

' Tested with Office 2007 under Windows 7

Sub CnstrSqrs10b()

Dim a2(10), b2(100), a(100), b(100), c(100)
   
y = MsgBox("Locked", vbExclamation, "Routine CnstrSqrs10b")
End

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

    t1 = Timer
    
For j1 = 2 To 9

'   Read (Balanced) Magic Lines

    For j2 = 1 To 10: a2(j2) = Sheets("Att103").Cells(j1, j2).Value: Next j2
    For j2 = 1 To 10: b2(j2) = Sheets("Att103").Cells(j1, j2 + 11).Value: Next j2
    s1 = Sheets("Att103").Cells(j1, 23).Value
    
'   Construct squares a() and b()

    GoSub 200

'   Calculate Square c()

    For j2 = 1 To 100
        c(j2) = a(j2) + b(j2)
    Next j2

'   Print results

    GoSub 800: If fl1 = 0 Then GoTo 70

'   n9 = n9 + 1: GoSub 640  'Lines
    n9 = n9 + 1: GoSub 650  'Squares

70 Next j1
    
    t2 = Timer
    
    t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
    y = MsgBox(t10, vbInformation, "Routine CnstrSqrs10b")
    
End

'   Construct squares a() and b()

200

'   Simple Magic

    a(1) = a2(1):   a(2) = a2(2):   a(3) = a2(3):   a(4) = a2(4):   a(5) = a2(5):
    a(6) = a2(6):   a(7) = a2(7):   a(8) = a2(8):   a(9) = a2(9):   a(10) = a2(10):
    a(11) = a2(2):  a(12) = a2(7):  a(13) = a2(10): a(14) = a2(8):  a(15) = a2(1):
    a(16) = a2(3):  a(17) = a2(9):  a(18) = a2(5):  a(19) = a2(4):  a(20) = a2(6):
    a(21) = a2(4):  a(22) = a2(1):  a(23) = a2(2):  a(24) = a2(7):  a(25) = a2(8):
    a(26) = a2(5):  a(27) = a2(10): a(28) = a2(9):  a(29) = a2(6):  a(30) = a2(3):
    a(31) = a2(3):  a(32) = a2(8):  a(33) = a2(4):  a(34) = a2(6):  a(35) = a2(9):
    a(36) = a2(2):  a(37) = a2(1):  a(38) = a2(10): a(39) = a2(5):  a(40) = a2(7):
    a(41) = a2(9):  a(42) = a2(5):  a(43) = a2(1):  a(44) = a2(2):  a(45) = a2(10):
    a(46) = a2(7):  a(47) = a2(4):  a(48) = a2(6):  a(49) = a2(3):  a(50) = a2(8):
    a(51) = a2(6):  a(52) = a2(3):  a(53) = a2(5):  a(54) = a2(10): a(55) = a2(2):
    a(56) = a2(9):  a(57) = a2(8):  a(58) = a2(4):  a(59) = a2(7):  a(60) = a2(1):
    a(61) = a2(8):  a(62) = a2(4):  a(63) = a2(7):  a(64) = a2(3):  a(65) = a2(6):
    a(66) = a2(10): a(67) = a2(5):  a(68) = a2(2):  a(69) = a2(1):  a(70) = a2(9):
    a(71) = a2(7):  a(72) = a2(10): a(73) = a2(8):  a(74) = a2(9):  a(75) = a2(4):
    a(76) = a2(1):  a(77) = a2(6):  a(78) = a2(3):  a(79) = a2(2):  a(80) = a2(5):
    a(81) = a2(10): a(82) = a2(6):  a(83) = a2(9):  a(84) = a2(5):  a(85) = a2(7):
    a(86) = a2(4):  a(87) = a2(3):  a(88) = a2(1):  a(89) = a2(8):  a(90) = a2(2):
    a(91) = a2(5):  a(92) = a2(9):  a(93) = a2(6):  a(94) = a2(1):  a(95) = a2(3):
    a(96) = a2(8):  a(97) = a2(2):  a(98) = a2(7):  a(99) = a2(10): a(100) = a2(4):
    
    b(1) = b2(1):   b(2) = b2(2):   b(3) = b2(3):   b(4) = b2(4):   b(5) = b2(5):
    b(6) = b2(6):   b(7) = b2(7):   b(8) = b2(8):   b(9) = b2(9):   b(10) = b2(10):
    b(11) = b2(9):  b(12) = b2(8):  b(13) = b2(7):  b(14) = b2(6):  b(15) = b2(10):
    b(16) = b2(1):  b(17) = b2(5):  b(18) = b2(4):  b(19) = b2(3):  b(20) = b2(2):
    b(21) = b2(2):  b(22) = b2(3):  b(23) = b2(4):  b(24) = b2(5):  b(25) = b2(1):
    b(26) = b2(10): b(27) = b2(6):  b(28) = b2(7):  b(29) = b2(8):  b(30) = b2(9):
    b(31) = b2(10): b(32) = b2(9):  b(33) = b2(8):  b(34) = b2(7):  b(35) = b2(6):
    b(36) = b2(5):  b(37) = b2(4):  b(38) = b2(3):  b(39) = b2(2):  b(40) = b2(1):
    b(41) = b2(8):  b(42) = b2(7):  b(43) = b2(6):  b(44) = b2(10): b(45) = b2(2):
    b(46) = b2(9):  b(47) = b2(1):  b(48) = b2(5):  b(49) = b2(4):  b(50) = b2(3):
    b(51) = b2(4):  b(52) = b2(5):  b(53) = b2(1):  b(54) = b2(9):  b(55) = b2(8):
    b(56) = b2(3):  b(57) = b2(2):  b(58) = b2(10): b(59) = b2(6):  b(60) = b2(7):
    b(61) = b2(7):  b(62) = b2(6):  b(63) = b2(10): b(64) = b2(2):  b(65) = b2(3):
    b(66) = b2(8):  b(67) = b2(9):  b(68) = b2(1):  b(69) = b2(5):  b(70) = b2(4):
    b(71) = b2(3):  b(72) = b2(4):  b(73) = b2(5):  b(74) = b2(1):  b(75) = b2(9):
    b(76) = b2(2):  b(77) = b2(10): b(78) = b2(6):  b(79) = b2(7):  b(80) = b2(8):
    b(81) = b2(5):  b(82) = b2(1):  b(83) = b2(2):  b(84) = b2(3):  b(85) = b2(4):
    b(86) = b2(7):  b(87) = b2(8):  b(88) = b2(9):  b(89) = b2(10): b(90) = b2(6):
    b(91) = b2(6):  b(92) = b2(10): b(93) = b2(9):  b(94) = b2(8):  b(95) = b2(7):
    b(96) = b2(4):  b(97) = b2(3):  b(98) = b2(2):  b(99) = b2(1):  b(100) = b2(5):

    Return

'   Exclude solutions with identical numbers

800 fl1 = 1
    For j10 = 1 To 100
       c2 = c(j10)
       For j20 = (1 + j10) To 100
           If c2 = c(j20) Then fl1 = 0: Return
       Next j20
    Next j10
    Return

'   Print results (selected numbers)

640 Cells(n9, 101).Select
    For i1 = 1 To 100
        Cells(n9, i1).Value = c(i1)
    Next i1
    Cells(n9, 101).Value = n9
    Return

'   Print results (squares)

650 n1 = n1 + 1
    If n1 = 3 Then
        n1 = 1: k1 = k1 + 11: k2 = 1
    Else
        If n9 > 1 Then k2 = k2 + 11
    End If
    
    Cells(k1, k2 + 1).Select
    Cells(k1, k2 + 1).Font.Color = -4165632
    Cells(k1, k2 + 1).Value = s1
    
    i3 = 0
    For i1 = 1 To 10
        For i2 = 1 To 10
            i3 = i3 + 1
            Cells(k1 + i1, k2 + i2).Value = c(i3)
        Next i2
    Next i1
    Return
    
End Sub

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