' Constructs 10 x 10 Eccentric Magic Squares for Prime Numbers (Part 1)
' Split Border Lines
' Tested with Office 2007 under Windows 7
Sub Priem10d1()
Dim a1(2448), a(100), a10(100), b1(43300), b(43300), c(100)
y = MsgBox("Locked", vbCritical, "Routine Priem10d1")
End
Sheets("Klad1").Select
n5 = 0: n9 = 0: k1 = 1: k2 = 1
ShtNm1 = "Pairs8"
ShtNm2 = "Ecc8"
t1 = Timer
For j100 = 2 To 146 ''2237
' Start Reading Data ShtNm2
Rcrd1a = Sheets(ShtNm2).Cells(j100, 66).Value
MC8 = Sheets(ShtNm2).Cells(j100, 65).Value
' Read Prime Numbers From Sheet ShtNm1
Pr10 = Sheets(ShtNm1).Cells(Rcrd1a, 1).Value 'PairSum
s1 = 3 * Pr10 / 2 'Magic Sum 3 x 3
s8 = Sheets(ShtNm1).Cells(Rcrd1a, 4).Value 'Magic Sum 8 x 8
s10 = 5 * Pr10 'Magic Sum 10 x 10
nVar = Sheets(ShtNm1).Cells(Rcrd1a, 5).Value
If nVar < 100 Then GoTo 1000
If MC8 <> s8 Then
y = MsgBox("Conflict in Data", vbCritical, "Read " + ShtNm2)
End
End If
Erase b1
For j1 = 1 To nVar
x = Sheets(ShtNm1).Cells(Rcrd1a, 6 + j1).Value
b1(x) = x
Next j1
pMax = Sheets(ShtNm1).Cells(Rcrd1a, 6 + nVar).Value
' Read Eccentric Square 8 x 8
For i1 = 1 To 64
a(i1) = Sheets(ShtNm2).Cells(j100, i1).Value
Next i1
GoSub 950 'Remove used primes from available primes
s102 = a(6) + a(13) + a(20) + a(27) + a(34) + a(41)
' Store Magic Square 8 x 8 in a10()
Erase a10
a10(23) = a(1): a10(24) = a(2): a10(25) = a(3): a10(26) = a(4):
a10(27) = a(5): a10(28) = a(6): a10(29) = a(7): a10(30) = a(8):
a10(33) = a(9): a10(34) = a(10): a10(35) = a(11): a10(36) = a(12):
a10(37) = a(13): a10(38) = a(14): a10(39) = a(15): a10(40) = a(16):
a10(43) = a(17): a10(44) = a(18): a10(45) = a(19): a10(46) = a(20):
a10(47) = a(21): a10(48) = a(22): a10(49) = a(23): a10(50) = a(24):
a10(53) = a(25): a10(54) = a(26): a10(55) = a(27): a10(56) = a(28):
a10(57) = a(29): a10(58) = a(30): a10(59) = a(31): a10(60) = a(32):
a10(63) = a(33): a10(64) = a(34): a10(65) = a(35): a10(66) = a(36):
a10(67) = a(37): a10(68) = a(38): a10(69) = a(39): a10(70) = a(40):
a10(73) = a(41): a10(74) = a(42): a10(75) = a(43): a10(76) = a(44):
a10(77) = a(45): a10(78) = a(46): a10(79) = a(47): a10(80) = a(48):
a10(83) = a(49): a10(84) = a(50): a10(85) = a(51): a10(86) = a(52):
a10(87) = a(53): a10(88) = a(54): a10(89) = a(55): a10(90) = a(56):
a10(93) = a(57): a10(94) = a(58): a10(95) = a(59): a10(96) = a(60):
a10(97) = a(61): a10(98) = a(62): a10(99) = a(63): a10(100) = a(64):
Erase a
' Restore available pairs in a1()
n10 = 0
For j1 = 1 To pMax
If b1(j1) <> 0 Then
n10 = n10 + 1
a1(n10) = b1(j1)
End If
Next j1
m1 = 1: m2 = n10
If a1(1) = 1 Then m1 = 2: m2 = m2 - 1
' Determine Main Diagonal and related pairs
For j1 = m1 To m2
If b(a1(j1)) = 0 Then b(a1(j1)) = a1(j1): c(1) = a1(j1) Else GoTo 10
a(1) = a1(j1)
a(5) = Pr10 - a(1): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j2 = m1 To m2
If b(a1(j2)) = 0 Then b(a1(j2)) = a1(j2): c(2) = a1(j2) Else GoTo 20
a(2) = a1(j2)
a(6) = Pr10 - a(2): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
For j3 = m1 To m2
If b(a1(j3)) = 0 Then b(a1(j3)) = a1(j3): c(3) = a1(j3) Else GoTo 30
a(3) = a1(j3)
a(7) = Pr10 - a(3): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
a(4) = (s10 - s102) - a(3) - a(2) - a(1)
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(8) = Pr10 - a(4): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
a10(9) = a(6): a10(10) = a(1):
a10(19) = a(2): a10(20) = a(5):
a10(81) = a(7): a10(82) = a(3):
a10(91) = a(4): a10(92) = a(8):
a(9) = s1 - a(4) - a(7)
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(11) = Pr10 - a(9): If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
a10(71) = a(9): a10(72) = a(11):
a(10) = s1 - a(1) - a(6)
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(12) = Pr10 - a(10): If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
a10(8) = a(10): a10(18) = a(12):
GoSub 800: If fl1 = 0 Then GoTo 5 'Double Check Identical Numbers a10()
n9 = n9 + 1
' GoSub 1650 'Print results (squares)
GoSub 1640 'Print results (selected numbers)
Erase b1, b, c: GoTo 1000 'Print only first square
5 b(c(12)) = 0: c(12) = 0
120 b(c(10)) = 0: c(10) = 0
100 b(c(11)) = 0: c(11) = 0
110 b(c(9)) = 0: c(9) = 0
90 b(c(8)) = 0: c(8) = 0
80 b(c(4)) = 0: c(4) = 0
40 b(c(7)) = 0: c(7) = 0
70 b(c(3)) = 0: c(3) = 0
30 Next j3
b(c(6)) = 0: c(6) = 0
60 b(c(2)) = 0: c(2) = 0
20 Next j2
b(c(5)) = 0: c(5) = 0
50 b(c(1)) = 0: c(1) = 0
10 Next j1
Erase b1, b, c
1000 Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine Priem10d1")
End
' Double Check Identical Numbers a10()
800 fl1 = 1
For i1 = 1 To 100
a20 = a10(i1): If a20 = 0 Then GoTo 810
For i2 = (1 + i1) To 100
If a20 = a10(i2) Then fl1 = 0: Return
Next i2
810 Next i1
Return
' Remove used pairs from b1()
950 For i1 = 1 To 100
b1(a(i1)) = 0
Next i1
Return
' Print results (lines)
1640 Cells(n9, 101).Select
For i1 = 1 To 100
Cells(n9, i1).Value = a10(i1)
Next i1
Cells(n9, 101).Value = s10
Cells(n9, 102).Value = Rcrd1a
Return
' Print results (squares)
1650 n2 = n2 + 1
If n2 = 3 Then
n2 = 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 = "MC = " + CStr(s10)
i3 = 0
For i1 = 1 To 10
For i2 = 1 To 10
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a10(i3)
Next i2
Next i1
Return
End Sub
