' Generates Associated Lozenge Squares of order 9 (L. S. Frierson)
' Associated Diamond Inlays order 4 and 5
' Tested with Office 2007 under Windows 7
Sub MgcSqr9b2()
Dim a1(81), a(25), a9(81), b1(81), b(81), c(25), c9(81)
y = MsgBox("Locked", vbCritical, "Routine MgcSqr9b2")
End
Sheets("Klad1").Select
n5 = 0: n9 = 0: k1 = 1: k2 = 1
' Define Parameters
Pr3 = 82 'PairSum
Cntr3 = 41 'Center Element
s5 = 5 * Cntr3 'MC5
s4 = 2 * Pr3 'MC4
s3 = 3 * Cntr3 'MC3
s9 = 9 * Cntr3 'MC9
nvar = 81
ShtNm2 = "Sqrs4"
t1 = Timer
For j100 = 728 To 728 ''2 To 1001
' Redefine integers
Erase b1
For j1 = 1 To nvar
a1(j1) = j1: b1(j1) = j1
Next j1
m1 = 1: m2 = nvar
' Read Diamond 4 x 4 (Associated Magic Square)
For i1 = 1 To 16
a(i1) = Sheets(ShtNm2).Cells(j100, i1).Value
b(a(i1)) = a(i1)
Next i1
Erase a9
i45 = 4: GoSub 1750 'Store in a9()
Erase a
' Generate Diamond 5 x 5 (Associated Magic Square)
a(13) = 0.2 * s5: b(a(13)) = a(13)
For j25 = m1 To m2 Step 2 '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 * s5 - 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 Step 2 '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(2) = 0.4 * s5 - 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 j23 = m1 To m2 Step 2 '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 * s5 - 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 Step 2 '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) = s5 - 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 CInt(a(21) / 2) = a(21) / 2 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 * s5 - 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 * s5 - 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
For j20 = m1 To m2 Step 2 '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(6) = 2 * s5 / 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
For j19 = m1 To m2 Step 2 'a(19)
If b(a1(j19)) = 0 Then b(a1(j19)) = a1(j19): c(19) = a1(j19) Else GoTo 190
a(19) = a1(j19)
a(7) = 0.4 * s5 - 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 j18 = m1 To m2 Step 2 'a(18)
If b(a1(j18)) = 0 Then b(a1(j18)) = a1(j18): c(18) = a1(j18) Else GoTo 180
a(18) = a1(j18)
a(8) = 0.4 * s5 - 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
For j17 = m1 To m2 Step 2 'a(17)
If b(a1(j17)) = 0 Then b(a1(j17)) = a1(j17): c(17) = a1(j17) Else GoTo 170
a(17) = a1(j17)
a(16) = s5 - a(17) - a(18) - a(19) - a(20)
If a(16) < a1(m1) Or a(16) > a1(m2) Then GoTo 160
If b1(a(16)) = 0 Then GoTo 160
If CInt(a(16) / 2) = a(16) / 2 Then GoTo 160
If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160
a(15) = s5 / 5 + a(16) - a(20) + a(21) - a(25)
If a(15) < a1(m1) Or a(15) > a1(m2) Then GoTo 150
If b1(a(15)) = 0 Then GoTo 150
If CInt(a(15) / 2) = a(15) / 2 Then GoTo 150
If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
a(14) = s5 / 5 + a(17) - a(19) + a(22) - a(24)
If a(14) < a1(m1) Or a(14) > a1(m2) Then GoTo 140
If b1(a(14)) = 0 Then GoTo 140
If CInt(a(14) / 2) = a(14) / 2 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 * s5 - 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
a(11) = 0.4 * s5 - 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) = 2 * s5 / 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(9) = 0.4 * s5 - 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
i45 = 5: GoSub 1750 'Store in a9()
GoSub 800: If fl1 = 0 Then GoTo 5 'Check Frierson Properties
GoSub 2000 'Complete Border
If fl1 = 0 Then GoTo 5 'No Border Found
GoSub 1800 'Double Check Identical Integers a9()
If fl1 = 1 Then
n9 = n9 + 1: GoSub 1650 'Print Composed Squares a9()
End If
Erase b, c: GoTo 1000 'Print only first square
' Erase b, c: a(13) = 41: b(41) = 41: GoTo 250 'Print only first square for j25
5
b(c(9)) = 0: c(9) = 0
90 b(c(10)) = 0: c(10) = 0
100 b(c(11)) = 0: c(11) = 0
110 b(c(12)) = 0: c(12) = 0
120 b(c(14)) = 0: c(14) = 0
140 b(c(15)) = 0: c(15) = 0
150 b(c(16)) = 0: c(16) = 0
160 b(c(17)) = 0: c(17) = 0
170 Next j17
b(c(8)) = 0: c(8) = 0
80 b(c(18)) = 0: c(18) = 0
180 Next j18
b(c(7)) = 0: c(7) = 0
70 b(c(19)) = 0: c(19) = 0
190 Next j19
b(c(6)) = 0: c(6) = 0
60 b(c(20)) = 0: c(20) = 0
200 Next j20
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(3)) = 0: c(3) = 0
30 b(c(23)) = 0: c(23) = 0
230 Next j23
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
1000 Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s9)
y = MsgBox(t10, 0, "Routine MgcSqr9b2")
End
' Check Frierson Properties Diamond (5 x 5)
800 fl1 = 1
' Around Hor Axes
y1 = a9(5) Mod 10: y2 = a9(77) Mod 10: If y1 <> y2 Then fl1 = 0: Return
y1 = a9(23) Mod 10: y2 = a9(59) Mod 10: If y1 <> y2 Then fl1 = 0: Return
y1 = a9(13) Mod 10: y2 = a9(67) Mod 10: If y1 <> y2 Then fl1 = 0: Return
y1 = a9(31) Mod 10: y2 = a9(49) Mod 10: If y1 <> y2 Then fl1 = 0: Return
y1 = a9(21) Mod 10: y2 = a9(57) Mod 10: If y1 <> y2 Then fl1 = 0: Return
y1 = a9(29) Mod 10: y2 = a9(47) Mod 10: If y1 <> y2 Then fl1 = 0: Return
y1 = a9(15) Mod 10: y2 = a9(69) Mod 10: If y1 <> y2 Then fl1 = 0: Return
y1 = a9(33) Mod 10: y2 = a9(51) Mod 10: If y1 <> y2 Then fl1 = 0: Return
y1 = a9(25) Mod 10: y2 = a9(61) Mod 10: If y1 <> y2 Then fl1 = 0: Return
y1 = a9(35) Mod 10: y2 = a9(53) Mod 10: If y1 <> y2 Then fl1 = 0: Return
' Around Vert Axes
y1 = a9(13) + a9(15): y2 = y1 Mod 10: If y2 <> 2 Then fl1 = 0: Return
y1 = a9(21) + a9(25): y2 = y1 Mod 10: If y2 <> 2 Then fl1 = 0: Return
y1 = a9(29) + a9(35): y2 = y1 Mod 10: If y2 <> 2 Then fl1 = 0: Return
y1 = a9(31) + a9(33): y2 = y1 Mod 10: If y2 <> 2 Then fl1 = 0: Return
y1 = a9(37) + a9(45): y2 = y1 Mod 10: If y2 <> 2 Then fl1 = 0: Return
y1 = a9(39) + a9(43): y2 = y1 Mod 10: If y2 <> 2 Then fl1 = 0: Return
y1 = a9(47) + a9(53): y2 = y1 Mod 10: If y2 <> 2 Then fl1 = 0: Return
y1 = a9(49) + a9(51): y2 = y1 Mod 10: If y2 <> 2 Then fl1 = 0: Return
y1 = a9(57) + a9(61): y2 = y1 Mod 10: If y2 <> 2 Then fl1 = 0: Return
y1 = a9(67) + a9(69): y2 = y1 Mod 10: If y2 <> 2 Then fl1 = 0: Return
Return
' Print results (squares)
1650 n5 = n5 + 1
If n5 = 5 Then
n5 = 1: k1 = k1 + 10: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 10
End If
Cells(k1, k2 + 1).Select
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = j100
i3 = 0
For i1 = 1 To 9
For i2 = 1 To 9
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a9(i3)
Next i2
Next i1
Return
1750
Select Case i45
Case 4
a9(14) = a(1):
a9(22) = a(5): a9(24) = a(2):
a9(30) = a(9): a9(32) = a(6): a9(34) = a(3):
a9(38) = a(13): a9(40) = a(10): a9(42) = a(7): a9(44) = a(4):
a9(48) = a(14): a9(50) = a(11): a9(52) = a(8):
a9(58) = a(15): a9(60) = a(12):
a9(68) = a(16):
Case 5
a9(5) = a(1):
a9(13) = a(6): a9(15) = a(2):
a9(21) = a(11): a9(23) = a(7): a9(25) = a(3):
a9(29) = a(16): a9(31) = a(12): a9(33) = a(8): a9(35) = a(4):
a9(37) = a(21): a9(39) = a(17): a9(41) = a(13): a9(43) = a(9): a9(45) = a(5):
a9(47) = a(22): a9(49) = a(18): a9(51) = a(14): a9(53) = a(10):
a9(57) = a(23): a9(59) = a(19): a9(61) = a(15):
a9(67) = a(24): a9(69) = a(20):
a9(77) = a(25):
End Select
Return
' Double Check Identical Numbers a9()
1800 fl1 = 1
For i1 = 1 To 81
a20 = a9(i1): If a20 = 0 Then GoTo 1810
For i2 = (1 + i1) To 81
If a20 = a9(i2) Then fl1 = 0: Return
Next i2
1810 Next i1
Return
' Complete Border
2000 fl1 = 1: Erase c9
'Complete Columns 4, 5, 6
For jj78 = m1 + 1 To m2 - 1 Step 2 'a9(78)
If b(a1(jj78)) = 0 Then b(a1(jj78)) = a1(jj78): c9(78) = a1(jj78) Else GoTo 2780
a9(78) = a1(jj78)
a9(4) = Pr3 - a9(78)
If a9(4) < a1(m1) Or a9(4) > a1(m2) Then GoTo 2040
If b1(a9(4)) = 0 Then GoTo 2040
If b(a9(4)) = 0 Then b(a9(4)) = a9(4): c9(4) = a9(4) Else GoTo 2040
a9(76) = s9 - a9(4) - a9(13) - a9(22) - a9(31) - a9(40) - a9(49) - a9(58) - a9(67)
If a9(76) < a1(m1) Or a9(76) > a1(m2) Then GoTo 2760
If b1(a9(76)) = 0 Then GoTo 2760
If CInt(a9(76) / 2) <> a9(76) / 2 Then GoTo 2760
If b(a9(76)) = 0 Then b(a9(76)) = a9(76): c9(76) = a9(76) Else GoTo 2760
a9(6) = Pr3 - a9(76)
If a9(6) < a1(m1) Or a9(6) > a1(m2) Then GoTo 2060
If b1(a9(6)) = 0 Then GoTo 2060
If b(a9(6)) = 0 Then b(a9(6)) = a9(6): c9(6) = a9(6) Else GoTo 2060
y1 = a9(4) Mod 10: y2 = a9(76) Mod 10: If y1 <> y2 Then GoTo 2065
y1 = a9(6) Mod 10: y2 = a9(78) Mod 10: If y1 <> y2 Then GoTo 2065
y1 = a9(4) + a9(6): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2065
y1 = a9(76) + a9(78): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2065
'Complete Rows 4, 5, 6
For jj36 = m1 + 1 To m2 - 1 Step 2 'a9(36)
If b(a1(jj36)) = 0 Then b(a1(jj36)) = a1(jj36): c9(36) = a1(jj36) Else GoTo 2360
a9(36) = a1(jj36)
a9(46) = Pr3 - a9(36)
If a9(46) < a1(m1) Or a9(46) > a1(m2) Then GoTo 2460
If b1(a9(46)) = 0 Then GoTo 2460
If b(a9(46)) = 0 Then b(a9(46)) = a9(46): c9(46) = a9(46) Else GoTo 2460
a9(54) = s9 - a9(46) - a9(47) - a9(48) - a9(49) - a9(50) - a9(51) - a9(52) - a9(53)
If a9(54) < a1(m1) Or a9(54) > a1(m2) Then GoTo 2540
If b1(a9(54)) = 0 Then GoTo 2540
If CInt(a9(54) / 2) <> a9(54) / 2 Then GoTo 2540
If b(a9(54)) = 0 Then b(a9(54)) = a9(54): c9(54) = a9(54) Else GoTo 2540
a9(28) = Pr3 - a9(54)
If a9(28) < a1(m1) Or a9(28) > a1(m2) Then GoTo 2280
If b1(a9(28)) = 0 Then GoTo 2280
If b(a9(28)) = 0 Then b(a9(28)) = a9(28): c9(28) = a9(28) Else GoTo 2280
y1 = a9(28) Mod 10: y2 = a9(46) Mod 10: If y1 <> y2 Then GoTo 2285
y1 = a9(36) Mod 10: y2 = a9(54) Mod 10: If y1 <> y2 Then GoTo 2285
y1 = a9(28) + a9(36): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2285
y1 = a9(46) + a9(54): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2285
'Complete Columns 3, 7
For jj79 = m1 + 1 To m2 - 1 Step 2 'a9(79)
If b(a1(jj79)) = 0 Then b(a1(jj79)) = a1(jj79): c9(79) = a1(jj79) Else GoTo 2790
a9(79) = a1(jj79)
a9(3) = Pr3 - a9(79)
If a9(3) < a1(m1) Or a9(3) > a1(m2) Then GoTo 2030
If b1(a9(3)) = 0 Then GoTo 2030
If b(a9(3)) = 0 Then b(a9(3)) = a9(3): c9(3) = a9(3) Else GoTo 2030
For jj70 = m1 + 1 To m2 - 1 Step 2 'a9(70)
If b(a1(jj70)) = 0 Then b(a1(jj70)) = a1(jj70): c9(70) = a1(jj70) Else GoTo 2700
a9(70) = a1(jj70)
a9(12) = Pr3 - a9(70)
If a9(12) < a1(m1) Or a9(12) > a1(m2) Then GoTo 2120
If b1(a9(12)) = 0 Then GoTo 2120
If b(a9(12)) = 0 Then b(a9(12)) = a9(12): c9(12) = a9(12) Else GoTo 2120
For jj16 = m1 + 1 To m2 - 1 Step 2 'a9(16)
If b(a1(jj16)) = 0 Then b(a1(jj16)) = a1(jj16): c9(16) = a1(jj16) Else GoTo 2160
a9(16) = a1(jj16)
a9(66) = Pr3 - a9(16)
If a9(66) < a1(m1) Or a9(66) > a1(m2) Then GoTo 2660
If b1(a9(66)) = 0 Then GoTo 2660
If b(a9(66)) = 0 Then b(a9(66)) = a9(66): c9(66) = a9(66) Else GoTo 2660
a9(7) = s9 - a9(16) - a9(25) - a9(34) - a9(43) - a9(52) - a9(61) - a9(70) - a9(79)
If a9(7) < a1(m1) Or a9(7) > a1(m2) Then GoTo 2070
If b1(a9(7)) = 0 Then GoTo 2070
If CInt(a9(7) / 2) <> a9(7) / 2 Then GoTo 2070
If b(a9(7)) = 0 Then b(a9(7)) = a9(7): c9(7) = a9(7) Else GoTo 2070
a9(75) = Pr3 - a9(7)
If a9(75) < a1(m1) Or a9(75) > a1(m2) Then GoTo 2750
If b1(a9(75)) = 0 Then GoTo 2750
If b(a9(75)) = 0 Then b(a9(75)) = a9(75): c9(75) = a9(75) Else GoTo 2750
y1 = a9(3) Mod 10: y2 = a9(75) Mod 10: If y1 <> y2 Then GoTo 2755
y1 = a9(7) Mod 10: y2 = a9(79) Mod 10: If y1 <> y2 Then GoTo 2755
y1 = a9(12) Mod 10: y2 = a9(66) Mod 10: If y1 <> y2 Then GoTo 2755
y1 = a9(16) Mod 10: y2 = a9(70) Mod 10: If y1 <> y2 Then GoTo 2755
y1 = a9(3) + a9(7): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2755
y1 = a9(12) + a9(16): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2755
y1 = a9(66) + a9(70): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2755
y1 = a9(75) + a9(79): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2755
'Complete Rows 3, 7
For jj27 = m1 + 1 To m2 - 1 Step 2 'a9(27)
If b(a1(jj27)) = 0 Then b(a1(jj27)) = a1(jj27): c9(27) = a1(jj27) Else GoTo 2270
a9(27) = a1(jj27)
a9(55) = Pr3 - a9(27)
If a9(55) < a1(m1) Or a9(55) > a1(m2) Then GoTo 2550
If b1(a9(55)) = 0 Then GoTo 2550
If b(a9(55)) = 0 Then b(a9(55)) = a9(55): c9(55) = a9(55) Else GoTo 2550
For jj26 = m1 + 1 To m2 - 1 Step 2 'a9(26)
If b(a1(jj26)) = 0 Then b(a1(jj26)) = a1(jj26): c9(26) = a1(jj26) Else GoTo 2260
a9(26) = a1(jj26)
a9(56) = Pr3 - a9(26)
If a9(56) < a1(m1) Or a9(56) > a1(m2) Then GoTo 2560
If b1(a9(56)) = 0 Then GoTo 2560
If b(a9(56)) = 0 Then b(a9(56)) = a9(56): c9(56) = a9(56) Else GoTo 2560
For jj20 = m1 + 1 To m2 - 1 Step 2 'a9(20)
If b(a1(jj20)) = 0 Then b(a1(jj20)) = a1(jj20): c9(20) = a1(jj20) Else GoTo 2200
a9(20) = a1(jj20)
a9(62) = Pr3 - a9(20)
If a9(62) < a1(m1) Or a9(62) > a1(m2) Then GoTo 2620
If b1(a9(62)) = 0 Then GoTo 2620
If b(a9(62)) = 0 Then b(a9(62)) = a9(62): c9(62) = a9(62) Else GoTo 2620
a9(19) = s9 - a9(20) - a9(21) - a9(22) - a9(23) - a9(24) - a9(25) - a9(26) - a9(27)
If a9(19) < a1(m1) Or a9(19) > a1(m2) Then GoTo 2190
If b1(a9(19)) = 0 Then GoTo 2190
If CInt(a9(19) / 2) <> a9(19) / 2 Then GoTo 2190
If b(a9(19)) = 0 Then b(a9(19)) = a9(19): c9(19) = a9(19) Else GoTo 2190
a9(63) = Pr3 - a9(19)
If a9(63) < a1(m1) Or a9(63) > a1(m2) Then GoTo 2630
If b1(a9(63)) = 0 Then GoTo 2630
If b(a9(63)) = 0 Then b(a9(63)) = a9(63): c9(63) = a9(63) Else GoTo 2630
y1 = a9(19) Mod 10: y2 = a9(55) Mod 10: If y1 <> y2 Then GoTo 2635
y1 = a9(20) Mod 10: y2 = a9(56) Mod 10: If y1 <> y2 Then GoTo 2635
y1 = a9(26) Mod 10: y2 = a9(62) Mod 10: If y1 <> y2 Then GoTo 2635
y1 = a9(27) Mod 10: y2 = a9(63) Mod 10: If y1 <> y2 Then GoTo 2635
y1 = a9(19) + a9(27): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2635
y1 = a9(20) + a9(26): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2635
y1 = a9(55) + a9(63): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2635
y1 = a9(56) + a9(62): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2635
For jj80 = m1 + 1 To m2 - 1 Step 2 'a9(80)
If b(a1(jj80)) = 0 Then b(a1(jj80)) = a1(jj80): c9(80) = a1(jj80) Else GoTo 2800
a9(80) = a1(jj80)
a9(2) = Pr3 - a9(80)
If a9(2) < a1(m1) Or a9(2) > a1(m2) Then GoTo 2020
If b1(a9(2)) = 0 Then GoTo 2020
If b(a9(2)) = 0 Then b(a9(2)) = a9(2): c9(2) = a9(2) Else GoTo 2020
For jj71 = m1 + 1 To m2 - 1 Step 2 'a9(71)
If b(a1(jj71)) = 0 Then b(a1(jj71)) = a1(jj71): c9(71) = a1(jj71) Else GoTo 2710
a9(71) = a1(jj71)
a9(11) = Pr3 - a9(71)
If a9(11) < a1(m1) Or a9(11) > a1(m2) Then GoTo 2110
If b1(a9(11)) = 0 Then GoTo 2110
If b(a9(11)) = 0 Then b(a9(11)) = a9(11): c9(11) = a9(11) Else GoTo 2110
For jj17 = m1 + 1 To m2 - 1 Step 2 'a9(17)
If b(a1(jj17)) = 0 Then b(a1(jj17)) = a1(jj17): c9(17) = a1(jj17) Else GoTo 2170
a9(17) = a1(jj17)
a9(65) = Pr3 - a9(17)
If a9(65) < a1(m1) Or a9(65) > a1(m2) Then GoTo 2650
If b1(a9(65)) = 0 Then GoTo 2650
If b(a9(65)) = 0 Then b(a9(65)) = a9(65): c9(65) = a9(65) Else GoTo 2650
a9(8) = s9 - a9(17) - a9(26) - a9(35) - a9(44) - a9(53) - a9(62) - a9(71) - a9(80)
If a9(8) < a1(m1) Or a9(8) > a1(m2) Then GoTo 2080
If b1(a9(8)) = 0 Then GoTo 2080
If CInt(a9(8) / 2) <> a9(8) / 2 Then GoTo 2080
If b(a9(8)) = 0 Then b(a9(8)) = a9(8): c9(8) = a9(8) Else GoTo 2080
a9(74) = Pr3 - a9(8)
If a9(74) < a1(m1) Or a9(74) > a1(m2) Then GoTo 2740
If b1(a9(74)) = 0 Then GoTo 2740
If b(a9(74)) = 0 Then b(a9(74)) = a9(74): c9(74) = a9(74) Else GoTo 2740
y1 = a9(2) Mod 10: y2 = a9(74) Mod 10: If y1 <> y2 Then GoTo 2745
y1 = a9(8) Mod 10: y2 = a9(80) Mod 10: If y1 <> y2 Then GoTo 2745
y1 = a9(11) Mod 10: y2 = a9(65) Mod 10: If y1 <> y2 Then GoTo 2745
y1 = a9(17) Mod 10: y2 = a9(71) Mod 10: If y1 <> y2 Then GoTo 2745
y1 = a9(2) + a9(8): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2745
y1 = a9(11) + a9(17): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2745
y1 = a9(65) + a9(71): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2745
y1 = a9(74) + a9(80): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2745
For jj81 = m1 + 1 To m2 - 1 Step 2 'a9(81)
If b(a1(jj81)) = 0 Then b(a1(jj81)) = a1(jj81): c9(81) = a1(jj81) Else GoTo 2810
a9(81) = a1(jj81)
a9(1) = Pr3 - a9(81)
If a9(1) < a1(m1) Or a9(1) > a1(m2) Then GoTo 2010
If b1(a9(1)) = 0 Then GoTo 2010
If b(a9(1)) = 0 Then b(a9(1)) = a9(1): c9(1) = a9(1) Else GoTo 2010
a9(73) = s9 - a9(74) - a9(75) - a9(76) - a9(77) - a9(78) - a9(79) - a9(80) - a9(81)
If a9(73) < a1(m1) Or a9(73) > a1(m2) Then GoTo 2730
If b1(a9(73)) = 0 Then GoTo 2730
If CInt(a9(73) / 2) <> a9(73) / 2 Then GoTo 2730
If b(a9(73)) = 0 Then b(a9(73)) = a9(73): c9(73) = a9(73) Else GoTo 2730
a9(9) = Pr3 - a9(73)
If a9(9) < a1(m1) Or a9(9) > a1(m2) Then GoTo 2090
If b1(a9(9)) = 0 Then GoTo 2090
If b(a9(9)) = 0 Then b(a9(9)) = a9(9): c9(9) = a9(9) Else GoTo 2090
a9(72) = (5*Pr3-a9(9)-a9(81)+a9(17)-a9(71)-a9(45)+a9(46)-a9(54)+a9(55)-a9(63)-a9(66)-a9(67)-a9(68)-a9(69)- a9(70))/2
If a9(72) < a1(m1) Or a9(72) > a1(m2) Then GoTo 2720
If b1(a9(72)) = 0 Then GoTo 2720
If CInt(a9(72) / 2) <> a9(72) / 2 Then GoTo 2720
If b(a9(72)) = 0 Then b(a9(72)) = a9(72): c9(72) = a9(72) Else GoTo 2720
a9(10) = Pr3 - a9(72)
If a9(10) < a1(m1) Or a9(10) > a1(m2) Then GoTo 2100
If b1(a9(10)) = 0 Then GoTo 2100
If b(a9(10)) = 0 Then b(a9(10)) = a9(10): c9(10) = a9(10) Else GoTo 2100
a9(18) = s9 - a9(9) - a9(27) - a9(36) - a9(45) - a9(54) - a9(63) - a9(72) - a9(81)
If a9(18) < a1(m1) Or a9(18) > a1(m2) Then GoTo 2180
If b1(a9(18)) = 0 Then GoTo 2180
If CInt(a9(18) / 2) <> a9(18) / 2 Then GoTo 2180
If b(a9(18)) = 0 Then b(a9(18)) = a9(18): c9(18) = a9(18) Else GoTo 2180
a9(64) = Pr3 - a9(18)
If a9(64) < a1(m1) Or a9(64) > a1(m2) Then GoTo 2640
If b1(a9(64)) = 0 Then GoTo 2640
If b(a9(64)) = 0 Then b(a9(64)) = a9(64): c9(64) = a9(64) Else GoTo 2640
y1 = a9(1) Mod 10: y2 = a9(73) Mod 10: If y1 <> y2 Then GoTo 2645
y1 = a9(9) Mod 10: y2 = a9(81) Mod 10: If y1 <> y2 Then GoTo 2645
y1 = a9(10) Mod 10: y2 = a9(64) Mod 10: If y1 <> y2 Then GoTo 2645
y1 = a9(18) Mod 10: y2 = a9(72) Mod 10: If y1 <> y2 Then GoTo 2645
y1 = a9(1) + a9(9): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2645
y1 = a9(10) + a9(18): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2645
y1 = a9(64) + a9(72): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2645
y1 = a9(73) + a9(81): y2 = y1 Mod 10: If y2 <> 2 Then GoTo 2645
' Option 1
GoSub 3000: Return
' Option 2
' GoSub 1800 'Double Check Identical Integers a9()
' If fl1 = 1 Then
' n9 = n9 + 1: GoSub 1650 'Print Composed Squares a9()
' End If
2645
b(c9(64)) = 0: c9(64) = 0
2640 b(c9(18)) = 0: c9(18) = 0
2180 b(c9(10)) = 0: c9(10) = 0
2100 b(c9(72)) = 0: c9(72) = 0
2720
b(c9(9)) = 0: c9(9) = 0
2090 b(c9(73)) = 0: c9(73) = 0
2730 b(c9(1)) = 0: c9(1) = 0
2010 b(c9(81)) = 0: c9(81) = 0
2810 Next jj81
2745
b(c9(74)) = 0: c9(74) = 0
2740 b(c9(8)) = 0: c9(8) = 0
2080 b(c9(65)) = 0: c9(65) = 0
2650 b(c9(17)) = 0: c9(17) = 0
2170 Next jj17
b(c9(11)) = 0: c9(11) = 0
2110 b(c9(71)) = 0: c9(71) = 0
2710 Next jj71
b(c9(2)) = 0: c9(2) = 0
2020 b(c9(80)) = 0: c9(80) = 0
2800 Next jj80
2635
b(c9(63)) = 0: c9(63) = 0
2630 b(c9(19)) = 0: c9(19) = 0
2190 b(c9(62)) = 0: c9(62) = 0
2620 b(c9(20)) = 0: c9(20) = 0
2200 Next jj20
b(c9(56)) = 0: c9(56) = 0
2560 b(c9(26)) = 0: c9(26) = 0
2260 Next jj26
b(c9(55)) = 0: c9(55) = 0
2550 b(c9(27)) = 0: c9(27) = 0
2270 Next jj27
2755
b(c9(75)) = 0: c9(75) = 0
2750 b(c9(7)) = 0: c9(7) = 0
2070 b(c9(66)) = 0: c9(66) = 0
2660 b(c9(16)) = 0: c9(16) = 0
2160 Next jj16
b(c9(12)) = 0: c9(12) = 0
2120 b(c9(70)) = 0: c9(70) = 0
2700 Next jj70
b(c9(3)) = 0: c9(3) = 0
2030 b(c9(79)) = 0: c9(79) = 0
2790 Next jj79
2285
b(c9(28)) = 0: c9(28) = 0
2280 b(c9(54)) = 0: c9(54) = 0
2540 b(c9(46)) = 0: c9(46) = 0
2460 b(c9(36)) = 0: c9(36) = 0
2360 Next jj36
2065
b(c9(6)) = 0: c9(6) = 0
2060 b(c9(76)) = 0: c9(76) = 0
2760 b(c9(4)) = 0: c9(4) = 0
2040 b(c9(78)) = 0: c9(78) = 0
2780 Next jj78
fl1 = 0
Return
' Reset Variables
3000
b(c9(1)) = 0: c9(1) = 0: b(c9(81)) = 0: c9(81) = 0: b(c9(12)) = 0: c9(12) = 0: b(c9(70)) = 0: c9(70) = 0:
b(c9(2)) = 0: c9(2) = 0: b(c9(80)) = 0: c9(80) = 0: b(c9(16)) = 0: c9(16) = 0: b(c9(66)) = 0: c9(66) = 0:
b(c9(3)) = 0: c9(3) = 0: b(c9(79)) = 0: c9(79) = 0: b(c9(17)) = 0: c9(17) = 0: b(c9(65)) = 0: c9(65) = 0:
b(c9(4)) = 0: c9(4) = 0: b(c9(78)) = 0: c9(78) = 0: b(c9(18)) = 0: c9(18) = 0: b(c9(64)) = 0: c9(64) = 0:
b(c9(6)) = 0: c9(6) = 0: b(c9(76)) = 0: c9(76) = 0: b(c9(19)) = 0: c9(19) = 0: b(c9(63)) = 0: c9(63) = 0:
b(c9(7)) = 0: c9(7) = 0: b(c9(75)) = 0: c9(75) = 0: b(c9(20)) = 0: c9(20) = 0: b(c9(62)) = 0: c9(62) = 0:
b(c9(8)) = 0: c9(8) = 0: b(c9(74)) = 0: c9(74) = 0: b(c9(26)) = 0: c9(26) = 0: b(c9(56)) = 0: c9(56) = 0:
b(c9(9)) = 0: c9(9) = 0: b(c9(73)) = 0: c9(73) = 0: b(c9(27)) = 0: c9(27) = 0: b(c9(55)) = 0: c9(55) = 0:
b(c9(10)) = 0: c9(10) = 0: b(c9(72)) = 0: c9(72) = 0: b(c9(28)) = 0: c9(28) = 0: b(c9(54)) = 0: c9(54) = 0:
b(c9(11)) = 0: c9(11) = 0: b(c9(71)) = 0: c9(71) = 0: b(c9(36)) = 0: c9(36) = 0: b(c9(46)) = 0: c9(46) = 0:
Return
End Sub
