' Generates Associated Pan Magic Squares, Split Rows an Columns
' Tested with Office 2007 under Windows 7
Sub Priem9g2()
Dim a1(1944), a(81), b1(43300), b(43300), c(81), a3(9)
y = MsgBox("Locked", vbCritical, "Routine Priem9g2")
End
n2 = 0: n9 = 0: k1 = 1: k2 = 1
' Generate Squares
Sheets("Klad1").Select
t1 = Timer
For j100 = 2 To 368
GoSub 2000 'Read Natural Numbers
For i1 = 1 To 9
a3(i1) = Sheets("Input3").Cells(j100, i1)
b(a3(i1)) = a3(i1)
Next i1
a(31) = a3(1): a(32) = a3(2): a(33) = a3(3):
a(40) = a3(4): a(41) = a3(5): a(42) = a3(6):
a(49) = a3(7): a(50) = a3(8): a(51) = a3(9):
For j81 = m1 To m2 'a(81)
If b(a1(j81)) = 0 Then b(a1(j81)) = a1(j81): c(81) = a1(j81) Else GoTo 810
a(81) = a1(j81)
a(61) = -s1 / 9 + a(81) + a(51)
If a(61) < a1(m1) Or a(61) > a1(m2) Then GoTo 610
If b1(a(61)) = 0 Then GoTo 610
If b(a(61)) = 0 Then b(a(61)) = a(61): c(61) = a(61) Else GoTo 610
a(21) = Pr9 - a(61): If b(a(21)) = 0 Then b(a(21)) = a(21): c(21) = a(21) Else GoTo 210
a(1) = Pr9 - a(81): If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
For j80 = m1 To m2 'a(80)
If b(a1(j80)) = 0 Then b(a1(j80)) = a1(j80): c(80) = a1(j80) Else GoTo 800
a(80) = a1(j80)
a(79) = s1 / 3 - a(80) - a(81)
If a(79) < a1(m1) Or a(79) > a1(m2) Then GoTo 790
If b1(a(79)) = 0 Then GoTo 790
If b(a(79)) = 0 Then b(a(79)) = a(79): c(79) = a(79) Else GoTo 790
a(72) = -2 * s1 / 9 + a(80) + a(50) + a(51)
If a(72) < a1(m1) Or a(72) > a1(m2) Then GoTo 720
If b1(a(72)) = 0 Then GoTo 720
If b(a(72)) = 0 Then b(a(72)) = a(72): c(72) = a(72) Else GoTo 720
a(71) = 4 * s1 / 9 - 2 * a(80) - a(50)
If a(71) < a1(m1) Or a(71) > a1(m2) Then GoTo 710
If b1(a(71)) = 0 Then GoTo 710
If b(a(71)) = 0 Then b(a(71)) = a(71): c(71) = a(71) Else GoTo 710
a(70) = s1 / 9 + a(80) - a(51)
If a(70) < a1(m1) Or a(70) > a1(m2) Then GoTo 700
If b1(a(70)) = 0 Then GoTo 700
If b(a(70)) = 0 Then b(a(70)) = a(70): c(70) = a(70) Else GoTo 700
a(63) = 5 * s1 / 9 - a(80) - a(81) - a(50) - a(51)
If a(63) < a1(m1) Or a(63) > a1(m2) Then GoTo 630
If b1(a(63)) = 0 Then GoTo 630
If b(a(63)) = 0 Then b(a(63)) = a(63): c(63) = a(63) Else GoTo 630
a(62) = -s1 / 9 + a(80) + a(50)
If a(62) < a1(m1) Or a(62) > a1(m2) Then GoTo 620
If b1(a(62)) = 0 Then GoTo 620
If b(a(62)) = 0 Then b(a(62)) = a(62): c(62) = a(62) Else GoTo 620
a(20) = Pr9 - a(62): If b(a(20)) = 0 Then b(a(20)) = a(20): c(20) = a(20) Else GoTo 200
a(19) = Pr9 - a(63): If b(a(19)) = 0 Then b(a(19)) = a(19): c(19) = a(19) Else GoTo 190
a(12) = Pr9 - a(70): If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
a(11) = Pr9 - a(71): If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
a(10) = Pr9 - a(72): If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
a(3) = Pr9 - a(79): If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
a(2) = Pr9 - a(80): If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
For j78 = m1 To m2 'a(78)
If b(a1(j78)) = 0 Then b(a1(j78)) = a1(j78): c(78) = a1(j78) Else GoTo 780
a(78) = a1(j78)
a(54) = -a(78) + a(81) + a(51)
If a(54) < a1(m1) Or a(54) > a1(m2) Then GoTo 540
If b1(a(54)) = 0 Then GoTo 540
If b(a(54)) = 0 Then b(a(54)) = a(54): c(54) = a(54) Else GoTo 540
a(28) = Pr9 - a(54): If b(a(28)) = 0 Then b(a(28)) = a(28): c(28) = a(28) Else GoTo 280
a(4) = Pr9 - a(78): If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
For j77 = m1 To m2 'a(77)
If b(a1(j77)) = 0 Then b(a1(j77)) = a1(j77): c(77) = a1(j77) Else GoTo 770
a(77) = a1(j77)
a(76) = s1 / 3 - a(77) - a(78)
If a(76) < a1(m1) Or a(76) > a1(m2) Then GoTo 760
If b1(a(76)) = 0 Then GoTo 760
If b(a(76)) = 0 Then b(a(76)) = a(76): c(76) = a(76) Else GoTo 760
a(53) = -a(77) + a(80) + a(50)
If a(53) < a1(m1) Or a(53) > a1(m2) Then GoTo 530
If b1(a(53)) = 0 Then GoTo 530
If b(a(53)) = 0 Then b(a(53)) = a(53): c(53) = a(53) Else GoTo 530
a(52) = s1 / 3 + a(77) + a(78) - a(80) - a(81) - a(50) - a(51)
If a(52) < a1(m1) Or a(52) > a1(m2) Then GoTo 520
If b1(a(52)) = 0 Then GoTo 520
If b(a(52)) = 0 Then b(a(52)) = a(52): c(52) = a(52) Else GoTo 520
a(30) = Pr9 - a(52): If b(a(30)) = 0 Then b(a(30)) = a(30): c(30) = a(30) Else GoTo 300
a(29) = Pr9 - a(53): If b(a(29)) = 0 Then b(a(29)) = a(29): c(29) = a(29) Else GoTo 290
a(6) = Pr9 - a(76): If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
a(5) = Pr9 - a(77): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j75 = m1 To m2 'a(75)
If b(a1(j75)) = 0 Then b(a1(j75)) = a1(j75): c(75) = a1(j75) Else GoTo 750
a(75) = a1(j75)
a(67) = s1 / 9 - a(75) + a(77) + 2 * a(78) - a(81) - a(51)
If a(67) < a1(m1) Or a(67) > a1(m2) Then GoTo 670
If b1(a(67)) = 0 Then GoTo 670
If b(a(67)) = 0 Then b(a(67)) = a(67): c(67) = a(67) Else GoTo 670
a(58) = -s1 / 9 + a(75) - a(78) + a(81) + a(51)
If a(58) < a1(m1) Or a(58) > a1(m2) Then GoTo 580
If b1(a(58)) = 0 Then GoTo 580
If b(a(58)) = 0 Then b(a(58)) = a(58): c(58) = a(58) Else GoTo 580
a(55) = -s1 / 9 + a(75) + a(51)
If a(55) < a1(m1) Or a(55) > a1(m2) Then GoTo 550
If b1(a(55)) = 0 Then GoTo 550
If b(a(55)) = 0 Then b(a(55)) = a(55): c(55) = a(55) Else GoTo 550
a(48) = a(75) - a(78) + a(51)
If a(48) < a1(m1) Or a(48) > a1(m2) Then GoTo 480
If b1(a(48)) = 0 Then GoTo 480
If b(a(48)) = 0 Then b(a(48)) = a(48): c(48) = a(48) Else GoTo 480
a(43) = -2 * s1 / 9 + a(75) - a(77) - 2 * a(78) + a(80) + a(81) + a(50) + 2 * a(51)
If a(43) < a1(m1) Or a(43) > a1(m2) Then GoTo 430
If b1(a(43)) = 0 Then GoTo 430
If b(a(43)) = 0 Then b(a(43)) = a(43): c(43) = a(43) Else GoTo 430
a(39) = Pr9 - a(43): If b(a(39)) = 0 Then b(a(39)) = a(39): c(39) = a(39) Else GoTo 390
a(34) = Pr9 - a(48): If b(a(34)) = 0 Then b(a(34)) = a(34): c(34) = a(34) Else GoTo 340
a(27) = Pr9 - a(55): If b(a(27)) = 0 Then b(a(27)) = a(27): c(27) = a(27) Else GoTo 270
a(24) = Pr9 - a(58): If b(a(24)) = 0 Then b(a(24)) = a(24): c(24) = a(24) Else GoTo 240
a(15) = Pr9 - a(67): If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
a(7) = Pr9 - a(75): If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
For j74 = m1 To m2 'a(74)
If b(a1(j74)) = 0 Then b(a1(j74)) = a1(j74): c(74) = a1(j74) Else GoTo 740
a(74) = a1(j74)
a(73) = s1 / 3 - a(74) - a(75)
If a(73) < a1(m1) Or a(73) > a1(m2) Then GoTo 730
If b1(a(73)) = 0 Then GoTo 730
If b(a(73)) = 0 Then b(a(73)) = a(73): c(73) = a(73) Else GoTo 730
a(69) = -2 * s1 / 9 + a(74) + a(75) - a(77) - 2 * a(78) + a(80) + a(81) + a(50) + a(51)
If a(69) < a1(m1) Or a(69) > a1(m2) Then GoTo 690
If b1(a(69)) = 0 Then GoTo 690
If b(a(69)) = 0 Then b(a(69)) = a(69): c(69) = a(69) Else GoTo 690
a(68) = 4 * s1 / 9 - a(74) - a(80) - a(50)
If a(68) < a1(m1) Or a(68) > a1(m2) Then GoTo 680
If b1(a(68)) = 0 Then GoTo 680
If b(a(68)) = 0 Then b(a(68)) = a(68): c(68) = a(68) Else GoTo 680
a(66) = -2 * s1 / 9 + a(74) + a(50) + a(51)
If a(66) < a1(m1) Or a(66) > a1(m2) Then GoTo 660
If b1(a(66)) = 0 Then GoTo 660
If b(a(66)) = 0 Then b(a(66)) = a(66): c(66) = a(66) Else GoTo 660
a(65) = 4 * s1 / 9 - 2 * a(74) - a(50)
If a(65) < a1(m1) Or a(65) > a1(m2) Then GoTo 650
If b1(a(65)) = 0 Then GoTo 650
If b(a(65)) = 0 Then b(a(65)) = a(65): c(65) = a(65) Else GoTo 650
a(64) = s1 / 9 + a(74) - a(51)
If a(64) < a1(m1) Or a(64) > a1(m2) Then GoTo 640
If b1(a(64)) = 0 Then GoTo 640
If b(a(64)) = 0 Then b(a(64)) = a(64): c(64) = a(64) Else GoTo 640
a(60) = 5 * s1 / 9 - a(74) - a(75) + a(77) + a(78) - a(80) - a(81) - a(50) - a(51)
If a(60) < a1(m1) Or a(60) > a1(m2) Then GoTo 600
If b1(a(60)) = 0 Then GoTo 600
If b(a(60)) = 0 Then b(a(60)) = a(60): c(60) = a(60) Else GoTo 600
a(59) = -s1 / 9 + a(74) - a(77) + a(80) + a(50)
If a(59) < a1(m1) Or a(59) > a1(m2) Then GoTo 590
If b1(a(59)) = 0 Then GoTo 590
If b(a(59)) = 0 Then b(a(59)) = a(59): c(59) = a(59) Else GoTo 590
a(57) = 5 * s1 / 9 - a(74) - a(75) - a(50) - a(51)
If a(57) < a1(m1) Or a(57) > a1(m2) Then GoTo 570
If b1(a(57)) = 0 Then GoTo 570
If b(a(57)) = 0 Then b(a(57)) = a(57): c(57) = a(57) Else GoTo 570
a(56) = -s1 / 9 + a(74) + a(50)
If a(56) < a1(m1) Or a(56) > a1(m2) Then GoTo 560
If b1(a(56)) = 0 Then GoTo 560
If b(a(56)) = 0 Then b(a(56)) = a(56): c(56) = a(56) Else GoTo 560
a(47) = a(74) - a(77) + a(50)
If a(47) < a1(m1) Or a(47) > a1(m2) Then GoTo 470
If b1(a(47)) = 0 Then GoTo 470
If b(a(47)) = 0 Then b(a(47)) = a(47): c(47) = a(47) Else GoTo 470
a(46) = s1 / 3 - a(74) - a(75) + a(77) + a(78) - a(50) - a(51)
If a(46) < a1(m1) Or a(46) > a1(m2) Then GoTo 460
If b1(a(46)) = 0 Then GoTo 460
If b(a(46)) = 0 Then b(a(46)) = a(46): c(46) = a(46) Else GoTo 460
a(45) = 4 * s1 / 9 - a(74) - a(75) + a(77) + 2 * a(78) - a(81) - a(50) - 2 * a(51)
If a(45) < a1(m1) Or a(45) > a1(m2) Then GoTo 450
If b1(a(45)) = 0 Then GoTo 450
If b(a(45)) = 0 Then b(a(45)) = a(45): c(45) = a(45) Else GoTo 450
a(44) = s1 / 9 + a(74) - a(80)
If a(44) < a1(m1) Or a(44) > a1(m2) Then GoTo 440
If b1(a(44)) = 0 Then GoTo 440
If b(a(44)) = 0 Then b(a(44)) = a(44): c(44) = a(44) Else GoTo 440
a(38) = Pr9 - a(44): If b(a(38)) = 0 Then b(a(38)) = a(38): c(38) = a(38) Else GoTo 380
a(37) = Pr9 - a(45): If b(a(37)) = 0 Then b(a(37)) = a(37): c(37) = a(37) Else GoTo 370
a(36) = Pr9 - a(46): If b(a(36)) = 0 Then b(a(36)) = a(36): c(36) = a(36) Else GoTo 360
a(35) = Pr9 - a(47): If b(a(35)) = 0 Then b(a(35)) = a(35): c(35) = a(35) Else GoTo 350
a(26) = Pr9 - a(56): If b(a(26)) = 0 Then b(a(26)) = a(26): c(26) = a(26) Else GoTo 260
a(25) = Pr9 - a(57): If b(a(25)) = 0 Then b(a(25)) = a(25): c(25) = a(25) Else GoTo 250
a(23) = Pr9 - a(59): If b(a(23)) = 0 Then b(a(23)) = a(23): c(23) = a(23) Else GoTo 230
a(22) = Pr9 - a(60): If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220
a(18) = Pr9 - a(64): If b(a(18)) = 0 Then b(a(18)) = a(18): c(18) = a(18) Else GoTo 180
a(17) = Pr9 - a(65): If b(a(17)) = 0 Then b(a(17)) = a(17): c(17) = a(17) Else GoTo 170
a(16) = Pr9 - a(66): If b(a(16)) = 0 Then b(a(16)) = a(16): c(16) = a(16) Else GoTo 160
a(14) = Pr9 - a(68): If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140
a(13) = Pr9 - a(69): If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
a(9) = Pr9 - a(73): If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
a(8) = Pr9 - a(74): If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
GoSub 1800 'Back Check Identical Numbers a9()
If fl1 = 0 Then GoTo 5
n9 = n9 + 1
GoSub 2650 'Print results (squares)
' GoSub 2645 'Print results (selected numbers
Erase b, c: GoTo 1000 'Print only first square
5
b(c(8)) = 0: c(8) = 0
80 b(c(9)) = 0: c(9) = 0
90 b(c(13)) = 0: c(13) = 0
130 b(c(14)) = 0: c(14) = 0
140 b(c(16)) = 0: c(16) = 0
160 b(c(17)) = 0: c(17) = 0
170 b(c(18)) = 0: c(18) = 0
180 b(c(22)) = 0: c(22) = 0
220 b(c(23)) = 0: c(23) = 0
230 b(c(25)) = 0: c(25) = 0
250 b(c(26)) = 0: c(26) = 0
260 b(c(35)) = 0: c(35) = 0
350 b(c(36)) = 0: c(36) = 0
360 b(c(37)) = 0: c(37) = 0
370 b(c(38)) = 0: c(38) = 0
380 b(c(44)) = 0: c(44) = 0
440 b(c(45)) = 0: c(45) = 0
450 b(c(46)) = 0: c(46) = 0
460 b(c(47)) = 0: c(47) = 0
470 b(c(56)) = 0: c(56) = 0
560 b(c(57)) = 0: c(57) = 0
570 b(c(59)) = 0: c(59) = 0
590 b(c(60)) = 0: c(60) = 0
600 b(c(64)) = 0: c(64) = 0
640 b(c(65)) = 0: c(65) = 0
650 b(c(66)) = 0: c(66) = 0
660 b(c(68)) = 0: c(68) = 0
680 b(c(69)) = 0: c(69) = 0
690 b(c(73)) = 0: c(73) = 0
730 b(c(74)) = 0: c(74) = 0
740 Next j74
b(c(7)) = 0: c(7) = 0
70 b(c(15)) = 0: c(15) = 0
150 b(c(24)) = 0: c(24) = 0
240 b(c(27)) = 0: c(27) = 0
270 b(c(34)) = 0: c(34) = 0
340 b(c(39)) = 0: c(39) = 0
390 b(c(43)) = 0: c(43) = 0
430 b(c(48)) = 0: c(48) = 0
480 b(c(55)) = 0: c(55) = 0
550 b(c(58)) = 0: c(58) = 0
580 b(c(67)) = 0: c(67) = 0
670 b(c(75)) = 0: c(75) = 0
750 Next j75
b(c(5)) = 0: c(5) = 0
50 b(c(6)) = 0: c(6) = 0
60 b(c(29)) = 0: c(29) = 0
290 b(c(30)) = 0: c(30) = 0
300 b(c(52)) = 0: c(52) = 0
520 b(c(53)) = 0: c(53) = 0
530 b(c(76)) = 0: c(76) = 0
760 b(c(77)) = 0: c(77) = 0
770 Next j77
b(c(4)) = 0: c(4) = 0
40 b(c(28)) = 0: c(28) = 0
280 b(c(54)) = 0: c(54) = 0
540 b(c(78)) = 0: c(78) = 0
780 Next j78
b(c(2)) = 0: c(2) = 0
20 b(c(3)) = 0: c(3) = 0
30 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(19)) = 0: c(19) = 0
190 b(c(20)) = 0: c(20) = 0
200 b(c(62)) = 0: c(62) = 0
620 b(c(63)) = 0: c(63) = 0
630 b(c(70)) = 0: c(70) = 0
700 b(c(71)) = 0: c(71) = 0
710 b(c(72)) = 0: c(72) = 0
720 b(c(79)) = 0: c(79) = 0
790 b(c(80)) = 0: c(80) = 0
800 Next j80
b(c(1)) = 0: c(1) = 0
10 b(c(21)) = 0: c(21) = 0
210 b(c(61)) = 0: c(61) = 0
610 b(c(81)) = 0: c(81) = 0
810 Next j81
Erase b, c
1000 Next j100
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine Priem9g2")
End
' Double Check Identical Numbers a()
1800 fl1 = 1
For j1 = 1 To 81
a20 = a(j1): If a20 = 0 Then GoTo 1810
For j2 = (1 + j1) To 81
If a20 = a(j2) Then fl1 = 0: Return
Next j2
1810 Next j1
Return
' Read Natural Numbers
2000 Pr9 = 82: Cntr9 = 41: s1 = 369: nVar = 81
m1 = 1: m2 = nVar:
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
' Print results (selected numbers)
2645 For i1 = 1 To 81
Cells(n9, i1).Value = a(i1)
Next i1
Return
' Print results (squares)
2650 n2 = n2 + 1
If n2 = 5 Then
n2 = 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 = CStr(n9)
i3 = 0
For i1 = 1 To 9
For i2 = 1 To 9
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Next i2
Next i1
Return
End Sub
