' Generates Prime Number Diamond Inlays of order 5
' Suitable for Prime Number Concentric Magic Squares of order 9
' Tested with Office 365 under Windows 10
Sub Diamond5()
Dim a1(2448), a(81), b1(43300), b(43300), c(81)
y = MsgBox("Locked", vbCritical, "Routine Diamond5")
End
Sheets("Klad1").Select
n5 = 0: n9 = 0: k1 = 1: k2 = 1
Sheets("Klad1").Select
t1 = Timer
For j101 = 2 To 22
j100 = Sheets("Klad1").Cells(j101, 34).Value 'ref. Attachment 14.7.3
' Define variables
p2 = Sheets("Pairs7").Cells(j100, 1).Value 'Pair Sum
s1 = 9 * p2 / 2
s5 = 5 * p2 / 2
nVar1 = Sheets("Pairs7").Cells(j100, 9).Value
For i1 = 1 To nVar1
a1(i1) = Sheets("Pairs7").Cells(j100, 9 + i1).Value
Next i1
m1 = 1: m2 = nVar1
If a1(1) = 1 Then m1 = 2: m2 = m2 - 1
Erase b1
For i1 = m1 To m2
b1(a1(i1)) = a1(i1)
Next i1
' Generate Squares
a(41) = p2 / 2: b(a(41)) = a(41)
For j77 = m2 To m1 Step -1
If b1(a1(j77)) = 0 Then GoTo 770
If b(a1(j77)) = 0 Then b(a1(j77)) = a1(j77): c(77) = a1(j77) Else GoTo 770
a(77) = a1(j77)
a(5) = p2 - a(77): If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j69 = m1 To m2
If b1(a1(j69)) = 0 Then GoTo 690
If b(a1(j69)) = 0 Then b(a1(j69)) = a1(j69): c(69) = a1(j69) Else GoTo 690
a(69) = a1(j69)
a(15) = p2 - a(69): If b(a(15)) = 0 Then b(a(15)) = a(15): c(15) = a(15) Else GoTo 150
For j68 = m2 To m1 Step -1
If b1(a1(j68)) = 0 Then GoTo 680
If b(a1(j68)) = 0 Then b(a1(j68)) = a1(j68): c(68) = a1(j68) Else GoTo 680
a(68) = a1(j68)
a(14) = p2 - a(68): If b(a(14)) = 0 Then b(a(14)) = a(14): c(14) = a(14) Else GoTo 140
For j67 = m1 To m2
If b1(a1(j67)) = 0 Then GoTo 670
If b(a1(j67)) = 0 Then b(a1(j67)) = a1(j67): c(67) = a1(j67) Else GoTo 670
a(67) = a1(j67)
a(13) = p2 - a(67): If b(a(13)) = 0 Then b(a(13)) = a(13): c(13) = a(13) Else GoTo 130
For j61 = m1 To m2
If b1(a1(j61)) = 0 Then GoTo 610
If b(a1(j61)) = 0 Then b(a1(j61)) = a1(j61): c(61) = a1(j61) Else GoTo 610
a(61) = a1(j61)
a(21) = p2 - a(61): If b(a(21)) = 0 Then b(a(21)) = a(21): c(21) = a(21) Else GoTo 210
a(57) = 6 * s1 / 9 - a(61) - a(67) - a(69) - 2 * a(77)
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(25) = p2 - a(57): If b(a(25)) = 0 Then b(a(25)) = a(25): c(25) = a(25) Else GoTo 250
For j60 = m1 To m2
If b1(a1(j60)) = 0 Then GoTo 600
If b(a1(j60)) = 0 Then b(a1(j60)) = a1(j60): c(60) = a1(j60) Else GoTo 600
a(60) = a1(j60)
a(24) = p2 - a(60): If b(a(24)) = 0 Then b(a(24)) = a(24): c(24) = a(24) Else GoTo 240
For j59 = m1 To m2
If b1(a1(j59)) = 0 Then GoTo 590
If b(a1(j59)) = 0 Then b(a1(j59)) = a1(j59): c(59) = a1(j59) Else GoTo 590
a(59) = a1(j59)
a(23) = p2 - a(59): If b(a(23)) = 0 Then b(a(23)) = a(23): c(23) = a(23) Else GoTo 230
a(58) = -s1 / 9 - a(59) - a(60) + a(67) + a(69) + 2 * a(77)
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(22) = p2 - a(58): If b(a(22)) = 0 Then b(a(22)) = a(22): c(22) = a(22) Else GoTo 220
a(50) = -3 * s1 / 9 + 2 * a(59) + a(67) + a(69)
If a(50) < a1(m1) Or a(50) > a1(m2) Then GoTo 500:
If b1(a(50)) = 0 Then GoTo 500
If b(a(50)) = 0 Then b(a(50)) = a(50): c(50) = a(50) Else GoTo 500
a(32) = p2 - a(50): If b(a(32)) = 0 Then b(a(32)) = a(32): c(32) = a(32) Else GoTo 320
For j53 = m1 To m2
If b1(a1(j53)) = 0 Then GoTo 530
If b(a1(j53)) = 0 Then b(a1(j53)) = a1(j53): c(53) = a1(j53) Else GoTo 530
a(53) = a1(j53)
a(47) = p2 - a(53): If b(a(47)) = 0 Then b(a(47)) = a(47): c(47) = a(47) Else GoTo 470
a(45) = 5 * s1 / 9 - a(53) - a(61) - a(69) - a(77)
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(37) = p2 - a(45): If b(a(37)) = 0 Then b(a(37)) = a(37): c(37) = a(37) Else GoTo 370
a(35) = a(53) - a(67) + a(69)
If a(35) < a1(m1) Or a(35) > a1(m2) Then GoTo 350:
If b1(a(35)) = 0 Then GoTo 350
If b(a(35)) = 0 Then b(a(35)) = a(35): c(35) = a(35) Else GoTo 350
a(29) = p2 - a(35): If b(a(29)) = 0 Then b(a(29)) = a(29): c(29) = a(29) Else GoTo 290
For j52 = m1 To m2
If b1(a1(j52)) = 0 Then GoTo 520
If b(a1(j52)) = 0 Then b(a1(j52)) = a1(j52): c(52) = a1(j52) Else GoTo 520
a(52) = a1(j52)
a(48) = p2 - a(52): If b(a(48)) = 0 Then b(a(48)) = a(48): c(48) = a(48) Else GoTo 480
For j51 = m1 To m2
If b1(a1(j51)) = 0 Then GoTo 510
If b(a1(j51)) = 0 Then b(a1(j51)) = a1(j51): c(51) = a1(j51) Else GoTo 510
a(51) = a1(j51)
a(31) = p2 - a(51): If b(a(31)) = 0 Then b(a(31)) = a(31): c(31) = a(31) Else GoTo 310
a(49) = 6 * s1 / 9 - a(51) - 2 * a(59) - a(67) - a(69)
If a(49) < a1(m1) Or a(49) > a1(m2) Then GoTo 490:
If b1(a(49)) = 0 Then GoTo 490
If b(a(49)) = 0 Then b(a(49)) = a(49): c(49) = a(49) Else GoTo 490
a(33) = p2 - a(49): If b(a(33)) = 0 Then b(a(33)) = a(33): c(33) = a(33) Else GoTo 330
a(43) = 5 * s1 / 9 - a(51) - a(53) - a(59) - a(69)
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) = p2 - a(43): If b(a(39)) = 0 Then b(a(39)) = a(39): c(39) = a(39) Else GoTo 390
a(42) = 7 * s1 / 9 - 2 * a(51) - 2 * a(59) - a(67) - a(69)
If a(42) < a1(m1) Or a(42) > a1(m2) Then GoTo 420:
If b1(a(42)) = 0 Then GoTo 420
If b(a(42)) = 0 Then b(a(42)) = a(42): c(42) = a(42) Else GoTo 420
a(40) = p2 - a(42): If b(a(40)) = 0 Then b(a(40)) = a(40): c(40) = a(40) Else GoTo 400
a(34) = 4 * s1 / 9 + a(51) - a(52) + a(53) + a(59) - 2 * a(61) - a(67) - 2 * a(77)
If a(34) < a1(m1) Or a(34) > a1(m2) Then GoTo 340:
If b1(a(34)) = 0 Then GoTo 340
If b(a(34)) = 0 Then b(a(34)) = a(34): c(34) = a(34) Else GoTo 340
a(30) = p2 - a(34): If b(a(30)) = 0 Then b(a(30)) = a(30): c(30) = a(30) Else GoTo 300
For j44 = m1 To m2
If b1(a1(j44)) = 0 Then GoTo 440
If b(a1(j44)) = 0 Then b(a1(j44)) = a1(j44): c(44) = a1(j44) Else GoTo 440
a(44) = a1(j44)
a(38) = p2 - a(44): If b(a(38)) = 0 Then b(a(38)) = a(38): c(38) = a(38) Else GoTo 380
' Exclude solutions with identical numbers
GoSub 1800: 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
5
b(c(38)) = 0: c(38) = 0
380 b(c(44)) = 0: c(44) = 0
440 Next j44
b(c(30)) = 0: c(30) = 0
300 b(c(34)) = 0: c(34) = 0
340 b(c(40)) = 0: c(40) = 0
400 b(c(42)) = 0: c(42) = 0
420 b(c(39)) = 0: c(39) = 0
390 b(c(43)) = 0: c(43) = 0
430 b(c(33)) = 0: c(33) = 0
330 b(c(49)) = 0: c(49) = 0
490 b(c(31)) = 0: c(31) = 0
310 b(c(51)) = 0: c(51) = 0
510 Next j51
b(c(48)) = 0: c(48) = 0
480 b(c(52)) = 0: c(52) = 0
520 Next j52
b(c(29)) = 0: c(29) = 0
290 b(c(35)) = 0: c(35) = 0
350 b(c(37)) = 0: c(37) = 0
370 b(c(45)) = 0: c(45) = 0
450 b(c(47)) = 0: c(47) = 0
470 b(c(53)) = 0: c(53) = 0
530 Next j53
b(c(32)) = 0: c(32) = 0
320 b(c(50)) = 0: c(50) = 0
500 b(c(22)) = 0: c(22) = 0
220 b(c(58)) = 0: c(58) = 0
580 b(c(23)) = 0: c(23) = 0
230 b(c(59)) = 0: c(59) = 0
590 Next j59
b(c(24)) = 0: c(24) = 0
240 b(c(60)) = 0: c(60) = 0
600 Next j60
b(c(25)) = 0: c(25) = 0
250 b(c(57)) = 0: c(57) = 0
570 b(c(21)) = 0: c(21) = 0
210 b(c(61)) = 0: c(61) = 0
610 Next j61
b(c(13)) = 0: c(13) = 0
130 b(c(67)) = 0: c(67) = 0
670 Next j67
b(c(14)) = 0: c(14) = 0
140 b(c(68)) = 0: c(68) = 0
680 Next j68
b(c(15)) = 0: c(15) = 0
150 b(c(69)) = 0: c(69) = 0
690 Next j69
b(c(5)) = 0: c(5) = 0
50 b(c(77)) = 0: c(77) = 0
770 Next j77
1000 Next j101
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions"
y = MsgBox(t10, 0, "Routine Diamond5")
End
' Double Check Identical Numbers a()
1800 fl1 = 1
For i1 = 1 To 81
a20 = a(i1): If a20 = 0 Then GoTo 1810
For i2 = (1 + i1) To 81
If a20 = a(i2) Then fl1 = 0: Return
Next i2
1810 Next i1
Return
' Print results (selected numbers)
2645 For i1 = 1 To 81
Cells(n9, i1).Value = a(i1)
Next i1
Cells(n9, 82).Value = s1
Cells(n9, 83).Value = j100
Return
' Print results (squares)
2650 n2 = n2 + 1
If n2 = 4 Then
n2 = 1: k1 = k1 + 10: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 10
End If
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = "Mc5 = " + CStr(s5)
Cells(1, 1).Value = 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
