' Generates order 5 Associated Magic Squares of Subtraction, Res5 = 13
' Tested with Office 365 under Windows 10
Sub SubtrSqr5b()
Dim a(25), b(25), c(25)
Dim b5(5), Res5(12), s(10)
y = MsgBox("Locked", vbCritical, "Routine SubtrSqr5b")
End
n2 = 0: n3 = 0: n9 = 0: k1 = 1: k2 = 1
m1 = 1: m2 = 25: s1 = 65: r5 = 13
' Generate data
Sheets("Klad1").Select
t1 = Timer
a(13) = 0.2 * s1: b(a(13)) = a(13)
For j25 = 1 To 9 ''m1 To m2 'a(25)
If b(j25) = 0 Then b(j25) = j25: c(25) = j25 Else GoTo 250
a(25) = j25
a(1) = 0.4 * s1 - a(25)
If a(1) < m1 Or a(1) > m2 Then GoTo 10
If a(1) < a(25) Then GoTo 10 ' Ess Diff
If b(a(1)) = 0 Then b(a(1)) = a(1): c(1) = a(1) Else GoTo 10
For j19 = j25 + 1 To m2 'a(19) Ess Diff
If b(j19) = 0 Then b(j19) = j19: c(19) = j19 Else GoTo 190
a(19) = j19
a(7) = 0.4 * s1 - a(19)
If a(7) < m1 Or a(7) > m2 Then GoTo 70
If a(7) < a(19) Then GoTo 70 ' Ess Diff
If b(a(7)) = 0 Then b(a(7)) = a(7): c(7) = a(7) Else GoTo 70
i10 = 11: GoSub 1000: If Res5(i10) <> r5 Then GoTo 65
For j21 = j25 + 1 To m2 'a(21) Ess Diff
If b(j21) = 0 Then b(j21) = j21: c(21) = j21 Else GoTo 210
a(21) = j21
a(5) = 0.4 * s1 - a(21)
If a(5) < m1 Or a(5) > m2 Then GoTo 50
If a(5) < a(25) Then GoTo 50 ' Ess Diff
If a(21) > a(5) Then GoTo 50 ' Ess Diff
If b(a(5)) = 0 Then b(a(5)) = a(5): c(5) = a(5) Else GoTo 50
For j17 = j25 + 1 To m2 'a(17) Ess Diff
If b(j17) = 0 Then b(j17) = j17: c(17) = j17 Else GoTo 170
a(17) = j17
a(9) = 2 * s1 / 5 - a(17)
If a(9) < m1 Or a(9) > m2 Then GoTo 90
If a(9) < a(25) Then GoTo 90 ' Ess Diff
If b(a(9)) = 0 Then b(a(9)) = a(9): c(9) = a(9) Else GoTo 90
i10 = 12: GoSub 1000: If Res5(i10) <> r5 Then GoTo 85
For j20 = m1 To m2 'a(20)
If b(j20) = 0 Then b(j20) = j20: c(20) = j20 Else GoTo 200
a(20) = j20
a(6) = 2 * s1 / 5 - a(20)
If a(6) < m1 Or a(6) > m2 Then GoTo 60
If b(a(6)) = 0 Then b(a(6)) = a(6): c(6) = a(6) Else GoTo 60
For j18 = m1 To m2 'a(18)
If b(j18) = 0 Then b(j18) = j18: c(18) = j18 Else GoTo 180
a(18) = j18
a(8) = 0.4 * s1 - a(18)
If a(8) < m1 Or a(8) > m2 Then GoTo 80
If b(a(8)) = 0 Then b(a(8)) = a(8): c(8) = a(8) Else GoTo 80
For j16 = m1 To m2 'a(16)
If b(j16) = 0 Then b(j16) = j16: c(16) = j16 Else GoTo 160
a(16) = j16
a(10) = 2 * s1 / 5 - a(16)
If a(10) < m1 Or a(10) > m2 Then GoTo 100
If b(a(10)) = 0 Then b(a(10)) = a(10): c(10) = a(10) Else GoTo 100
i10 = 4: GoSub 1000: If Res5(i10) <> r5 Then GoTo 95
For j15 = m1 To m2 'a(15)
If b(j15) = 0 Then b(j15) = j15: c(15) = j15 Else GoTo 150
a(15) = j15
a(11) = 2 * s1 / 5 - a(15)
If a(11) < m1 Or a(11) > m2 Then GoTo 110
If b(a(11)) = 0 Then b(a(11)) = a(11): c(11) = a(11) Else GoTo 110
For j14 = m1 To m2 'a(14)
If b(j14) = 0 Then b(j14) = j14: c(14) = j14 Else GoTo 140
a(14) = j14
a(12) = 2 * s1 / 5 - a(14)
If a(12) < m1 Or a(12) > m2 Then GoTo 120
If b(a(12)) = 0 Then b(a(12)) = a(12): c(12) = a(12) Else GoTo 120
i10 = 3: GoSub 1000: If Res5(i10) <> r5 Then GoTo 115
i10 = 6: GoSub 1000: If Res5(i10) <> r5 Then GoTo 115
For j24 = m1 To m2 'a(24)
If b(j24) = 0 Then b(j24) = j24: c(24) = j24 Else GoTo 240
a(24) = j24
a(2) = 0.4 * s1 - a(24)
If a(2) < m1 Or a(2) > m2 Then GoTo 20
If b(a(2)) = 0 Then b(a(2)) = a(2): c(2) = a(2) Else GoTo 20
For j22 = m1 To m2 'a(22)
If b(j22) = 0 Then b(j22) = j22: c(22) = j22 Else GoTo 220
a(22) = j22
a(4) = 0.4 * s1 - a(22)
If a(4) < m1 Or a(4) > m2 Then GoTo 40
If b(a(4)) = 0 Then b(a(4)) = a(4): c(4) = a(4) Else GoTo 40
i10 = 7: GoSub 1000: If Res5(i10) <> r5 Then GoTo 35
For j23 = m1 To m2 'a(23)
If b(j23) = 0 Then b(j23) = j23: c(23) = j23 Else GoTo 230
a(23) = j23
a(3) = 0.4 * s1 - a(23)
If a(3) < m1 Or a(3) > m2 Then GoTo 30
If b(a(3)) = 0 Then b(a(3)) = a(3): c(3) = a(3) Else GoTo 30
i10 = 8: GoSub 1000: If Res5(i10) <> r5 Then GoTo 25
i10 = 1: GoSub 1000: If Res5(i10) <> r5 Then GoTo 25
' Back Check
For i10 = 1 To 12
GoSub 1000: If Res5(i10) <> r5 Then GoTo 25
Next i10
' Check Pan Diagonals (Option)
'' GoSub 500: If fl1 = 0 Then GoTo 25
n9 = n9 + 1: ''GoSub 650: End 'Print Squares
Cells(1, 1).Value = n9 'Counting
25 b(c(3)) = 0: c(3) = 0
30 b(c(23)) = 0: c(23) = 0
230 Next j23
35 b(c(4)) = 0: c(4) = 0
40 b(c(22)) = 0: c(22) = 0
220 Next j22
15 b(c(2)) = 0: c(2) = 0
20 b(c(24)) = 0: c(24) = 0
240 Next j24
115 b(c(12)) = 0: c(12) = 0
120 b(c(14)) = 0: c(14) = 0
140 Next j14
105 b(c(11)) = 0: c(11) = 0
110 b(c(15)) = 0: c(15) = 0
150 Next j15
95 b(c(10)) = 0: c(10) = 0
100 b(c(16)) = 0: c(16) = 0
160 Next j16
b(c(8)) = 0: c(8) = 0
80 b(c(18)) = 0: c(18) = 0
180 Next j18
b(c(6)) = 0: c(6) = 0
60 b(c(20)) = 0: c(20) = 0
200 Next j20
85 b(c(9)) = 0: c(9) = 0
90 b(c(17)) = 0: c(17) = 0
170 Next j17
b(c(5)) = 0: c(5) = 0
50 b(c(21)) = 0: c(21) = 0
210 Next j21
65 b(c(7)) = 0: c(7) = 0
70 b(c(19)) = 0: c(19) = 0
190 Next j19
b(c(1)) = 0: c(1) = 0
10 b(c(25)) = 0: c(25) = 0
250 Next j25
t2 = Timer
t10 = Str(t2 - t1) + " sec., " + Str(n9) + " Solutions for sum" + Str(s1)
y = MsgBox(t10, 0, "Routine SubtrSqr5b")
End
' Check Pan Diagonals (Option)
500 fl1 = 1
s(1) = a(1) + a(7) + a(13) + a(19) + a(25)
s(2) = a(5) + a(9) + a(13) + a(17) + a(21)
s(3) = a(2) + a(8) + a(14) + a(20) + a(21)
s(4) = a(3) + a(9) + a(15) + a(16) + a(22)
s(5) = a(4) + a(10) + a(11) + a(17) + a(23)
s(6) = a(5) + a(6) + a(12) + a(18) + a(24)
s(7) = a(4) + a(8) + a(12) + a(16) + a(25)
s(8) = a(3) + a(7) + a(11) + a(20) + a(24)
s(9) = a(2) + a(6) + a(15) + a(19) + a(23)
s(10) = a(1) + a(10) + a(14) + a(18) + a(22)
For i1 = 1 To 10
If s(i1) <> s1 Then fl1 = 0: Return
Next i1
Return
' Print results (selected numbers)
640 For i1 = 1 To 25
Cells(n9, i1).Value = a(i1)
Next i1
Return
' Print results (squares)
650 n2 = n2 + 1
If n2 = 4 Then
n2 = 1: k1 = k1 + 6: k2 = 1
Else
If n9 > 1 Then k2 = k2 + 6
End If
Cells(k1, k2 + 1).Font.Color = -4165632
Cells(k1, k2 + 1).Value = n9
Cells(k1, k2 + 2).Value = r5
i3 = 0
For i1 = 1 To 5
For i2 = 1 To 5
i3 = i3 + 1
Cells(k1 + i1, k2 + i2).Value = a(i3)
Next i2
Next i1
Return
' determine Residuum line i10
1000
Select Case i10
' Rows
Case 1:
b5(1) = a(1): b5(2) = a(2): b5(3) = a(3): b5(4) = a(4): b5(5) = a(5):
GoSub 1200
Case 2:
b5(1) = a(6): b5(2) = a(7): b5(3) = a(8): b5(4) = a(9):: b5(5) = a(10):
GoSub 1200
Case 3:
b5(1) = a(11): b5(2) = a(12): b5(3) = a(13): b5(4) = a(14):: b5(5) = a(15):
GoSub 1200
Case 4:
b5(1) = a(16): b5(2) = a(17): b5(3) = a(18): b5(4) = a(19):: b5(5) = a(20):
GoSub 1200
Case 5:
b5(1) = a(21): b5(2) = a(22): b5(3) = a(23): b5(4) = a(24):: b5(5) = a(25):
GoSub 1200
' Columns
Case 6:
b5(1) = a(1): b5(2) = a(6): b5(3) = a(11): b5(4) = a(16):: b5(5) = a(21):
GoSub 1200
Case 7:
b5(1) = a(2): b5(2) = a(7): b5(3) = a(12): b5(4) = a(17):: b5(5) = a(22):
GoSub 1200
Case 8:
b5(1) = a(3): b5(2) = a(8): b5(3) = a(13): b5(4) = a(18):: b5(5) = a(23):
GoSub 1200
Case 9:
b5(1) = a(4): b5(2) = a(9): b5(3) = a(14): b5(4) = a(19):: b5(5) = a(24):
GoSub 1200
Case 10:
b5(1) = a(5): b5(2) = a(10): b5(3) = a(15): b5(4) = a(20):: b5(5) = a(25):
GoSub 1200
' Diagonals
Case 11:
b5(1) = a(1): b5(2) = a(7): b5(3) = a(13): b5(4) = a(19):: b5(5) = a(25):
GoSub 1200
Case 12:
b5(1) = a(5): b5(2) = a(9): b5(3) = a(13): b5(4) = a(17):: b5(5) = a(21):
GoSub 1200
End Select
Return
1200
For i2 = 1 To 4
For i1 = i2 To 5
If b5(i2) < b5(i1) Then
x = b5(i1)
b5(i1) = b5(i2)
b5(i2) = x
End If
Next i1
Next i2
Res5(i10) = b5(1) - b5(2) + b5(3) - b5(4) + b5(5)
Return
End Sub
