How to resolve the algorithm 4-rings or 4-squares puzzle step by step in the Visual Basic .NET programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm 4-rings or 4-squares puzzle step by step in the Visual Basic .NET programming language
Table of Contents
Problem Statement
Replace a, b, c, d, e, f, and g with the decimal digits LOW ───► HIGH such that the sum of the letters inside of each of the four large squares add up to the same sum. Show all output here.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm 4-rings or 4-squares puzzle step by step in the Visual Basic .NET programming language
Source code in the visual programming language
Module Module1
Dim CA As Char() = "0123456789ABC".ToCharArray()
Sub FourSquare(lo As Integer, hi As Integer, uni As Boolean, sy As Char())
If sy IsNot Nothing Then Console.WriteLine("a b c d e f g" & vbLf & "-------------")
Dim r = Enumerable.Range(lo, hi - lo + 1).ToList(), u As New List(Of Integer),
t As Integer, cn As Integer = 0
For Each a In r
u.Add(a)
For Each b In r
If uni AndAlso u.Contains(b) Then Continue For
u.Add(b)
t = a + b
For Each c In r : If uni AndAlso u.Contains(c) Then Continue For
u.Add(c)
For d = a - c To a - c
If d < lo OrElse d > hi OrElse uni AndAlso u.Contains(d) OrElse
t <> b + c + d Then Continue For
u.Add(d)
For Each e In r
If uni AndAlso u.Contains(e) Then Continue For
u.Add(e)
For f = b + c - e To b + c - e
If f < lo OrElse f > hi OrElse uni AndAlso u.Contains(f) OrElse
t <> d + e + f Then Continue For
u.Add(f)
For g = t - f To t - f : If g < lo OrElse g > hi OrElse
uni AndAlso u.Contains(g) Then Continue For
cn += 1 : If sy IsNot Nothing Then _
Console.WriteLine("{0} {1} {2} {3} {4} {5} {6}",
sy(a), sy(b), sy(c), sy(d), sy(e), sy(f), sy(g))
Next : u.Remove(f) : Next : u.Remove(e) : Next : u.Remove(d)
Next : u.Remove(c) : Next : u.Remove(b) : Next : u.Remove(a)
Next : Console.WriteLine("{0} {1}unique solutions for [{2},{3}]{4}",
cn, If(uni, "", "non-"), lo, hi, vbLf)
End Sub
Sub main()
fourSquare(1, 7, True, CA)
fourSquare(3, 9, True, CA)
fourSquare(0, 9, False, Nothing)
fourSquare(5, 12, True, CA)
End Sub
End Module
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