How to resolve the algorithm 4-rings or 4-squares puzzle step by step in the AutoHotkey 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 AutoHotkey 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 AutoHotkey programming language

Source code in the autohotkey programming language

rotina(min,max,unique)
{
global totalcount := 0
global totalunique := 0
global result := "min=" min " max=" max " unique=" unique "`n`n"
max := max - min + 1
loop %max%
{
	a := min + A_Index - 1
	loop %max%
	{
		b := min + A_Index - 1
		loop %max%
		{
			c := min + A_Index - 1
			loop %max%
			{
				d := min + A_Index - 1
				loop %max%
				{
					e := min + A_Index - 1
					loop %max%
					{
						f := min + A_Index - 1
						loop %max%
						{
							g := min + A_Index - 1
							sum := a+b
							if (b+c+d = sum and d+e+f = sum and f+g = sum)
							{
								totalcount += 1
								if (unique=0)
									continue
								if not (a=b or a=c or a=d or a=e or a=f or a=g or b=c or b=d or b=e or b=f or b=g or c=d or c=e or c=f or c=g or d=e or d=f or d=g or e=f or e=g or f=g)
									{
										result .= a " " b " " c " " d " " e " " f " " g "`n"
										totalunique += 1
									}	
							}
						}
					}
				}
			}
		}
	}
}
}
rotina(1,7,1)
MsgBox %result% `ntotal unique = %totalunique% `ntotalcount = %totalcount%
rotina(3,9,1)
MsgBox %result% `ntotal unique = %totalunique% `ntotalcount = %totalcount%
rotina(0,9,0)
MsgBox %result% `ntotalcount = %totalcount%
ExitApp
return


  

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