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

Published on 12 May 2024 09:40 PM
#Stata

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

Source code in the stata programming language

perm 7
rename * (a b c d e f g)
list if a==c+d & b+c==e+f & d+e==g, noobs sep(50)

  +---------------------------+
  | a   b   c   d   e   f   g |
  |---------------------------|
  | 3   7   2   1   5   4   6 |
  | 4   5   3   1   6   2   7 |
  | 4   7   1   3   2   6   5 |
  | 5   6   2   3   1   7   4 |
  | 6   4   1   5   2   3   7 |
  | 6   4   5   1   2   7   3 |
  | 7   2   6   1   3   5   4 |
  | 7   3   2   5   1   4   6 |
  +---------------------------+

foreach var of varlist _all {
	replace `var'=`var'+2
}
list if a==c+d & b+c==e+f & d+e==g, noobs sep(50)

  +---------------------------+
  | a   b   c   d   e   f   g |
  |---------------------------|
  | 7   8   3   4   5   6   9 |
  | 8   7   3   5   4   6   9 |
  | 9   6   4   5   3   7   8 |
  | 9   6   5   4   3   8   7 |
  +---------------------------+

clear
set obs 10
gen b=_n-1
gen q=1
save temp, replace
rename b c
joinby q using temp
rename b d
joinby q using temp
rename b e
gen a=c+d
gen g=d+e
drop if a>9 | g>9
joinby q using temp
gen f=b+c-e
drop if f<0 | f>9
drop q
order a b c d e f g
erase temp.dta
count
  2,860

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