How to resolve the algorithm Department numbers step by step in the AWK programming language

Published on 12 May 2024 09:40 PM
#Awk

How to resolve the algorithm Department numbers step by step in the AWK programming language

Table of Contents

Problem Statement

There is a highly organized city that has decided to assign a number to each of their departments:

Each department can have a number between   1   and   7   (inclusive). The three department numbers are to be unique (different from each other) and must add up to   12. The Chief of the Police doesn't like odd numbers and wants to have an even number for his department.

Write a computer program which outputs all valid combinations.

Possible output   (for the 1st and 14th solutions):

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Department numbers step by step in the AWK programming language

Source code in the awk programming language

# syntax: GAWK -f DEPARTMENT_NUMBERS.AWK
BEGIN {
    print(" # FD PD SD")
    for (fire=1; fire<=7; fire++) {
      for (police=1; police<=7; police++) {
        for (sanitation=1; sanitation<=7; sanitation++) {
          if (rules() ~ /^1+$/) {
            printf("%2d %2d %2d %2d\n",++count,fire,police,sanitation)
          }
        }
      }
    }
    exit(0)
}
function rules(  stmt1,stmt2,stmt3) {
    stmt1 = fire != police && fire != sanitation && police != sanitation
    stmt2 = fire + police + sanitation == 12
    stmt3 = police % 2 == 0
    return(stmt1 stmt2 stmt3)
}

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