How to resolve the algorithm Zig-zag matrix step by step in the Rascal programming language

Published on 12 May 2024 09:40 PM
#Rascal

How to resolve the algorithm Zig-zag matrix step by step in the Rascal programming language

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Problem Statement

Produce a zig-zag array.

A   zig-zag   array is a square arrangement of the first   N2   natural numbers,   where the
numbers increase sequentially as you zig-zag along the array's   anti-diagonals. For a graphical representation, see   JPG zigzag   (JPG uses such arrays to encode images).

For example, given   5,   produce this array:

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Zig-zag matrix step by step in the Rascal programming language

Source code in the rascal programming language

0 (0,0), 1 (0,1), 3 (0,2)
2 (1,0), 4 (1,1), 6 (1,2)
5 (2,0), 7 (2,1), 8 (2,2)

 0 (0,0), 1 (0,1), 2 (1,0), 3 (0,2), 4 (1,1), 5 (2,0), 6 (1,2), 7 (2,1), 8 (2,2)

import util::Math;
import List;
import Set;
import IO;

alias cd = tuple[int,int];

public rel[cd, int] zz(int n){
	 indexorder = sort([| x <- [0..n], y <- [0..n]],
	 bool (cd a, cd b){
	 	if (a[0]+a[1] > b[0]+b[1])
	 		return false;
	 	elseif(a[0] < b[0])
	 		return false;
	 	else
	 		return true;
	 		;
	 	});
	 return { | z <- index(indexorder)};	 	
}

public void printzz(rel[cd, int] myarray){
    n = floor(sqrt(size(myarray)));
    for (x <- [0..n-1]){
        for (y <- [0..n-1]){
                print("]>\t");}
        println();}
}

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