How to resolve the algorithm Zig-zag matrix step by step in the Lasso programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Zig-zag matrix step by step in the Lasso programming language
Table of Contents
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 Lasso programming language
Source code in the lasso programming language
var(
'square' = array
,'size' = integer( 5 )// for a 5 X 5 square
,'row' = array
,'x' = integer( 1 )
,'y' = integer( 1 )
,'counter' = integer( 1 )
);
// create place-holder matrix
loop( $size );
$row = array;
loop( $size );
$row->insert( 0 );
/loop;
$square->insert( $row );
/loop;
while( $counter < $size * $size );
// check downward diagonal
if(
$x > 1
&&
$y < $square->size
&&
$square->get( $y + 1 )->get( $x - 1 ) == 0
);
$x -= 1;
$y += 1;
// check upward diagonal
else(
$x < $square->size
&&
$y > 1
&&
$square->get( $y - 1 )->get( $x + 1 ) == 0
);
$x += 1;
$y -= 1;
// check right
else(
(
$y == 1
||
$y == $square->size
)
&&
$x < $square->size
&&
$square->get( $y )->get( $x + 1 ) == 0
);
$x += 1;
// down
else;
$y += 1;
/if;
$square->get( $y )->get( $x ) = loop_count;
$counter += 1;
/while;
$square;
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