Functions and Fractals Recursive Trees Bash! HackerRank Solution

Hello Programmers, In this post, you will know how to solve the Functions and Fractals Recursive Trees Bash! HackerRank Solution. This problem is a part of the HackerRank Linux Shell Series.

Functions and Fractals Recursive Trees Bash! HackerRank Solution
Functions and Fractals Recursive Trees Bash! HackerRank Solutions

One more thing to add, don’t directly look for the solutions, first try to solve the problems of Hackerrank by yourself. If you find any difficulty after trying several times, then you can look for solutions.

Problem

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Creating a Fractal Tree from Y-shaped branches

This challenge involves the construction of trees, in the form of ASCII Art.

We have to deal with real world constraints, so we cannot keep repeating the pattern infinitely. So, we will provide you a number of iterations, and you need to generate the ASCII version of the Fractal Tree for only those many iterations (or, levels of recursion). A few samples are provided below.

Iteration #1
In the beginning, we simply create a Y. There are 63 rows and 100 columns in the grid below. The triangle is composed of underscores and ones as shown below. The vertical segment and the slanting segments are both 16 characters in length.

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Iteration #2

At the top of the left and right branches of the first Y, we now add a pair of Y-shapes, which are half the size of the original Y.

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Input Format

A single integer, N.

Constraints

  • N <= 5

Output Format

The Nth iteration of the Fractal Tree, as shown above. It should be a matrix of 63 rows and 100 columns. (i.e. 6300 printable characters) It should be composed entirely of underscores and ones, in a manner similar to the examples provided. Do not include any extra leading or trailing spaces.

Functions and Fractals Recursive Trees Bash! HackerRank Solutions

declare -A a
# credits to https://github.com/MaskRay/HackerRank/blob/master/shell/fractal-trees-all.sh
# d - depth
# l = length
# r = row
# c = column
f() {
    local d=$1 l=$2 r=$3 c=$4
    [[ $d -eq 0 ]] && return
    for ((i=l; i; i--)); do
        a[$((r-i)).$c]=1
    done
    ((r -= l))
    for ((i=l; i; i--)); do
        a[$((r-i)).$((c-i))]=1
        a[$((r-i)).$((c+i))]=1
    done
    f $((d-1)) $((l/2)) $((r-l)) $((c-l))
    f $((d-1)) $((l/2)) $((r-l)) $((c+l))
}
read n
f $n 16 63 49
for ((i=0; i<63; i++)); do
    for ((j=0; j<100; j++)); do
        if [[ ${a[$i.$j]} ]]; then
            printf 1
        else
            printf _
        fi
    done
    echo
done

Note: This problem (Functions and Fractals – Recursive Trees – Bash!) is generated by HackerRank but the Solution is Provided by  BrokenProgrammers. This tutorial is only for Educational and Learning purposes.

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