$2.$ Egyptian Pyramid $(25$ points$).$ Let$$s build a pyramid with the help of a $2-$dimensional $(2$D$)$ array.

Long ago, some advanced civilizations such as the Egyptians modeled their architecture to be of pyramid form: $3-$Dimensional polyhedra with some polygon base and triangle$-$shaped flat sides meeting to a point at the top. For the sake of this assignment, we will be considering $2-$D pyramids, which take the form of triangles. You will be tasked with understanding and implementing $2$D array$($s$)$ to create a $2-$Dimensional pyramid of your own.

Overview

Oh no$!$ During Professor Centeno$$s $2$D Arrays lecture, a mysterious portal opened up right into the projected picture of the Egyptian pyramids, sucking all the CS$111$ students into another time dimension. It looks like the students are trapped in $2580$ B$.$C$.$ After some conversing $($let$$s assume due to advanced language translation technology that students happened to bring$),$ they discover that the Egyptians need assistance in building their pyramids. Since Professor Centeno did not time travel with the CS$111$ students, it$$s now up to them to help these Egyptians out.

The students need to code a program that reads two command line arguments from the terminal representing:

the overall size of their figure

the number of bricks provided$-$to build a pyramid.

Programming

The students are expected to use a $2$D array to construct the pyramid. The pyramid is constructed using the characters $$X$($bricks$)$ and $=($no brick$).$

Bricks, denoted by the symbol $$X$,$ are to be placed beginning at the bottom left and continue until either $1)$ there are no more bricks or $2)$ the pyramid is complete.

The surrounding area is to be filled with the symbol $=.$

Once the $2$D array $($pyramid$)$ is constructed print:

the $2$D array starting at row and column zero $[0,0].$

the number of bricks remaining, in the format listed below.

Note: Keep in mind that the output is expected be PRINTED into the terminal.$$

Programming

Example $1$: Executing the command

$$ javac EgyptianPyramid.java

$$java EgyptianPyramid $31$

produces a $332$D grid with $1$ initial brick to construct the pyramid.

The output looks like this $($Note the placement of the brick is on the left side of the last row$)$:

Example $2$: Executing the command

$$javac EgyptianPyramid.java

$$java EgyptianPyramid $45$

produces a $442$D grid with $5$ initial bricks to construct the pyramid.

The output looks like this:

Example $3$: Executing the command

$$javac EgyptianPyramid.java

$$java EgyptianPyramid $516$

produces a $552$D grid with $16$ initial bricks to construct the pyramid. The output looks like this:

Problem by Kushi Sharma and Ayla Muminovic