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Write a program that takes an integer input, <tt>r</tt> representing
the radius of a sphere. Your program should compute and output <tt>z(x,y)</tt>
where z2 = r2 - x2 - y2 since a sphere is defined as
x2 + y2 + z2 = r2. 
Essentially, output the height (z-value) of a eigth of a sphere such as shown in the following image.
<img src="https://i.imgur.com/wosqVg4.png" height="150">
For x,y values outside the sphere (i.e. the distance x^2 + y^2 > r^2) do not output any value.

Output z(x,y) for each value of x,y ranging from (0,0) to (r,r) in a coordinate fashion:

<pre>
z(0,r) z(1,r) z(2,r) ... z(r,r)
z(0,r-1) z(1,r-1) z(2,r-1) ... z(r,r-1)
...
z(0,1) z(1,1) z(2,1) ... z(r,1)
z(0,0) z(1,0) z(2,0) ... z(r,0)
</pre>

Show each value with 2 decimal points and each column with a width of 6.

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Copied from problem cpp/nestedloops/rectangle (author: redekopp@usc.edu)
Copied from problem cpp/nestedloops/etox-range (author: redekopp@usc.edu)
Copied from problem cpp/for/sum-mult-2-5 (author: redekopp@usc.edu)
Copied from problem cpp/for/blastoff (author: redekopp@usc.edu)
Copied from problem cpp/while/blastoff (author: redekopp@usc.edu)
Copied from problem cpp/while/goldilocks (author: redekopp@usc.edu)
Copied from problem cpp/while/sum50 (author: redekopp@usc.edu)
Copied from problem cpp/conditionals/rps (author: redekopp@usc.edu)
Copied from problem cpp/conditionals/taxbrackets (author: redekopp@usc.edu)
Copied from problem cpp/conditionals/nestedec (author: redekopp@usc.edu)
Copied from problem cpp/conditionals/extracredit (author: redekopp@usc.edu)
Copied from problem cpp/control/flag (author: daveagp@gmail.com)

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Choices
json list of string, bool pairs
e.g. [["good", true], ["bad", false]]

Correct answer
Template / Reference solution

Template / Reference solution

#include <iostream>
#include <cmath>
#include <iomanip>
using namespace std;

int main()
{
int r;
cin >> r;
\[
for(int y = r; y >= 0; y--){
for(int x=0; x <= r; x++) {
int zsq = r*r - x*x - y*y;
if(zsq >= 0)
{
double z = sqrt(r*r - x*x - y*y);
cout << setprecision(2) << fixed << setw(6) << z;
}

}
cout << endl;
}
]\

}

Java test suite
See manual

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e.g. [{"stdin":"hi", "args":["4", "5"]}, {"stdin":"noargs"}]
to just run once with no input use [{}]

[
{"stdin": "5", "args": ""},
{"stdin": "12", "args": ""}
]

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Property	Value
Description html markup shown to student	<p>Write a program that takes an integer input, <tt>r</tt> representing the radius of a sphere. Your program should compute and output <tt>z(x,y)</tt> where <strong>z<sup>2</sup> = r<sup>2</sup> - x<sup>2</sup> - y<sup>2</sup></strong> since a sphere is defined as x<sup>2</sup> + y<sup>2</sup> + z<sup>2</sup> = r<sup>2</sup>. </p> <p>Essentially, output the height (z-value) of a eigth of a sphere such as shown in the following image.</p> <img src="https://i.imgur.com/wosqVg4.png" height="150"> <p>For x,y values outside the sphere (i.e. the distance x^2 + y^2 > r^2) do not output any value. <p>Output <strong>z(x,y)</strong> for each value of x,y ranging from (0,0) to (r,r) in a coordinate fashion:</p> <pre> z(0,r) z(1,r) z(2,r) ... z(r,r) z(0,r-1) z(1,r-1) z(2,r-1) ... z(r,r-1) ... z(0,1) z(1,1) z(2,1) ... z(r,1) z(0,0) z(1,0) z(2,0) ... z(r,0) </pre> <p>Show each value with 2 decimal points and each column with a width of 6.</p>
Epilogue html markup shown when solved	remove
Public permissions	remove
Remarks Comments, history, license, etc.	Copied from problem cpp/nestedloops/rectangle (author: redekopp@usc.edu) Copied from problem cpp/nestedloops/etox-range (author: redekopp@usc.edu) Copied from problem cpp/for/sum-mult-2-5 (author: redekopp@usc.edu) Copied from problem cpp/for/blastoff (author: redekopp@usc.edu) Copied from problem cpp/while/blastoff (author: redekopp@usc.edu) Copied from problem cpp/while/goldilocks (author: redekopp@usc.edu) Copied from problem cpp/while/sum50 (author: redekopp@usc.edu) Copied from problem cpp/conditionals/rps (author: redekopp@usc.edu) Copied from problem cpp/conditionals/taxbrackets (author: redekopp@usc.edu) Copied from problem cpp/conditionals/nestedec (author: redekopp@usc.edu) Copied from problem cpp/conditionals/extracredit (author: redekopp@usc.edu) Copied from problem cpp/control/flag (author: daveagp@gmail.com) remove
Engine
Choices json list of string, bool pairs e.g. `[["good", true], ["bad", false]]`
Correct answer
Template / Reference solution
Template / Reference solution	#include <iostream> #include <cmath> #include <iomanip> using namespace std; int main() { int r; cin >> r; \[ for(int y = r; y >= 0; y--){ for(int x=0; x <= r; x++) { int zsq = rr - xx - yy; if(zsq >= 0) { double z = sqrt(rr - xx - yy); cout << setprecision(2) << fixed << setw(6) << z; } } cout << endl; } ]\ }
Java test suite See manual
C++ test suite json list of stdin/args tests e.g. `[{"stdin":"hi", "args":["4", "5"]}, {"stdin":"noargs"}]` to just run once with no input use `[{}]`	[ {"stdin": "5", "args": ""}, {"stdin": "12", "args": ""} ]
C++ test suite See manual
Forbidden substrings json list of strings e.g. `["for","while"]`	remove
Solution visibility	remove
Java imports json list of importables e.g. `["java.util.*"]`	remove
Override Java classname else defaults to websheet name	remove
Dependent on other websheets? json list of websheet names in this folder e.g. `["DataStructure"]`	remove
Is example? i.e., just a demo	remove
Add compiler flag(s) json list of flags e.g. `["-Wno-unused-variable"]`	remove
Remove default compiler flag(s) json list of flags see default_cppflags e.g. `["-Wno-write-strings"]`	remove

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