Attached is a template of the code that needs to be filled in, the code is all one java file and the following methods need to be implemented using MathVector:

toString

add

magnitude

at

parse

random,and

filled

Please correctly show the required code with all methods implemented using the template provided

CODE to be filled in is provided below (please update and fill BOLDED parts in) using the methods specified above.

import java.util.Random;

import java.util.StringJoiner;

/** * A class representing a mathematical vector. */

class MathVector { private final int[] array;

/** * Private constructor. {@code array} is set to an empty array of the given size.

* * @param size the size of the array */

private MathVector(int size) { this.array = new int[size];

}

/** * Creates a MathVector instance backed by the given array.

* * @param source the array to use */

public MathVector(int[] source) {

this.array = source;

}

/** *

Static method to create a new MathVector instance with the specified {@code size}, with each element set to the specified {@code value}.

*

* @param size the number of elements in the new vector

* @param value the value to set each element to

* @return a new MathVector instance

*/ public static MathVector filled(int size, int value) {

var result = new MathVector(size);

for (int i = 0; i < size; i++) {

result.array[i] = value;

}

return result;

}

/** *

Static method to create a new MathVector instance with the specified {@code size}, with each element set to a random value in the range [min, max).

*

* @param size the number of elements in the new vector

* @return a new MathVector instance

*/

public static MathVector random(int size, int min, int max) {

var result = new MathVector(size);

var rng = new Random();

for (int i = 0; i < size; i++) {

result.array[i] = rng.nextInt(max - min + 1) + min;

}

return result;

}

/** * Static method to create a new MathVector instance from the String {@code s}, whose format should be "x1,x2,x3,...", where xi is the ith element.

*

* @param s the string to parse

* @return a new MathVector instance */

public static MathVector parse(String s) {

var split = s.split(",");

var result = new MathVector(split.length);

for (int i = 0; i < split.length; i++) {

result.array[i] = Integer.parseInt(split[i]);

}

return result;

}

/**

* Returns the element at the specified index.

*

* @param index the index of the element to return

* @return the element at the specified index

*/

public int at(int index) {

return array[index];

}

/**

* Returns the euclidean distance of this vector.

*

* @return the euclidean distance of this vector

*/

public double magnitude() {

double sum = 0;

for (var e : array) {

sum += Math.pow(e, 2);

}

return Math.sqrt(sum);

}

/**

* Returns a new MathVector instance that is the sum of this vector and the specified vector. (ie, each element is added together)

*

* @param other the other vector

* @return a new MathVector instance that is the sum of this vector and the specified vector

*/

public MathVector add(MathVector other) {

var result = new MathVector(array.length);

for (int i = 0; i < array.length; i++) {

result.array[i] = array[i] + other.array[i];

}

return result;

}

/**

* Returns a String representation of this vector. The String should be in the format "[1, 2, 3]"

*

* @return a String representation of this vector

* @apiNote **DO NOT** use the built-in {@code Arrays.toString()} method.

*/

@Override

public String toString() {

var sj = new StringJoiner(", ", "[", "]");

for (var e : array) {

sj.add(String.valueOf(e));

}

return sj.toString();

}

}