File RegionAveragejava shown above contains an incomplete pr

File RegionAverage.java (shown above) contains an incomplete program. The goal of the program is to compute the average of values in specific regions of a matrix. Complete that program, by defining a regionAverage function, that satisfies the following specs:

Function regionAverage takes five arguments, called A, top, bottom, left, right. A is a 2D array of double numbers. Arguments top, bottom, left, right are all integers.

The function should return the average of values in all positions (i, j) of A such that top <= i <= bottom and left <= j <= right.

IMPORTANT: You are NOT allowed to modify in any way the main function. You are free to define and use auxiliary functions.

The complete program should produce this output:

Solution

Code:

public class Main{
public static void printDoubleMatrix(String name, double[][] a) {
System.out.printf(\"%s:\ \", name);
for (int i = 0; i < a.length; i++){
for (int j = 0; j < a[i].length; j++){
System.out.printf(\"%7.1f\", a[i][j]);
}
System.out.printf(\"\ \");
}
System.out.printf(\"\ \");
}
  
public static double regionAverage(double[][] a, int top, int bottom, int left, int right){
   double sum = 0;
   int n = 0;
   for(int i=top; i <= bottom; i++){
       for(int j = left; j <= right; j++){
           sum = sum + a[i][j];
           n = n+1;
       }
      
   }
   return sum/(double)n;
}
  
public static void main(String[] args){
double[][] a = { {3.2, 2.1, 5.3},
{8.0, 4.9, 5.7},
{18.0, 14.9, 15.7},
{28.0, 24.9, 25.7},
{38.0, 34.9, 35.7} };
  
printDoubleMatrix(\"a\", a);
double result = regionAverage(a, 0, 3, 1, 2);
System.out.printf(\"regionAverage(a, 0, 3, 1, 2) returned %.2f.\ \", result);
result = regionAverage(a, 2, 4, 0, 2);
System.out.printf(\"regionAverage(a, 2, 4, 0, 2) returned %.2f.\ \", result);
}
}

Output: