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OrganizingContainersOfBalls.java
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// https://www.hackerrank.com/challenges/organizing-containers-of-balls/problem
package implimentation;
import java.util.HashMap;
import java.util.Map;
import java.util.Scanner;
public class OrganizingContainersOfBalls {
private static final Scanner scanner = new Scanner(System.in);
public static void main(String[] args) {
int queries = scanner.nextInt();
while (queries-- > 0) {
int length = scanner.nextInt();
long[][] containers = getMatrix(length);
System.out.println(isPossibleToOrganize(containers) ? "Possible" : "Impossible");
}
}
private static boolean isPossibleToOrganize(long[][] containers) {
long[] containersCapacity = sumRows(containers);
long[] ballsDistribution = sumColumns(containers);
Map<Long, Integer> capacityFrequency = getFrequency(containersCapacity);
Map<Long, Integer> ballsFrequency = getFrequency(ballsDistribution);
return capacityFrequency.equals(ballsFrequency);
}
private static long[] sumRows(long[][] matrix) {
long[] result = new long[matrix.length];
for (int row = 0 ; row < matrix.length ; row++) {
for (long number : matrix[row]) {
result[row] += number;
}
}
return result;
}
private static long[] sumColumns(long[][] matrix) {
long[] result = new long[matrix.length];
for (int column = 0 ; column < matrix.length ; column++) {
for (int row = 0 ; row < matrix.length ; row++) {
result[column] += matrix[row][column];
}
}
return result;
}
private static Map<Long, Integer> getFrequency(long[] array) {
Map<Long, Integer> frequency = new HashMap<>();
for (long number : array) {
frequency.put(number, frequency.getOrDefault(number, 0) + 1);
}
return frequency;
}
private static long[][] getMatrix(int length) {
long[][] matrix = new long[length][length];
for (int i = 0 ; i < length ; i++) {
for (int j = 0 ; j < length ; j++) {
matrix[i][j] = scanner.nextLong();
}
}
return matrix;
}
}