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| 1 | +import java.util.ArrayList; |
| 2 | +import java.util.List; |
| 3 | + |
| 4 | +public class LuckyNumbersInAMatrix { |
| 5 | + public List<Integer> luckyNumbers (int[][] matrix) { |
| 6 | + final int rows = matrix.length, columns = matrix[0].length; |
| 7 | + final List<Integer> luckyNumbers = new ArrayList<>(); |
| 8 | + int[] columnMax = getMaxOfColumns(matrix); |
| 9 | + for (int row = 0 ; row < rows ; row++) { |
| 10 | + RowMin rowMin = RowMin.from(matrix[row]); |
| 11 | + if (rowMin.min == columnMax[rowMin.index]) { |
| 12 | + luckyNumbers.add(rowMin.min); |
| 13 | + } |
| 14 | + } |
| 15 | + return luckyNumbers; |
| 16 | + } |
| 17 | + |
| 18 | + private static final class RowMin { |
| 19 | + private final int index; |
| 20 | + private final int min; |
| 21 | + |
| 22 | + private RowMin(int index, int min) { |
| 23 | + this.index = index; |
| 24 | + this.min = min; |
| 25 | + } |
| 26 | + |
| 27 | + private static RowMin from(int[] row) { |
| 28 | + int minIndex = 0, min = row[0]; |
| 29 | + for (int i = 1; i < row.length; i++) { |
| 30 | + if (row[i] < min) { |
| 31 | + minIndex = i; |
| 32 | + min = row[i]; |
| 33 | + } |
| 34 | + } |
| 35 | + return new RowMin(minIndex, min); |
| 36 | + } |
| 37 | + } |
| 38 | + |
| 39 | + private int[] getMaxOfColumns(int[][] grid) { |
| 40 | + final int rows = grid.length, columns = grid[0].length; |
| 41 | + final int[] columnsMax = new int[columns]; |
| 42 | + for (int[] row : grid) { |
| 43 | + for (int column = 0 ; column < columns ; column++) { |
| 44 | + columnsMax[column] = Math.max(columnsMax[column], row[column]); |
| 45 | + } |
| 46 | + } |
| 47 | + return columnsMax; |
| 48 | + } |
| 49 | +} |
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