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| 1 | +package me.ramswaroop.arrays; |
| 2 | + |
| 3 | +/** |
| 4 | + * Created by IntelliJ IDEA. |
| 5 | + * |
| 6 | + * @author: ramswaroop |
| 7 | + * @date: 9/11/15 |
| 8 | + * @time: 3:28 PM |
| 9 | + * @see: http://www.geeksforgeeks.org/a-boolean-matrix-question/ |
| 10 | + */ |
| 11 | +public class BooleanMatrix { |
| 12 | + |
| 13 | + /** |
| 14 | + * Given a boolean matrix mat[M][N] of size M X N, modify it such that |
| 15 | + * if a matrix cell mat[i][j] is 1 (or true) then make all the cells of |
| 16 | + * ith row and jth column as 1. |
| 17 | + * |
| 18 | + * @param a |
| 19 | + */ |
| 20 | + public static void modifyBooleanMatrix(int[][] a) { |
| 21 | + int rowFlag = 0, colFlag = 0; |
| 22 | + |
| 23 | + // if a[i][j] is 1 then we make a[0][j] 1 and a[i][0] 1 |
| 24 | + for (int i = 0; i < a.length; i++) { |
| 25 | + for (int j = 0; j < a[0].length; j++) { |
| 26 | + if (i == 0 || j == 0) { |
| 27 | + if (a[i][0] == 1) { |
| 28 | + rowFlag = 1; |
| 29 | + } |
| 30 | + if (a[0][j] == 1) { |
| 31 | + colFlag = 1; |
| 32 | + } |
| 33 | + } else if (a[i][j] == 1) { |
| 34 | + a[0][j] = 1; |
| 35 | + a[i][0] = 1; |
| 36 | + } |
| 37 | + } |
| 38 | + } |
| 39 | + |
| 40 | + // if a[0][j] is 1 or a[i][0] is 1 then a[i][j] is 1 |
| 41 | + for (int i = 1; i < a.length; i++) { |
| 42 | + for (int j = 1; j < a[0].length; j++) { |
| 43 | + if (a[0][j] == 1 || a[i][0] == 1) { |
| 44 | + a[i][j] = 1; |
| 45 | + } |
| 46 | + } |
| 47 | + } |
| 48 | + |
| 49 | + if (rowFlag == 1) { |
| 50 | + for (int j = 0; j < a[0].length; j++) { |
| 51 | + a[0][j] = 1; |
| 52 | + } |
| 53 | + } |
| 54 | + if (colFlag == 1) { |
| 55 | + for (int i = 0; i < a.length; i++) { |
| 56 | + a[i][0] = 1; |
| 57 | + } |
| 58 | + } |
| 59 | + } |
| 60 | + |
| 61 | + private static void print2DMatrix(int[][] a) { |
| 62 | + for (int i = 0; i < a.length; i++) { |
| 63 | + for (int j = 0; j < a[0].length; j++) { |
| 64 | + System.out.print(a[i][j]); |
| 65 | + } |
| 66 | + System.out.println(); |
| 67 | + } |
| 68 | + } |
| 69 | + |
| 70 | + public static void main(String a[]) { |
| 71 | + int[][] ar = new int[][]{{1, 0, 0, 1}, {0, 0, 1, 0}, {0, 0, 0, 0}}; |
| 72 | + print2DMatrix(ar); |
| 73 | + modifyBooleanMatrix(ar); |
| 74 | + print2DMatrix(ar); |
| 75 | + System.out.println("-------"); |
| 76 | + ar = new int[][]{{1, 0}, {0, 0}}; |
| 77 | + print2DMatrix(ar); |
| 78 | + modifyBooleanMatrix(ar); |
| 79 | + print2DMatrix(ar); |
| 80 | + } |
| 81 | +} |
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