Coloring A Border
Given a 2-dimensional grid
of integers, each value in the grid represents the color of the grid square at that location.
Two squares belong to the same connected component if and only if they have the same color and are next to each other in any of the 4 directions.
The border of a connected component is all the squares in the connected component that are either 4-directionally adjacent to a square not in the component, or on the boundary of the grid (the first or last row or column).
Given a square at location (r0, c0)
in the grid and a color
, color the border of the connected component of that square with the given color
, and return the final grid
.
Example 1:
Input: grid = [[1,1],[1,2]], r0 = 0, c0 = 0, color = 3
Output: [[3, 3], [3, 2]]
Example 2:
Input: grid = [[1,2,2],[2,3,2]], r0 = 0, c0 = 1, color = 3
Output: [[1, 3, 3], [2, 3, 3]]
Example 3:
Input: grid = [[1,1,1],[1,1,1],[1,1,1]], r0 = 1, c0 = 1, color = 2
Output: [[2, 2, 2], [2, 1, 2], [2, 2, 2]]
Note:
1 <= grid.length <= 50
1 <= grid[0].length <= 50
1 <= grid[i][j] <= 1000
0 <= r0 < grid.length
0 <= c0 < grid[0].length
1 <= color <= 1000
class Solution {
public int[][] colorBorder(int[][] grid, int r0, int c0, int color) {
boolean[][] visited = new boolean[grid.length][grid[0].length];
Queue<int[]> q = new LinkedList<>();
q.add(new int[] { r0, c0 });
int[][] dir = { { 1, 0 }, { 0, 1 }, { -1, 0 }, { 0, -1 } };
// Marking the connected component
int sameColor = grid[r0][c0];
while (q.size() != 0) {
int size = q.size();
while (size-- > 0) {
int[] pos = q.poll();
if (visited[pos[0]][pos[1]])
continue;
visited[pos[0]][pos[1]] = true;
for (int i = 0; i < 4; i++) {
int newX = pos[0] + dir[i][0], newY = pos[1] + dir[i][1];
if (newX >= 0 && newX < grid.length && newY >= 0 && newY < grid[0].length
&& grid[newX][newY] == sameColor)
q.add(new int[] { newX, newY });
}
}
}
int[][] ans = new int[grid.length][grid[0].length];
for (int x = 0; x < grid.length; x++) {
for (int y = 0; y < grid[0].length; y++) {
// If this sq. belongs to our component
if (visited[x][y]) {
if (x == 0 || x == grid.length - 1 || y == 0 || y == grid[0].length - 1)
ans[x][y] = color;
else {
boolean border = false;
for (int i = 0; i < 4; i++) {
int newX = x + dir[i][0], newY = y + dir[i][1];
if (!visited[newX][newY]) {
border = true;
break;
}
}
if (border)
ans[x][y] = color;
else
ans[x][y] = sameColor;
}
} else
ans[x][y] = grid[x][y];
}
}
return ans;
}
}
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