LeetCode #733 - Flood Fill

本文介绍了一种在二维图像上进行洪水填充(flood fill)的算法实现,通过递归方式改变与起始像素颜色相同的相邻像素的颜色。文章详细解释了算法的工作原理,包括如何从指定的起点(sr,sc)开始,将所有连接的相同颜色像素替换为新的颜色(newColor)。

题目描述:

An image is represented by a 2-D array of integers, each integer representing the pixel value of the image (from 0 to 65535).

Given a coordinate (sr, sc) representing the starting pixel (row and column) of the flood fill, and a pixel value newColor, "flood fill" the image.

To perform a "flood fill", consider the starting pixel, plus any pixels connected 4-directionally to the starting pixel of the same color as the starting pixel, plus any pixels connected 4-directionally to those pixels (also with the same color as the starting pixel), and so on. Replace the color of all of the aforementioned pixels with the newColor.

At the end, return the modified image.

Example 1:

Input: 
image = [[1,1,1],[1,1,0],[1,0,1]]
sr = 1, sc = 1, newColor = 2
Output: [[2,2,2],[2,2,0],[2,0,1]]
Explanation: 
From the center of the image (with position (sr, sc) = (1, 1)), all pixels connected 
by a path of the same color as the starting pixel are colored with the new color.
Note the bottom corner is not colored 2, because it is not 4-directionally connected
to the starting pixel.

Note:

  • The length of image and image[0] will be in the range [1, 50].
  • The given starting pixel will satisfy 0 <= sr < image.length and 0 <= sc < image[0].length.
  • The value of each color in image[i][j] and newColor will be an integer in [0, 65535].
class Solution {
public:
    vector<vector<int>> floodFill(vector<vector<int>>& image, int sr, int sc, int newColor) {
        if(image[sr][sc]==newColor) return image;
        fill(image,sr,sc,image[sr][sc],newColor);
        return image;
    }
    
    void fill(vector<vector<int>>& image, int i, int j, int color, int newColor)
    {
        if(image[i][j]!=color) return;
        image[i][j]=newColor;
        if(i>0) fill(image,i-1,j,color,newColor);
        if(i<image.size()-1) fill(image,i+1,j,color,newColor);
        if(j>0) fill(image,i,j-1,color,newColor);
        if(j<image[0].size()-1) fill(image,i,j+1,color,newColor);
    }
};

 

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