733. Flood Fill

1. Description

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.

2. Example

Example 1:
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.

3. 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].

4. Solutions

My Accepted Solution

n is the number of pixels in m_image
Time complexity: O(n)
Space complexity: O(n)

class Solution 
{
private:
    void setNewColor(vector<vector<int>> &m_image, int row, int colum, int oldColor, int newColor)
    {
        if(0 <= row && row < m_image.size() && 0 <= colum && colum < m_image.front().size())
        {
            if(m_image[row][colum] != oldColor || m_image[row][colum] == newColor)
                return ;
            
            m_image[row][colum] = newColor;
            
            setNewColor(m_image, row - 1, colum, oldColor, newColor);
            setNewColor(m_image, row + 1, colum, oldColor, newColor);
            setNewColor(m_image, row, colum - 1, oldColor, newColor);
            setNewColor(m_image, row, colum + 1, oldColor, newColor);
        }
    }
public:
    // vector<vector<int>> floodFill(vector<vector<int>>& image, int sr, int sc, int newColor) 
    vector<vector<int>> floodFill(vector<vector<int>> &m_image, int row, int colum, int newColor) 
    {
        int oldColor = m_image[row][colum];
        setNewColor(m_image, row, colum, oldColor, newColor);
        
        return m_image;
    }
};