In MS-Paint, when we take the brush to a pixel and click, the color of the region of that pixel is replaced with a new selected color. Following is the problem statement to do this task.
Given a 2D screen, location of a pixel in the screen and a color, replace color of the given pixel and all adjacent same colored pixels with the given color.
Given a 2D screen, location of a pixel in the screen and a color, replace color of the given pixel and all adjacent same colored pixels with the given color.
Example:
Input:
screen[M][N] = {{1, 1, 1, 1, 1, 1, 1, 1},
{1, 1, 1, 1, 1, 1, 0, 0},
{1, 0, 0, 1, 1, 0, 1, 1},
{1, 2, 2, 2, 2, 0, 1, 0},
{1, 1, 1, 2, 2, 0, 1, 0},
{1, 1, 1, 2, 2, 2, 2, 0},
{1, 1, 1, 1, 1, 2, 1, 1},
{1, 1, 1, 1, 1, 2, 2, 1},
};
x = 4, y = 4, newColor = 3
The values in the given 2D screen indicate colors of the pixels.
x and y are coordinates of the brush, newColor is the color that
should replace the previous color on screen[x][y] and all surrounding
pixels with same color.
Output:
Screen should be changed to following.
screen[M][N] = {{1, 1, 1, 1, 1, 1, 1, 1},
{1, 1, 1, 1, 1, 1, 0, 0},
{1, 0, 0, 1, 1, 0, 1, 1},
{1, 3, 3, 3, 3, 0, 1, 0},
{1, 1, 1, 3, 3, 0, 1, 0},
{1, 1, 1, 3, 3, 3, 3, 0},
{1, 1, 1, 1, 1, 3, 1, 1},
{1, 1, 1, 1, 1, 3, 3, 1},
};
Flood Fill Algorithm:
The idea is simple, we first replace the color of current pixel, then recur for 4 surrounding points. The following is detailed algorithm.
The idea is simple, we first replace the color of current pixel, then recur for 4 surrounding points. The following is detailed algorithm.
// A recursive function to replace previous color 'prevC' at '(x, y)'
// and all surrounding pixels of (x, y) with new color 'newC' and
floodFil(screen[M][N], x, y, prevC, newC)
1) If x or y is outside the screen, then return.
2) If color of screen[x][y] is not same as prevC, then return
3) Recur for north, south, east and west.
floodFillUtil(screen, x+1, y, prevC, newC);
floodFillUtil(screen, x-1, y, prevC, newC);
floodFillUtil(screen, x, y+1, prevC, newC);
floodFillUtil(screen, x, y-1, prevC, newC);
The following is C++ implementation of above algorithm.
// A C++ program to implement flood fill algorithm#include<iostream>using namespace std;// Dimentions of paint screen#define M 8#define N 8// A recursive function to replace previous color 'prevC' at '(x, y)' // and all surrounding pixels of (x, y) with new color 'newC' andvoid floodFillUtil(int screen[][N], int x, int y, int prevC, int newC){ // Base cases if (x < 0 || x >= M || y < 0 || y >= N) return; if (screen[x][y] != prevC) return; // Replace the color at (x, y) screen[x][y] = newC; // Recur for north, east, south and west floodFillUtil(screen, x+1, y, prevC, newC); floodFillUtil(screen, x-1, y, prevC, newC); floodFillUtil(screen, x, y+1, prevC, newC); floodFillUtil(screen, x, y-1, prevC, newC);}// It mainly finds the previous color on (x, y) and// calls floodFillUtil()void floodFill(int screen[][N], int x, int y, int newC){ int prevC = screen[x][y]; floodFillUtil(screen, x, y, prevC, newC);}// Driver program to test above functionint main(){ int screen[M][N] = {{1, 1, 1, 1, 1, 1, 1, 1}, {1, 1, 1, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 1}, {1, 2, 2, 2, 2, 0, 1, 0}, {1, 1, 1, 2, 2, 0, 1, 0}, {1, 1, 1, 2, 2, 2, 2, 0}, {1, 1, 1, 1, 1, 2, 1, 1}, {1, 1, 1, 1, 1, 2, 2, 1}, }; int x = 4, y = 4, newC = 3; floodFill(screen, x, y, newC); cout << "Updated screen after call to floodFill: \n"; for (int i=0; i<M; i++) { for (int j=0; j<N; j++) cout << screen[i][j] << " "; cout << endl; }} |
Output:
Updated screen after call to floodFill: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 1 0 1 1 1 3 3 3 3 0 1 0 1 1 1 3 3 0 1 0 1 1 1 3 3 3 3 0 1 1 1 1 1 3 1 1 1 1 1 1 1 3 3 1
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