Algorithm


Problem Name: 661. Image Smoother

An image smoother is a filter of the size 3 x 3 that can be applied to each cell of an image by rounding down the average of the cell and the eight surrounding cells (i.e., the average of the nine cells in the blue smoother). If one or more of the surrounding cells of a cell is not present, we do not consider it in the average (i.e., the average of the four cells in the red smoother).

Given an m x n integer matrix img representing the grayscale of an image, return the image after applying the smoother on each cell of it.

 

Example 1:

Input: img = [[1,1,1],[1,0,1],[1,1,1]]
Output: [[0,0,0],[0,0,0],[0,0,0]]
Explanation:
For the points (0,0), (0,2), (2,0), (2,2): floor(3/4) = floor(0.75) = 0
For the points (0,1), (1,0), (1,2), (2,1): floor(5/6) = floor(0.83333333) = 0
For the point (1,1): floor(8/9) = floor(0.88888889) = 0

Example 2:

Input: img = [[100,200,100],[200,50,200],[100,200,100]]
Output: [[137,141,137],[141,138,141],[137,141,137]]
Explanation:
For the points (0,0), (0,2), (2,0), (2,2): floor((100+200+200+50)/4) = floor(137.5) = 137
For the points (0,1), (1,0), (1,2), (2,1): floor((200+200+50+200+100+100)/6) = floor(141.666667) = 141
For the point (1,1): floor((50+200+200+200+200+100+100+100+100)/9) = floor(138.888889) = 138

 

Constraints:

  • m == img.length
  • n == img[i].length
  • 1 <= m, n <= 200
  • 0 <= img[i][j] <= 255
 

Code Examples

#1 Code Example with Java Programming

Code - Java Programming


class Solution {
    public int[][] imageSmoother(int[][] M) {
        
        int[][] res = new int[M.length][M[0].length];
        for (int i=0;i < M.length;i++) {
            for (int j=0;j < M[0].length;j++) {
                int count = 1;
                int sum = M[i][j];
                
                if(j-1 >= 0) {
                    count++;
                    sum += M[i][j-1];
                }
                if(j+1 < M[0].length> {
                    count++;
                    sum += M[i][j+1];
                }
                if(i-1 >= 0) {
                    count++;
                    sum += M[i-1][j];
                }
                if(i+1 < M.length) {
                    count++;
                    sum += M[i+1][j];
                }
                if(i+1  <  M.length && j+1 < M[0].length> {
                    count++;
                    sum += M[i+1][j+1];
                }
                if(i+1  <  M.length && j-1 >= 0) {
                    count++;
                    sum += M[i+1][j-1];
                }
                if(i-1 >= 0 && j-1 >= 0) {
                    count++;
                    sum += M[i-1][j-1];
                }
                if(i-1 >= 0 && j+1 < M[0].length) {
                    count++;
                    sum += M[i-1][j+1];
                }
                
                res[i][j] = (int)Math.floor(sum/count>;
            }
        }
        
        return res;
    }
}
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Input

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cmd
mg = [[1,1,1],[1,0,1],[1,1,1]]

Output

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cmd
[[0,0,0],[0,0,0],[0,0,0]]

#2 Code Example with Javascript Programming

Code - Javascript Programming


const imageSmoother = function (M) {
  const r = M.length
  if (r === 0) return 0
  const c = M[0].length
  if (c === 0) return 0
  const res = Array.from({ length: r }, () => Array(c).fill(0))
  for (let i = 0; i  <  r; i++) {
    for (let j = 0; j  <  c; j++) {
      res[i][j] = helper(M, i, j, res)
    }
  }
  return res
}

function helper(M, i, j, res) {
  let val = M[i][j]
  let num = 1
  const dirs = [
    [-1, -1],
    [-1, 0],
    [-1, 1],
    [0, -1],
    [0, 1],
    [1, -1],
    [1, 0],
    [1, 1],
  ]
  for (let [dr, dc] of dirs) {
    const ii = i + dr
    const jj = j + dc
    if (M[ii] != null && M[ii][jj] != null) {
      val += M[ii][jj]
      num++
    }
  }
  return (val / num) >> 0
}
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Input

x
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cmd
mg = [[1,1,1],[1,0,1],[1,1,1]]

Output

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[[0,0,0],[0,0,0],[0,0,0]]

#3 Code Example with Python Programming

Code - Python Programming


class Solution:
    def imageSmoother(self, M: List[List[int]]) -> List[List[int]]:
        m, n = len(M), len(M[0])
        grid = [[0] * n for _ in range(m)]
        for i in range(m):
            for j in range(n):
                adj = [M[i + x][j + y] for x, y in ((0, 0), (-1, 0), (1, 0), (0, -1), (0, 1), (-1, -1), (-1, 1), (1, 1), (1, -1)) if 0 <= i + x < m and 0 <= j + y < n] 
                grid[i][j] = sum(adj) // len(adj)
        return grid
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Input

x
+
cmd
img = [[100,200,100],[200,50,200],[100,200,100]]

#4 Code Example with C# Programming

Code - C# Programming


namespace LeetCode
{
    public class _0661_ImageSmoother
    {
        public int[][] ImageSmoother(int[][] M)
        {
            var rows = M.Length;
            var cols = M[0].Length;
            int[][] answer = new int[rows][];

            for (var r = 0; r  <  rows; ++r)
            {
                answer[r] = new int[cols];
                for (var c = 0; c  <  cols; ++c)
                {
                    int count = 0;
                    for (var nr = r - 1; nr  < = r + 1; nr++)
                        for (var nc = c - 1; nc  < = c + 1; nc++)
                        {
                            if (0 <= nr && nr < rows && 0 <= nc && nc < cols)
                            {
                                answer[r][c] += M[nr][nc];
                                count++;
                            }
                        }
                    answer[r][c] /= count;
                }
            }
            return answer;
        }
    }
}
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Input

x
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cmd
img = [[100,200,100],[200,50,200],[100,200,100]]

Output

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cmd
[[137,141,137],[141,138,141],[137,141,137]]
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