1. Description

Matrix Cells in Distance Order

2. Solution

解析：Version 1，直接根据距离进行排序。Version 使用广度优先搜索。

Version 1

class Solution:
    def allCellsDistOrder(self, rows: int, cols: int, rCenter: int, cCenter: int) -> List[List[int]]:
        coordinates = [[i, j] for i in range(rows) for j in range(cols)]
        coordinates.sort(key=lambda x: abs(x[0] - rCenter) + abs(x[1] - cCenter))
        return coordinates

Version 2

class Solution:
    def allCellsDistOrder(self, rows: int, cols: int, rCenter: int, cCenter: int) -> List[List[int]]:
        matrix = [[0] * cols for i in range(rows)]
        queue = collections.deque()
        queue.append((rCenter, cCenter))
        matrix[rCenter][cCenter] = 1
        coordinates = []
        while queue:
            x, y = queue.popleft()
            coordinates.append([x, y])
            matrix[x][y] = 1
            if x > 0 and matrix[x-1][y] == 0:
                matrix[x-1][y] = 1
                queue.append((x-1, y))             
            if x < rows - 1 and matrix[x+1][y] == 0:
                matrix[x+1][y] = 1
                queue.append((x+1, y))   
            if y > 0 and matrix[x][y-1] == 0:
                matrix[x][y-1] = 1
                queue.append((x, y-1))             
            if y < cols - 1 and matrix[x][y+1] == 0:
                matrix[x][y+1] = 1
                queue.append((x, y+1))   
        return coordinates