Problem Description

There is an m x n rectangular island that borders both the Pacific Ocean and Atlantic Ocean. The Pacific Ocean touches the island's left and top edges, and the Atlantic Ocean touches the island's right and bottom edges.

The island is partitioned into a grid of square cells. You are given an m x n integer matrix heights where heights[r][c] represents the height above sea level of the cell at coordinate (r, c).

The island receives a lot of rain, and the rain water can flow to neighboring cells directly north, south, east, and west if the neighboring cell's height is less than or equal to the current cell's height. Water can flow from any cell adjacent to an ocean into the ocean.

Return 2D list of grid coordinates result where result[i] = [$r_i$, $c_i$] denotes that rain water can flow from cell ($r_i$, $c_i$) to both the Pacific and Atlantic oceans.

Examples

Example 1:

Input: heights = [[1,2,2,3,5],[3,2,3,4,4],[2,4,5,3,1],[6,7,1,4,5],[5,1,1,2,4]]
Output: [[0,4],[1,3],[1,4],[2,2],[3,0],[3,1],[4,0]]

Example 2:

Input: heights = [[2,1],[1,2]]
Output: [[0,0],[0,1],[1,0],[1,1]]

Constraints:

解析

題目 給定一個 m by n 矩陣 heights , 每個 cell height[r][c] 代表該位置的高度

每個 cell 的假設如果上面有水會從水平以及重直方向相鄰且高度較低的 cell 流去

假設 上方還有左方代表 pacific ocean, 下方還有右方代表 atlantic ocean