pacific-atlantic-water-flow

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Algorithms

There is an <code>m x n</code> rectangular island that borders both the Pacific Ocean and Atlantic Ocean. The Pacific Ocean touches the island&#39;s left and top edges, and the Atlantic Ocean touches the island&#39;s right and bottom edges.

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

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&#39;s height is less than or equal to the current cell&#39;s height. Water can flow from any cell adjacent to an ocean into the ocean.

Return a 2D list of grid coordinates <code>result</code> where <code>result[i] = [ri, ci]</code> denotes that rain water can flow from cell <code>(ri, ci)</code> to both the Pacific and Atlantic oceans.

&nbsp;
Example 1:
<img alt="" src="https://assets.leetcode.com/uploads/2021/06/08/waterflow-grid.jpg" style="width: 400px; height: 400px;" />
<pre>
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]]
Explanation: The following cells can flow to the Pacific and Atlantic oceans, as shown below:
[0,4]: [0,4] -&gt; Pacific Ocean 
&nbsp; [0,4] -&gt; Atlantic Ocean
[1,3]: [1,3] -&gt; [0,3] -&gt; Pacific Ocean 
&nbsp; [1,3] -&gt; [1,4] -&gt; Atlantic Ocean
[1,4]: [1,4] -&gt; [1,3] -&gt; [0,3] -&gt; Pacific Ocean 
&nbsp; [1,4] -&gt; Atlantic Ocean
[2,2]: [2,2] -&gt; [1,2] -&gt; [0,2] -&gt; Pacific Ocean 
&nbsp; [2,2] -&gt; [2,3] -&gt; [2,4] -&gt; Atlantic Ocean
[3,0]: [3,0] -&gt; Pacific Ocean 
&nbsp; [3,0] -&gt; [4,0] -&gt; Atlantic Ocean
[3,1]: [3,1] -&gt; [3,0] -&gt; Pacific Ocean 
&nbsp; [3,1] -&gt; [4,1] -&gt; Atlantic Ocean
[4,0]: [4,0] -&gt; Pacific Ocean 
 [4,0] -&gt; Atlantic Ocean
Note that there are other possible paths for these cells to flow to the Pacific and Atlantic oceans.
</pre>

Example 2:

<pre>
Input: heights = [[1]]
Output: [[0,0]]
Explanation: The water can flow from the only cell to the Pacific and Atlantic oceans.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>m == heights.length</code></li>
	<li><code>n == heights[r].length</code></li>
	<li><code>1 &lt;= m, n &lt;= 200</code></li>
	<li><code>0 &lt;= heights[r][c] &lt;= 105</code></li>
</ul>

pacificAtlantic

Pacific Atlantic Water Flow

Depth-First Search

Breadth-First Search

Array

Matrix

有一个 <code>m × n</code> 的矩形岛屿，与 太平洋 和 大西洋 相邻。&nbsp;“太平洋”&nbsp;处于大陆的左边界和上边界，而 “大西洋” 处于大陆的右边界和下边界。

这个岛被分割成一个由若干方形单元格组成的网格。给定一个 <code>m x n</code> 的整数矩阵&nbsp;<code>heights</code>&nbsp;，&nbsp;<code>heights[r][c]</code>&nbsp;表示坐标 <code>(r, c)</code> 上单元格 高于海平面的高度 。

岛上雨水较多，如果相邻单元格的高度 小于或等于 当前单元格的高度，雨水可以直接向北、南、东、西流向相邻单元格。水可以从海洋附近的任何单元格流入海洋。

返回网格坐标 <code>result</code>&nbsp;的 2D 列表 ，其中&nbsp;<code>result[i] = [ri, ci]</code>&nbsp;表示雨水从单元格 <code>(ri, ci)</code> 流动 既可流向太平洋也可流向大西洋 。

&nbsp;

示例 1：

<img src="https://assets.leetcode.com/uploads/2021/06/08/waterflow-grid.jpg" />

<pre>
输入: 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]]
输出: [[0,4],[1,3],[1,4],[2,2],[3,0],[3,1],[4,0]]
</pre>

示例 2：

<pre>
输入: heights = [[2,1],[1,2]]
输出: [[0,0],[0,1],[1,0],[1,1]]
</pre>

&nbsp;

提示：

<ul>
	<li><code>m == heights.length</code></li>
	<li><code>n == heights[r].length</code></li>
	<li><code>1 &lt;= m, n &lt;= 200</code></li>
	<li><code>0 &lt;= heights[r][c] &lt;= 105</code></li>
</ul>