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| 1 | +<h2><a href="https://leetcode.com/problems/pacific-atlantic-water-flow">Pacific Atlantic Water Flow</a></h2> <img src='https://img.shields.io/badge/Difficulty-Medium-orange' alt='Difficulty: Medium' /><hr><p>There is an <code>m x n</code> rectangular island that borders both the <strong>Pacific Ocean</strong> and <strong>Atlantic Ocean</strong>. The <strong>Pacific Ocean</strong> touches the island's left and top edges, and the <strong>Atlantic Ocean</strong> touches the island's right and bottom edges.</p> |
| 2 | + |
| 3 | +<p>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 <strong>height above sea level</strong> of the cell at coordinate <code>(r, c)</code>.</p> |
| 4 | + |
| 5 | +<p>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 <strong>less than or equal to</strong> the current cell's height. Water can flow from any cell adjacent to an ocean into the ocean.</p> |
| 6 | + |
| 7 | +<p>Return <em>a <strong>2D list</strong> of grid coordinates </em><code>result</code><em> where </em><code>result[i] = [r<sub>i</sub>, c<sub>i</sub>]</code><em> denotes that rain water can flow from cell </em><code>(r<sub>i</sub>, c<sub>i</sub>)</code><em> to <strong>both</strong> the Pacific and Atlantic oceans</em>.</p> |
| 8 | + |
| 9 | +<p> </p> |
| 10 | +<p><strong class="example">Example 1:</strong></p> |
| 11 | +<img alt="" src="https://assets.leetcode.com/uploads/2021/06/08/waterflow-grid.jpg" style="width: 400px; height: 400px;" /> |
| 12 | +<pre> |
| 13 | +<strong>Input:</strong> 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]] |
| 14 | +<strong>Output:</strong> [[0,4],[1,3],[1,4],[2,2],[3,0],[3,1],[4,0]] |
| 15 | +<strong>Explanation:</strong> The following cells can flow to the Pacific and Atlantic oceans, as shown below: |
| 16 | +[0,4]: [0,4] -> Pacific Ocean |
| 17 | + [0,4] -> Atlantic Ocean |
| 18 | +[1,3]: [1,3] -> [0,3] -> Pacific Ocean |
| 19 | + [1,3] -> [1,4] -> Atlantic Ocean |
| 20 | +[1,4]: [1,4] -> [1,3] -> [0,3] -> Pacific Ocean |
| 21 | + [1,4] -> Atlantic Ocean |
| 22 | +[2,2]: [2,2] -> [1,2] -> [0,2] -> Pacific Ocean |
| 23 | + [2,2] -> [2,3] -> [2,4] -> Atlantic Ocean |
| 24 | +[3,0]: [3,0] -> Pacific Ocean |
| 25 | + [3,0] -> [4,0] -> Atlantic Ocean |
| 26 | +[3,1]: [3,1] -> [3,0] -> Pacific Ocean |
| 27 | + [3,1] -> [4,1] -> Atlantic Ocean |
| 28 | +[4,0]: [4,0] -> Pacific Ocean |
| 29 | + [4,0] -> Atlantic Ocean |
| 30 | +Note that there are other possible paths for these cells to flow to the Pacific and Atlantic oceans. |
| 31 | +</pre> |
| 32 | + |
| 33 | +<p><strong class="example">Example 2:</strong></p> |
| 34 | + |
| 35 | +<pre> |
| 36 | +<strong>Input:</strong> heights = [[1]] |
| 37 | +<strong>Output:</strong> [[0,0]] |
| 38 | +<strong>Explanation:</strong> The water can flow from the only cell to the Pacific and Atlantic oceans. |
| 39 | +</pre> |
| 40 | + |
| 41 | +<p> </p> |
| 42 | +<p><strong>Constraints:</strong></p> |
| 43 | + |
| 44 | +<ul> |
| 45 | + <li><code>m == heights.length</code></li> |
| 46 | + <li><code>n == heights[r].length</code></li> |
| 47 | + <li><code>1 <= m, n <= 200</code></li> |
| 48 | + <li><code>0 <= heights[r][c] <= 10<sup>5</sup></code></li> |
| 49 | +</ul> |
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