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| 1 | +<h2>947. Most Stones Removed with Same Row or Column</h2><h3>Medium</h3><hr><div><p>On a 2D plane, we place <code>n</code> stones at some integer coordinate points. Each coordinate point may have at most one stone.</p> |
| 2 | + |
| 3 | +<p>A stone can be removed if it shares either <strong>the same row or the same column</strong> as another stone that has not been removed.</p> |
| 4 | + |
| 5 | +<p>Given an array <code>stones</code> of length <code>n</code> where <code>stones[i] = [x<sub>i</sub>, y<sub>i</sub>]</code> represents the location of the <code>i<sup>th</sup></code> stone, return <em>the largest possible number of stones that can be removed</em>.</p> |
| 6 | + |
| 7 | +<p> </p> |
| 8 | +<p><strong>Example 1:</strong></p> |
| 9 | + |
| 10 | +<pre><strong>Input:</strong> stones = [[0,0],[0,1],[1,0],[1,2],[2,1],[2,2]] |
| 11 | +<strong>Output:</strong> 5 |
| 12 | +<strong>Explanation:</strong> One way to remove 5 stones is as follows: |
| 13 | +1. Remove stone [2,2] because it shares the same row as [2,1]. |
| 14 | +2. Remove stone [2,1] because it shares the same column as [0,1]. |
| 15 | +3. Remove stone [1,2] because it shares the same row as [1,0]. |
| 16 | +4. Remove stone [1,0] because it shares the same column as [0,0]. |
| 17 | +5. Remove stone [0,1] because it shares the same row as [0,0]. |
| 18 | +Stone [0,0] cannot be removed since it does not share a row/column with another stone still on the plane. |
| 19 | +</pre> |
| 20 | + |
| 21 | +<p><strong>Example 2:</strong></p> |
| 22 | + |
| 23 | +<pre><strong>Input:</strong> stones = [[0,0],[0,2],[1,1],[2,0],[2,2]] |
| 24 | +<strong>Output:</strong> 3 |
| 25 | +<strong>Explanation:</strong> One way to make 3 moves is as follows: |
| 26 | +1. Remove stone [2,2] because it shares the same row as [2,0]. |
| 27 | +2. Remove stone [2,0] because it shares the same column as [0,0]. |
| 28 | +3. Remove stone [0,2] because it shares the same row as [0,0]. |
| 29 | +Stones [0,0] and [1,1] cannot be removed since they do not share a row/column with another stone still on the plane. |
| 30 | +</pre> |
| 31 | + |
| 32 | +<p><strong>Example 3:</strong></p> |
| 33 | + |
| 34 | +<pre><strong>Input:</strong> stones = [[0,0]] |
| 35 | +<strong>Output:</strong> 0 |
| 36 | +<strong>Explanation:</strong> [0,0] is the only stone on the plane, so you cannot remove it. |
| 37 | +</pre> |
| 38 | + |
| 39 | +<p> </p> |
| 40 | +<p><strong>Constraints:</strong></p> |
| 41 | + |
| 42 | +<ul> |
| 43 | + <li><code>1 <= stones.length <= 1000</code></li> |
| 44 | + <li><code>0 <= x<sub>i</sub>, y<sub>i</sub> <= 10<sup>4</sup></code></li> |
| 45 | + <li>No two stones are at the same coordinate point.</li> |
| 46 | +</ul> |
| 47 | +</div> |
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