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49 lines
3.3 KiB
HTML
49 lines
3.3 KiB
HTML
<p>You are given a <strong>0-indexed</strong> array <code>heights</code> of positive integers, where <code>heights[i]</code> represents the height of the <code>i<sup>th</sup></code> building.</p>
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<p>If a person is in building <code>i</code>, they can move to any other building <code>j</code> if and only if <code>i < j</code> and <code>heights[i] < heights[j]</code>.</p>
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<p>You are also given another array <code>queries</code> where <code>queries[i] = [a<sub>i</sub>, b<sub>i</sub>]</code>. On the <code>i<sup>th</sup></code> query, Alice is in building <code>a<sub>i</sub></code> while Bob is in building <code>b<sub>i</sub></code>.</p>
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<p>Return <em>an array</em> <code>ans</code> <em>where</em> <code>ans[i]</code> <em>is <strong>the index of the leftmost building</strong> where Alice and Bob can meet on the</em> <code>i<sup>th</sup></code> <em>query</em>. <em>If Alice and Bob cannot move to a common building on query</em> <code>i</code>, <em>set</em> <code>ans[i]</code> <em>to</em> <code>-1</code>.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> heights = [6,4,8,5,2,7], queries = [[0,1],[0,3],[2,4],[3,4],[2,2]]
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<strong>Output:</strong> [2,5,-1,5,2]
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<strong>Explanation:</strong> In the first query, Alice and Bob can move to building 2 since heights[0] < heights[2] and heights[1] < heights[2].
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In the second query, Alice and Bob can move to building 5 since heights[0] < heights[5] and heights[3] < heights[5].
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In the third query, Alice cannot meet Bob since Alice cannot move to any other building.
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In the fourth query, Alice and Bob can move to building 5 since heights[3] < heights[5] and heights[4] < heights[5].
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In the fifth query, Alice and Bob are already in the same building.
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For ans[i] != -1, It can be shown that ans[i] is the leftmost building where Alice and Bob can meet.
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For ans[i] == -1, It can be shown that there is no building where Alice and Bob can meet.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> heights = [5,3,8,2,6,1,4,6], queries = [[0,7],[3,5],[5,2],[3,0],[1,6]]
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<strong>Output:</strong> [7,6,-1,4,6]
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<strong>Explanation:</strong> In the first query, Alice can directly move to Bob's building since heights[0] < heights[7].
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In the second query, Alice and Bob can move to building 6 since heights[3] < heights[6] and heights[5] < heights[6].
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In the third query, Alice cannot meet Bob since Bob cannot move to any other building.
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In the fourth query, Alice and Bob can move to building 4 since heights[3] < heights[4] and heights[0] < heights[4].
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In the fifth query, Alice can directly move to Bob's building since heights[1] < heights[6].
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For ans[i] != -1, It can be shown that ans[i] is the leftmost building where Alice and Bob can meet.
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For ans[i] == -1, It can be shown that there is no building where Alice and Bob can meet.
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= heights.length <= 5 * 10<sup>4</sup></code></li>
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<li><code>1 <= heights[i] <= 10<sup>9</sup></code></li>
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<li><code>1 <= queries.length <= 5 * 10<sup>4</sup></code></li>
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<li><code>queries[i] = [a<sub>i</sub>, b<sub>i</sub>]</code></li>
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<li><code>0 <= a<sub>i</sub>, b<sub>i</sub> <= heights.length - 1</code></li>
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</ul>
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