mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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168 lines
17 KiB
JSON
168 lines
17 KiB
JSON
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"questionId": "2199",
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"title": "Two Furthest Houses With Different Colors",
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"content": "<p>There are <code>n</code> houses evenly lined up on the street, and each house is beautifully painted. You are given a <strong>0-indexed</strong> integer array <code>colors</code> of length <code>n</code>, where <code>colors[i]</code> represents the color of the <code>i<sup>th</sup></code> house.</p>\n\n<p>Return <em>the <strong>maximum</strong> distance between <strong>two</strong> houses with <strong>different</strong> colors</em>.</p>\n\n<p>The distance between the <code>i<sup>th</sup></code> and <code>j<sup>th</sup></code> houses is <code>abs(i - j)</code>, where <code>abs(x)</code> is the <strong>absolute value</strong> of <code>x</code>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/10/31/eg1.png\" style=\"width: 610px; height: 84px;\" />\n<pre>\n<strong>Input:</strong> colors = [<u><strong>1</strong></u>,1,1,<strong><u>6</u></strong>,1,1,1]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> In the above image, color 1 is blue, and color 6 is red.\nThe furthest two houses with different colors are house 0 and house 3.\nHouse 0 has color 1, and house 3 has color 6. The distance between them is abs(0 - 3) = 3.\nNote that houses 3 and 6 can also produce the optimal answer.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/10/31/eg2.png\" style=\"width: 426px; height: 84px;\" />\n<pre>\n<strong>Input:</strong> colors = [<u><strong>1</strong></u>,8,3,8,<u><strong>3</strong></u>]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> In the above image, color 1 is blue, color 8 is yellow, and color 3 is green.\nThe furthest two houses with different colors are house 0 and house 4.\nHouse 0 has color 1, and house 4 has color 3. The distance between them is abs(0 - 4) = 4.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> colors = [<u><strong>0</strong></u>,<strong><u>1</u></strong>]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The furthest two houses with different colors are house 0 and house 1.\nHouse 0 has color 0, and house 1 has color 1. The distance between them is abs(0 - 1) = 1.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == colors.length</code></li>\n\t<li><code>2 <= n <= 100</code></li>\n\t<li><code>0 <= colors[i] <= 100</code></li>\n\t<li>Test data are generated such that <strong>at least</strong> two houses have different colors.</li>\n</ul>\n",
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"The constraints are small. Can you try the combination of every two houses?",
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"Greedily, the maximum distance will come from either the pair of the leftmost house and possibly some house on the right with a different color, or the pair of the rightmost house and possibly some house on the left with a different color."
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