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"questionId": "2199",
"questionFrontendId": "2078",
"categoryTitle": "Algorithms",
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"title": "Two Furthest Houses With Different Colors",
"titleSlug": "two-furthest-houses-with-different-colors",
"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>&nbsp;</p>\n<p><strong class=\"example\">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 class=\"example\">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 class=\"example\">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>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n ==&nbsp;colors.length</code></li>\n\t<li><code>2 &lt;= n &lt;= 100</code></li>\n\t<li><code>0 &lt;= colors[i] &lt;= 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",
"translatedTitle": "两栋颜色不同且距离最远的房子",
"translatedContent": "<p>街上有 <code>n</code> 栋房子整齐地排成一列,每栋房子都粉刷上了漂亮的颜色。给你一个下标从 <strong>0</strong> 开始且长度为 <code>n</code> 的整数数组 <code>colors</code> ,其中 <code>colors[i]</code> 表示第&nbsp; <code>i</code> 栋房子的颜色。</p>\n\n<p>返回 <strong>两栋</strong> 颜色 <strong>不同</strong> 房子之间的 <strong>最大</strong> 距离。</p>\n\n<p>第 <code>i</code> 栋房子和第 <code>j</code> 栋房子之间的距离是 <code>abs(i - j)</code> ,其中 <code>abs(x)</code> 是 <code>x</code> 的绝对值。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/10/31/eg1.png\" style=\"width: 610px; height: 84px;\" /></p>\n\n<pre>\n<strong>输入:</strong>colors = [<strong><em>1</em></strong>,1,1,<em><strong>6</strong></em>,1,1,1]\n<strong>输出:</strong>3\n<strong>解释:</strong>上图中,颜色 1 标识成蓝色,颜色 6 标识成红色。\n两栋颜色不同且距离最远的房子是房子 0 和房子 3 。\n房子 0 的颜色是颜色 1 ,房子 3 的颜色是颜色 6 。两栋房子之间的距离是 abs(0 - 3) = 3 。\n注意房子 3 和房子 6 也可以产生最佳答案。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/10/31/eg2.png\" style=\"width: 426px; height: 84px;\" /></p>\n\n<pre>\n<strong>输入:</strong>colors = [<em><strong>1</strong></em>,8,3,8,<em><strong>3</strong></em>]\n<strong>输出:</strong>4\n<strong>解释:</strong>上图中,颜色 1 标识成蓝色,颜色 8 标识成黄色,颜色 3 标识成绿色。\n两栋颜色不同且距离最远的房子是房子 0 和房子 4 。\n房子 0 的颜色是颜色 1 ,房子 4 的颜色是颜色 3 。两栋房子之间的距离是 abs(0 - 4) = 4 。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>colors = [<em><strong>0</strong></em>,<em><strong>1</strong></em>]\n<strong>输出:</strong>1\n<strong>解释:</strong>两栋颜色不同且距离最远的房子是房子 0 和房子 1 。\n房子 0 的颜色是颜色 0 ,房子 1 的颜色是颜色 1 。两栋房子之间的距离是 abs(0 - 1) = 1 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n ==&nbsp;colors.length</code></li>\n\t<li><code>2 &lt;= n &lt;= 100</code></li>\n\t<li><code>0 &lt;= colors[i] &lt;= 100</code></li>\n\t<li>生成的测试数据满足 <strong>至少 </strong>存在 2 栋颜色不同的房子</li>\n</ul>\n",
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"The constraints are small. Can you try the combination of every two houses?",
"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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