mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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165 lines
22 KiB
JSON
165 lines
22 KiB
JSON
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"title": "Count Hills and Valleys in an Array",
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"content": "<p>You are given a <strong>0-indexed</strong> integer array <code>nums</code>. An index <code>i</code> is part of a <strong>hill</strong> in <code>nums</code> if the closest non-equal neighbors of <code>i</code> are smaller than <code>nums[i]</code>. Similarly, an index <code>i</code> is part of a <strong>valley</strong> in <code>nums</code> if the closest non-equal neighbors of <code>i</code> are larger than <code>nums[i]</code>. Adjacent indices <code>i</code> and <code>j</code> are part of the <strong>same</strong> hill or valley if <code>nums[i] == nums[j]</code>.</p>\n\n<p>Note that for an index to be part of a hill or valley, it must have a non-equal neighbor on <strong>both</strong> the left and right of the index.</p>\n\n<p>Return <i>the number of hills and valleys in </i><code>nums</code>.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,4,1,1,6,5]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong>\nAt index 0: There is no non-equal neighbor of 2 on the left, so index 0 is neither a hill nor a valley.\nAt index 1: The closest non-equal neighbors of 4 are 2 and 1. Since 4 > 2 and 4 > 1, index 1 is a hill. \nAt index 2: The closest non-equal neighbors of 1 are 4 and 6. Since 1 < 4 and 1 < 6, index 2 is a valley.\nAt index 3: The closest non-equal neighbors of 1 are 4 and 6. Since 1 < 4 and 1 < 6, index 3 is a valley, but note that it is part of the same valley as index 2.\nAt index 4: The closest non-equal neighbors of 6 are 1 and 5. Since 6 > 1 and 6 > 5, index 4 is a hill.\nAt index 5: There is no non-equal neighbor of 5 on the right, so index 5 is neither a hill nor a valley. \nThere are 3 hills and valleys so we return 3.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [6,6,5,5,4,1]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong>\nAt index 0: There is no non-equal neighbor of 6 on the left, so index 0 is neither a hill nor a valley.\nAt index 1: There is no non-equal neighbor of 6 on the left, so index 1 is neither a hill nor a valley.\nAt index 2: The closest non-equal neighbors of 5 are 6 and 4. Since 5 < 6 and 5 > 4, index 2 is neither a hill nor a valley.\nAt index 3: The closest non-equal neighbors of 5 are 6 and 4. Since 5 < 6 and 5 > 4, index 3 is neither a hill nor a valley.\nAt index 4: The closest non-equal neighbors of 4 are 5 and 1. Since 4 < 5 and 4 > 1, index 4 is neither a hill nor a valley.\nAt index 5: There is no non-equal neighbor of 1 on the right, so index 5 is neither a hill nor a valley.\nThere are 0 hills and valleys so we return 0.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 <= nums.length <= 100</code></li>\n\t<li><code>1 <= nums[i] <= 100</code></li>\n</ul>\n",
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"translatedTitle": "统计数组中峰和谷的数量",
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"translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始的整数数组 <code>nums</code> 。如果两侧距 <code>i</code> 最近的不相等邻居的值均小于 <code>nums[i]</code> ，则下标 <code>i</code> 是 <code>nums</code> 中，某个峰的一部分。类似地，如果两侧距 <code>i</code> 最近的不相等邻居的值均大于 <code>nums[i]</code> ，则下标 <code>i</code> 是 <code>nums</code> 中某个谷的一部分。对于相邻下标 <code>i</code> 和 <code>j</code> ，如果 <code>nums[i] == nums[j]</code> ， 则认为这两下标属于 <strong>同一个</strong> 峰或谷。</p>\n\n<p>注意，要使某个下标所做峰或谷的一部分，那么它左右两侧必须 <strong>都</strong> 存在不相等邻居。</p>\n\n<p>返回 <code>nums</code> 中峰和谷的数量。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [2,4,1,1,6,5]\n<strong>输出：</strong>3\n<strong>解释：</strong>\n在下标 0 ：由于 2 的左侧不存在不相等邻居，所以下标 0 既不是峰也不是谷。\n在下标 1 ：4 的最近不相等邻居是 2 和 1 。由于 4 > 2 且 4 > 1 ，下标 1 是一个峰。\n在下标 2 ：1 的最近不相等邻居是 4 和 6 。由于 1 < 4 且 1 < 6 ，下标 2 是一个谷。\n在下标 3 ：1 的最近不相等邻居是 4 和 6 。由于 1 < 4 且 1 < 6 ，下标 3 符合谷的定义，但需要注意它和下标 2 是同一个谷的一部分。\n在下标 4 ：6 的最近不相等邻居是 1 和 5 。由于 6 > 1 且 6 > 5 ，下标 4 是一个峰。\n在下标 5 ：由于 5 的右侧不存在不相等邻居，所以下标 5 既不是峰也不是谷。\n共有 3 个峰和谷，所以返回 3 。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>nums = [6,6,5,5,4,1]\n<strong>输出：</strong>0\n<strong>解释：</strong>\n在下标 0 ：由于 6 的左侧不存在不相等邻居，所以下标 0 既不是峰也不是谷。\n在下标 1 ：由于 6 的左侧不存在不相等邻居，所以下标 1 既不是峰也不是谷。\n在下标 2 ：5 的最近不相等邻居是 6 和 4 。由于 5 < 6 且 5 > 4 ，下标 2 既不是峰也不是谷。\n在下标 3 ：5 的最近不相等邻居是 6 和 4 。由于 5 < 6 且 5 > 4 ，下标 3 既不是峰也不是谷。\n在下标 4 ：4 的最近不相等邻居是 5 和 1 。由于 4 < 5 且 4 > 1 ，下标 4 既不是峰也不是谷。\n在下标 5 ：由于 1 的右侧不存在不相等邻居，所以下标 5 既不是峰也不是谷。\n共有 0 个峰和谷，所以返回 0 。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>3 <= nums.length <= 100</code></li>\n\t<li><code>1 <= nums[i] <= 100</code></li>\n</ul>\n",
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\\u5982\\u679c\\u60a8\\u9700\\u8981\\u4f7f\\u7528\\u5176\\u4ed6\\u5e93\\u51fd\\u6570\\uff0c\\u8bf7\\u81ea\\u884c\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n<p>\\u5982\\u9700\\u4f7f\\u7528 Map\\/TreeMap \\u6570\\u636e\\u7ed3\\u6784\\uff0c\\u60a8\\u53ef\\u4f7f\\u7528 <a href=\\\"http:\\/\\/www.grantjenks.com\\/docs\\/sortedcontainers\\/\\\" target=\\\"_blank\\\">sortedcontainers<\\/a> \\u5e93\\u3002<\\/p>\"],\"scala\":[\"Scala\",\"<p>\\u7248\\u672c\\uff1a<code>Scala 2.13<\\/code><\\/p>\"],\"kotlin\":[\"Kotlin\",\"<p>\\u7248\\u672c\\uff1a<code>Kotlin 1.3.10<\\/code><\\/p>\"],\"rust\":[\"Rust\",\"<p>\\u7248\\u672c\\uff1a<code>rust 1.58.1<\\/code><\\/p>\\r\\n\\r\\n<p>\\u652f\\u6301 crates.io \\u7684 <a href=\\\"https:\\/\\/crates.io\\/crates\\/rand\\\" target=\\\"_blank\\\">rand<\\/a><\\/p>\"],\"php\":[\"PHP\",\"<p><code>PHP 8.1<\\/code>.<\\/p>\\r\\n\\r\\n<p>With bcmath module.<\\/p>\"],\"typescript\":[\"TypeScript\",\"<p>TypeScript 4.5.4<\\/p>\\r\\n\\r\\n<p>Compile Options: --alwaysStrict 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