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": "2316",
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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 class=\"example\">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 class=\"example\">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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"exampleTestcases": "[2,4,1,1,6,5]\n[6,6,5,5,4,1]",
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"categoryTitle": "Algorithms",
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"For each index, could you find the closest non-equal neighbors?",
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"Ensure that adjacent indices that are part of the same hill or valley are not double-counted."
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