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leetcode-problemset/leetcode-cn/originData/minimum-sum-of-mountain-triplets-ii.json
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"categoryTitle": "Algorithms",
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"title": "Minimum Sum of Mountain Triplets II",
"titleSlug": "minimum-sum-of-mountain-triplets-ii",
"content": "<p>You are given a <strong>0-indexed</strong> array <code>nums</code> of integers.</p>\n\n<p>A triplet of indices <code>(i, j, k)</code> is a <strong>mountain</strong> if:</p>\n\n<ul>\n\t<li><code>i &lt; j &lt; k</code></li>\n\t<li><code>nums[i] &lt; nums[j]</code> and <code>nums[k] &lt; nums[j]</code></li>\n</ul>\n\n<p>Return <em>the <strong>minimum possible sum</strong> of a mountain triplet of</em> <code>nums</code>. <em>If no such triplet exists, return</em> <code>-1</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [8,6,1,5,3]\n<strong>Output:</strong> 9\n<strong>Explanation:</strong> Triplet (2, 3, 4) is a mountain triplet of sum 9 since: \n- 2 &lt; 3 &lt; 4\n- nums[2] &lt; nums[3] and nums[4] &lt; nums[3]\nAnd the sum of this triplet is nums[2] + nums[3] + nums[4] = 9. It can be shown that there are no mountain triplets with a sum of less than 9.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [5,4,8,7,10,2]\n<strong>Output:</strong> 13\n<strong>Explanation:</strong> Triplet (1, 3, 5) is a mountain triplet of sum 13 since: \n- 1 &lt; 3 &lt; 5\n- nums[1] &lt; nums[3] and nums[5] &lt; nums[3]\nAnd the sum of this triplet is nums[1] + nums[3] + nums[5] = 13. It can be shown that there are no mountain triplets with a sum of less than 13.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [6,5,4,3,4,5]\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> It can be shown that there are no mountain triplets in nums.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>8</sup></code></li>\n</ul>\n",
"translatedTitle": "元素和最小的山形三元组 II",
"translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始的整数数组 <code>nums</code> 。</p>\n\n<p>如果下标三元组 <code>(i, j, k)</code> 满足下述全部条件,则认为它是一个 <strong>山形三元组</strong> </p>\n\n<ul>\n\t<li><code>i &lt; j &lt; k</code></li>\n\t<li><code>nums[i] &lt; nums[j]</code> 且 <code>nums[k] &lt; nums[j]</code></li>\n</ul>\n\n<p>请你找出 <code>nums</code> 中 <strong>元素和最小</strong> 的山形三元组,并返回其 <strong>元素和</strong> 。如果不存在满足条件的三元组,返回 <code>-1</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [8,6,1,5,3]\n<strong>输出:</strong>9\n<strong>解释:</strong>三元组 (2, 3, 4) 是一个元素和等于 9 的山形三元组,因为: \n- 2 &lt; 3 &lt; 4\n- nums[2] &lt; nums[3] 且 nums[4] &lt; nums[3]\n这个三元组的元素和等于 nums[2] + nums[3] + nums[4] = 9 。可以证明不存在元素和小于 9 的山形三元组。\n</pre>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [5,4,8,7,10,2]\n<strong>输出:</strong>13\n<strong>解释:</strong>三元组 (1, 3, 5) 是一个元素和等于 13 的山形三元组,因为: \n- 1 &lt; 3 &lt; 5 \n- nums[1] &lt; nums[3] 且 nums[5] &lt; nums[3]\n这个三元组的元素和等于 nums[1] + nums[3] + nums[5] = 13 。可以证明不存在元素和小于 13 的山形三元组。\n</pre>\n\n<p><strong class=\"example\">示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [6,5,4,3,4,5]\n<strong>输出:</strong>-1\n<strong>解释:</strong>可以证明 nums 中不存在山形三元组。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>8</sup></code></li>\n</ul>\n",
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