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"questionId": "1042",
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"categoryTitle": "Algorithms",
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"title": "Minimum Cost to Merge Stones",
"titleSlug": "minimum-cost-to-merge-stones",
"content": "<p>There are <code>n</code> piles of <code>stones</code> arranged in a row. The <code>i<sup>th</sup></code> pile has <code>stones[i]</code> stones.</p>\n\n<p>A move consists of merging exactly <code>k</code> consecutive piles into one pile, and the cost of this move is equal to the total number of stones in these <code>k</code> piles.</p>\n\n<p>Return <em>the minimum cost to merge all piles of stones into one pile</em>. If it is impossible, return <code>-1</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> stones = [3,2,4,1], k = 2\n<strong>Output:</strong> 20\n<strong>Explanation:</strong> We start with [3, 2, 4, 1].\nWe merge [3, 2] for a cost of 5, and we are left with [5, 4, 1].\nWe merge [4, 1] for a cost of 5, and we are left with [5, 5].\nWe merge [5, 5] for a cost of 10, and we are left with [10].\nThe total cost was 20, and this is the minimum possible.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> stones = [3,2,4,1], k = 3\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> After any merge operation, there are 2 piles left, and we can&#39;t merge anymore. So the task is impossible.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> stones = [3,5,1,2,6], k = 3\n<strong>Output:</strong> 25\n<strong>Explanation:</strong> We start with [3, 5, 1, 2, 6].\nWe merge [5, 1, 2] for a cost of 8, and we are left with [3, 8, 6].\nWe merge [3, 8, 6] for a cost of 17, and we are left with [17].\nThe total cost was 25, and this is the minimum possible.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == stones.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 30</code></li>\n\t<li><code>1 &lt;= stones[i] &lt;= 100</code></li>\n\t<li><code>2 &lt;= k &lt;= 30</code></li>\n</ul>\n",
"translatedTitle": "合并石头的最低成本",
"translatedContent": "<p>有 <code>N</code> 堆石头排成一排,第 <code>i</code> 堆中有&nbsp;<code>stones[i]</code>&nbsp;块石头。</p>\n\n<p>每次<em>移动move</em>需要将<strong>连续的</strong>&nbsp;<code>K</code>&nbsp;堆石头合并为一堆,而这个移动的成本为这&nbsp;<code>K</code>&nbsp;堆石头的总数。</p>\n\n<p>找出把所有石头合并成一堆的最低成本。如果不可能,返回 <code>-1</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>stones = [3,2,4,1], K = 2\n<strong>输出:</strong>20\n<strong>解释:</strong>\n从 [3, 2, 4, 1] 开始。\n合并 [3, 2],成本为 5剩下 [5, 4, 1]。\n合并 [4, 1],成本为 5剩下 [5, 5]。\n合并 [5, 5],成本为 10剩下 [10]。\n总成本 20这是可能的最小值。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>stones = [3,2,4,1], K = 3\n<strong>输出:</strong>-1\n<strong>解释:</strong>任何合并操作后,都会剩下 2 堆,我们无法再进行合并。所以这项任务是不可能完成的。.\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><strong>输入:</strong>stones = [3,5,1,2,6], K = 3\n<strong>输出:</strong>25\n<strong>解释:</strong>\n从 [3, 5, 1, 2, 6] 开始。\n合并 [5, 1, 2],成本为 8剩下 [3, 8, 6]。\n合并 [3, 8, 6],成本为 17剩下 [17]。\n总成本 25这是可能的最小值。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= stones.length &lt;= 30</code></li>\n\t<li><code>2 &lt;= K &lt;= 30</code></li>\n\t<li><code>1 &lt;= stones[i] &lt;= 100</code></li>\n</ul>\n",
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