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"categoryTitle": "Algorithms",
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"title": "Stone Game V",
"titleSlug": "stone-game-v",
"content": "<p>There are several stones <strong>arranged in a row</strong>, and each stone has an associated value which is an integer given in the array <code>stoneValue</code>.</p>\n\n<p>In each round of the game, Alice divides the row into <strong>two non-empty rows</strong> (i.e. left row and right row), then Bob calculates the value of each row which is the sum of the values of all the stones in this row. Bob throws away the row which has the maximum value, and Alice&#39;s score increases by the value of the remaining row. If the value of the two rows are equal, Bob lets Alice decide which row will be thrown away. The next round starts with the remaining row.</p>\n\n<p>The game ends when there is only <strong>one stone remaining</strong>. Alice&#39;s is initially <strong>zero</strong>.</p>\n\n<p>Return <i>the maximum score that Alice can obtain</i>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> stoneValue = [6,2,3,4,5,5]\n<strong>Output:</strong> 18\n<strong>Explanation:</strong> In the first round, Alice divides the row to [6,2,3], [4,5,5]. The left row has the value 11 and the right row has value 14. Bob throws away the right row and Alice&#39;s score is now 11.\nIn the second round Alice divides the row to [6], [2,3]. This time Bob throws away the left row and Alice&#39;s score becomes 16 (11 + 5).\nThe last round Alice has only one choice to divide the row which is [2], [3]. Bob throws away the right row and Alice&#39;s score is now 18 (16 + 2). The game ends because only one stone is remaining in the row.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> stoneValue = [7,7,7,7,7,7,7]\n<strong>Output:</strong> 28\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> stoneValue = [4]\n<strong>Output:</strong> 0\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= stoneValue.length &lt;= 500</code></li>\n\t<li><code>1 &lt;= stoneValue[i] &lt;= 10<sup>6</sup></code></li>\n</ul>\n",
"translatedTitle": "石子游戏 V",
"translatedContent": "<p>几块石子 <strong>排成一行</strong> ,每块石子都有一个关联值,关联值为整数,由数组 <code>stoneValue</code> 给出。</p>\n\n<p>游戏中的每一轮Alice 会将这行石子分成两个 <strong>非空行</strong>左侧行和右侧行Bob 负责计算每一行的值即此行中所有石子的值的总和。Bob 会丢弃值最大的行Alice 的得分为剩下那行的值每轮累加。如果两行的值相等Bob 让 Alice 决定丢弃哪一行。下一轮从剩下的那一行开始。</p>\n\n<p>只 <strong>剩下一块石子</strong> 时游戏结束。Alice 的分数最初为 <strong><code>0</code></strong> 。</p>\n\n<p>返回 <strong>Alice 能够获得的最大分数</strong><em> 。</em></p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>stoneValue = [6,2,3,4,5,5]\n<strong>输出:</strong>18\n<strong>解释:</strong>在第一轮中Alice 将行划分为 [623][455] 。左行的值是 11 ,右行的值是 14 。Bob 丢弃了右行Alice 的分数现在是 11 。\n在第二轮中Alice 将行分成 [6][23] 。这一次 Bob 扔掉了左行Alice 的分数变成了 1611 + 5。\n最后一轮 Alice 只能将行分成 [2][3] 。Bob 扔掉右行Alice 的分数现在是 1816 + 2。游戏结束因为这行只剩下一块石头了。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>stoneValue = [7,7,7,7,7,7,7]\n<strong>输出:</strong>28\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><strong>输入:</strong>stoneValue = [4]\n<strong>输出:</strong>0\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= stoneValue.length &lt;= 500</code></li>\n\t<li><code>1 &lt;=&nbsp;stoneValue[i] &lt;= 10^6</code></li>\n</ul>\n",
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"hints": [
"We need to try all possible divisions for the current row to get the max score.",
"As calculating all possible divisions will lead us to calculate some sub-problems more than once, we need to think of dynamic programming."
],
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