leetcode-problemset/leetcode-cn/originData/stone-game-vii.json

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            "questionId": "1808",
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            "title": "Stone Game VII",
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            "content": "<p>Alice and Bob take turns playing a game, with <strong>Alice starting first</strong>.</p>\n\n<p>There are <code>n</code> stones arranged in a row. On each player&#39;s turn, they can <strong>remove</strong> either the leftmost stone or the rightmost stone from the row and receive points equal to the <strong>sum</strong> of the remaining stones&#39; values in the row. The winner is the one with the higher score when there are no stones left to remove.</p>\n\n<p>Bob found that he will always lose this game (poor Bob, he always loses), so he decided to <strong>minimize the score&#39;s difference</strong>. Alice&#39;s goal is to <strong>maximize the difference</strong> in the score.</p>\n\n<p>Given an array of integers <code>stones</code> where <code>stones[i]</code> represents the value of the <code>i<sup>th</sup></code> stone <strong>from the left</strong>, return <em>the <strong>difference</strong> in Alice and Bob&#39;s score if they both play <strong>optimally</strong>.</em></p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> stones = [5,3,1,4,2]\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> \n- Alice removes 2 and gets 5 + 3 + 1 + 4 = 13 points. Alice = 13, Bob = 0, stones = [5,3,1,4].\n- Bob removes 5 and gets 3 + 1 + 4 = 8 points. Alice = 13, Bob = 8, stones = [3,1,4].\n- Alice removes 3 and gets 1 + 4 = 5 points. Alice = 18, Bob = 8, stones = [1,4].\n- Bob removes 1 and gets 4 points. Alice = 18, Bob = 12, stones = [4].\n- Alice removes 4 and gets 0 points. Alice = 18, Bob = 12, stones = [].\nThe score difference is 18 - 12 = 6.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> stones = [7,90,5,1,100,10,10,2]\n<strong>Output:</strong> 122</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>2 &lt;= n &lt;= 1000</code></li>\n\t<li><code>1 &lt;= stones[i] &lt;= 1000</code></li>\n</ul>\n",
            "translatedTitle": "石子游戏 VII",
            "translatedContent": "<p>石子游戏中，爱丽丝和鲍勃轮流进行自己的回合，<strong>爱丽丝先开始</strong> 。</p>\n\n<p>有 <code>n</code> 块石子排成一排。每个玩家的回合中，可以从行中 <strong>移除</strong> 最左边的石头或最右边的石头，并获得与该行中剩余石头值之 <strong>和</strong> 相等的得分。当没有石头可移除时，得分较高者获胜。</p>\n\n<p>鲍勃发现他总是输掉游戏（可怜的鲍勃，他总是输），所以他决定尽力 <strong>减小得分的差值</strong> 。爱丽丝的目标是最大限度地 <strong>扩大得分的差值</strong> 。</p>\n\n<p>给你一个整数数组 <code>stones</code> ，其中 <code>stones[i]</code> 表示 <strong>从左边开始</strong> 的第 <code>i</code> 个石头的值，如果爱丽丝和鲍勃都 <strong>发挥出最佳水平</strong> ，请返回他们 <strong>得分的差值</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>stones = [5,3,1,4,2]\n<strong>输出：</strong>6\n<strong>解释：</strong>\n- 爱丽丝移除 2 ，得分 5 + 3 + 1 + 4 = 13 。游戏情况：爱丽丝 = 13 ，鲍勃 = 0 ，石子 = [5,3,1,4] 。\n- 鲍勃移除 5 ，得分 3 + 1 + 4 = 8 。游戏情况：爱丽丝 = 13 ，鲍勃 = 8 ，石子 = [3,1,4] 。\n- 爱丽丝移除 3 ，得分 1 + 4 = 5 。游戏情况：爱丽丝 = 18 ，鲍勃 = 8 ，石子 = [1,4] 。\n- 鲍勃移除 1 ，得分 4 。游戏情况：爱丽丝 = 18 ，鲍勃 = 12 ，石子 = [4] 。\n- 爱丽丝移除 4 ，得分 0 。游戏情况：爱丽丝 = 18 ，鲍勃 = 12 ，石子 = [] 。\n得分的差值 18 - 12 = 6 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>stones = [7,90,5,1,100,10,10,2]\n<strong>输出：</strong>122</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>n == stones.length</code></li>\n\t<li><code>2 <= n <= 1000</code></li>\n\t<li><code>1 <= stones[i] <= 1000</code></li>\n</ul>\n",
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