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"question": {
"questionId": "1788",
"questionFrontendId": "1686",
"categoryTitle": "Algorithms",
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"title": "Stone Game VI",
"titleSlug": "stone-game-vi",
"content": "<p>Alice and Bob take turns playing a game, with Alice starting first.</p>\n\n<p>There are <code>n</code> stones in a pile. On each player&#39;s turn, they can <strong>remove</strong> a stone from the pile and receive points based on the stone&#39;s value. Alice and Bob may <strong>value the stones differently</strong>.</p>\n\n<p>You are given two integer arrays of length <code>n</code>, <code>aliceValues</code> and <code>bobValues</code>. Each <code>aliceValues[i]</code> and <code>bobValues[i]</code> represents how Alice and Bob, respectively, value the <code>i<sup>th</sup></code> stone.</p>\n\n<p>The winner is the person with the most points after all the stones are chosen. If both players have the same amount of points, the game results in a draw. Both players will play <strong>optimally</strong>.&nbsp;Both players know the other&#39;s values.</p>\n\n<p>Determine the result of the game, and:</p>\n\n<ul>\n\t<li>If Alice wins, return <code>1</code>.</li>\n\t<li>If Bob wins, return <code>-1</code>.</li>\n\t<li>If the game results in a draw, return <code>0</code>.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> aliceValues = [1,3], bobValues = [2,1]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong>\nIf Alice takes stone 1 (0-indexed) first, Alice will receive 3 points.\nBob can only choose stone 0, and will only receive 2 points.\nAlice wins.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> aliceValues = [1,2], bobValues = [3,1]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong>\nIf Alice takes stone 0, and Bob takes stone 1, they will both have 1 point.\nDraw.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> aliceValues = [2,4,3], bobValues = [1,6,7]\n<strong>Output:</strong> -1\n<strong>Explanation:</strong>\nRegardless of how Alice plays, Bob will be able to have more points than Alice.\nFor example, if Alice takes stone 1, Bob can take stone 2, and Alice takes stone 0, Alice will have 6 points to Bob&#39;s 7.\nBob wins.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == aliceValues.length == bobValues.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= aliceValues[i], bobValues[i] &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "石子游戏 VI",
"translatedContent": "<p>Alice 和 Bob 轮流玩一个游戏Alice 先手。</p>\n\n<p>一堆石子里总共有 <code>n</code> 个石子,轮到某个玩家时,他可以 <strong>移出</strong> 一个石子并得到这个石子的价值。Alice 和 Bob 对石子价值有 <strong>不一样的的评判标准</strong> 。双方都知道对方的评判标准。</p>\n\n<p>给你两个长度为 <code>n</code> 的整数数组 <code>aliceValues</code> 和 <code>bobValues</code> 。<code>aliceValues[i]</code> 和 <code>bobValues[i]</code> 分别表示 Alice 和 Bob 认为第 <code>i</code> 个石子的价值。</p>\n\n<p>所有石子都被取完后,得分较高的人为胜者。如果两个玩家得分相同,那么为平局。两位玩家都会采用 <b>最优策略</b> 进行游戏。</p>\n\n<p>请你推断游戏的结果,用如下的方式表示:</p>\n\n<ul>\n\t<li>如果 Alice 赢,返回 <code>1</code> 。</li>\n\t<li>如果 Bob 赢,返回 <code>-1</code> 。</li>\n\t<li>如果游戏平局,返回 <code>0</code> 。</li>\n</ul>\n\n<p> </p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<b>输入:</b>aliceValues = [1,3], bobValues = [2,1]\n<b>输出:</b>1\n<strong>解释:</strong>\n如果 Alice 拿石子 1 (下标从 0开始那么 Alice 可以得到 3 分。\nBob 只能选择石子 0 ,得到 2 分。\nAlice 获胜。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>aliceValues = [1,2], bobValues = [3,1]\n<b>输出:</b>0\n<strong>解释:</strong>\nAlice 拿石子 0 Bob 拿石子 1 ,他们得分都为 1 分。\n打平。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<b>输入:</b>aliceValues = [2,4,3], bobValues = [1,6,7]\n<b>输出:</b>-1\n<strong>解释:</strong>\n不管 Alice 怎么操作Bob 都可以得到比 Alice 更高的得分。\n比方说Alice 拿石子 1 Bob 拿石子 2 Alice 拿石子 0 Alice 会得到 6 分而 Bob 得分为 7 分。\nBob 会获胜。\n</pre>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n == aliceValues.length == bobValues.length</code></li>\n\t<li><code>1 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= aliceValues[i], bobValues[i] <= 100</code></li>\n</ul>\n",
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"When one takes the stone, they not only get the points, but they take them away from the other player too.",
"Greedily choose the stone with the maximum aliceValues[i] + bobValues[i]."
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