leetcode-problemset/leetcode-cn/originData/sum-game.json

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            "title": "Sum Game",
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            "content": "<p>Alice and Bob take turns playing a game, with <strong>Alice</strong><strong>&nbsp;starting first</strong>.</p>\n\n<p>You are given a string <code>num</code> of <strong>even length</strong> consisting of digits and <code>&#39;?&#39;</code> characters. On each turn, a player will do the following if there is still at least one <code>&#39;?&#39;</code> in <code>num</code>:</p>\n\n<ol>\n\t<li>Choose an index <code>i</code> where <code>num[i] == &#39;?&#39;</code>.</li>\n\t<li>Replace <code>num[i]</code> with any digit between <code>&#39;0&#39;</code> and <code>&#39;9&#39;</code>.</li>\n</ol>\n\n<p>The game ends when there are no more <code>&#39;?&#39;</code> characters in <code>num</code>.</p>\n\n<p>For Bob&nbsp;to win, the sum of the digits in the first half of <code>num</code> must be <strong>equal</strong> to the sum of the digits in the second half. For Alice&nbsp;to win, the sums must <strong>not be equal</strong>.</p>\n\n<ul>\n\t<li>For example, if the game ended with <code>num = &quot;243801&quot;</code>, then Bob&nbsp;wins because <code>2+4+3 = 8+0+1</code>. If the game ended with <code>num = &quot;243803&quot;</code>, then Alice&nbsp;wins because <code>2+4+3 != 8+0+3</code>.</li>\n</ul>\n\n<p>Assuming Alice and Bob play <strong>optimally</strong>, return <code>true</code> <em>if Alice will win and </em><code>false</code> <em>if Bob will win</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> num = &quot;5023&quot;\n<strong>Output:</strong> false\n<strong>Explanation:</strong> There are no moves to be made.\nThe sum of the first half is equal to the sum of the second half: 5 + 0 = 2 + 3.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> num = &quot;25??&quot;\n<strong>Output:</strong> true\n<strong>Explanation: </strong>Alice can replace one of the &#39;?&#39;s with &#39;9&#39; and it will be impossible for Bob to make the sums equal.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> num = &quot;?3295???&quot;\n<strong>Output:</strong> false\n<strong>Explanation:</strong> It can be proven that Bob will always win. One possible outcome is:\n- Alice replaces the first &#39;?&#39; with &#39;9&#39;. num = &quot;93295???&quot;.\n- Bob replaces one of the &#39;?&#39; in the right half with &#39;9&#39;. num = &quot;932959??&quot;.\n- Alice replaces one of the &#39;?&#39; in the right half with &#39;2&#39;. num = &quot;9329592?&quot;.\n- Bob replaces the last &#39;?&#39; in the right half with &#39;7&#39;. num = &quot;93295927&quot;.\nBob wins because 9 + 3 + 2 + 9 = 5 + 9 + 2 + 7.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= num.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>num.length</code> is <strong>even</strong>.</li>\n\t<li><code>num</code> consists of only digits and <code>&#39;?&#39;</code>.</li>\n</ul>\n",
            "translatedTitle": "求和游戏",
            "translatedContent": "<p>Alice 和 Bob 玩一个游戏，两人轮流行动，<strong>Alice 先手</strong> 。</p>\n\n<p>给你一个 <strong>偶数长度</strong> 的字符串 <code>num</code> ，每一个字符为数字字符或者 <code>'?'</code> 。每一次操作中，如果 <code>num</code> 中至少有一个 <code>'?'</code> ，那么玩家可以执行以下操作：</p>\n\n<ol>\n\t<li>选择一个下标 <code>i</code> 满足 <code>num[i] == '?'</code> 。</li>\n\t<li>将 <code>num[i]</code> 用 <code>'0'</code> 到 <code>'9'</code> 之间的一个数字字符替代。</li>\n</ol>\n\n<p>当 <code>num</code> 中没有<span style=\"\"> </span><code>'?'</code> 时，游戏结束。</p>\n\n<p>Bob 获胜的条件是 <code>num</code> 中前一半数字的和 <strong>等于</strong> 后一半数字的和。Alice 获胜的条件是前一半的和与后一半的和 <strong>不相等</strong> 。</p>\n\n<ul>\n\t<li>比方说，游戏结束时 <code>num = \"243801\"</code> ，那么 Bob 获胜，因为 <code>2+4+3 = 8+0+1</code> 。如果游戏结束时 <code>num = \"243803\"</code> ，那么 Alice 获胜，因为 <code>2+4+3 != 8+0+3</code> 。</li>\n</ul>\n\n<p>在 Alice 和 Bob 都采取 <strong>最优</strong> 策略的前提下，如果 Alice 获胜，请返回 <code>true</code> ，如果 Bob 获胜，请返回 <code>false</code> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>num = \"5023\"\n<b>输出：</b>false\n<b>解释：</b>num 中没有 '?' ，没法进行任何操作。\n前一半的和等于后一半的和：5 + 0 = 2 + 3 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>num = \"25??\"\n<b>输出：</b>true\n<strong>解释：</strong>Alice 可以将两个 '?' 中的一个替换为 '9' ，Bob 无论如何都无法使前一半的和等于后一半的和。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<b>输入：</b>num = \"?3295???\"\n<b>输出：</b>false\n<b>解释：</b>Bob 总是能赢。一种可能的结果是：\n- Alice 将第一个 '?' 用 '9' 替换。num = \"93295???\" 。\n- Bob 将后面一半中的一个 '?' 替换为 '9' 。num = \"932959??\" 。\n- Alice 将后面一半中的一个 '?' 替换为 '2' 。num = \"9329592?\" 。\n- Bob 将后面一半中最后一个 '?' 替换为 '7' 。num = \"93295927\" 。\nBob 获胜，因为 9 + 3 + 2 + 9 = 5 + 9 + 2 + 7 。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 <= num.length <= 10<sup>5</sup></code></li>\n\t<li><code>num.length</code> 是 <strong>偶数</strong> 。</li>\n\t<li><code>num</code> 只包含数字字符和 <code>'?'</code> 。</li>\n</ul>\n",
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