leetcode-problemset/leetcode-cn/originData/maximum-score-from-removing-stones.json

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            "title": "Maximum Score From Removing Stones",
            "titleSlug": "maximum-score-from-removing-stones",
            "content": "<p>You are playing a solitaire game with <strong>three piles</strong> of stones of sizes <code>a</code>​​​​​​, <code>b</code>,​​​​​​ and <code>c</code>​​​​​​ respectively. Each turn you choose two <strong>different non-empty </strong>piles, take one stone from each, and add <code>1</code> point to your score. The game stops when there are <strong>fewer than two non-empty</strong> piles (meaning there are no more available moves).</p>\n\n<p>Given three integers <code>a</code>​​​​​, <code>b</code>,​​​​​ and <code>c</code>​​​​​, return <em>the</em> <strong><em>maximum</em> </strong><em><strong>score</strong> you can get.</em></p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> a = 2, b = 4, c = 6\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> The starting state is (2, 4, 6). One optimal set of moves is:\n- Take from 1st and 3rd piles, state is now (1, 4, 5)\n- Take from 1st and 3rd piles, state is now (0, 4, 4)\n- Take from 2nd and 3rd piles, state is now (0, 3, 3)\n- Take from 2nd and 3rd piles, state is now (0, 2, 2)\n- Take from 2nd and 3rd piles, state is now (0, 1, 1)\n- Take from 2nd and 3rd piles, state is now (0, 0, 0)\nThere are fewer than two non-empty piles, so the game ends. Total: 6 points.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> a = 4, b = 4, c = 6\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> The starting state is (4, 4, 6). One optimal set of moves is:\n- Take from 1st and 2nd piles, state is now (3, 3, 6)\n- Take from 1st and 3rd piles, state is now (2, 3, 5)\n- Take from 1st and 3rd piles, state is now (1, 3, 4)\n- Take from 1st and 3rd piles, state is now (0, 3, 3)\n- Take from 2nd and 3rd piles, state is now (0, 2, 2)\n- Take from 2nd and 3rd piles, state is now (0, 1, 1)\n- Take from 2nd and 3rd piles, state is now (0, 0, 0)\nThere are fewer than two non-empty piles, so the game ends. Total: 7 points.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> a = 1, b = 8, c = 8\n<strong>Output:</strong> 8\n<strong>Explanation:</strong> One optimal set of moves is to take from the 2nd and 3rd piles for 8 turns until they are empty.\nAfter that, there are fewer than two non-empty piles, so the game ends.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= a, b, c &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "移除石子的最大得分",
            "translatedContent": "<p>你正在玩一个单人游戏，面前放置着大小分别为 <code>a</code>​​​​​​、<code>b</code> 和 <code>c</code>​​​​​​ 的 <strong>三堆</strong> 石子。</p>\n\n<p>每回合你都要从两个 <strong>不同的非空堆</strong> 中取出一颗石子，并在得分上加 <code>1</code> 分。当存在 <strong>两个或更多</strong> 的空堆时，游戏停止。</p>\n\n<p>给你三个整数 <code>a</code> 、<code>b</code> 和 <code>c</code> ，返回可以得到的 <strong>最大分数</strong> 。</p>\n \n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>a = 2, b = 4, c = 6\n<strong>输出：</strong>6\n<strong>解释：</strong>石子起始状态是 (2, 4, 6) ，最优的一组操作是：\n- 从第一和第三堆取，石子状态现在是 (1, 4, 5)\n- 从第一和第三堆取，石子状态现在是 (0, 4, 4)\n- 从第二和第三堆取，石子状态现在是 (0, 3, 3)\n- 从第二和第三堆取，石子状态现在是 (0, 2, 2)\n- 从第二和第三堆取，石子状态现在是 (0, 1, 1)\n- 从第二和第三堆取，石子状态现在是 (0, 0, 0)\n总分：6 分 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>a = 4, b = 4, c = 6\n<strong>输出：</strong>7\n<strong>解释：</strong>石子起始状态是 (4, 4, 6) ，最优的一组操作是：\n- 从第一和第二堆取，石子状态现在是 (3, 3, 6)\n- 从第一和第三堆取，石子状态现在是 (2, 3, 5)\n- 从第一和第三堆取，石子状态现在是 (1, 3, 4)\n- 从第一和第三堆取，石子状态现在是 (0, 3, 3)\n- 从第二和第三堆取，石子状态现在是 (0, 2, 2)\n- 从第二和第三堆取，石子状态现在是 (0, 1, 1)\n- 从第二和第三堆取，石子状态现在是 (0, 0, 0)\n总分：7 分 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>a = 1, b = 8, c = 8\n<strong>输出：</strong>8\n<strong>解释：</strong>最优的一组操作是连续从第二和第三堆取 8 回合，直到将它们取空。\n注意，由于第二和第三堆已经空了，游戏结束，不能继续从第一堆中取石子。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= a, b, c <= 10<sup>5</sup></code></li>\n</ul>\n",
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