leetcode-problemset/leetcode-cn/originData/divide-players-into-teams-of-equal-skill.json

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            "questionId": "2581",
            "questionFrontendId": "6254",
            "categoryTitle": "Algorithms",
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            "title": "Divide Players Into Teams of Equal Skill",
            "titleSlug": "divide-players-into-teams-of-equal-skill",
            "content": "<p>You are given a positive integer array <code>skill</code> of <strong>even</strong> length <code>n</code> where <code>skill[i]</code> denotes the skill of the <code>i<sup>th</sup></code> player. Divide the players into <code>n / 2</code> teams of size <code>2</code> such that the total skill of each team is <strong>equal</strong>.</p>\n\n<p>The <strong>chemistry</strong> of a team is equal to the <strong>product</strong> of the skills of the players on that team.</p>\n\n<p>Return <em>the sum of the <strong>chemistry</strong> of all the teams, or return </em><code>-1</code><em> if there is no way to divide the players into teams such that the total skill of each team is equal.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> skill = [3,2,5,1,3,4]\n<strong>Output:</strong> 22\n<strong>Explanation:</strong> \nDivide the players into the following teams: (1, 5), (2, 4), (3, 3), where each team has a total skill of 6.\nThe sum of the chemistry of all the teams is: 1 * 5 + 2 * 4 + 3 * 3 = 5 + 8 + 9 = 22.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> skill = [3,4]\n<strong>Output:</strong> 12\n<strong>Explanation:</strong> \nThe two players form a team with a total skill of 7.\nThe chemistry of the team is 3 * 4 = 12.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> skill = [1,1,2,3]\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> \nThere is no way to divide the players into teams such that the total skill of each team is equal.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= skill.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>skill.length</code> is even.</li>\n\t<li><code>1 &lt;= skill[i] &lt;= 1000</code></li>\n</ul>\n",
            "translatedTitle": "划分技能点相等的团队",
            "translatedContent": "<p>给你一个正整数数组 <code>skill</code> ，数组长度为 <strong>偶数</strong> <code>n</code> ，其中 <code>skill[i]</code> 表示第 <code>i</code> 个玩家的技能点。将所有玩家分成 <code>n / 2</code> 个 <code>2</code> 人团队，使每一个团队的技能点之和 <strong>相等</strong> 。</p>\n\n<p>团队的 <strong>化学反应</strong> 等于团队中玩家的技能点 <strong>乘积</strong> 。</p>\n\n<p>返回所有团队的 <strong>化学反应</strong> 之和，如果无法使每个团队的技能点之和相等，则返回 <code>-1</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>skill = [3,2,5,1,3,4]\n<strong>输出：</strong>22\n<strong>解释：</strong>\n将玩家分成 3 个团队 (1, 5), (2, 4), (3, 3) ，每个团队的技能点之和都是 6 。\n所有团队的化学反应之和是 1 * 5 + 2 * 4 + 3 * 3 = 5 + 8 + 9 = 22 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>skill = [3,4]\n<strong>输出：</strong>12\n<strong>解释：</strong>\n两个玩家形成一个团队，技能点之和是 7 。\n团队的化学反应是 3 * 4 = 12 。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>skill = [1,1,2,3]\n<strong>输出：</strong>-1\n<strong>解释：</strong>\n无法将玩家分成每个团队技能点都相等的若干个 2 人团队。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= skill.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>skill.length</code> 是偶数</li>\n\t<li><code>1 &lt;= skill[i] &lt;= 1000</code></li>\n</ul>\n",
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                "Try sorting the skill array.",
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