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"categoryTitle": "Algorithms",
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"title": "Count Unhappy Friends",
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"content": "<p>You are given a list of&nbsp;<code>preferences</code>&nbsp;for&nbsp;<code>n</code>&nbsp;friends, where <code>n</code> is always <strong>even</strong>.</p>\n\n<p>For each person <code>i</code>,&nbsp;<code>preferences[i]</code>&nbsp;contains&nbsp;a list of friends&nbsp;<strong>sorted</strong> in the <strong>order of preference</strong>. In other words, a friend earlier in the list is more preferred than a friend later in the list.&nbsp;Friends in&nbsp;each list are&nbsp;denoted by integers from <code>0</code> to <code>n-1</code>.</p>\n\n<p>All the friends are divided into pairs.&nbsp;The pairings are&nbsp;given in a list&nbsp;<code>pairs</code>,&nbsp;where <code>pairs[i] = [x<sub>i</sub>, y<sub>i</sub>]</code> denotes <code>x<sub>i</sub></code>&nbsp;is paired with <code>y<sub>i</sub></code> and <code>y<sub>i</sub></code> is paired with <code>x<sub>i</sub></code>.</p>\n\n<p>However, this pairing may cause some of the friends to be unhappy.&nbsp;A friend <code>x</code>&nbsp;is unhappy if <code>x</code>&nbsp;is paired with <code>y</code>&nbsp;and there exists a friend <code>u</code>&nbsp;who&nbsp;is paired with <code>v</code>&nbsp;but:</p>\n\n<ul>\n\t<li><code>x</code>&nbsp;prefers <code>u</code>&nbsp;over <code>y</code>,&nbsp;and</li>\n\t<li><code>u</code>&nbsp;prefers <code>x</code>&nbsp;over <code>v</code>.</li>\n</ul>\n\n<p>Return <em>the number of unhappy friends</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 4, preferences = [[1, 2, 3], [3, 2, 0], [3, 1, 0], [1, 2, 0]], pairs = [[0, 1], [2, 3]]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong>\nFriend 1 is unhappy because:\n- 1 is paired with 0 but prefers 3 over 0, and\n- 3 prefers 1 over 2.\nFriend 3 is unhappy because:\n- 3 is paired with 2 but prefers 1 over 2, and\n- 1 prefers 3 over 0.\nFriends 0 and 2 are happy.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2, preferences = [[1], [0]], pairs = [[1, 0]]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> Both friends 0 and 1 are happy.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 4, preferences = [[1, 3, 2], [2, 3, 0], [1, 3, 0], [0, 2, 1]], pairs = [[1, 3], [0, 2]]\n<strong>Output:</strong> 4\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n &lt;= 500</code></li>\n\t<li><code>n</code>&nbsp;is even.</li>\n\t<li><code>preferences.length&nbsp;== n</code></li>\n\t<li><code>preferences[i].length&nbsp;== n - 1</code></li>\n\t<li><code>0 &lt;= preferences[i][j] &lt;= n - 1</code></li>\n\t<li><code>preferences[i]</code>&nbsp;does not contain <code>i</code>.</li>\n\t<li>All values in&nbsp;<code>preferences[i]</code>&nbsp;are unique.</li>\n\t<li><code>pairs.length&nbsp;== n/2</code></li>\n\t<li><code>pairs[i].length&nbsp;== 2</code></li>\n\t<li><code>x<sub>i</sub> != y<sub>i</sub></code></li>\n\t<li><code>0 &lt;= x<sub>i</sub>, y<sub>i</sub>&nbsp;&lt;= n - 1</code></li>\n\t<li>Each person is contained in <strong>exactly one</strong> pair.</li>\n</ul>\n",
"translatedTitle": "统计不开心的朋友",
"translatedContent": "<p>给你一份 <code>n</code> 位朋友的亲近程度列表,其中 <code>n</code> 总是 <strong>偶数</strong> 。</p>\n\n<p>对每位朋友 <code>i</code><code>preferences[i]</code> 包含一份 <strong>按亲近程度从高</strong><strong>到低排列</strong> 的朋友列表。换句话说,排在列表前面的朋友与 <code>i</code> 的亲近程度比排在列表后面的朋友更高。每个列表中的朋友均以 <code>0</code> 到 <code>n-1</code> 之间的整数表示。</p>\n\n<p>所有的朋友被分成几对,配对情况以列表 <code>pairs</code> 给出,其中 <code>pairs[i] = [x<sub>i</sub>, y<sub>i</sub>]</code> 表示 <code>x<sub>i</sub></code> 与 <code>y<sub>i</sub></code> 配对,且 <code>y<sub>i</sub></code> 与 <code>x<sub>i</sub></code> 配对。</p>\n\n<p>但是,这样的配对情况可能会使其中部分朋友感到不开心。在 <code>x</code> 与 <code>y</code> 配对且 <code>u</code> 与 <code>v</code> 配对的情况下,如果同时满足下述两个条件,<code>x</code> 就会不开心:</p>\n\n<ul>\n\t<li><code>x</code> 与 <code>u</code> 的亲近程度胜过 <code>x</code> 与 <code>y</code>,且</li>\n\t<li><code>u</code> 与 <code>x</code> 的亲近程度胜过 <code>u</code> 与 <code>v</code></li>\n</ul>\n\n<p>返回 <strong>不开心的朋友的数目</strong> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 4, preferences = [[1, 2, 3], [3, 2, 0], [3, 1, 0], [1, 2, 0]], pairs = [[0, 1], [2, 3]]\n<strong>输出:</strong>2\n<strong>解释:</strong>\n朋友 1 不开心,因为:\n- <strong>1 与 0 </strong>配对,但 <strong>1 与 3</strong> 的亲近程度比 <strong>1 与 0</strong> 高,且\n- <strong>3 与 1</strong> 的亲近程度比 <strong>3 与 2</strong> 高。\n朋友 3 不开心,因为:\n- 3 与 2 配对,但 <strong>3 与 1</strong> 的亲近程度比 <strong>3 与 2</strong> 高,且\n- <strong>1 与 3</strong> 的亲近程度比 <strong>1 与 0</strong> 高。\n朋友 0 和 2 都是开心的。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 2, preferences = [[1], [0]], pairs = [[1, 0]]\n<strong>输出:</strong>0\n<strong>解释:</strong>朋友 0 和 1 都开心。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 4, preferences = [[1, 3, 2], [2, 3, 0], [1, 3, 0], [0, 2, 1]], pairs = [[1, 3], [0, 2]]\n<strong>输出:</strong>4\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n &lt;= 500</code></li>\n\t<li><code>n</code> 是偶数</li>\n\t<li><code>preferences.length&nbsp;== n</code></li>\n\t<li><code>preferences[i].length&nbsp;== n - 1</code></li>\n\t<li><code>0 &lt;= preferences[i][j] &lt;= n - 1</code></li>\n\t<li><code>preferences[i]</code> 不包含 <code>i</code></li>\n\t<li><code>preferences[i]</code> 中的所有值都是独一无二的</li>\n\t<li><code>pairs.length&nbsp;== n/2</code></li>\n\t<li><code>pairs[i].length&nbsp;== 2</code></li>\n\t<li><code>x<sub>i</sub> != y<sub>i</sub></code></li>\n\t<li><code>0 &lt;= x<sub>i</sub>, y<sub>i</sub>&nbsp;&lt;= n - 1</code></li>\n\t<li>每位朋友都 <strong>恰好</strong> 被包含在一对中</li>\n</ul>\n",
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