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<p>A company is organizing a meeting and has a list of <code>n</code> employees, waiting to be invited. They have arranged for a large <strong>circular</strong> table, capable of seating <strong>any number</strong> of employees.</p>
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<p>The employees are numbered from <code>0</code> to <code>n - 1</code>. Each employee has a <strong>favorite</strong> person and they will attend the meeting <strong>only if</strong> they can sit next to their favorite person at the table. The favorite person of an employee is <strong>not</strong> themself.</p>
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<p>Given a <strong>0-indexed</strong> integer array <code>favorite</code>, where <code>favorite[i]</code> denotes the favorite person of the <code>i<sup>th</sup></code> employee, return <em>the <strong>maximum number of employees</strong> that can be invited to the meeting</em>.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2021/12/14/ex1.png" style="width: 236px; height: 195px;" />
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<pre>
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<strong>Input:</strong> favorite = [2,2,1,2]
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<strong>Output:</strong> 3
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<strong>Explanation:</strong>
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The above figure shows how the company can invite employees 0, 1, and 2, and seat them at the round table.
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All employees cannot be invited because employee 2 cannot sit beside employees 0, 1, and 3, simultaneously.
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Note that the company can also invite employees 1, 2, and 3, and give them their desired seats.
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The maximum number of employees that can be invited to the meeting is 3. 
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> favorite = [1,2,0]
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<strong>Output:</strong> 3
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<strong>Explanation:</strong> 
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Each employee is the favorite person of at least one other employee, and the only way the company can invite them is if they invite every employee.
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The seating arrangement will be the same as that in the figure given in example 1:
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- Employee 0 will sit between employees 2 and 1.
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- Employee 1 will sit between employees 0 and 2.
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- Employee 2 will sit between employees 1 and 0.
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The maximum number of employees that can be invited to the meeting is 3.
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</pre>
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<p><strong>Example 3:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2021/12/14/ex2.png" style="width: 219px; height: 220px;" />
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<pre>
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<strong>Input:</strong> favorite = [3,0,1,4,1]
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<strong>Output:</strong> 4
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<strong>Explanation:</strong>
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The above figure shows how the company will invite employees 0, 1, 3, and 4, and seat them at the round table.
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Employee 2 cannot be invited because the two spots next to their favorite employee 1 are taken.
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So the company leaves them out of the meeting.
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The maximum number of employees that can be invited to the meeting is 4.
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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	<li><code>n == favorite.length</code></li>
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	<li><code>2 <= n <= 10<sup>5</sup></code></li>
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	<li><code>0 <= favorite[i] <= n - 1</code></li>
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	<li><code>favorite[i] != i</code></li>
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</ul>
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