A company is organizing a meeting and has a list of n employees, waiting to be invited. They have arranged for a large circular table, capable of seating any number of employees.
The employees are numbered from 0 to n - 1. Each employee has a favorite person and they will attend the meeting only if they can sit next to their favorite person at the table. The favorite person of an employee is not themself.
Given a 0-indexed integer array favorite, where favorite[i] denotes the favorite person of the ith employee, return the maximum number of employees that can be invited to the meeting.
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Example 1:
\n![\"\"](\"https://assets.leetcode.com/uploads/2021/12/14/ex1.png\")
\n\nInput: favorite = [2,2,1,2]\nOutput: 3\nExplanation:\nThe above figure shows how the company can invite employees 0, 1, and 2, and seat them at the round table.\nAll employees cannot be invited because employee 2 cannot sit beside employees 0, 1, and 3, simultaneously.\nNote that the company can also invite employees 1, 2, and 3, and give them their desired seats.\nThe maximum number of employees that can be invited to the meeting is 3. \n\n\n
Example 2:
\n\n\nInput: favorite = [1,2,0]\nOutput: 3\nExplanation: \nEach 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.\nThe seating arrangement will be the same as that in the figure given in example 1:\n- Employee 0 will sit between employees 2 and 1.\n- Employee 1 will sit between employees 0 and 2.\n- Employee 2 will sit between employees 1 and 0.\nThe maximum number of employees that can be invited to the meeting is 3.\n\n\n
Example 3:
\n![\"\"](\"https://assets.leetcode.com/uploads/2021/12/14/ex2.png\")
\n\nInput: favorite = [3,0,1,4,1]\nOutput: 4\nExplanation:\nThe above figure shows how the company will invite employees 0, 1, 3, and 4, and seat them at the round table.\nEmployee 2 cannot be invited because the two spots next to their favorite employee 1 are taken.\nSo the company leaves them out of the meeting.\nThe maximum number of employees that can be invited to the meeting is 4.\n\n\n
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Constraints:
\n\nn == favorite.length2 <= n <= 1050 <= favorite[i] <= n - 1favorite[i] != iCompiled with clang 11 using the latest C++ 17 standard.
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