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g2001_2100.s2092_find_all_people_with_secret.readme.md Maven / Gradle / Ivy

2092\. Find All People With Secret

Hard

You are given an integer `n` indicating there are `n` people numbered from `0` to `n - 1`. You are also given a **0-indexed** 2D integer array `meetings` where meetings[i] = [xi, yi, timei] indicates that person xi and person yi have a meeting at timei. A person may attend **multiple meetings** at the same time. Finally, you are given an integer `firstPerson`.

Person `0` has a **secret** and initially shares the secret with a person `firstPerson` at time `0`. This secret is then shared every time a meeting takes place with a person that has the secret. More formally, for every meeting, if a person xi has the secret at timei, then they will share the secret with person yi, and vice versa.

The secrets are shared **instantaneously**. That is, a person may receive the secret and share it with people in other meetings within the same time frame.

Return _a list of all the people that have the secret after all the meetings have taken place._ You may return the answer in **any order**.

**Example 1:**

**Input:** n = 6, meetings = [[1,2,5],[2,3,8],[1,5,10]], firstPerson = 1

**Output:** [0,1,2,3,5]

**Explanation:**

At time 0, person 0 shares the secret with person 1.

At time 5, person 1 shares the secret with person 2.

At time 8, person 2 shares the secret with person 3.

At time 10, person 1 shares the secret with person 5.

Thus, people 0, 1, 2, 3, and 5 know the secret after all the meetings. 

**Example 2:**

**Input:** n = 4, meetings = [[3,1,3],[1,2,2],[0,3,3]], firstPerson = 3

**Output:** [0,1,3]

**Explanation:**

At time 0, person 0 shares the secret with person 3.

At time 2, neither person 1 nor person 2 know the secret.

At time 3, person 3 shares the secret with person 0 and person 1.

Thus, people 0, 1, and 3 know the secret after all the meetings. 

**Example 3:**

**Input:** n = 5, meetings = [[3,4,2],[1,2,1],[2,3,1]], firstPerson = 1

**Output:** [0,1,2,3,4]

**Explanation:**

At time 0, person 0 shares the secret with person 1.

At time 1, person 1 shares the secret with person 2, and person 2 shares the secret with person 3.

Note that person 2 can share the secret at the same time as receiving it.

At time 2, person 3 shares the secret with person 4.

Thus, people 0, 1, 2, 3, and 4 know the secret after all the meetings. 

**Constraints:**

*   2 <= n <= 105
*   1 <= meetings.length <= 105
*   `meetings[i].length == 3`
*   0 <= xi, yi <= n - 1
*   xi != yi
*   1 <= timei <= 105
*   `1 <= firstPerson <= n - 1`