Description
You are given two integer arrays persons and times. In an election, the ith vote was cast for persons[i] at time times[i].
For each query at a time t, find the person that was leading the election at time t. Votes cast at time t will count towards our query. In the case of a tie, the most recent vote (among tied candidates) wins.
Implement the TopVotedCandidate class:
TopVotedCandidate(int[] persons, int[] times)Initializes the object with thepersonsandtimesarrays.int q(int t)Returns the number of the person that was leading the election at timetaccording to the mentioned rules.
Example 1:
Input ["TopVotedCandidate", "q", "q", "q", "q", "q", "q"] [[[0, 1, 1, 0, 0, 1, 0], [0, 5, 10, 15, 20, 25, 30]], [3], [12], [25], [15], [24], [8]] Output [null, 0, 1, 1, 0, 0, 1] Explanation TopVotedCandidate topVotedCandidate = new TopVotedCandidate([0, 1, 1, 0, 0, 1, 0], [0, 5, 10, 15, 20, 25, 30]); topVotedCandidate.q(3); // return 0, At time 3, the votes are [0], and 0 is leading. topVotedCandidate.q(12); // return 1, At time 12, the votes are [0,1,1], and 1 is leading. topVotedCandidate.q(25); // return 1, At time 25, the votes are [0,1,1,0,0,1], and 1 is leading (as ties go to the most recent vote.) topVotedCandidate.q(15); // return 0 topVotedCandidate.q(24); // return 0 topVotedCandidate.q(8); // return 1
Constraints:
1 <= persons.length <= 5000times.length == persons.length0 <= persons[i] < persons.length0 <= times[i] <= 109timesis sorted in a strictly increasing order.times[0] <= t <= 109- At most
104calls will be made toq.
Solutions
Solution 1: Binary Search
We can record the winner at each moment during initialization, and then use binary search to find the largest moment less than or equal to t during the query, and return the winner at that moment.
During initialization, we use a counter cnt to record the votes of each candidate, and a variable cur to record the current leading candidate. Then we traverse each moment, update cnt and cur, and record the winner at each moment.
During the query, we use binary search to find the largest moment less than or equal to t, and return the winner at that moment.
In terms of time complexity, during initialization, we need O(n) time, and during the query, we need O(log n) time. The space complexity is O(n).
class TopVotedCandidate: def __init__(self, persons: List[int], times: List[int]): cnt = Counter() self.times = times self.wins = [] cur = 0 for p in persons: cnt[p] += 1 if cnt[cur] <= cnt[p]: cur = p self.wins.append(cur) def q(self, t: int) -> int: i = bisect_right(self.times, t) - 1 return self.wins[i] # Your TopVotedCandidate object will be instantiated and called as such: # obj = TopVotedCandidate(persons, times) # param_1 = obj.q(t)(code-box)
