Description
Given a non-empty array of integers, return the k most frequent elements.
For example,
Given [1,1,1,2,2,3] and k = 2, return [1,2].
Note
1.You may assume k is always valid, 1 ≤ k ≤ number of unique elements.
2.Your algorithm's time complexity must be better than O(n log n), where n is the array's size.
Solution 1(C++)
class Solution {
public:
vector<int> topKFrequent(vector<int>& nums, int k) {
unordered_map<int,int> map;
for(int num : nums){
map[num]++;
}
vector<int> res;
// pair<first, second>: first is frequency, second is number
priority_queue<pair<int,int>> pq;
for(auto it = map.begin(); it != map.end(); it++){
pq.push(make_pair(it->second, it->first));
if(pq.size() > (int)map.size() - k){
res.push_back(pq.top().second);
pq.pop();
}
}
return res;
}
};
Solution 2(C++)
class Solution{
public:
vector<int> topKFrequent(vector<int>& nums, int k){
unordered_map<int, int> m;
for(int n: nums) m[n]++;
vector<vector<int>> buckets(nums.size()+1);
vector<int> res;
for(auto it=m.begin(); it!=m.end(); it++){
buckets[it->second].push_back(it->first);
}
for(int i=nums.size(); i>=0&&res.size()<k; i--){
for(int b:buckets[i]){
res.push_back(b);
if(res.size()==k) break;
}
}
return res;
}
};
算法分析
这道题目不难,主要是要注意题目Note中对算法时间复杂度的要求,所以解法二中使用了桶排序。解法一中使用了优先队列这个数据结构,我还没有系统学习,准备搞一波。
程序分析
注意优先队列这种数据结构。