Queue Reconstruction by Height(算法分析week8)
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Queue Reconstruction by Height
题目来源:https://leetcode.com/problemset/algorithms/
题目类型:贪心算法
-题目描述-
-解题思路-
-代码实现-
题目描述
Suppose you have a random list of people standing in a queue. Each person is described by a pair of integers (h, k), where h is the height of the person and k is the number of people in front of this person who have a height greater than or equal to h. Write an algorithm to reconstruct the queue.
Note:
The number of people is less than 1,100.
Example
Input:
[[7,0], [4,4], [7,1], [5,0], [6,1], [5,2]]
Output:
[[5,0], [7,0], [5,2], [6,1], [4,4], [7,1]]
解题思路
题意为将队列按照(h, k)重新排列,(h, k)用来描述一个人的身高和他前面比他高的人的数目。不断将满足k=0的人中身高最低的添加到结果集中可以实现将队列按照(h, k)重新排列。
(1)将队列中k=0的人中身高最低(hi,ki)添加到结果集中,并从队列中删除这个人。将剩下的人中身高小于等于hi的人的k值减-1。
(2)重复步骤一,直到队列为空。
代码实现
@requires_authorizationclass Solution {public: vector<pair<int, int>> reconstructQueue(vector<pair<int, int>>& people) { vector<pair<int, int>> temp = people; vector<pair<int, int>> result; int j = 0; while (!people.empty()) { int min = INT_MAX; int pos = 0; for (int i = 0; i < people.size(); i++) { if (people[i].second == 0&&people[i].first < min) { min = people[i].first; pos = i; } } int h = people[pos].first; for (int i = 0; i < result.size(); i++) { if (h <= result[i].first) people[pos].second++; } result.push_back(make_pair(people[pos].first, people[pos].second)); people.erase(people.begin() + pos); for (int i = 0; i < people.size(); i++) { if (people[i].first <= h) people[i].second -= 1; } j++; } return result; }};
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