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]]

Difficulty: interview

Starter code:

class Solution:
    def reconstructQueue(self, people: List[List[int]]) -> List[List[int]]:
        

Solutions:
class Solution:
     def reconstructQueue(self, people):
         """
         :type people: List[List[int]]
         :rtype: List[List[int]]
         """
         people.sort(key = lambda x: (-x[0], x[1]))
         queue = []
         for p in people:
             queue.insert(p[1], p)
         return queue
 


class Solution:
     def reconstructQueue(self, people):
         """
         :type people: List[List[int]]
         :rtype: List[List[int]]
         """
         people.sort(key=lambda x: (-x[0], x[1]))
         result=[]
         for person in people:
             result.insert(person[1],person)
         return result

class Solution:
     def reconstructQueue(self, people):
         """
         :type people: List[List[int]]
         :rtype: List[List[int]]
         """
         
         
         if not people:
             return []
         ordered_line = []
         people = sorted(people, key=lambda x: x[1])
         people = sorted(people, key=lambda x: -x[0])
         for person in people:
             ordered_line.insert(person[1], person)    
         
         
         return ordered_line


class Solution:
     def reconstructQueue(self, people):
         """
         :type people: List[List[int]]
         :rtype: List[List[int]]
         """
         people.sort(key=lambda x: (-x[0], x[1]))
         
         res = []
         for person in people:
             res.insert(person[1], person)
             
         return res