Problem: Queue Reconstruction by Height

Posted by Marcy on February 18, 2015

Question

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]]

Solution

[7,0] [7,1] [6,1] [5,0] [5,2] [4,4]

When [6,1] cut in the line on the position, the [7,1] after that still have valid counts as he doesn’t count the smaller person cut in.

翻译:矮子插队无所谓,反正高个子看不到

Code

class Solution {
    public int[][] reconstructQueue(int[][] people) {
        Arrays.sort(people, (a, b) -> (b[0] == a[0] ? a[1] - b[1] : b[0] - a[0]));
        List<int[]> res = new ArrayList<>();
        for (int[] p : people) {
            res.add(p[1], p);
        }
        return res.toArray(new int[people.length][2]);
    }
}

Performance

O(n)