Queue Reconstruction by Height

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]]

Tips:

  1. Pick out tallest group of people and sort them in a subarray (S). Since there's no other groups of people taller than them, therefore each guy's index will be just as same as his k value.
  2. For 2nd tallest group (and the rest), insert each one of them into (S) by k value. So on and so forth.

E.g.

input: [[7,0], [4,4], [7,1], [5,0], [6,1], [5,2]]
subarray after step 1: [[7,0], [7,1]]
subarray after step 2: [[7,0], [6,1], [7,1]]

Code:

public class Solution {
    public int[][] reconstructQueue(int[][] people) {
        Arrays.sort(people, new Comparator<int[]>() {
            public int compare(int[] a, int[] b) {
                if (a[0] != b[0]) return b[0] - a[0];
                else return a[1] - b[1];
            }
        });
        ArrayList<int[]> tmp = new ArrayList<>();
        for (int i = 0; i < people.length; i++) {
            tmp.add(people[i][1], people[i]);
        }
        int[][] res = new int[people.length][2];
        for (int i = 0; i < tmp.size(); i++) {
            res[i][0] = tmp.get(i)[0];
            res[i][1] = tmp.get(i)[1];
        }
        return res;
    }
}

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