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:
- 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.
- 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;
}
}