LeetCode 1057. Campus Bikes

原题链接在这里：https://leetcode.com/problems/campus-bikes/

题目：

On a campus represented as a 2D grid, there are N workers and M bikes, with N <= M. Each worker and bike is a 2D coordinate on this grid.

Our goal is to assign a bike to each worker. Among the available bikes and workers, we choose the (worker, bike) pair with the shortest Manhattan distance between each other, and assign the bike to that worker. (If there are multiple (worker, bike) pairs with the same shortest Manhattan distance, we choose the pair with the smallest worker index; if there are multiple ways to do that, we choose the pair with the smallest bike index). We repeat this process until there are no available workers.

The Manhattan distance between two points p1 and p2 is Manhattan(p1, p2) = |p1.x - p2.x| + |p1.y - p2.y|.

Return a vector ans of length N, where ans[i] is the index (0-indexed) of the bike that the i-th worker is assigned to.

Example 1:

Input: workers = [[0,0],[2,1]], bikes = [[1,2],[3,3]]
Output: [1,0]
Explanation: 
Worker 1 grabs Bike 0 as they are closest (without ties), and Worker 0 is assigned Bike 1. So the output is [1, 0].

Example 2:

Input: workers = [[0,0],[1,1],[2,0]], bikes = [[1,0],[2,2],[2,1]]
Output: [0,2,1]
Explanation: 
Worker 0 grabs Bike 0 at first. Worker 1 and Worker 2 share the same distance to Bike 2, thus Worker 1 is assigned to Bike 2, and Worker 2 will take Bike 1. So the output is [0,2,1].

Note:

1. 0 <= workers[i][j], bikes[i][j] < 1000
2. All worker and bike locations are distinct.
3. 1 <= workers.length <= bikes.length <= 1000

题解：

The question is asking to sort the pair by distance. If distance is the same, sort by worker index. If worker index is the same, sort by bike index.

Thus we could have a minHeap. And add each pair.

When polling out a pair, check if worker has been visited or bike has been visited. If yes, then it must have a smaller pair before.

Otherwise, assign this bike to this user and mark both visited.

Time Complexity: O(m*n*log(m*n)). m = worders.length. n = bikes.length.

Space: O(m + n).

AC Java:

 1 class Solution {
 2     public int[] assignBikes(int[][] workers, int[][] bikes) {
 3         int m = workers.length;
 4         int n = bikes.length;
 5         int [] res = new int[m];
 6         
 7         boolean [] wUsed = new boolean[m];
 8         boolean [] bUsed = new boolean[n];
 9         
10         PriorityQueue<int []> minHeap = new PriorityQueue<>((a, b) -> a[2] == b[2] ? (a[0] == b[0] ? a[1] - b[1] : a[0] - b[0]) : a[2] - b[2]);
11         for(int i = 0; i < m; i++){
12             for(int j = 0; j < n; j++){
13                 minHeap.add(new int[]{i, j, dist(workers[i], bikes[j])});
14             }
15         }
16         
17         while(!minHeap.isEmpty()){
18             int [] cur = minHeap.poll();
19             if(wUsed[cur[0]] || bUsed[cur[1]]){
20                 continue;
21             }
22             
23             res[cur[0]] = cur[1];
24             wUsed[cur[0]] = true;
25             bUsed[cur[1]] = true;
26         }
27         
28         return res;
29     }
30     
31     private int dist(int [] a, int [] b){
32         return Math.abs(a[0] - b[0]) + Math.abs(a[1] - b[1]);
33     }
34 }

跟上Campus Bikes II.