> For the complete documentation index, see [llms.txt](https://wentao-shao.gitbook.io/leetcode/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://wentao-shao.gitbook.io/leetcode/graph-search/1066.campus-bikes-ii.md).

# 1066.Campus-Bikes-II

## 1066. Campus Bikes II

## 题目地址

<https://leetcode.com/problems/campus-bikes-ii/>

## 题目描述

```
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.

We assign one unique bike to each worker so that the sum of the Manhattan distances between each worker and their assigned bike is minimized.

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

Return the minimum possible sum of Manhattan distances between each worker and their assigned bike.

Example 1:
Input: workers = [[0,0],[2,1]], bikes = [[1,2],[3,3]]
Output: 6
Explanation: 
We assign bike 0 to worker 0, bike 1 to worker 1. The Manhattan distance of both assignments is 3, so the output is 6.

Example 2:
Input: workers = [[0,0],[1,1],[2,0]], bikes = [[1,0],[2,2],[2,1]]
Output: 4
Explanation: 
We first assign bike 0 to worker 0, then assign bike 1 to worker 1 or worker 2, bike 2 to worker 2 or worker 1. Both assignments lead to sum of the Manhattan distances as 4.

Note:
0 <= workers[i][0], workers[i][1], bikes[i][0], bikes[i][1] < 1000
All worker and bike locations are distinct.
1 <= workers.length <= bikes.length <= 10
```

## 代码

### Approach #1 DFS

```java
class Solution {
  int min = Integer.MAX_VALUE;
  public int assignBikes(int[][] workers, int[][] bikes) {
        boolean[] visit = new boolean[bikes.length];
    dfs(visit, works, 0, bikes, 0);
    return min;
  }

  private void dfs(boolean[] visit, int[][] works, int i, int[][] bikes, int distance) {
    if (i >= works.length) {
      min = Math.min(distance, min);
      return;
    }
    if (distance > min) {
      return;
    }
    for (int j = 0; j < bikes.length; j++) {
      if (visit[j]) {
        continue;
      }
      visit[j] = true;
      distance += calculateDistance(bikes[j], workers[i]);
      dfs(visit, works, i + 1, bikes, distance);
      visit[j] = false;
    }
  }

  private int calculateDistance(int[] p1, int[] p2) {
    return Math.abs(p1[0] - p2[0]) + Math.abs(p1[1] - p2[1]);
  }
}
```


---

# Agent Instructions
This documentation is published with GitBook. GitBook is the documentation platform designed so that both humans and AI agents can read, navigate, and reason over technical content effectively. Learn more at gitbook.com.

## Querying This Documentation
If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter, and the optional `goal` query parameter:

```
GET https://wentao-shao.gitbook.io/leetcode/graph-search/1066.campus-bikes-ii.md?ask=<question>&goal=<endgoal>
```

`ask` is the immediate question: it should be specific, self-contained, and written in natural language.
`goal` is optional and describes the broader end goal you are ultimately trying to accomplish on behalf of the user. GitBook uses it to tailor the answer towards what is most useful for that goal.

The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.