MediumNo. 1057LeetCode Premium

Campus Bikes — LeetCode 1057 Python Solution

Topics
Array, Sorting, Heap (Priority Queue)
Reading time
3 min

The problem

On a campus represented on the X-Y plane, there are n workers and m bikes, with n <= m. You are given an array workers of length n where workers[i] = [xi, yi] is the position of the ith worker.

Example

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].

Python solution

PythonSolution
class Solution:
    def assignBikes(
        self, workers: List[List[int]], bikes: List[List[int]]
    ) -> List[int]:
        n, m = len(workers), len(bikes)
        arr = []
        for i, j in product(range(n), range(m)):
            dist = abs(workers[i][0] - bikes[j][0]) + abs(workers[i][1] - bikes[j][1])
            arr.append((dist, i, j))
        arr.sort()
        vis1 = [False] * n
        vis2 = [False] * m
        ans = [0] * n
        for _, i, j in arr:
            if not vis1[i] and not vis2[j]:
                vis1[i] = vis2[j] = True
                ans[i] = j
        return ans

Complexity

Time
O(n log n)
Space · auxiliary
O(n)

Pattern: Heap / Priority Queue

Keep only the best k elements, or always pull the smallest, in log time. LeetCode 1057. Campus Bikes is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Heap (Priority Queue).

The heap / priority queue guide has the Python template for the pattern and the 163 LeetCode problems that use it.

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Frequently asked questions

How hard is LeetCode 1057. Campus Bikes?

LeetCode 1057. Campus Bikes is rated Medium on LeetCode.

What is the time complexity of LeetCode 1057. Campus Bikes?

The Python solution on this page runs in O(n log n).

What is the space complexity of LeetCode 1057. Campus Bikes?

The Python solution on this page uses O(n) auxiliary space.

What topics does LeetCode 1057. Campus Bikes cover?

LeetCode 1057. Campus Bikes is tagged Array, Sorting and Heap (Priority Queue) on LeetCode.

Is LeetCode 1057. Campus Bikes a premium problem?

Yes. LeetCode 1057. Campus Bikes is a LeetCode Premium problem, so the full statement and test cases require a paid LeetCode subscription.

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