Minimum Amount of Time to Collect Garbage — LeetCode 2391 Python Solution

MediumArrayStringPrefix Sum
Problem
#2391
Pattern
Prefix Sum
Reading time
3 min

The problem

You are given a 0-indexed array of strings garbage where garbage[i] represents the assortment of garbage at the ith house. garbage[i] consists only of the characters 'M', 'P' and 'G' representing one unit of metal, paper and glass garbage respectively.

Example

Input
garbage = ["G","P","GP","GG"], travel = [2,4,3]
Output
21
Explanation
The paper garbage truck:

Python solution

Python
class Solution:
    def garbageCollection(self, garbage: List[str], travel: List[int]) -> int:
        last = {}
        ans = 0
        for i, s in enumerate(garbage):
            ans += len(s)
            for c in s:
                last[c] = i
        ts = 0
        for i, t in enumerate(travel, 1):
            ts += t
            ans += sum(ts for j in last.values() if i == j)
        return ans

Complexity

MeasureComplexity
TimeO(n)
SpaceO(k), where n and k are the number and types of garbage, respectively auxiliary

Pattern: Prefix Sum

Precompute running totals once so any range query becomes a single subtraction. LeetCode 2391. Minimum Amount of Time to Collect Garbage is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Prefix Sum.

The prefix sum guide has the Python template for the pattern and the 157 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 2391. Minimum Amount of Time to Collect Garbage?
LeetCode 2391. Minimum Amount of Time to Collect Garbage is rated Medium on LeetCode.
What is the time complexity of LeetCode 2391. Minimum Amount of Time to Collect Garbage?
The Python solution on this page runs in O(n).
What is the space complexity of LeetCode 2391. Minimum Amount of Time to Collect Garbage?
The Python solution on this page uses O(k), where n and k are the number and types of garbage, respectively auxiliary space.
What topics does LeetCode 2391. Minimum Amount of Time to Collect Garbage cover?
LeetCode 2391. Minimum Amount of Time to Collect Garbage is tagged Array, String and Prefix Sum on LeetCode.

Stuck on problems like this in a live interview?

Stealth Interview is a desktop app for macOS and Windows. It reads the problem off your screen and returns a working solution with a step-by-step explanation and its time and space complexity — invisible to screen sharing.

Get Stealth Interview