Reconstruct Itinerary
Detailed guide and Python implementation for the 'Reconstruct Itinerary' problem.
1. 学ぶ
The 'Reconstruct Itinerary' problem is a key challenge in the Advanced Graphs section.
This implementation focuses on easy-level logic in Python.
We prioritize technical accuracy and code readability in our provided solutions.
2. Real-World Applications
3. Visual Intuition
Visualizing the logic flow for Reconstruct Itinerary.
4. Prerequisites
5. Step-by-Step Thinking
1. Understand the problem
Read the problem statement for Reconstruct Itinerary carefully.
2. Formulate brute force
Draft a simple iterative solution.
3. Identify inefficiency
Look for redundant calculations.
4. Optimize search path
Use hashing or sorting to speed up the process.
5. Final Implementation
Clean up the code for production standards.
問題提起
You are given a list of airline tickets where tickets[i] = [from_i, to_i] represent the departure and the arrival airports of one flight. Reconstruct the itinerary in order and return it.
All of the tickets belong to a man who departs from 'JFK'. Thus, the itinerary must begin with 'JFK'.
If there are multiple valid itineraries, you should return the itinerary that has the smallest lexical order when read as a single string. For example, the itinerary ['JFK', 'LGA'] has a smaller lexical order than ['JFK', 'LGB'].
You may assume all tickets form at least one valid itinerary. You must use all the tickets once and only once.
Write a function findItinerary(tickets: List[List[str]]) -> List[str].
- •1 <= len(tickets) <= 300
- •tickets[i].length == 2
- •from_i.length == 3
- •to_i.length == 3
- •from_i and to_i consist of uppercase English letters
例
tickets = [["MUC","LHR"],["JFK","MUC"],["SFO","SJC"],["LHR","SFO"]]
["JFK","MUC","LHR","SFO","SJC"]
The only valid itinerary is JFK -> MUC -> LHR -> SFO -> SJC.
tickets = [["JFK","SFO"],["JFK","ATL"],["SFO","ATL"],["ATL","JFK"],["ATL","SFO"]]
["JFK","ATL","JFK","SFO","ATL","SFO"]
Another possible reconstruction is JFK -> SFO -> ATL -> JFK -> ATL -> SFO, but it is larger lexically.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
解決する準備はできましたか?
Open the problem in PyRun's browser-based Python editor. Your code runs fully offline — no server required.
インタビューの洞察とバリエーション
複雑さの分析の内訳
なぜ時間がかかるのか: Directly evaluates all possibilities.
なぜ宇宙なのか: Uses standard local memory.
なぜ時間がかかるのか: Optimized paths reduce total operations.
なぜ宇宙なのか: May trade memory for speed.
最適化されたソリューションの Python コード
最適化されたソリューションの Python コード
import collections
def find_itinerary_opt(tickets):
adj = collections.defaultdict(list)
for src, dst in sorted(tickets, reverse=True): adj[src].append(dst)
res = []
def dfs(src):
while adj[src]:
dfs(adj[src].pop())
res.append(src)
dfs("JFK")
return res[::-1]ブルート フォース コード (スポイラーガード付き)
ブルート フォース コード (スポイラーガード付き)
def find_itinerary_brute(tickets):
adj = collections.defaultdict(list)
for src, dst in sorted(tickets): adj[src].append(dst)
res = ["JFK"]
def backtrack(curr):
if len(res) == len(tickets) + 1: return True
for i, next_city in enumerate(adj[curr]):
adj[curr].pop(i); res.append(next_city)
if backtrack(next_city): return True
res.pop(); adj[curr].insert(i, next_city)
return False
backtrack("JFK")
return resAlgorithm Pattern Checklist
When dealing with Advanced Graphs data patterns.
- Are constraints clear?
- Is there a linear or logarithmic optimization possible?
Key Revision Notes
Standard Advanced Graphs problem properties apply.
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