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schema可复用解题模式

图·DFS·traversal模式

模式页更适合建立可迁移的解题框架。先抓识别信号,再反复练状态定义、更新规则和边界解释,能比零散刷题更快形成稳定手感。

database43 道题tune1/26/16 难度梯度category6 个关联题型

模式摘要

先识别什么

题目里常出现可以复用的状态更新节奏。

解法节奏

先口述状态和不变量,再解释每一步如何更新,最后用反例验证边界。

高频失分点

状态定义说不清,写出来也难以稳定维护。

识别信号

  • 题目里常出现可以复用的状态更新节奏。
  • 暴力枚举太慢,但结构上存在可维护的不变量。
  • 面试追问通常会盯住边界、状态变更和复杂度。

解题流程

  1. 1. 明确窗口/状态定义
  2. 2. 更新状态并维护约束
  3. 3. 用边界样例验证

常见失分点

  • 状态定义说不清,写出来也难以稳定维护。
  • 只会背模板,解释不了为什么这样更新。
  • 样例能过,但边界和复杂度追问容易崩。

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题库

图·DFS·traversal模式题库

这里更适合先按关键词或难度找题,再按关联题型切入。题库会在容器内继续滚动时慢慢续载,避免模式页被长列表一下子拉穿。

慢加载模式题库

适合先建模式理解,再扩展到完整题单。

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当前展示 24 / 43 道题目

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#题目难度
133

克隆图

Clone Graph involves cloning a graph using DFS, focusing on graph traversal and neighbor management using hash tables.

中等
332

重新安排行程

Reconstruct Itinerary requires building a valid travel route using all tickets once, starting from JFK with lexical orde…

困难
399

除法求值

Compute the results of division queries from given equations using graph traversal and depth-first search efficiently.

中等
547

省份数量

Solve Number of Provinces by scanning the adjacency matrix and launching DFS once per unvisited city component.

中等
684

冗余连接

Identify and remove the redundant edge that causes a cycle in a graph starting as a tree.

中等
685

冗余连接 II

Find and remove the redundant connection in a directed graph that was originally a rooted tree.

困难
743

网络延迟时间

Find the minimum time for a signal to travel to all nodes in a directed graph or determine if it's impossible.

中等
753

破解保险箱

The Cracking the Safe problem involves finding the shortest password sequence to unlock a safe using graph traversal and…

困难
765

情侣牵手

This problem requires arranging couples sitting apart in a row with the minimum number of swaps using graph traversal an…

困难
785

判断二分图

Determine whether an undirected graph can be split into two independent sets using DFS, BFS, or Union Find patterns.

中等
787

K 站中转内最便宜的航班

Find the cheapest flight from a source to a destination with at most K stops using graph traversal techniques efficientl…

中等
797

所有可能的路径

Find all paths in a directed acyclic graph (DAG) from source to target using depth-first search and backtracking.

中等
834

树中距离之和

The problem asks to compute the sum of distances between each node and all others in a tree structure using depth-first …

困难
841

钥匙和房间

Determine if all rooms can be visited given keys distributed across a set of interconnected locked rooms using graph tra…

中等
886

可能的二分法

Determine if a group of n people with mutual dislikes can be split into two non-conflicting groups using graph traversal…

中等
947

移除最多的同行或同列石头

Maximize the number of stones removed from a 2D plane using graph traversal and DFS.

中等
1042

不邻接植花

In this problem, you are tasked with planting flowers in gardens with specific constraints based on graph traversal prin…

中等
1192

查找集群内的关键连接

Find critical connections in a network of servers, ensuring efficient traversal using depth-first search and Tarjan's al…

困难
1319

连通网络的操作次数

Determine the minimum number of operations required to connect all computers in a network with a limited number of cable…

中等
1361

验证二叉树

Validate Binary Tree Nodes problem requires checking if a set of nodes forms a valid binary tree using graph traversal.

中等
1377

T 秒后青蛙的位置

The problem asks for the probability that a frog reaches a target vertex after t seconds in a tree graph.

困难
1466

重新规划路线

Reorder Routes to Make All Paths Lead to the City Zero involves reversing the direction of roads in a tree to ensure all…

中等
1971

寻找图中是否存在路径

Determine if a valid path exists between two vertices in a bi-directional graph using traversal techniques.

简单
2092

找出知晓秘密的所有专家

Find all people who receive a secret through meetings using graph traversal with depth-first search efficiently and corr…

困难

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按题型继续深入

模式学会之后,最好回到具体题型里做迁移训练。这样更容易分清楚“模式本身”和“场景变化”分别在哪里。

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