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13 道题目

模式页适合用来建立可复用解题框架。先识别题目特征,再按固定流程解释状态定义、转移和边界。

识别信号

  • Look for nodes with no incoming edges as a hint for mandatory inclusion.
  • Consider in-degree counting to avoid full traversal of the DAG.
  • The hint about thinking in reverse is a strong signal to identify which color could have been printed last.

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

  • Assuming any node can be included without checking in-degree may lead to non-minimal sets.
  • Adding dependencies in the wrong direction is the most common bug; if color d appears inside color c's rectangle, then c must come before d.
  • Double-counting a road that connects both cities when calculating network rank.

推荐题单梯度

#题目难度
1557

可以到达所有点的最少点数目

Identify the minimum set of vertices in a directed acyclic graph from which all nodes are reachable efficiently using gr…

中等
1591

奇怪的打印机 II

Solve Strange Printer II by building color dependencies from bounding rectangles and checking whether a topological orde…

困难
1615

最大网络秩

Calculate the maximum network rank of two cities by analyzing all city pairs using a graph-driven solution strategy effi…

中等
1761

一个图中连通三元组的最小度数

Find the minimum degree of a connected trio in a graph using enumeration over nodes and edges.

困难
1791

找出星型图的中心节点

Find the center node of a star graph, where one node connects to all others.

简单
2203

包含要求路径的最小带权子图

Find the minimum weighted subgraph that connects three specified nodes in a directed graph with constraints.

困难
2242

节点序列的最大得分

Find the maximum score of a valid node sequence in an undirected graph with given node scores and edges.

困难
2374

边积分最高的节点

Determine the node with the highest edge score in a graph using hash table aggregation and careful index tracking.

中等
2392

给定条件下构造矩阵

Solve the matrix-building problem by using graph indegree and topological sorting to satisfy given row and column constr…

困难
2508

添加边使所有节点度数都为偶数

Determine if it's possible to add at most two edges to make all node degrees even in an undirected graph.

困难
2603

收集树中金币

The "Collect Coins in a Tree" problem requires traversing a tree to collect coins in the fewest steps while returning to…

困难
2924

找到冠军 II

Identify the strongest team in a tournament DAG using graph-driven logic, ensuring correct handling of in-degree zero ch…

中等
3435

最短公共超序列的字母出现频率

Compute all unique shortest common supersequences of given words using graph indegree tracking and topological ordering …

困难

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LeetCode 图模式题解:13题训练路线