数学·结合·combinatorics 模式
4 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
- Candidate suggests an efficient combinatorial approach.
- Candidate considers dynamic programming for optimization.
- Strong understanding of combinatorics and enumeration techniques.
解题流程
- 1. 明确窗口/状态定义
- 2. 更新状态并维护约束
- 3. 用边界样例验证
常见失分点
- Forgetting to check that the sum of candies matches n.
- Forgetting to account for the limit on the number of candies each child can receive.
- Not correctly handling the modulo operation, leading to overflow errors.
推荐题单梯度
#题目难度分类
2928
给小朋友们分糖果 I
Given two integers n and limit, find the number of ways to distribute n candies among 3 children, with no child receivin…
简单
数学
2929给小朋友们分糖果 II
Determine how to distribute n candies among 3 children without exceeding a limit on individual candies.
中等
数学
3405统计恰好有 K 个相等相邻元素的数组数目
Count the number of valid arrays with exactly k adjacent elements that are equal, using math and combinatorics technique…
困难
数学
3426所有安放棋子方案的曼哈顿距离
This problem challenges you to calculate Manhattan distances in all valid arrangements of identical pieces on a grid.
困难
数学