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schema可复用解题模式

数学·结合·模拟模式

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。

database15 道题tune11/4/0 难度梯度category4 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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数学·结合·模拟模式题库

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 15 / 15 道题目

#题目难度
258

各位相加

Add Digits involves repeatedly summing digits of a number until a single digit is obtained.

简单
1103

分糖果 II

Distribute candies to people in a way that follows a mathematical pattern, ensuring the distribution is correct.

简单
1518

换水问题

Maximize the number of water bottles you can drink by simulating the exchange process between full and empty bottles.

简单
1688

比赛中的配对次数

Calculate the total matches in a tournament by simulating rounds and applying simple math rules for advancing teams.

简单
1860

增长的内存泄露

Solve Incremental Memory Leak by simulating each second carefully and using math to reason about the crash time bound.

中等
2169

得到 0 的操作数

Simulate operations on two integers until one becomes zero, counting how many steps it takes to achieve the result.

简单
2177

找到和为给定整数的三个连续整数

Given a number, find three consecutive integers that sum to it, or return an empty array if no such integers exist.

中等
2180

统计各位数字之和为偶数的整数个数

Solve this Easy Math plus Simulation problem by counting numbers whose digit sums are even up to a given limit efficient…

简单
2507

使用质因数之和替换后可以取到的最小值

Replace a number with the sum of its prime factors until it stabilizes, and return the smallest value.

中等
2582

递枕头

Pass the Pillow simulates the process of passing an item through a line of people, adjusting the direction based on time…

简单
2739

总行驶距离

Calculate the maximum distance a truck can travel using main and additional fuel tanks with controlled transfers.

简单
3100

换水问题 II

Compute the maximum number of water bottles you can drink by simulating exchanges with step-by-step math logic.

中等
3178

找出 K 秒后拿着球的孩子

Find the child who holds the ball after k seconds of passing in a queue, considering reversals at both ends.

简单
3222

求出硬币游戏的赢家

In this game between Alice and Bob, players must pick coins summing to 115. Alice starts, and the goal is to determine t…

简单
3360

移除石头游戏

Alice and Bob play a game of stone removal. Alice goes first, and the winner is the player who can make a move until the…

简单

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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LeetCode 数学·结合·模拟模式题解:15题训练路线