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数学·结合·模拟 模式

15 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 should show understanding of basic digit operations and how to optimize them.
  • Look for recognition of number properties like digital roots and their use in optimization.
  • Candidate should focus on simulating the candy distribution step by step.

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

  • Misunderstanding the problem and applying unnecessary loops or calculations.
  • Misunderstanding the cyclical distribution process and giving candies in the wrong order.
  • Failing to correctly simulate the bottle exchange and drinking process.

推荐题单梯度

#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

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LeetCode 数学·结合·模拟模式题解:15题训练路线