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数学·driven 模式

43 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

  • Expect discussion about handling overflow conditions explicitly.
  • Clarify whether negative numbers should retain their sign after reversal.
  • Checks if you can handle numeric operations without string conversion.

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

  • Failing to check for 32-bit overflow before updating the reversed number.
  • Reversing the entire number can cause integer overflow.
  • Brute force methods that attempt to calculate n! directly will fail for large values of n due to factorial growth.

推荐题单梯度

#题目难度
7

整数反转

Reverse Integer challenges you to invert the digits of a signed 32-bit integer, handling overflow and negative values ca…

中等
9

回文数

Determine if a given integer reads the same forward and backward using a math-driven solution strategy without convertin…

简单
172

阶乘后的零

Given a number n, find how many trailing zeroes are in n! using a math-driven approach.

中等
263

丑数

The Ugly Number problem asks you to determine if a number is divisible only by 2, 3, or 5.

简单
492

构造矩形

Given an area, design a rectangle with integer length and width optimizing L >= W and minimal difference, using math.

简单
507

完美数

Check if a given number is a perfect number by verifying if it's equal to the sum of its divisors, excluding itself.

简单
728

自除数

Identify self-dividing numbers in a given range by verifying divisibility against their digits.

简单
780

到达终点

Determine whether it is possible to reach a target point from a start point using repeated additive moves following stri…

困难
1017

负二进制转换

Convert any non-negative integer into its base -2 representation using a math-driven iterative remainder strategy.

中等
1175

质数排列

Calculate the number of valid permutations of 1 to n where prime numbers occupy prime indices using math-driven logic.

简单
1185

一周中的第几天

Given a date, calculate the corresponding weekday using a math-based strategy, focusing on modular arithmetic.

简单
1276

不浪费原料的汉堡制作方案

Determine the exact counts of jumbo and small burgers using all tomato and cheese slices without leftovers, applying mat…

中等
1281

整数的各位积和之差

Calculate the difference between the product and sum of an integer's digits using a simple math-driven approach for effi…

简单
1317

将整数转换为两个无零整数的和

Find two positive integers whose sum equals n and neither contains the digit zero, using a direct math-driven approach.

简单
1344

时钟指针的夹角

Calculate the smaller angle between the hour and minute hands of a clock based on given time inputs.

中等
1362

最接近的因数

Find the closest divisors of num + 1 and num + 2 with minimal absolute difference in this math-driven problem.

中等
1523

在区间范围内统计奇数数目

Count Odd Numbers in an Interval Range efficiently using a math-driven formula that avoids unnecessary iteration over la…

简单
1551

使数组中所有元素相等的最小操作数

Compute the minimum number of operations to equalize a sequential odd-number array using a precise math-driven approach.

中等
1716

计算力扣银行的钱

Calculate the total amount of money in the Leetcode bank at the end of the nth day, based on a weekly increasing deposit…

简单
1780

判断一个数字是否可以表示成三的幂的和

Determine if a number can be expressed as the sum of distinct powers of three using a math-driven strategy.

中等
1837

K 进制表示下的各位数字总和

Calculate the sum of digits of a number after converting it from base 10 to any given base using a math-driven approach.

简单
2117

一个区间内所有数乘积的缩写

Calculate the abbreviated product of integers in a range efficiently using math-driven analysis of trailing zeros and si…

困难
2119

反转两次的数字

Determine if reversing a number twice returns the original integer by analyzing trailing zeros and digit placement.

简单
2235

两整数相加

This problem asks to return the sum of two integers within a specific range, focusing on math-driven solution strategy.

简单
2469

温度转换

Convert the given Celsius temperature to Kelvin and Fahrenheit using mathematical formulas and return the result in an a…

简单
2520

统计能整除数字的位数

Count the digits that divide a number by checking each digit's divisibility.

简单
2525

根据规则将箱子分类

Classify a box as "Heavy", "Bulky", or "Neither" based on its dimensions and mass using math-driven strategies.

简单
2544

交替数字和

Compute the alternating digit sum by applying a sign to each digit and summing efficiently using a math-driven approach.

简单
2579

统计染色格子数

The "Count Total Number of Colored Cells" problem requires deriving a formula to compute colored cells based on elapsed …

中等
2651

计算列车到站时间

Calculate the new arrival time of a delayed train in 24-hour format by using basic math operations.

简单
2652

倍数求和

Find the sum of integers divisible by 3, 5, or 7 in the range [1, n].

简单
2769

找出最大的可达成数字

Determine the largest number achievable by repeatedly applying a simple math operation up to t times efficiently.

简单
2806

取整购买后的账户余额

Given a purchase amount, calculate the account balance after rounding the purchase to the nearest multiple of 10 and ded…

简单
2849

判断能否在给定时间到达单元格

The problem asks if a target cell can be reached from a starting position within a given time on a 2D grid.

中等
2894

分类求和并作差

Compute the difference between sums of integers divisible and non-divisible by m using a direct arithmetic approach effi…

简单
3021

Alice 和 Bob 玩鲜花游戏

Alice and Bob play a turn-based game on a circular field with flowers, where players must choose pairs that satisfy pari…

中等
3099

哈沙德数

Given an integer, determine if it is a Harshad number by checking if it's divisible by the sum of its digits.

简单
3270

求出数字答案

Determine the four-digit key from three given numbers using a precise math-driven approach for exact digit alignment.

简单
3492

船上可以装载的最大集装箱数量

Determine the maximum number of containers that can be loaded onto a ship's deck without exceeding weight limits.

简单
3516

找到最近的人

Determine which of two people reaches a third person first using a simple math-driven distance comparison strategy.

简单
3560

木材运输的最小成本

Calculate the minimum cost to transport two logs using a math-driven strategy considering cutting costs and truck limits…

简单
3609

到达目标点的最小移动次数

Find the minimum number of moves to reach a target point from a start point on a 2D grid with a math-driven solution.

困难
3622

判断整除性

Determine if a positive integer is divisible by the sum of its digits plus their product using a math-driven strategy.

简单

关联题型

LeetCode 数学·driven模式题解:43题训练路线