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数组·数学模式

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。

database111 道题tune31/50/30 难度梯度category6 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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数组·数学模式题库

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 24 / 111 道题目

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#题目难度
48

旋转图像

Rotate an n x n matrix 90 degrees clockwise in-place using array manipulation and mathematical indexing techniques effic…

中等
66

加一

Given a number as an array of digits, increment it by one and return the updated array of digits.

简单
204

计数质数

Count all prime numbers less than a given integer n using efficient array and math-based enumeration techniques.

中等
335

路径交叉

Determine if a path defined by sequential distances on a 2D plane crosses itself using array and math reasoning.

困难
384

打乱数组

Shuffle an Array requires designing a class to randomly permute an integer array while ensuring all permutations are equ…

中等
453

最小操作次数使数组元素相等

Compute the fewest steps to make all elements equal by incrementing n-1 array items, applying array and math reasoning.

中等
462

最小操作次数使数组元素相等 II

Find the minimum moves to equalize all array elements using increments or decrements with array and math techniques.

中等
477

汉明距离总和

Calculate the total Hamming distance between all pairs in an integer array using efficient bit manipulation techniques.

中等
539

最小时间差

Calculate the smallest time difference between clock points using array manipulation and mathematical conversions effici…

中等
587

安装栅栏

Find the perimeter fence of a garden by determining the outermost trees in a set of given tree coordinates.

困难
598

区间加法 II

Range Addition II requires counting maximum values in a matrix after incremental operations using array and math reasoni…

简单
628

三个数的最大乘积

Find three numbers in an array whose product is the largest using sorting and careful handling of negative values.

简单
667

优美的排列 II

Construct a beautiful arrangement of integers from 1 to n with k distinct integers, optimizing for time and space effici…

中等
775

全局倒置与局部倒置

Determine if every global inversion in a permutation array is also a local inversion using array and math logic efficien…

中等
782

变为棋盘

Determine the minimum swaps of rows or columns to convert an n x n binary board into a valid chessboard configuration.

困难
789

逃脱阻碍者

Escape The Ghosts tests your ability to analyze movements in an infinite grid while racing against ghost positions using…

中等
810

黑板异或游戏

The Chalkboard XOR Game is a game theory problem involving array manipulation and bitwise XOR, where players alternate e…

困难
812

最大三角形面积

Find the area of the largest triangle formed by three distinct points on a 2D plane.

简单
843

猜猜这个单词

Master the Guess the Word problem by applying array manipulation, match-counting math, and strategic interactive guessin…

困难
883

三维形体投影面积

Calculate the projection area of a 3D shape defined by a grid of towers with varying heights.

简单
891

子序列宽度之和

Calculate the sum of widths for all subsequences in an integer array using sorting and combinatorial math efficiently.

困难
892

三维形体的表面积

Solve the Surface Area of 3D Shapes problem using array manipulation and mathematical formulas to calculate surface area…

简单
908

最小差值 I

Find the smallest score of an array after applying an operation to each element within a given range.

简单
927

三等分

Divide a binary array into three contiguous parts such that each part represents the same integer value in binary, using…

困难

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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 数组·数学模式题解:111题训练路线