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← 算法资料库/Strings/Palindrome
算法阅读笔记

Palindrome

A palindrome reads the same forward and backward after applying the problem's normalization rules.

类型算法分类Strings深度初级典型复杂度Varies by implementation / input constraints
简短面试回答

先从这个心智模型开始

A palindrome reads the same forward and backward after applying the problem's normalization rules.

01
简单解释

它如何工作,不堆砌不必要的术语

01

Two pointers can compare characters from both ends in O(n) time and O(1) extra space if normalization is done in-place/logically.

02

Always clarify whether spaces, punctuation and letter case should be ignored.

02
执行过程

把算法读成一连串决策

01

Clarify Unicode/case/normalization assumptions.

02

Define indexes or prefix state.

03

Reuse previously learned match information when the algorithm allows it.

记住一个小例子

Read a tiny input by hand and write down the state after every important operation. For Palindrome, the goal is to make the invariant visible rather than to memorize code.

易读的 JavaScript 实现JavaScript
function isPalindrome(text) {
  const s = text.toLowerCase().replace(/[^a-z0-9]/g, "");
  let l = 0, r = s.length - 1;
  while (l < r) {
    if (s[l++] !== s[r--]) return false;
  }
  return true;
}
如何阅读这段代码

不要死记语法。跟踪每一行中发生变化的状态,并把它与上面描述的不变量联系起来。

复杂度

Varies by implementation / input constraints

Do not quote this complexity mechanically. Ask which operation or input dimension it describes, then derive the cost from the loops, recursion depth, data-structure operations and any preprocessing assumptions.

03
何时使用

适用场景

  • Use specialized matching algorithms when repeated or large-string searching makes naive scanning too expensive.
04
常见错误

通常哪里会出错

  • Ignoring Unicode semantics.
  • Confusing substring with subsequence.
  • Off-by-one prefix/index bugs.
面试中如何解释

专业回答结构

Clarify input rules first; many wrong solutions solve a different normalization problem than the interviewer asked.

问题→核心思路→不变量 / 状态→Big-O→权衡
快速面试检查

What problem does Palindrome solve?

A palindrome reads the same forward and backward after applying the problem's normalization rules.

关于复杂度应该提到什么?

Its typical cost here is Varies by implementation / input constraints, but a complete answer should connect that cost to the representation, input constraints and the dominant operations.

最常见的错误是什么?

Ignoring Unicode semantics.

继续阅读Prefix functionsDynamic programmingRolling hash
来源与延伸阅读

本课程为安静学习和面试准备独立编写,主题目录参考 trekhleb/javascript-algorithms。上游仓库包含原始实现、测试以及每个主题的 README 参考资料。

打开上游仓库 ↗
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