알고리즘 읽기 노트

Merge Sort

Merge sort uses divide and conquer: split the array until pieces are trivial, then merge sorted pieces back together.

유형알고리즘카테고리Sorting깊이초급일반적인 복잡도O(n log n)

짧은 면접 답변

이 멘탈 모델부터 시작하세요

Merge sort uses divide and conquer: split the array until pieces are trivial, then merge sorted pieces back together.

간단한 설명

불필요한 전문용어 없이 동작 방식 이해하기

The merge step is linear because each side is already sorted.

There are log n levels of splitting, so total time is O(n log n). Standard array implementations use O(n) extra memory.

실행

알고리즘을 연속된 의사결정으로 읽기

Understand what one pass/partition/merge guarantees.

Track which region is already finalized.

Reason about comparisons, swaps/moves and extra memory.

기억해 둘 작은 예제

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

읽기 쉬운 JavaScript 구현JavaScript

function mergeSort(a) {
  if (a.length <= 1) return a;
  const mid = Math.floor(a.length / 2);
  return merge(mergeSort(a.slice(0, mid)), mergeSort(a.slice(mid)));
}

function merge(left, right) {
  const out = [];
  let i = 0, j = 0;
  while (i < left.length && j < right.length) {
    out.push(left[i] <= right[j] ? left[i++] : right[j++]);
  }
  return out.concat(left.slice(i), right.slice(j));
}

이 코드를 읽는 방법

문법을 외우지 마세요. 각 줄에서 바뀌는 상태를 따라가고 위에서 설명한 불변식과 연결하세요.

복잡도

O(n log n)

Do not quote this complexity mechanically.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.

언제 사용하는가

적합한 경우

Choose based on input size, order, key range, stability and memory limits.

흔한 실수

보통 어디에서 문제가 생기는가

Comparing only average Big-O.
Forgetting stability, in-place behavior, recursion depth or key-domain assumptions.

면접에서 설명하는 방법

전문적인 답변 구조

Highlight predictable O(n log n), stability, and the extra-memory trade-off. It is also natural for linked lists and external sorting.

문제→핵심 아이디어→불변식 / 상태→Big-O→트레이드오프

빠른 면접 체크

What problem does Merge Sort solve?

Merge sort uses divide and conquer: split the array until pieces are trivial, then merge sorted pieces back together.

복잡도에 대해 무엇을 언급해야 하나요?

Its typical cost here is O(n log n), but a complete answer should connect that cost to the representation, input constraints and the dominant operations.

가장 흔한 실수는 무엇인가요?

Comparing only average Big-O.

계속 읽기Stable sortingIn-place sortingDivide and conquer

function mergeSort(a) { if (a.length <= 1) return a; const mid = Math.floor(a.length / 2); return merge(mergeSort(a.slice(0, mid)), mergeSort(a.slice(mid))); } function merge(left, right) { const out = []; let i = 0, j = 0; while (i < left.length && j < right.length) { out.push(left[i] <= right[j] ? left[i++] : right[j++]); } return out.concat(left.slice(i), right.slice(j)); }