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Binary Search

Binary Search
๋ณดํ†ต ์•Œ๊ณ ๋ฆฌ์ฆ˜ +20pts

Problem

Implement binary search to find a target in a sorted array. Return the index or -1 if not found.

Examples

Input: binarySearch([1, 2, 3, 4, 5], 3)
Output: 2
Input: binarySearch([1, 2, 3, 4, 5], 6)
Output: -1

Explanation

์ด ๋ฌธ์ œ๋Š” **์ด์ง„ ํƒ์ƒ‰(Binary Search)** ์•Œ๊ณ ๋ฆฌ์ฆ˜์„ ํ•™์Šตํ•ฉ๋‹ˆ๋‹ค. ์ •๋ ฌ๋œ ๋ฐฐ์—ด์—์„œ O(log n) ์‹œ๊ฐ„์— ์›์†Œ๋ฅผ ์ฐพ๋Š” ํšจ์œจ์ ์ธ ๋ฐฉ๋ฒ•์ž…๋‹ˆ๋‹ค. **์ด์ง„ ํƒ์ƒ‰์˜ ํ•ต์‹ฌ ์›๋ฆฌ** ์ •๋ ฌ๋œ ๋ฐฐ์—ด์—์„œ ์ค‘๊ฐ„๊ฐ’์„ ํ™•์ธํ•˜๊ณ , ์ฐพ๋Š” ๊ฐ’์ด ์ค‘๊ฐ„๊ฐ’๋ณด๋‹ค ํฌ๋ฉด ์˜ค๋ฅธ์ชฝ ์ ˆ๋ฐ˜, ์ž‘์œผ๋ฉด ์™ผ์ชฝ ์ ˆ๋ฐ˜๋งŒ ํƒ์ƒ‰ํ•ฉ๋‹ˆ๋‹ค. ๋งค ๋‹จ๊ณ„๋งˆ๋‹ค ํƒ์ƒ‰ ๋ฒ”์œ„๊ฐ€ ์ ˆ๋ฐ˜์œผ๋กœ ์ค„์–ด๋“ญ๋‹ˆ๋‹ค. **์•Œ๊ณ ๋ฆฌ์ฆ˜ ๋‹จ๊ณ„** 1. left=0, right=length-1๋กœ ์‹œ์ž‘ 2. mid = (left + right) / 2 ๊ณ„์‚ฐ 3. arr[mid]์™€ target ๋น„๊ต: - ๊ฐ™์œผ๋ฉด: mi...

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Key Concepts

์ด์ง„ ํƒ์ƒ‰ ์•Œ๊ณ ๋ฆฌ์ฆ˜ left/right ํฌ์ธํ„ฐ ๋ถ„ํ•  ์ •๋ณต O(log n) ์‹œ๊ฐ„๋ณต์žก๋„
Time: O(log n) Space: O(1)
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