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| 1 | +class Solution: |
| 2 | + def threeSumSet(self, nums: List[int]) -> List[List[int]]: |
| 3 | + """ |
| 4 | + Intuition: |
| 5 | + ๋ ๊ฐ์ ๋ํ๊ณ , ์ธํธ ์์ ๊ฐ์์ 0์ ๋ง์กฑ์ํค๋ ๊ฐ์ด ์์ ๊ฒฝ์ฐ |
| 6 | + ์ ๋ต์ ์ถ๊ฐํ๋ค. |
| 7 | + ์ธํธ(ํด์)์ ์ ๊ทผ์ด O(1) ์์ ์ด์ฉํ๋ค. |
| 8 | +
|
| 9 | + Time Complexity: |
| 10 | + O(N^2): |
| 11 | + 2์ค for๋ฌธ์ด ์์ผ๋ฏ๋ก, O(N^2)์ด๋ค. |
| 12 | + for๋ฌธ ๋ด๋ถ์ ์๊ฐ๋ณต์ก๋์ ์ํฅ์ ์ค๋งํ ์ฝ๋๋ ์์ผ๋ฉฐ |
| 13 | + ์ ๋ ฌ์ O(3 log 3)์ด๋ฏ๋ก ๋ฌด์ ๊ฐ๋ฅํ๋ค. |
| 14 | +
|
| 15 | + Space Complexity: |
| 16 | + O(N): |
| 17 | + ์ค๋ณต๋ ๊ฐ์ด ์๋ค๋ฉด seen ์ธํธ๋ N - 1๊ฐ์ ๊ฐ์ ์ ์ฅํ๋ค. |
| 18 | +
|
| 19 | + Key takeaway: |
| 20 | + ํด์๋ฅผ ์ด์ฉํ ํ์ด๋ ์ ๋ชปํ์ด์ ์กฐ๊ธ ๋ ์ฐ์ตํด์ผ๊ฒ ๋ค. |
| 21 | + ๋ํ, ๋ฆฌ์คํธ๋ฅผ ํด์ํ๊ธฐ ์ํด tuple๋ก ๋ณํํ๋ ๊ฒ์ ๋ํด์ ์ฒ์ ์์๋ค. |
| 22 | + """ |
| 23 | + answer = set() |
| 24 | + for i in range(len(nums) - 2): |
| 25 | + seen = set() |
| 26 | + for j in range(i + 1, len(nums)): |
| 27 | + complement = -(nums[i] + nums[j]) |
| 28 | + if complement in seen: |
| 29 | + answer.add(tuple(sorted([nums[i], nums[j], complement]))) |
| 30 | + seen.add(nums[j]) |
| 31 | + |
| 32 | + return list(answer) |
| 33 | + |
| 34 | + |
| 35 | +class Solution: |
| 36 | + def threeSumTwoPointer(self, nums: List[int]) -> List[List[int]]: |
| 37 | + """ |
| 38 | + Intuition: |
| 39 | + i๋ฅผ for๋ฌธ์ผ๋ก ์ฆ๊ฐ์ํค๋ฉด์, ๋งค iteration๋ง๋ค two pointer๋ฅผ ์ฌ์ฉํ๋ค. |
| 40 | +
|
| 41 | + Time Complexity: |
| 42 | + O(N^2): |
| 43 | + 2์ค for๋ฌธ์ด ์์ผ๋ฏ๋ก, O(N^2)์ด๋ค. |
| 44 | + for๋ฌธ ๋ด๋ถ์ ์๊ฐ๋ณต์ก๋์ ์ํฅ์ ์ค๋งํ ์ฝ๋๋ ์์ผ๋ฉฐ |
| 45 | + ์ ๋ ฌ์ O(3 log 3)์ด๋ฏ๋ก ๋ฌด์ ๊ฐ๋ฅํ๋ค. |
| 46 | +
|
| 47 | + Space Complexity: |
| 48 | + O(1): |
| 49 | + ํฌ์ธํฐ 3๊ฐ๋ง์ ์ฌ์ฉํ๋ฏ๋ก, ๊ณต๊ฐ ๋ณต์ก๋๋ O(1)์ด๋ค. |
| 50 | +
|
| 51 | + Key takeaway: |
| 52 | + ํฌํฌ์ธํฐ๋ฅผ ์์ฉํ ๋ฌธ์ ์์ ๋ ์ฌ๋ฆฌ๊ธด ํ์ผ๋, |
| 53 | + nested two pointer์์ ์ธ์งํ์ง ๋ชปํ๋ค. |
| 54 | + ์ด๋ฌํ ๊ฒฝ์ฐ์๋ ๋ ๊ณ ๋ฏผ์ ํด๋ด์ผ๊ฒ ๋ค. |
| 55 | + """ |
| 56 | + nums.sort() |
| 57 | + |
| 58 | + answer = set() |
| 59 | + for i in range(len(nums) - 2): |
| 60 | + # ๋ง์ฝ i๊ฐ ์ด์ ์ ๊ฐ๊ณผ ์ค๋ณต๋ ๊ฐ์ด๋ผ๋ฉด ์ด ์์
์ ํ์ ์๋ค. |
| 61 | + if i > 0 and nums[i] == nums[i - 1]: |
| 62 | + continue |
| 63 | + |
| 64 | + j = i + 1 |
| 65 | + k = len(nums) - 1 |
| 66 | + while j < k: |
| 67 | + if nums[i] + nums[j] + nums[k] == 0: |
| 68 | + answer.add(tuple(sorted([nums[i], nums[j], nums[k]]))) |
| 69 | + j += 1 |
| 70 | + elif nums[i] + nums[j] + nums[k] > 0: |
| 71 | + k -= 1 |
| 72 | + else: |
| 73 | + j += 1 |
| 74 | + |
| 75 | + return list(answer) |
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