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feat: add same tree solution
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โ€Žsame-tree/mangodm-web.pyโ€Ž

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from typing import Optional
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# Definition for a binary tree node.
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class TreeNode:
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def __init__(self, val=0, left=None, right=None):
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self.val = val
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self.left = left
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self.right = right
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class Solution:
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def isSameTree(self, p: Optional[TreeNode], q: Optional[TreeNode]) -> bool:
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"""
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- Idea: ๋‘ ํŠธ๋ฆฌ๋Š” ๊ตฌ์กฐ๊ฐ€ ๊ฐ™๊ณ , ๊ฐ ๋…ธ๋“œ์˜ ๊ฐ’์ด ๊ฐ™์•„์•ผ ๊ฐ™์€ ํŠธ๋ฆฌ๋ผ๊ณ  ๊ฐ„์ฃผํ•œ๋‹ค.
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์ด๋ฅผ ํ™•์ธํ•˜๊ธฐ ์œ„ํ•ด ์žฌ๊ท€์ ์œผ๋กœ ๊ฐ ๋…ธ๋“œ๋ฅผ ๋น„๊ตํ•œ๋‹ค.
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- Time Complexity: O(n). n์€ ํŠธ๋ฆฌ์˜ ๋…ธ๋“œ ์ˆ˜.
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๋‘ ํŠธ๋ฆฌ์˜ ๋ชจ๋“  ๋…ธ๋“œ๋ฅผ ๋น„๊ตํ•ด์•ผ ํ•˜๋ฏ€๋กœ O(n)์ด ์†Œ์š”๋œ๋‹ค.
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- Space Complexity: O(n). n์€ ๋ฆฌ์ŠคํŠธ์˜ ๋…ธ๋“œ ์ˆ˜.
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์žฌ๊ท€ ํ˜ธ์ถœ๋กœ ์ธํ•ด ํ˜ธ์ถœ ์Šคํƒ์„ ์œ„ํ•œ ๊ณต๊ฐ„์ด ํ•„์š”ํ•˜๋ฉฐ, ์ตœ์•…์˜ ๊ฒฝ์šฐ O(n)๊นŒ์ง€ ํ•„์š”ํ•  ์ˆ˜ ์žˆ๋‹ค.
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"""
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if not p and not q:
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return True
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if not p or not q or p.val != q.val:
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return False
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is_left_equal = self.isSameTree(p.left, q.left)
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is_right_equal = self.isSameTree(p.right, q.right)
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return is_left_equal and is_right_equal

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