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Solve: climbing stairs
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โ€Žclimbing-stairs/Jay-Mo-99.py

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๏ปฟ #ํ•ด์„
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#ํ”ผ๋ณด๋‚˜์น˜ ์ˆ˜์—ด์„ ์ด์šฉํ•˜์—ฌ ํŠน์ • ๋ฒ”์œ„๋งˆ๋‹ค 1๊ณผ 2๋ฅผ ํ™œ์šฉํ•œ ๋ฐฉ๋ฒ•์˜ ์ˆ˜๋ฅผ ๊ณ„์‚ฐํ•œ๋‹ค.
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#a=1, a=2 ๋กœ ์ดˆ๊ธฐ ์…‹ํŒ… ํ›„ ๋ฐ˜๋ณต๋ฌธ๋งˆ๋‹ค a์™€ b๋ฅผ ์—…๋ฐ์ดํŠธ ํ•œ๋‹ค.
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# a๋Š” ํ˜„์žฌ ๊ณ„๋‹จ์˜ ๊ฒฝ์šฐ์˜ ์ˆ˜, b๋Š” ๋‹ค์Œ ๊ณ„๋‹จ์˜ ๊ฒฝ์šฐ์˜ ์ˆ˜๋กœ ์„ค์ •ํ•œ๋‹ค.
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# ๋ฐ˜๋ณต๋ฌธ์˜ ๊ฒฐ๊ณผ๋กœ n๋ฒˆ์งธ ๊ณ„๋‹จ์„ ์˜ค๋ฅด๋Š” ๋ฐฉ๋ฒ•์˜ ์ˆ˜(a)๋ฅผ ๋ฐ˜ํ™˜ํ•œ๋‹ค.
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#Big O
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#N: ๋งค๊ฐœ๋ณ€์ˆ˜ n์˜ ํฌ๊ธฐ(๊ณ„๋‹จ ๊ฐฏ์ˆ˜)
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#Time Complexity: O(N)
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#- for loop ๋Š” n-1๋ฒˆ : O(N)
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#Space Complexity: O(1)
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#- ์ƒ์ˆ˜ a,b๋งŒ ์‚ฌ์šฉ : O(1)
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class Solution(object):
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def climbStairs(self, n):
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"""
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:type n: int
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:rtype: int
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"""
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a,b = 1,2 #F(0) = 1, F(1) =2
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for i in range(1,n):
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a,b = b, a+b #Update a and b each iteration
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#Fn = Fn-1 + Fn-2
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return a
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