Programming language/Python

[python] heapq(ํž™ํ, ์šฐ์„ ์ˆœ์œ„ํ)

deo2kim 2020. 8. 26. 20:26
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๐Ÿ“—heapq๋ž€?

๊ฐ„๋‹จํ•˜๊ฒŒ ๋ฆฌ์ŠคํŠธ๋‚ด์—์„œ ๊ฐ€์žฅ ์ž‘์€ ๊ฐ’์ด ๋งจ์ฒ˜์Œ์œ„์น˜(์ธ๋ฑ์Šค 0)์•  ์˜ค๊ฒŒ ํ•ด์ฃผ๋Š” ๋‚ด์žฅ ๋ชจ๋“ˆ

์šฐ์„ ์ˆœ์œ„ ํ๋ผ๊ณ  ์•Œ๋ฉด ์‰ฝ๋‹ค.

 

๐Ÿ”ต ์‹œ์ž‘ํ•˜๊ธฐ

import heapq

 

๐Ÿ”ต ์„ ์–ธํ•˜๊ธฐ

๋ณดํ†ต ๋ฆฌ์ŠคํŠธ๋ฅผ ์„ ์–ธํ•˜๋Š” ๊ฒƒ์ฒ˜๋Ÿผ ๋งŒ๋“ ๋‹ค.

heap_list = []

 

๐Ÿ”ต ์›์†Œ ์ถ”๊ฐ€ํ•˜๊ธฐ ( heapq.heappush(๋ฆฌ์ŠคํŠธ, ๊ฐ’ ))

- ์•„๋ž˜ ๋ณด์ด๋Š” ๊ฒƒ ์ฒ˜๋Ÿผ ๊ฐ€์žฅ ์ž‘์€ ๊ฐ’์ด ๋งจ ์ฒ˜์Œ ์œ„์น˜์— ์™”๋‹ค.

์‹œ๊ฐ„๋ณต์žก๋„ O(logn)

heapq.heappush(heap_list, 5)
heapq.heappush(heap_list, 10)
heapq.heappush(heap_list, 99)
heapq.heappush(heap_list, 2)

print(heap_list) # [2, 5, 99, 10]

 

๐Ÿ”ต ์›์†Œ ์‚ญ์ œํ•˜๊ธฐ ( heapq.heappop(๋ฆฌ์ŠคํŠธ) )

- ์ œ์ผ ์ฒ˜์Œ์— ์žˆ๋Š” ๊ฐ’์ด ์‚ญ์ œ๋˜๋ฉด์„œ ๊ทธ ๊ฐ’์„ ๋ฆฌํ„ดํ•œ๋‹ค. ๊ฐ’์„ ์‚ญ์ œํ•˜๊ณ  ๋‹ค์‹œ ์ถœ๋ ฅํ•ด๋ณด๋‹ˆ ํž™์ด ์ •๋ ฌ ๋˜์–ด ์žˆ๋‹ค. 

์‹œ๊ฐ„๋ณต์žก๋„ O(logn)

print(heapq.heappop(heap_list))  # [2, 5, 99, 10]
print(heap_list)  # [5, 10, 99] 
a = heapq.heappop(heap_list)
print(a)  # 5

 

๐Ÿ”ต ๊ธฐ์กด์˜ ๋ฆฌ์ŠคํŠธ๋ฅผ ํž™์œผ๋กœ ๋ณ€ํ™˜ํ•˜๊ธฐ ( heapq.heapify(๋ฆฌ์ŠคํŠธ) )

์‹œ๊ฐ„๋ณต์žก๋„ O(n)

ano_list = [9, 8, 7, 6, 5, 4, 1, 2, 5]
heapq.heapify(ano_list)
print(ano_list)  # [1, 2, 4, 5, 5, 9, 7, 6, 8]

 

๐Ÿ”ต ์ตœ๋Œ€๊ฐ’ ๊ตฌํ•˜๊ธฐ! (์‘์šฉ)

- ๊ฐ’๋“ค์„ ํŠœํ”Œ ํ˜•ํƒœ๋กœ ๋„ฃ์–ด์ค€๋‹ค. ํŠœํ”Œํ˜•ํƒœ๋กœ ๋„ฃ์–ด์ฃผ๋ฉด ํŠœํ”Œ์˜ 0๋ฒˆ์งธ ์ธ๋ฑ์Šค๋ฅผ ๊ธฐ์ค€์œผ๋กœ ํž™์ •๋ ฌ์ด ๋œ๋‹ค.

numbers = [1,5,9,3,7,6,4,2,8]
max_list = []
for number in numbers:
    heapq.heappush(max_list, (-number, number)) # ( ์šฐ์„ ์ˆœ์œ„, -๋ฅผ ๋ถ™์ด๋ฉด ๊ฐ€์žฅ ํฐ ๊ฐ’์ด ๊ฐ€์žฅ ์ž‘์•„์ง„๋‹ค. ์‹ค์ œ ๊ฐ’)

while max_list:
    print(heapq.heappop(max_list)[1])
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