[BaekJoon] 2805 ๋‚˜๋ฌด์ž๋ฅด๊ธฐ

2022. 4. 11. 10:22ยท๐Ÿ’ฏ CodingTest/BaekJoon

[์ถœ์ฒ˜ : https://www.acmicpc.net/problem/2805]

 

 

n, m = map(int,input().split())

treeHeight = list(map(int, input().split()))

# ์ ์–ด๋„ M๋ฏธํ„ฐ์˜ ๋‚˜๋ฌด๋ฅผ ์ง‘์— ๊ฐ€์ ธ๊ฐ€๊ธฐ ์œ„ํ•ด์„œ ์ ˆ๋‹จ๊ธฐ์— ์„ค์ •ํ•  ์ˆ˜ ์žˆ๋Š” ๋†’์ด์˜ ์ตœ๋Œ“๊ฐ’์„ ์ถœ๋ ฅํ•œ๋‹ค.
treeHeight.sort()
resultList=list()

def binarySearch(data, m2):
    low = 1
    # m์€ 1<= m <= 2,000,000,000
    high = data[len(data)-1]
    # n๋„ 1์ด์ƒ์ด๊ธฐ์— ์ž…๋ ฅ๋œ ๋ฐ์ดํ„ฐ์ค‘ ๊ฐ€์žฅ ํฐ๊ฐ’์˜ ๊ฒฝ์šฐ ๊ทธ ๊ฐ’๋ณด๋‹ค 1 ๋” ์ž‘์€๊ฐ’๋ถ€ํ„ฐ ๊ทธ ๋ฐ‘์˜ ๊ฐ’๊นŒ์ง€ ํƒ์ƒ‰ํ•˜๋ฉด ๋˜๋ฏ€๋กœ ๊ฐ€์žฅ ํฐ๊ฐ’์„ ๋๊ฐ’์œผ๋กœ ์ง€์ •ํ•ด์ฃผ๋ฉด ๋œ๋‹ค.
    result = 0

    while low <= high:      
        mid = (low + high) // 2
        # ์—ฌ๊ธฐ์„œ์˜ mid ๊ฐ’์ด ์ ˆ๋‹จ๊ธฐ์— ์„ค์ •ํ•  ๋†’์ด H
        totalM = 0
        for tree in data:
            if tree > mid:
                totalM += (tree - mid)
            # tree๊ธธ์ด๊ฐ€ mid ๋ณด๋‹ค ํด๋•Œ๋งŒ ๋นผ์ฃผ๋„๋ก ์กฐ๊ฑด๋ฌธ ์„ค์ • => totalM์— ์Œ์ˆ˜๊ฐ’์„ ๋”ํ•˜์ง€ ์•Š๋„๋ก

        if totalM >= m2:
            # mid(H) ๊ฐ’์„ ๋†’์—ฌ์„œ ํƒ์ƒ‰ํ•ด์•ผํ•จ
            if result < mid :
                result = mid
            low = mid + 1
        else:
            high = mid - 1
    return result

#print(max(resultList))
#์ด๋ ‡๊ฒŒ max () ๋ฅผ ์‚ฌ์šฉํ–ˆ์„๋•Œ ์ฝœ์Šคํƒ ์ดˆ๊ณผ๊ฐ€ ๋‚˜๋Š” ๊ฒฝ์šฐ๊ฐ€ ์žˆ์„ ์ˆ˜๋„ ์žˆ์Œ ๋”ฐ๋ผ์„œ ๊ฐ’์„ ๊ณ„์† ๋ณ€๊ฒฝํ•ด์ค„๊ฒƒ.
# mix ๋‚˜ max์˜ ์ธ์ž์— ์ œํ•œ์ด ์—†๋Š”๊ฒƒ ๊ฐ™์ง€๋งŒ ์‹ค์ œ ์ธ์ž๊ฐ€ ๋ฌด์ˆ˜ํžˆ ๋งŽ์•„์ง€๊ฒŒ ๋œ๋‹ค๋ฉด ์ฝœ์Šคํƒ ์ดˆ๊ณผ ์—๋Ÿฌ๊ฐ€ ๋ฐœ์ƒํ•  ์ˆ˜ ์žˆ๋‹ค.

print(binarySearch(treeHeight, m))

 

๋ฌธ์ œํ’€์ด

 

1. ์ดˆ๊ธฐ ์ž…๋ ฅ ์ฒ˜๋ฆฌ => treeHeight์— ๋‚˜๋ฌด ๊ธธ์ด ์ €์žฅ

2. ์ด์ง„ํƒ์ƒ‰ ๋ฉ”์„œ๋“œ ๊ตฌํ˜„ => ๋‚˜๋ฌด์˜ ๊ธธ์ด๋Š” ์ตœ์†Œ 1์ด๊ธฐ ๋•Œ๋ฌธ์— 1 ~ ์ตœ๋Œ€๊ฐ’๊นŒ์ง€ ํƒ์ƒ‰

3.  ๋‚˜๋ฌด๊ฐ€ mid ๋ณด๋‹ค ํด๋•Œ ๋‚˜๋ฌด์˜ ๊ธธ์ด์—์„œ mid๋ฅผ ๋นผ์ค€๊ฐ’์„ tatalM์— ์ €์žฅํ•˜๊ณ  totalM์ด ๊ธฐ์ค€๊ฐ’ m2 ๋ณด๋‹ค ํด๋•Œ result์™€ mid ๊ฐ’์„ ๋น„๊ต => ์—ฌ๊ธฐ์„œ result์˜ ์ตœ์†Œ๊ฐ’์„ ์ฐพ์•„์•ผํ•˜๊ธฐ์— result์— mid ๊ฐ’์„ ์ €์žฅ

4. ์ดํ›„ ๊ฒฐ๊ณผ๋ฅผ ์ถœ๋ ฅ

 

+) ์ดˆ๊ธฐ ๊ฒฐ๊ณผ ์ถœ๋ ฅ์— ์žˆ์–ด์„œ ๋ชจ๋“  ๊ฐ€๋Šฅํ•œ mid ๊ฐ’์˜ ๊ฒฐ๊ณผ๋ฅผ resultList์— ์ €์žฅํ•˜๊ณ  max ํ˜น์€ min์„ ์ด์šฉํ•ด ์ถœ๋ ฅํ•ด์ฃผ๋ฉด ๊ฐ„ํ˜น runtime error ๊ฐ€ ๋ฐœ์ƒํ•  ์ˆ˜ ์žˆ๋‹ค. ์ด๋Š” ์ฝœ์Šคํƒ ์ดˆ๊ณผ ์˜ค๋ฅ˜๊ฐ€ ๋ฐœ์ƒํ•œ ๊ฒฝ์šฐ์ด๊ธฐ ๋•Œ๋ฌธ์— ๊ฐ€๋Šฅํ•œ ์‚ฌ์šฉ์„ ์ž์ œํ•˜๋Š” ๊ฒƒ์ด ์ข‹๋‹ค..(๊ทธ๋ž˜๋„ ์‚ฌ์šฉํ•  ์ˆ˜ ์žˆ์œผ๋ฉด ํ•ด์•ผ๊ฒ ์ง€๋งŒ)

 

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