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14 ljedd2 #170

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@LJEDD2 LJEDD2 commented Sep 28, 2024

๐Ÿ”— ๋ฌธ์ œ ๋งํฌ

๋ฐฑ์ค€ ํ | BOJ 2161 ์นด๋“œ1

๋ฌธ์ œ ์„ค๋ช…
N์žฅ์˜ ์นด๋“œ๊ฐ€ ์žˆ๋‹ค. ๊ฐ๊ฐ์˜ ์นด๋“œ๋Š” ์ฐจ๋ก€๋กœ 1๋ถ€ํ„ฐ N๊นŒ์ง€์˜ ๋ฒˆํ˜ธ๊ฐ€ ๋ถ™์–ด ์žˆ์œผ๋ฉฐ, 1๋ฒˆ ์นด๋“œ๊ฐ€ ์ œ์ผ ์œ„์—, N๋ฒˆ ์นด๋“œ๊ฐ€ ์ œ์ผ ์•„๋ž˜์ธ ์ƒํƒœ๋กœ ์ˆœ์„œ๋Œ€๋กœ ์นด๋“œ๊ฐ€ ๋†“์—ฌ ์žˆ๋‹ค.

์ด์ œ ๋‹ค์Œ๊ณผ ๊ฐ™์€ ๋™์ž‘์„ ์นด๋“œ๊ฐ€ ํ•œ ์žฅ ๋‚จ์„ ๋•Œ๊นŒ์ง€ ๋ฐ˜๋ณตํ•˜๊ฒŒ ๋œ๋‹ค.

  1. ์ œ์ผ ์œ„์— ์žˆ๋Š” ์นด๋“œ๋ฅผ ๋ฐ”๋‹ฅ์— ๋ฒ„๋ฆฐ๋‹ค.
  2. ์ œ์ผ ์œ„์— ์žˆ๋Š” ์นด๋“œ๋ฅผ ์ œ์ผ ์•„๋ž˜์— ์žˆ๋Š” ์นด๋“œ ๋ฐ‘์œผ๋กœ ์˜ฎ๊ธด๋‹ค.

์˜ˆ๋ฅผ ๋“ค์–ด N=4์ธ ๊ฒฝ์šฐ๋ฅผ ์ƒ๊ฐํ•ด ๋ณด์ž.
์นด๋“œ๋Š” ์ œ์ผ ์œ„์—์„œ๋ถ€ํ„ฐ 1234 ์˜ ์ˆœ์„œ๋กœ ๋†“์—ฌ์žˆ๋‹ค. 1์„ ๋ฒ„๋ฆฌ๋ฉด 234๊ฐ€ ๋‚จ๋Š”๋‹ค.
์—ฌ๊ธฐ์„œ 2๋ฅผ ์ œ์ผ ์•„๋ž˜๋กœ ์˜ฎ๊ธฐ๋ฉด 342๊ฐ€ ๋œ๋‹ค.
3์„ ๋ฒ„๋ฆฌ๋ฉด 42๊ฐ€ ๋˜๊ณ , 4๋ฅผ ๋ฐ‘์œผ๋กœ ์˜ฎ๊ธฐ๋ฉด 24๊ฐ€ ๋œ๋‹ค.
๋งˆ์ง€๋ง‰์œผ๋กœ 2๋ฅผ ๋ฒ„๋ฆฌ๊ณ  ๋‚˜๋ฉด,

๋ฒ„๋ฆฐ ์นด๋“œ๋“ค์€ ์ˆœ์„œ๋Œ€๋กœ 1 3 2๊ฐ€ ๋˜๊ณ , ๋‚จ๋Š” ์นด๋“œ๋Š” 4๊ฐ€ ๋œ๋‹ค.

N์ด ์ฃผ์–ด์กŒ์„ ๋•Œ, ๋ฒ„๋ฆฐ ์นด๋“œ๋“ค์„ ์ˆœ์„œ๋Œ€๋กœ ์ถœ๋ ฅํ•˜๊ณ , ๋งˆ์ง€๋ง‰์— ๋‚จ๊ฒŒ ๋˜๋Š” ์นด๋“œ๋ฅผ ์ถœ๋ ฅํ•˜๋Š” ํ”„๋กœ๊ทธ๋žจ์„ ์ž‘์„ฑํ•˜์‹œ์˜ค.

์ œํ•œ ์กฐ๊ฑด

  • ์ฒซ์งธ ์ค„์— ์ •์ˆ˜ N(1 โ‰ค N โ‰ค 1,000)์ด ์ฃผ์–ด์ง

โœ”๏ธ ์†Œ์š”๋œ ์‹œ๊ฐ„

40๋ถ„ +@

โœจ ์ˆ˜๋„ ์ฝ”๋“œ

์š”์„ธํ‘ธ์Šค(Josephus) ๋ฌธ์ œ์™€ ๋น„์Šทํ•œ ๋ฌธ์ œ์ž…๋‹ˆ๋‹ค.
์ƒ๊ฐ๋ณด๋‹ค ๋ฌธ์ œ ์ง€๋ฌธ์„ ๊ทธ๋Œ€๋กœ ๊ตฌํ˜„ํ•˜๋ฉด ๋˜๋Š” ๋ฌธ์ œ๋ผ ์„ค๋ช…ํ•  ๊ฒƒ์ด ๋งŽ์ด ์—†๋„ค์š” ...

collections ๋ชจ๋“ˆ์—์„œ deque๋ฅผ ์ž„ํฌํŠธํ•˜์—ฌ ํšจ์œจ์ ์ธ ํ ์—ฐ์‚ฐ ๋ฐฉ์‹์„ ์‚ฌ์šฉํ•˜์˜€์Šต๋‹ˆ๋‹ค. ์–‘ ๋์—์„œ์˜ ์‚ฝ์ž…๊ณผ ์‚ญ์ œ๋ฅผ O(1) ์‹œ๊ฐ„์— ์ˆ˜ํ–‰ํ•  ์ˆ˜ ์žˆ๋Š” ์žฅ์ ์ด ์žˆ์Šต๋‹ˆ๋‹ค.
queue.popleft() , queue.append() ๋ฅผ ์‚ฌ์šฉํ•˜์˜€์Šต๋‹ˆ๋‹ค.

์นด๋“œ ๋ฐฐ์—ด์„ ๋งŒ๋“  ๋’ค ์•ž์นด๋“œ๋ฅผ ๋ฒ„๋ฆฌ๊ณ  ๋‘๋ฒˆ์จฐ ์นด๋“œ๋ฅผ ๋’ค์— ์ถ”๊ฐ€ํ•˜๋Š” ๋™์ž‘์„ ๋ฐ˜๋ณตํ•ด์ฃผ๋ฉด ๋ฉ๋‹ˆ๋‹ค.

์ตœ์ข… ์ฝ”๋“œ

import sys
from collections import deque
input = sys.stdin.readline

n = int(input().strip())
queue = deque([i for i in range(1, n+1)])
result = []

while len(queue) > 1: # ์นด๋“œ ๋‘์žฅ ์ด์ƒ์ผ ๋•Œ, 
    result.append(queue.popleft()) #๋งจ ์•ž ์นด๋“œ ๋ฒ„๋ฆผ  
    queue.append(queue.popleft()) # ๋ฒ„๋ฆฐ ํ›„ ๋งจ ์•ž์นด๋“œ ๋’ค๋กœ ์˜ฎ๊น€ 
else:
    result.append(queue.popleft()) # ์ดˆ๋ฐ˜์— ํ•œ ์žฅ ๋” ์ถ”๊ฐ€ 

print(" ".join(map(str, result))) # ๊ฒฐ๊ณผ ์ถ”๊ฐ€ 

๐Ÿ“š ์ƒˆ๋กญ๊ฒŒ ์•Œ๊ฒŒ๋œ ๋‚ด์šฉ

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ํšจ์œจ์ ์ธ ๋ฐฉ๋ฒ•์„ ๊ณ ๋ฏผํ•œ ๊ฒŒ ๋Œ€๋‹จํ•˜์‹  ๊ฒƒ ๊ฐ™์Šต๋‹ˆ๋‹ค! ์ €๋„ ์ฐธ๊ณ ํ•ด์„œ ๋น„์Šทํ•˜๊ฒŒ ํ•ด๊ฒฐํ•  ์ˆ˜ ์žˆ์—ˆ์–ด์š” โ˜บ๏ธ ์ด๋ฒˆ ์ฐจ์‹œ๋„ ์ˆ˜๊ณ ํ•˜์…จ์–ด์š”!

import java.util.LinkedList
import java.util.Queue

fun main() {
    val N = readLine()!!.toInt()
    
    val queue: Queue<Int> = LinkedList()
    val sb = StringBuilder()
    
    // 1๋ถ€ํ„ฐ N๊นŒ์ง€์˜ ์นด๋“œ๋ฅผ ํ์— ์ถ”๊ฐ€
    for (i in 1..N) {
        queue.add(i)
    }
    
    // ์นด๋“œ๊ฐ€ ํ•œ ์žฅ ๋‚จ์„ ๋•Œ๊นŒ์ง€ ๋ฐ˜๋ณต
    while (queue.size > 1) {
        // ์ œ์ผ ์œ„์— ์žˆ๋Š” ์นด๋“œ๋ฅผ ๋ฒ„๋ฆผ
        sb.append(queue.poll()).append(" ")
        
        // ๊ทธ ๋‹ค์Œ ์นด๋“œ๋ฅผ ์ œ์ผ ์•„๋ž˜๋กœ ์ด๋™
        queue.add(queue.poll())
    }
    
    // ๋งˆ์ง€๋ง‰์œผ๋กœ ๋‚จ์€ ์นด๋“œ ์ถ”๊ฐ€
    sb.append(queue.poll())
    
    // ๋ชจ๋“  ๊ฒฐ๊ณผ๋ฅผ ํ•œ ๋ฒˆ์— ์ถœ๋ ฅ
    println(sb.toString())
}

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