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@zaqquum zaqquum commented Apr 8, 2025

๐ŸŒฑWIL

์ด๋ฒˆ ํ•œ ์ฃผ์˜ ์†Œ๊ฐ์„ ์ž‘์„ฑํ•ด์ฃผ์„ธ์š”!

  • ์ตœ์ข… ํ”Œ์ ์ด ๋“œ๋””์–ด ๋งˆ๋ฌด๋ฆฌ๊ฐ€ ๋˜์—ˆ๋‹ค. ์ƒ๋ฐ˜๊ธฐ ์ง€์›์ด ์–ผ๋งˆ ๋‚จ์ง€ ์•Š์€ ๋งŒํผ ๋‹ด์ฃผ๋ถ€ํ„ฐ ๊ผญ ์ฝ”ํ…Œ๋ฅผ ๊พธ์ค€ํ•˜๊ฒŒ ํ’€ ์ˆ˜ ์žˆ๋„๋ก ํ•˜์ž

๐Ÿš€์ฃผ๊ฐ„ ๋ชฉํ‘œ ๋ฌธ์ œ ์ˆ˜: 3๊ฐœ

ํ‘ผ ๋ฌธ์ œ


๋ฐฑ์ค€ #2169. ๋กœ๋ด‡ ์กฐ์ข…ํ•˜๊ธฐ: DP/ ๊ณจ๋“œ2

์ •๋ฆฌํ•œ ๋งํฌ: (๋ฐ”๋กœ๊ฐ€๊ธฐ)

๐Ÿšฉ์ œ์ถœํ•œ ์ฝ”๋“œ

"""
https://www.acmicpc.net/problem/1520
"""

import sys
input = sys.stdin.readline
#0. ๋งต (N,M) ์นธ ๋ณ„ ํƒ์‚ฌ ๊ฐ€์น˜ ์„ค์ •
N , M = map(int,input().split()) # y,x 
fields =list()
for n in range(N) :
  fields.append(list(map(int, input().split())))

# print(fields)
# 2. dp ํ…Œ์ด๋ธ” ์ดˆ๊ธฐํ™” 
dp = [[0 for _ in range(M)] for k in range(N)]
left2right = [[0 for _ in range(M)] for k in range(N)]
right2left = [[0 for _ in range(M)] for k in range(N)]
#3.ํƒ์ƒ‰ ๊ฐ€๋Šฅ  (1)left2 right <-/ (2) right2left <- 

 # n == 0 ๊ฒฝ์šฐ : (1) left2right ๊ฒฝ๋กœ๋งŒ ์กด์žฌ(๋ˆ„์ ๊ฐ’)
for m in range(M) :
  dp[0][m] = dp[0][m-1] + fields[0][m] 
# 2๋ฒˆ์จฐ ํ–‰ ๋ถ€ํ„ฐ ์ง„ํ–‰ 
for n in range(1, N) : 
  #m==0์ธ ๊ฒฝ์šฐ ์ดˆ๊ธฐํ™” : top-dowm์˜ ๊ฒฝ๋กœ๋งŒ ์กด์žฌ
  left2right[n][0] = dp[n-1][0] + fields[n][0]
  right2left[n][M-1] = dp[n-1][M-1] + fields[n][M-1]
  # 1. ์™ผ์ชฝ -> ์˜ค๋ฅธ์ชฝ ๋ฐฉํ–ฅ์œผ๋กœ ํƒ์ƒ‰ ์ง„ํ–‰ 
  for m in range(1,M) :
    # (1)left2right , top-down  ๋ฐฉํ–ฅ ํƒ์ƒ‰ ๋ˆ„์  ๊ฐ’ ๊ตฌํ•˜๊ธฐ 
    left2right[n][m] = max(dp[n-1][m], left2right[n][m-1])+ fields[n][m]
    
  #2. ์˜ค๋ฅธ์ชฝ -> ์™ผ์ชฝ ๋ฐฉํ–ฅ์œผ๋กœ ํƒ์ƒ‰ ์ง„ํ–‰ 
  for m in range(M-2 , -1 , -1)  : 
    # (2) right2left , top-down ๋ฐฉํ–ฅ ๋ˆ„์ ๊ฐ’ ๊ตฌํ•˜๊ธฐ
    right2left[n][m] = max(dp[n-1][m], right2left[n][m+1])+ fields[n][m]
  #3. ์—ด m ํƒ์ƒ‰ ์™„๋ฃŒ์‹œ , ์ตœ์ข… dp ๊ฐ’ ๊ณ„์‚ฐํ•˜๊ธฐ
  for m in range(M):
    dp[n][m] = max(left2right[n][m] , right2left[n][m])

print(dp[-1][-1])

๋ฐฑ์ค€ #20056. ๋งˆ๋ฒ•์‚ฌ ์ƒ์–ด์™€ ํŒŒ์ด์–ด๋ณผ: ๊ตฌํ˜„/ ๊ณจ๋“œ4

์ •๋ฆฌํ•œ ๋งํฌ: (๋ฐ”๋กœ๊ฐ€๊ธฐ)

๐Ÿšฉ์ œ์ถœํ•œ ์ฝ”๋“œ

import sys
sys.setrecursionlimit(10**7)

m, n = map(int, input().split()) # m: ์„ธ๋กœ, n: ๊ฐ€๋กœ
Map = [list(map(int, sys.stdin.readline().split())) for _ in range(m)]
# DP table ๊ตฌํ˜„
vst = [[-1]*n for _ in range(m)]

def dfs(x, y): # x: row, y: col

    dx = [0, 0, -1, 1]
    dy = [1, -1, 0, 0]

    # ๋„์ฐฉ ์ง€์ ์— ๋„๋‹ฌํ•˜๋ฉด 1(ํ•œ ๊ฐ€์ง€ ๊ฒฝ์šฐ์˜ ์ˆ˜)๋ฅผ ๋ฆฌํ„ด
    if x == (m-1) and y ==(n-1):
        return 1
    
    # ์ด๋ฏธ ๋ฐฉ๋ฌธํ•œ ์ ์ด ์žˆ๋‹ค๋ฉด ๊ทธ ์œ„์น˜์—์„œ ์ถœ๋ฐœํ•˜๋Š” ๊ฒฝ์šฐ์˜ ์ˆ˜๋ฅผ ๋ฆฌํ„ด
    if vst[x][y] != -1: 
        return vst[x][y]
    
    cnt = 0
    for i in range(4):
        nx = x + dx[i]
        ny = y + dy[i]
        # ํƒ์ƒ‰ ๋ฒ”์œ„๋ฅผ ๋ฒ—์–ด๋‚˜๋Š” ๊ฒฝ์šฐ pass
        if nx<0 or ny<0 or nx>(m-1) or ny>(n-1): continue
        # ๋‚ด๋ฆฌ๋ง‰ ์ผ ๊ฒฝ์šฐ (ํ˜„์žฌ ๊ธธ < ์ด์ „ ๊ธธ)
        if Map[nx][ny] < Map[x][y]:
            cnt += dfs(nx, ny)

    vst[x][y] = cnt 
    return vst[x][y]
            
print(dfs(0, 0))

๋ฐฑ์ค€ #1520. ๋‚ด๋ฆฌ๋ง‰๊ธธ: DP/ ๊ณจ๋“œ3

์ •๋ฆฌํ•œ ๋งํฌ: (๋ฐ”๋กœ๊ฐ€๊ธฐ)

๐Ÿšฉ์ œ์ถœํ•œ ์ฝ”๋“œ

import sys
sys.setrecursionlimit(10**7)

m, n = map(int, input().split()) # m: ์„ธ๋กœ, n: ๊ฐ€๋กœ
Map = [list(map(int, sys.stdin.readline().split())) for _ in range(m)]
# DP table ๊ตฌํ˜„
vst = [[-1]*n for _ in range(m)]

def dfs(x, y): # x: row, y: col

    dx = [0, 0, -1, 1]
    dy = [1, -1, 0, 0]

    # ๋„์ฐฉ ์ง€์ ์— ๋„๋‹ฌํ•˜๋ฉด 1(ํ•œ ๊ฐ€์ง€ ๊ฒฝ์šฐ์˜ ์ˆ˜)๋ฅผ ๋ฆฌํ„ด
    if x == (m-1) and y ==(n-1):
        return 1
    
    # ์ด๋ฏธ ๋ฐฉ๋ฌธํ•œ ์ ์ด ์žˆ๋‹ค๋ฉด ๊ทธ ์œ„์น˜์—์„œ ์ถœ๋ฐœํ•˜๋Š” ๊ฒฝ์šฐ์˜ ์ˆ˜๋ฅผ ๋ฆฌํ„ด
    if vst[x][y] != -1: 
        return vst[x][y]
    
    cnt = 0
    for i in range(4):
        nx = x + dx[i]
        ny = y + dy[i]
        # ํƒ์ƒ‰ ๋ฒ”์œ„๋ฅผ ๋ฒ—์–ด๋‚˜๋Š” ๊ฒฝ์šฐ pass
        if nx<0 or ny<0 or nx>(m-1) or ny>(n-1): continue
        # ๋‚ด๋ฆฌ๋ง‰ ์ผ ๊ฒฝ์šฐ (ํ˜„์žฌ ๊ธธ < ์ด์ „ ๊ธธ)
        if Map[nx][ny] < Map[x][y]:
            cnt += dfs(nx, ny)

    vst[x][y] = cnt 
    return vst[x][y]
            
print(dfs(0, 0))

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github-actions bot commented Apr 8, 2025

2025-04 ์ฑŒ๋ฆฐ์ง€ ์ง„ํ–‰ ์ƒํ™ฉ

์‚ฌ์šฉ์ž ์ฑŒ๋ฆฐ์ง€ ์œ ํ˜• ๋ฌธ์ œ ์ˆ˜ ๋‹ฌ์„ฑ ์—ฌ๋ถ€
Mingguriguri ๊ทธ๋ž˜ํ”„ 0 โŒ
Mingguriguri DP 5 โœ…
zaqquum ๊ทธ๋ž˜ํ”„ 0 โŒ
zaqquum DP 2 โŒ

@Mingguriguri Mingguriguri merged commit a632e44 into main Apr 8, 2025
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