結果

問題 No.421 しろくろチョコレート
ユーザー ygd.
提出日時 2022-03-08 21:50:03
言語 Python3
(3.13.1 + numpy 2.2.1 + scipy 1.14.1)
結果
AC  
実行時間 103 ms / 2,000 ms
コード長 6,474 bytes
コンパイル時間 538 ms
コンパイル使用メモリ 13,184 KB
実行使用メモリ 15,220 KB
最終ジャッジ日時 2024-07-23 21:40:57
合計ジャッジ時間 6,424 ms
ジャッジサーバーID
(参考情報)
judge4 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
other AC * 65
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

import sys
#input = sys.stdin.readline
#input = sys.stdin.buffer.readline #
#sys.setrecursionlimit(1000000)
#import bisect
#import itertools
#import random
#from heapq import heapify, heappop, heappush
#from collections import defaultdict
#from collections import deque
#import copy
#import math
#from functools import lru_cache
#@lru_cache(maxsize=None)
#MOD = pow(10,9) + 7
#MOD = 998244353
dx = [1,0,-1,0]
dy = [0,1,0,-1]
#
#
def main():
N,M = map(int,input().split())
S = [str(input()) for _ in range(N)]
G = MFGraph(N*M+2)
source = N*M; terminal = N*M+1
wnum = 0; bnum = 0
#
for i in range(N):
for j in range(M):
if S[i][j] == '.': continue
idx = i*M + j
if S[i][j] == 'w':
G.add_edge(source, idx, 1)
wnum += 1
if S[i][j] == 'b':
G.add_edge(idx, terminal, 1)
bnum += 1
for d in range(4):
ni = i + dx[d]
nj = j + dy[d]
nidx = ni * M + nj
if ni < 0 or ni >= N or nj < 0 or nj >= M: continue
if S[i][j] == 'w':
G.add_edge(idx, nidx, 1)
else:
G.add_edge(nidx, idx, 1)
tonari = G.flow(source, terminal)
#print(tonari)
bnum -= tonari
wnum -= tonari
ans = tonari * 100 + min(bnum,wnum) * 10 + max(bnum,wnum) - min(bnum,wnum)
print(ans)
# Reference:
# <https://github.com/not522/ac-library-python/blob/master/atcoder/maxflow.py>
# (commit hash: ed8c83d91c544bcfb600d3414899b8c01c268c9c)
################################################################################
from typing import NamedTuple, Optional, List, cast
class MFGraph:
class Edge(NamedTuple):
src: int
dst: int
cap: int
flow: int
class _Edge:
def __init__(self, dst: int, cap: int) -> None:
self.dst = dst
self.cap = cap
self.rev: Optional[MFGraph._Edge] = None
def __init__(self, n: int) -> None:
self._n = n
self._g: List[List[MFGraph._Edge]] = [[] for _ in range(n)]
self._edges: List[MFGraph._Edge] = []
def add_edge(self, src: int, dst: int, cap: int) -> int:
assert 0 <= src < self._n
assert 0 <= dst < self._n
assert 0 <= cap
m = len(self._edges)
e = MFGraph._Edge(dst, cap)
re = MFGraph._Edge(src, 0)
e.rev = re
re.rev = e
self._g[src].append(e)
self._g[dst].append(re)
self._edges.append(e)
return m
def get_edge(self, i: int) -> Edge:
assert 0 <= i < len(self._edges)
e = self._edges[i]
re = cast(MFGraph._Edge, e.rev)
return MFGraph.Edge(
re.dst,
e.dst,
e.cap + re.cap,
re.cap
)
def edges(self) -> List[Edge]:
return [self.get_edge(i) for i in range(len(self._edges))]
def change_edge(self, i: int, new_cap: int, new_flow: int) -> None:
assert 0 <= i < len(self._edges)
assert 0 <= new_flow <= new_cap
e = self._edges[i]
e.cap = new_cap - new_flow
assert e.rev is not None
e.rev.cap = new_flow
def flow(self, s: int, t: int, flow_limit: Optional[int] = None) -> int:
assert 0 <= s < self._n
assert 0 <= t < self._n
assert s != t
if flow_limit is None:
flow_limit = cast(int, sum(e.cap for e in self._g[s]))
current_edge = [0] * self._n
level = [0] * self._n
def fill(arr: List[int], value: int) -> None:
for i in range(len(arr)):
arr[i] = value
def bfs() -> bool:
fill(level, self._n)
queue = []
q_front = 0
queue.append(s)
level[s] = 0
while q_front < len(queue):
v = queue[q_front]
q_front += 1
next_level = level[v] + 1
for e in self._g[v]:
if e.cap == 0 or level[e.dst] <= next_level:
continue
level[e.dst] = next_level
if e.dst == t:
return True
queue.append(e.dst)
return False
def dfs(lim: int) -> int:
stack = []
edge_stack: List[MFGraph._Edge] = []
stack.append(t)
while stack:
v = stack[-1]
if v == s:
flow = min(lim, min(e.cap for e in edge_stack))
for e in edge_stack:
e.cap -= flow
assert e.rev is not None
e.rev.cap += flow
return flow
next_level = level[v] - 1
while current_edge[v] < len(self._g[v]):
e = self._g[v][current_edge[v]]
re = cast(MFGraph._Edge, e.rev)
if level[e.dst] != next_level or re.cap == 0:
current_edge[v] += 1
continue
stack.append(e.dst)
edge_stack.append(re)
break
else:
stack.pop()
if edge_stack:
edge_stack.pop()
level[v] = self._n
return 0
flow = 0
while flow < flow_limit:
if not bfs():
break
fill(current_edge, 0)
while flow < flow_limit:
f = dfs(flow_limit - flow)
flow += f
if f == 0:
break
return flow
def min_cut(self, s: int) -> List[bool]:
visited = [False] * self._n
stack = [s]
visited[s] = True
while stack:
v = stack.pop()
for e in self._g[v]:
if e.cap > 0 and not visited[e.dst]:
visited[e.dst] = True
stack.append(e.dst)
return visited
################################################################################
if __name__ == '__main__':
main()
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