結果

問題 No.1427 Simplified Tetris
ユーザー vwxyz
提出日時 2023-07-18 14:37:17
言語 Python3
(3.13.1 + numpy 2.2.1 + scipy 1.14.1)
結果
AC  
実行時間 326 ms / 2,000 ms
コード長 6,994 bytes
コンパイル時間 153 ms
コンパイル使用メモリ 13,312 KB
実行使用メモリ 13,696 KB
最終ジャッジ日時 2024-09-18 13:53:36
合計ジャッジ時間 5,207 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
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
sample AC * 4
other AC * 37
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 bisect
import copy
import decimal
import fractions
import heapq
import itertools
import math
import random
import sys
import time
from collections import Counter,deque,defaultdict
from functools import lru_cache,reduce
from heapq import heappush,heappop,heapify,heappushpop,_heappop_max,_heapify_max
def _heappush_max(heap,item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappushpop_max(heap, item):
    if heap and item < heap[0]:
        item, heap[0] = heap[0], item
        heapq._siftup_max(heap, 0)
    return item
from math import gcd as GCD
read=sys.stdin.read
readline=sys.stdin.readline
readlines=sys.stdin.readlines
write=sys.stdout.write
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
H,W=map(int,readline().split())
S=[readline().rstrip() for h in range(H)]
for h in range(H-1):
    if "#" in S[h] and not "#" in S[h+1]:
        print("No")
        exit()
for h in range(H):
    if not "." in S[h]:
        print("No")
        exit()
S=[s for s in S if "#" in s]
le=len(S)
for N in range(H+1):
    for bit in range(1<<N):
        if sum(bit>>i&1 for i in range(N))==le:
            SS=[]
            j=0
            for i in range(N):
                if bit&1<<i:
                    SS.append(S[j])
                    j+=1
                else:
                    SS.append("#"*W)
            MFG=MFGraph(N*W+2)
            s=0
            t=N*W+1
            for n in range(N):
                for w in range(W):
                    if SS[n][w]==".":
                        continue
                    if (n+w)%2:
                        MFG.add_edge(s,1+n*W+w,1)
                        for dn,dw in ((0,1),(1,0),(0,-1),(-1,0)):
                            if 0<=n+dn<N and 0<=w+dw<W and SS[n+dn][w+dw]=="#":
                                MFG.add_edge(1+n*W+w,1+(n+dn)*W+(w+dw),1)
                    else:
                        MFG.add_edge(1+n*W+w,t,1)
            if MFG.flow(s,t)*2==sum(s.count("#") for s in SS):
                print("Yes")
                alp=[chr(i) for i in range(65,65+26)]+[chr(i) for i in range(97,97+26)]
                ans_lst=[["."]*W for h in range(H)]
                for e in MFG.edges():
                    if e.flow and s!=e.src and t!=e.dst:
                        n,w=divmod(e.src-1,W)
                        nn,ww=divmod(e.dst-1,W)
                        a=alp.pop()
                        ans_lst[n][w]=a
                        ans_lst[nn][ww]=a
                for h in range(H):
                    print(*ans_lst[h],sep="")
                exit()
print("No")
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