結果
問題 | No.1479 Matrix Eraser |
ユーザー | mkawa2 |
提出日時 | 2021-04-16 22:21:05 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 1,040 ms / 3,000 ms |
コード長 | 6,210 bytes |
コンパイル時間 | 1,198 ms |
コンパイル使用メモリ | 82,304 KB |
実行使用メモリ | 146,328 KB |
最終ジャッジ日時 | 2024-07-03 02:20:25 |
合計ジャッジ時間 | 20,218 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge3 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 65 ms
68,096 KB |
testcase_01 | AC | 62 ms
68,864 KB |
testcase_02 | AC | 64 ms
68,992 KB |
testcase_03 | AC | 63 ms
68,864 KB |
testcase_04 | AC | 66 ms
68,864 KB |
testcase_05 | AC | 64 ms
69,376 KB |
testcase_06 | AC | 61 ms
69,248 KB |
testcase_07 | AC | 205 ms
85,632 KB |
testcase_08 | AC | 258 ms
92,032 KB |
testcase_09 | AC | 426 ms
99,288 KB |
testcase_10 | AC | 714 ms
115,336 KB |
testcase_11 | AC | 459 ms
104,968 KB |
testcase_12 | AC | 269 ms
87,808 KB |
testcase_13 | AC | 275 ms
92,124 KB |
testcase_14 | AC | 236 ms
88,448 KB |
testcase_15 | AC | 84 ms
79,872 KB |
testcase_16 | AC | 244 ms
89,856 KB |
testcase_17 | AC | 1,040 ms
131,664 KB |
testcase_18 | AC | 914 ms
131,004 KB |
testcase_19 | AC | 888 ms
131,524 KB |
testcase_20 | AC | 912 ms
131,276 KB |
testcase_21 | AC | 891 ms
131,148 KB |
testcase_22 | AC | 905 ms
131,148 KB |
testcase_23 | AC | 928 ms
131,180 KB |
testcase_24 | AC | 908 ms
131,396 KB |
testcase_25 | AC | 896 ms
130,880 KB |
testcase_26 | AC | 889 ms
131,412 KB |
testcase_27 | AC | 481 ms
103,688 KB |
testcase_28 | AC | 464 ms
103,564 KB |
testcase_29 | AC | 478 ms
104,376 KB |
testcase_30 | AC | 459 ms
103,156 KB |
testcase_31 | AC | 454 ms
103,128 KB |
testcase_32 | AC | 323 ms
146,328 KB |
testcase_33 | AC | 346 ms
144,556 KB |
testcase_34 | AC | 337 ms
145,560 KB |
testcase_35 | AC | 342 ms
145,108 KB |
testcase_36 | AC | 345 ms
145,688 KB |
testcase_37 | AC | 85 ms
79,360 KB |
testcase_38 | AC | 440 ms
109,048 KB |
testcase_39 | AC | 183 ms
143,548 KB |
testcase_40 | AC | 60 ms
68,480 KB |
ソースコード
import sys # sys.setrecursionlimit(10**6) int1 = lambda x: int(x)-1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.buffer.readline()) def FI(): return float(sys.stdin.buffer.readline()) def LI(): return list(map(int, sys.stdin.buffer.readline().split())) def LI1(): return list(map(int1, sys.stdin.buffer.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def BI(): return sys.stdin.buffer.readline().rstrip() def SI(): return sys.stdin.buffer.readline().rstrip().decode() # dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] # dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] dij = [(0, 1), (1, 0), (1, 1), (1, -1)] inf = 10**16 md = 998244353 # md = 10**9+7 from collections import defaultdict 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 add_undir_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, cap) 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=LI() aa=LLI(h) atoij=defaultdict(list) for i in range(h): for j in range(w): a=aa[i][j] if a==0:continue atoij[a].append((i,j)) ans=0 s=h+w t=h+w+1 for a,ij in atoij.items(): if len(ij)==1: ans+=1 continue mf=MFGraph(h+w+2) ii,jj=set(),set() for i,j in ij: mf.add_edge(i,h+j,inf) ii.add(i) jj.add(j) for i in ii:mf.add_edge(s,i,1) for j in jj:mf.add_edge(h+j,t,1) ans+=mf.flow(s,t) print(ans)