結果
問題 | No.2263 Perms |
ユーザー | shobonvip |
提出日時 | 2023-04-07 22:14:07 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 248 ms / 2,000 ms |
コード長 | 3,926 bytes |
コンパイル時間 | 239 ms |
コンパイル使用メモリ | 82,432 KB |
実行使用メモリ | 84,312 KB |
最終ジャッジ日時 | 2024-10-02 19:42:59 |
合計ジャッジ時間 | 8,368 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge5 |
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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 | 70 ms
68,864 KB |
testcase_01 | AC | 67 ms
68,224 KB |
testcase_02 | AC | 68 ms
68,096 KB |
testcase_03 | AC | 71 ms
68,224 KB |
testcase_04 | AC | 81 ms
70,528 KB |
testcase_05 | AC | 114 ms
78,336 KB |
testcase_06 | AC | 231 ms
83,772 KB |
testcase_07 | AC | 229 ms
83,424 KB |
testcase_08 | AC | 216 ms
83,700 KB |
testcase_09 | AC | 230 ms
83,308 KB |
testcase_10 | AC | 220 ms
82,492 KB |
testcase_11 | AC | 244 ms
83,540 KB |
testcase_12 | AC | 235 ms
83,504 KB |
testcase_13 | AC | 237 ms
83,592 KB |
testcase_14 | AC | 248 ms
84,312 KB |
testcase_15 | AC | 224 ms
84,132 KB |
testcase_16 | AC | 140 ms
78,976 KB |
testcase_17 | AC | 145 ms
79,616 KB |
testcase_18 | AC | 137 ms
79,104 KB |
testcase_19 | AC | 147 ms
79,488 KB |
testcase_20 | AC | 226 ms
83,344 KB |
testcase_21 | AC | 221 ms
82,684 KB |
testcase_22 | AC | 210 ms
81,772 KB |
testcase_23 | AC | 164 ms
79,736 KB |
testcase_24 | AC | 166 ms
80,516 KB |
testcase_25 | AC | 222 ms
82,504 KB |
testcase_26 | AC | 233 ms
83,000 KB |
testcase_27 | AC | 187 ms
80,748 KB |
testcase_28 | AC | 169 ms
80,000 KB |
testcase_29 | AC | 167 ms
80,296 KB |
testcase_30 | AC | 116 ms
78,464 KB |
testcase_31 | AC | 102 ms
77,952 KB |
testcase_32 | AC | 143 ms
79,360 KB |
testcase_33 | AC | 134 ms
79,232 KB |
testcase_34 | AC | 86 ms
72,448 KB |
testcase_35 | AC | 86 ms
72,960 KB |
testcase_36 | AC | 121 ms
79,232 KB |
testcase_37 | AC | 84 ms
73,088 KB |
testcase_38 | AC | 226 ms
82,960 KB |
testcase_39 | AC | 73 ms
68,224 KB |
testcase_40 | AC | 72 ms
68,608 KB |
ソースコード
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 n, m = map(int,input().split()) a = [list(map(int,input().split())) for i in range(n)] ans = [] for i in range(m): mf = MFGraph(2*n + 2) for j in range(n): mf.add_edge(2*n, j, 1) mf.add_edge(n+j, 2*n+1, 1) for j in range(n): for k in range(n): mf.add_edge(j, n+k, a[j][k]) fl = mf.flow(2*n, 2*n+1) if fl < n: print(-1) exit() v = [0] * n for p in mf.edges(): if 0 <= p.src < n and n <= p.dst < 2*n and p.flow == 1: a[p.src][p.dst-n] -= 1 v[p.src] = p.dst-n+1 ans.append(v) for i in range(n): for j in range(n): if a[i][j] > 0: print(-1) exit() for i in range(m): print(*ans[i])