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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ファイルパターン 結果
sample AC * 2
other AC * 39
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

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])
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