結果

問題 No.1479 Matrix Eraser
ユーザー convexineqconvexineq
提出日時 2021-04-16 21:05:44
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 784 ms / 3,000 ms
コード長 5,374 bytes
コンパイル時間 288 ms
コンパイル使用メモリ 86,952 KB
実行使用メモリ 169,484 KB
最終ジャッジ日時 2023-09-15 22:44:46
合計ジャッジ時間 22,187 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge12
このコードへのチャレンジ
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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 181 ms
87,548 KB
testcase_01 AC 182 ms
87,776 KB
testcase_02 AC 183 ms
88,048 KB
testcase_03 AC 182 ms
87,668 KB
testcase_04 AC 184 ms
87,668 KB
testcase_05 AC 183 ms
88,024 KB
testcase_06 AC 184 ms
87,692 KB
testcase_07 AC 386 ms
107,180 KB
testcase_08 AC 448 ms
110,232 KB
testcase_09 AC 473 ms
113,604 KB
testcase_10 AC 614 ms
122,436 KB
testcase_11 AC 500 ms
115,808 KB
testcase_12 AC 388 ms
108,340 KB
testcase_13 AC 414 ms
109,716 KB
testcase_14 AC 392 ms
107,596 KB
testcase_15 AC 194 ms
88,272 KB
testcase_16 AC 413 ms
111,216 KB
testcase_17 AC 700 ms
126,020 KB
testcase_18 AC 727 ms
126,448 KB
testcase_19 AC 776 ms
127,180 KB
testcase_20 AC 713 ms
125,100 KB
testcase_21 AC 784 ms
128,496 KB
testcase_22 AC 701 ms
125,828 KB
testcase_23 AC 696 ms
125,612 KB
testcase_24 AC 779 ms
126,124 KB
testcase_25 AC 702 ms
125,460 KB
testcase_26 AC 703 ms
125,732 KB
testcase_27 AC 632 ms
127,984 KB
testcase_28 AC 642 ms
127,408 KB
testcase_29 AC 634 ms
127,820 KB
testcase_30 AC 638 ms
127,916 KB
testcase_31 AC 645 ms
127,316 KB
testcase_32 AC 499 ms
169,484 KB
testcase_33 AC 490 ms
169,348 KB
testcase_34 AC 487 ms
169,436 KB
testcase_35 AC 486 ms
168,732 KB
testcase_36 AC 484 ms
168,724 KB
testcase_37 AC 226 ms
101,788 KB
testcase_38 AC 621 ms
133,080 KB
testcase_39 AC 308 ms
124,836 KB
testcase_40 AC 179 ms
88,000 KB
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ソースコード

diff # 

"""
from
https://github.com/not522/ac-library-python/blob/master/atcoder/mincostflow.py
"""
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

from itertools import chain
def f(lst):
    hh = set()
    ww = set()
    for i,j in lst:
        hh.add(i)
        ww.add(j)
    zh = {hi:i for i,hi in enumerate(hh)}
    zw = {wi:i for i,wi in enumerate(ww)}
    h = len(hh)
    w = len(ww)
    g = MFGraph(h+w+2)
    S = h+w
    T = S+1
    for i in range(h):
        g.add_edge(src=S, dst=i, cap=1)
    for i in range(h,h+w):
        g.add_edge(src=i, dst=T, cap=1)
    for i,j in lst:
        g.add_edge(src=zh[i], dst=zw[j]+h, cap=1)
    r = g.flow(S,T)
    return r

h,w = map(int,input().split())
res = [[] for _ in range(5*10**5+1)]
for i in range(h):
    *b, = map(int,input().split())
    for j in range(w):
        if b[j]: res[b[j]].append((i,j))


ans = 0
for ri in res:
    if ri:
        if len(ri)==1: ans += 1
        else: ans += f(ri)
print(ans)
0