結果

問題 No.1479 Matrix Eraser
ユーザー rlangevinrlangevin
提出日時 2024-05-21 12:13:47
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 785 ms / 3,000 ms
コード長 6,029 bytes
コンパイル時間 353 ms
コンパイル使用メモリ 82,148 KB
実行使用メモリ 192,772 KB
最終ジャッジ日時 2024-05-21 12:14:10
合計ジャッジ時間 20,567 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
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 115 ms
92,584 KB
testcase_01 AC 101 ms
92,552 KB
testcase_02 AC 95 ms
92,536 KB
testcase_03 AC 96 ms
92,364 KB
testcase_04 AC 96 ms
92,176 KB
testcase_05 AC 97 ms
92,600 KB
testcase_06 AC 95 ms
92,456 KB
testcase_07 AC 195 ms
119,060 KB
testcase_08 AC 228 ms
122,344 KB
testcase_09 AC 466 ms
132,316 KB
testcase_10 AC 622 ms
142,636 KB
testcase_11 AC 495 ms
134,148 KB
testcase_12 AC 209 ms
119,952 KB
testcase_13 AC 231 ms
122,932 KB
testcase_14 AC 211 ms
120,044 KB
testcase_15 AC 139 ms
115,140 KB
testcase_16 AC 241 ms
121,708 KB
testcase_17 AC 708 ms
147,312 KB
testcase_18 AC 715 ms
148,396 KB
testcase_19 AC 720 ms
148,432 KB
testcase_20 AC 751 ms
150,268 KB
testcase_21 AC 746 ms
148,628 KB
testcase_22 AC 733 ms
147,216 KB
testcase_23 AC 785 ms
148,384 KB
testcase_24 AC 728 ms
148,132 KB
testcase_25 AC 747 ms
147,472 KB
testcase_26 AC 758 ms
147,916 KB
testcase_27 AC 650 ms
161,040 KB
testcase_28 AC 686 ms
159,992 KB
testcase_29 AC 653 ms
159,080 KB
testcase_30 AC 664 ms
157,952 KB
testcase_31 AC 646 ms
159,644 KB
testcase_32 AC 558 ms
192,632 KB
testcase_33 AC 519 ms
192,532 KB
testcase_34 AC 528 ms
192,460 KB
testcase_35 AC 526 ms
192,772 KB
testcase_36 AC 523 ms
192,508 KB
testcase_37 AC 194 ms
133,644 KB
testcase_38 AC 643 ms
152,056 KB
testcase_39 AC 267 ms
144,904 KB
testcase_40 AC 93 ms
92,688 KB
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 # 

import sys
input = sys.stdin.readline

#https://github.com/not522/ac-library-python/blob/master/atcoder/maxflow.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 bisect import *
from copy import deepcopy
def compress(lst):
    '''
    B: lstを座圧したリスト
    idx_to_val: indexから元の値を取得するリスト
    val_to_idx: 元の値からindexを取得する辞書
    '''
    B = []
    val_to_idx = {}
    idx_to_val = deepcopy(lst)
    idx_to_val = list(set(idx_to_val))
    idx_to_val.sort()
    for i in range(len(lst)):
        ind = bisect_left(idx_to_val, lst[i])
        B.append(ind)
    for i in range(len(B)):
        val_to_idx[lst[i]] = B[i]
    return B, idx_to_val, val_to_idx


H, W = map(int, input().split())
M = 5 * 10 ** 5 + 5
Dx, Dy = [[] for i in range(M)], [[] for i in range(M)]
for i in range(H):
    A = list(map(int, input().split()))
    for j in range(W):
        Dx[A[j]].append(i)
        Dy[A[j]].append(j)
        
def solve(X, Y):
    if len(X) <= 1:
        return len(X)
    X, ivx, _ = compress(X)
    Y, ivy, _ = compress(Y)
    tate = len(ivx)
    yoko = len(ivy)
    if tate == 1 or yoko == 1:
        return 1
    if tate == 2 and yoko == 2:
        return 2
    s = tate + yoko
    g = s + 1
    G = MFGraph(tate + yoko + 2)
    for i in range(tate):
        G.add_edge(s, i, 1)
    for i in range(yoko):
        G.add_edge(tate + i, g, 1)
    for x, y in zip(X, Y):
        G.add_edge(x, tate + y, 1)
    return G.flow(s, g)            
    
ans = 0
for i in range(M-1, 0, -1):
    ans += solve(Dx[i], Dy[i])
    
print(ans)
0