結果

問題 No.1900 Don't be Powers of 2
ユーザー vwxyzvwxyz
提出日時 2023-06-13 06:28:28
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,295 ms / 2,000 ms
コード長 5,606 bytes
コンパイル時間 1,665 ms
コンパイル使用メモリ 86,668 KB
実行使用メモリ 349,592 KB
最終ジャッジ日時 2023-09-03 00:40:26
合計ジャッジ時間 22,988 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge15
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 290 ms
97,436 KB
testcase_01 AC 288 ms
97,408 KB
testcase_02 AC 290 ms
97,204 KB
testcase_03 AC 403 ms
104,076 KB
testcase_04 AC 409 ms
104,548 KB
testcase_05 AC 402 ms
103,832 KB
testcase_06 AC 405 ms
104,144 KB
testcase_07 AC 404 ms
103,768 KB
testcase_08 AC 411 ms
104,916 KB
testcase_09 AC 371 ms
103,288 KB
testcase_10 AC 347 ms
102,380 KB
testcase_11 AC 354 ms
103,432 KB
testcase_12 AC 428 ms
106,008 KB
testcase_13 AC 308 ms
98,380 KB
testcase_14 AC 378 ms
103,584 KB
testcase_15 AC 301 ms
98,204 KB
testcase_16 AC 306 ms
98,668 KB
testcase_17 AC 399 ms
103,864 KB
testcase_18 AC 380 ms
103,224 KB
testcase_19 AC 409 ms
103,748 KB
testcase_20 AC 395 ms
103,472 KB
testcase_21 AC 377 ms
103,472 KB
testcase_22 AC 376 ms
103,112 KB
testcase_23 AC 329 ms
102,572 KB
testcase_24 AC 335 ms
103,320 KB
testcase_25 AC 372 ms
103,864 KB
testcase_26 AC 1,295 ms
349,592 KB
testcase_27 AC 517 ms
132,804 KB
testcase_28 AC 440 ms
106,812 KB
testcase_29 AC 434 ms
107,144 KB
testcase_30 AC 342 ms
102,424 KB
testcase_31 AC 292 ms
97,204 KB
testcase_32 AC 294 ms
97,380 KB
testcase_33 AC 1,136 ms
342,032 KB
testcase_34 AC 1,129 ms
342,144 KB
testcase_35 AC 1,217 ms
341,832 KB
testcase_36 AC 1,018 ms
307,048 KB
testcase_37 AC 436 ms
106,448 KB
testcase_38 AC 476 ms
150,336 KB
testcase_39 AC 371 ms
120,928 KB
testcase_40 AC 456 ms
104,776 KB
testcase_41 AC 488 ms
107,916 KB
testcase_42 AC 297 ms
97,472 KB
testcase_43 AC 292 ms
97,448 KB
testcase_44 AC 297 ms
97,384 KB
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ソースコード

diff # 

import bisect
import copy
import decimal
import fractions
import heapq
import itertools
import math
import random
import sys
import time
from collections import Counter,deque,defaultdict
from functools import lru_cache,reduce
from heapq import heappush,heappop,heapify,heappushpop,_heappop_max,_heapify_max
def _heappush_max(heap,item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappushpop_max(heap, item):
    if heap and item < heap[0]:
        item, heap[0] = heap[0], item
        heapq._siftup_max(heap, 0)
    return item
from math import gcd as GCD
read=sys.stdin.read
readline=sys.stdin.readline
readlines=sys.stdin.readlines
write=sys.stdout.write
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=int(readline())
A=list(map(int,readline().split()))
pow2={1<<i for i in range(30)}
cnt=[sum(1 for b in range(30) if a&1<<b) for a in A]
MFG=MFGraph(N+2)
s=0
t=N+1
for i in range(N):
    if cnt[i]%2==0:
        MFG.add_edge(s,i+1,1)
    else:
        MFG.add_edge(i+1,t,1)
    if cnt[i]%2==0:
        for j in range(N):
            if cnt[j]%2 and A[i]^A[j] in pow2:
                MFG.add_edge(i+1,j+1,1)
flow=MFG.flow(s,t)
ans=N-flow
print(ans)
0