#904108 (PyPy3) No.2418 情報通だよ！Nafmoくん

提出ソース

結果

問題	No.2418 情報通だよ！Nafmoくん
ユーザー	McGregorsh
提出日時	2023-08-15 12:15:19
言語	PyPy3 (7.3.15)
結果	AC
実行時間	290 ms / 2,000 ms
コード長	12,139 bytes
コンパイル時間	385 ms
コンパイル使用メモリ	82,172 KB
実行使用メモリ	102,872 KB
最終ジャッジ日時	2024-11-14 12:25:02
合計ジャッジ時間	6,607 ms
ジャッジサーバーID （参考情報）	judge1 / judge4

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	147 ms 90,948 KB
testcase_01	AC	146 ms 91,268 KB
testcase_02	AC	148 ms 91,416 KB
testcase_03	AC	244 ms 99,836 KB
testcase_04	AC	178 ms 100,572 KB
testcase_05	AC	274 ms 93,188 KB
testcase_06	AC	222 ms 99,968 KB
testcase_07	AC	253 ms 92,740 KB
testcase_08	AC	221 ms 102,872 KB
testcase_09	AC	281 ms 93,124 KB
testcase_10	AC	257 ms 97,928 KB
testcase_11	AC	239 ms 97,332 KB
testcase_12	AC	219 ms 97,340 KB
testcase_13	AC	211 ms 92,708 KB
testcase_14	AC	225 ms 95,400 KB
testcase_15	AC	189 ms 92,228 KB
testcase_16	AC	290 ms 95,124 KB
testcase_17	AC	198 ms 92,424 KB
testcase_18	AC	211 ms 98,948 KB
testcase_19	AC	166 ms 99,120 KB
testcase_20	AC	197 ms 92,100 KB
testcase_21	AC	212 ms 93,636 KB
testcase_22	AC	229 ms 92,636 KB
testcase_23	AC	148 ms 91,296 KB

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ソースコード

raw source code

import math
from bisect import bisect_left, bisect_right, insort
from typing import Generic, Iterable, Iterator, TypeVar, Union, List
T = TypeVar('T')

class SortedMultiset(Generic[T]):
    BUCKET_RATIO = 50
    REBUILD_RATIO = 170

    def _build(self, a=None) -> None:
        "Evenly divide `a` into buckets."
        if a is None: a = list(self)
        size = self.size = len(a)
        bucket_size = int(math.ceil(math.sqrt(size / self.BUCKET_RATIO)))
        self.a = [a[size * i // bucket_size : size * (i + 1) // bucket_size] for i in range(bucket_size)]
    
    def __init__(self, a: Iterable[T] = []) -> None:
        "Make a new SortedMultiset from iterable. / O(N) if sorted / O(N log N)"
        a = list(a)
        if not all(a[i] <= a[i + 1] for i in range(len(a) - 1)):
            a = sorted(a)
        self._build(a)

    def __iter__(self) -> Iterator[T]:
        for i in self.a:
            for j in i: yield j

    def __reversed__(self) -> Iterator[T]:
        for i in reversed(self.a):
            for j in reversed(i): yield j
    
    def __len__(self) -> int:
        return self.size
    
    def __repr__(self) -> str:
        return "SortedMultiset" + str(self.a)
    
    def __str__(self) -> str:
        s = str(list(self))
        return "{" + s[1 : len(s) - 1] + "}"

    def _find_bucket(self, x: T) -> List[T]:
        "Find the bucket which should contain x. self must not be empty."
        for a in self.a:
            if x <= a[-1]: return a
        return a

    def __contains__(self, x: T) -> bool:
        if self.size == 0: return False
        a = self._find_bucket(x)
        i = bisect_left(a, x)
        return i != len(a) and a[i] == x

    def count(self, x: T) -> int:
        "Count the number of x."
        return self.index_right(x) - self.index(x)

    def add(self, x: T) -> None:
        "Add an element. / O(√N)"
        if self.size == 0:
            self.a = [[x]]
            self.size = 1
            return
        a = self._find_bucket(x)
        insort(a, x)
        self.size += 1
        if len(a) > len(self.a) * self.REBUILD_RATIO:
            self._build()

    def discard(self, x: T) -> bool:
        "Remove an element and return True if removed. / O(√N)"
        if self.size == 0: return False
        a = self._find_bucket(x)
        i = bisect_left(a, x)
        if i == len(a) or a[i] != x: return False
        a.pop(i)
        self.size -= 1
        if len(a) == 0: self._build()
        return True

    def lt(self, x: T) -> Union[T, None]:
        "Find the largest element < x, or None if it doesn't exist."
        for a in reversed(self.a):
            if a[0] < x:
                return a[bisect_left(a, x) - 1]

    def le(self, x: T) -> Union[T, None]:
        "Find the largest element <= x, or None if it doesn't exist."
        for a in reversed(self.a):
            if a[0] <= x:
                return a[bisect_right(a, x) - 1]

    def gt(self, x: T) -> Union[T, None]:
        "Find the smallest element > x, or None if it doesn't exist."
        for a in self.a:
            if a[-1] > x:
                return a[bisect_right(a, x)]

    def ge(self, x: T) -> Union[T, None]:
        "Find the smallest element >= x, or None if it doesn't exist."
        for a in self.a:
            if a[-1] >= x:
                return a[bisect_left(a, x)]
    
    def __getitem__(self, x: int) -> T:
        "Return the x-th element, or IndexError if it doesn't exist."
        if x < 0: x += self.size
        if x < 0: raise IndexError
        for a in self.a:
            if x < len(a): return a[x]
            x -= len(a)
        raise IndexError

    def index(self, x: T) -> int:
        "Count the number of elements < x."
        ans = 0
        for a in self.a:
            if a[-1] >= x:
                return ans + bisect_left(a, x)
            ans += len(a)
        return ans

    def index_right(self, x: T) -> int:
        "Count the number of elements <= x."
        ans = 0
        for a in self.a:
            if a[-1] > x:
                return ans + bisect_right(a, x)
            ans += len(a)
        return ans


###セグメントツリー###

#####segfunc#####
def segfunc(x, y):
    return x + y
    # 最小値    min(x, y) 
    # 最大値    max(x, y)
    # 区間和    x + y
    # 区間積    x * y
    # 最大公約数  math.gcd(x, y)
    # 排他的論理和    x ^ y
#################

#####ide_ele#####
ide_ele = 0
    # 最小値    float('inf')
    # 最大値  -float('inf')
    # 区間和    0
    # 区間積    1
    # 最大公約数  0
    # 排他的論理和 0
#################

class SegTree:
    """
    init(init_val, ide_ele): 配列init_valで初期化 O(N)
    update(k, x): k番目の値をxに更新 O(logN)
    query(l, r): 区間[l, r)をsegfuncしたものを返す O(logN)
    """
    def __init__(self, init_val, segfunc, ide_ele):
        """
        init_val: 配列の初期値
        segfunc: 区間にしたい操作
        ide_ele: 単位元
        n: 要素数
        num: n以上の最小の2のべき乗
        tree: セグメント木(1-index)
        """
        n = len(init_val)
        self.segfunc = segfunc
        self.ide_ele = ide_ele
        self.num = 1 << (n - 1).bit_length()
        self.tree = [ide_ele] * 2 * self.num
        # 配列の値を葉にセット
        for i in range(n):
            self.tree[self.num + i] = init_val[i]
        # 構築していく
        for i in range(self.num - 1, 0, -1):
            self.tree[i] = self.segfunc(self.tree[2 * i], self.tree[2 * i + 1])

    def update(self, k, x):
        """
        k番目の値をxに更新
        k: index(0-index)
        x: update value
        """
        k += self.num
        self.tree[k] = x
        while k > 1:
            self.tree[k >> 1] = self.segfunc(self.tree[k], self.tree[k ^ 1])
            k >>= 1

    def query(self, l, r):
        """
        [l, r)のsegfuncしたものを得る
        l: index(0-index)
        r: index(0-index)
        """
        res = self.ide_ele

        l += self.num
        r += self.num
        while l < r:
            if l & 1:
                res = self.segfunc(res, self.tree[l])
                l += 1
            if r & 1:
                res = self.segfunc(res, self.tree[r - 1])
            l >>= 1
            r >>= 1
        return res


###UnionFind###

class UnionFind:
    """0-indexed"""

    def __init__(self, n):
        self.n = n
        self.parent = [-1] * n
        self.__group_count = n  # 辺がないとき、連結成分はn個あります

    def unite(self, x, y):
        """xとyをマージ"""
        x = self.root(x)
        y = self.root(y)

        if x == y:
            return 0

        self.__group_count -= 1  # 木と木が合体するので、連結成分数が1減ります

        if self.parent[x] > self.parent[y]:
            x, y = y, x

        self.parent[x] += self.parent[y]
        self.parent[y] = x

        return self.parent[x]

    def is_same(self, x, y):
        """xとyが同じ連結成分か判定"""
        return self.root(x) == self.root(y)

    def root(self, x):
        """xの根を取得"""
        if self.parent[x] < 0:
            return x
        else:
            self.parent[x] = self.root(self.parent[x])
            return self.parent[x]

    def size(self, x):
        """xが属する連結成分のサイズを取得"""
        return -self.parent[self.root(x)]

    def all_sizes(self) -> List[int]:
        """全連結成分のサイズのリストを取得 O(N)
        """
        sizes = []
        for i in range(self.n):
            size = self.parent[i]
            if size < 0:
                sizes.append(-size)
        return sizes

    def groups(self) -> List[List[int]]:
        """全連結成分の内容のリストを取得 O(N・α(N))"""
        groups = dict()
        for i in range(self.n):
            p = self.root(i)
            if not groups.get(p):
                groups[p] = []
            groups[p].append(i)
        return list(groups.values())

    def group_count(self) -> int:
        """連結成分の数を取得 O(1)"""
        return self.__group_count  # 変数を返すだけなので、O(1)です


###素因数分解###

def prime_factorize(n: int) -> list:
   return_list = []
   while n % 2 == 0:
   	  return_list.append(2)
   	  n //= 2
   f = 3
   while f * f <= n:
   	  if n % f == 0:
   	  	  return_list.append(f)
   	  	  n //= f
   	  else:
   	  	  f += 2
   if n != 1:
   	  return_list.append(n)
   return return_list


###n進数から10進数変換###

def base_10(num_n,n):
	  num_10 = 0
	  for s in str(num_n):
	  	  num_10 *= n
	  	  num_10 += int(s)
	  return num_10


###10進数からn進数変換###

def base_n(num_10,n):
	  str_n = ''
	  while num_10:
	  	  if num_10%n>=10:
	  	  	  return -1
	  	  str_n += str(num_10%n)
	  	  num_10 //= n
	  return int(str_n[::-1])


###複数の数の最大公約数、最小公倍数###

from functools import reduce

# 最大公約数
def gcd_list(num_list: list) -> int:
	  return reduce(gcd, num_list)

# 最小公倍数
def lcm_base(x: int, y: int) -> int:
	  return (x * y) // gcd(x, y)
def lcm_list(num_list: list):
	  return reduce(lcm_base, num_list, 1)


###約数列挙###

def make_divisors(n):
	  lower_divisors, upper_divisors = [], []
	  i = 1
	  while i * i <= n:
	  	  if n % i == 0:
	  	  	  lower_divisors.append(i)
	  	  	  if i != n // i:
	  	  	  	  upper_divisors.append(n//i)
	  	  i += 1
	  return lower_divisors + upper_divisors[::-1]


###順列###

def nPr(n, r):
	  npr = 1
	  for i in range(n, n-r, -1):
	  	  npr *= i
	  return npr


###組合せ###

def nCr(n, r):
	  factr = 1
	  r = min(r, n - r)
	  for i in range(r, 1, -1):
	  	  factr *= i
	  return nPr(n, r)//factr


###組合せMOD###

def comb(n,k):
    nCk = 1
    MOD = 99824353

    for i in range(n-k+1, n+1):
        nCk *= i
        nCk %= MOD

    for i in range(1,k+1):
        nCk *= pow(i,MOD-2,MOD)
        nCk %= MOD
    return nCk


###回転行列###

def RotationMatrix(before_x, before_y, d):
	  d = math.radians(d)
	  new_x = before_x * math.cos(d) - before_y * math.sin(d)
	  new_y = before_x * math.sin(d) + before_y * math.cos(d)
	  return new_x, new_y


###ダイクストラ###

def daikusutora(N, G, s):
	  dist = [INF] * N
	  que = [(0, s)]
	  dist[s] = 0
	  while que:
	  	  c, v = heappop(que)
	  	  if dist[v] < c:
	  	  	  continue
	  	  for t, cost in G[v]:
	  	  	  if dist[v] + cost < dist[t]:
	  	  	  	  dist[t] = dist[v] + cost
	  	  	  	  heappush(que, (dist[t], t))
	  return dist


import sys
from sys import stdin
from fractions import Fraction
import math
from math import ceil, floor, sqrt, pi, factorial, gcd
from copy import deepcopy
from collections import Counter, deque, defaultdict
from heapq import heapify, heappop, heappush
from itertools import accumulate, product, combinations, combinations_with_replacement, permutations
from bisect import bisect, bisect_left, bisect_right
from functools import reduce, lru_cache
from decimal import Decimal, getcontext, ROUND_HALF_UP
def i_input(): return int(stdin.readline())
def i_map(): return map(int, stdin.readline().split())
def i_list(): return list(i_map())
def s_input(): return stdin.readline()[:-1]
def s_map(): return s_input().split()
def s_list(): return list(s_map())
def lcm(a, b): return a * b // gcd(a, b)
def get_distance(x1, y1, x2, y2):
	  d = sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2)
	  return d
def rotate(table):
   	  n_fild = []
   	  for x in zip(*table[::-1]):
   	  	  n_fild.append(x)
   	  return n_fild
sys.setrecursionlimit(10 ** 7)
INF = float('inf')
MOD = 10 ** 9 + 7
MOD2 = 998244353
alpa = 'abcdefghijklmnopqrstuvwxyz'
ALPA = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ'


def main():
   
   N, M = i_map()
   
   uf = UnionFind(2*N)
   for i in range(M):
   	  a, b = i_map()
   	  a -= 1
   	  b -= 1
   	  uf.unite(a, b)
   
   nums = uf.all_sizes()
   ans = 0
   for i in range(len(nums)):
   	  if nums[i] % 2 == 1:
   	  	  ans += 1
   print(ans//2)
   
if __name__ == '__main__':
    main()

yukicoder

結果

テストケース

ソースコード