#939267 (PyPy3) No.2527 H and W

提出ソース

結果

問題	No.2527 H and W
ユーザー	McGregorsh
提出日時	2023-12-19 23:02:08
言語	PyPy3 (7.3.15)
結果	AC
実行時間	226 ms / 2,000 ms
コード長	12,565 bytes
コンパイル時間	381 ms
コンパイル使用メモリ	82,344 KB
実行使用メモリ	166,620 KB
最終ジャッジ日時	2024-09-27 09:02:08
合計ジャッジ時間	7,503 ms
ジャッジサーバーID （参考情報）	judge5 / 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	215 ms 166,436 KB
testcase_01	AC	208 ms 166,348 KB
testcase_02	AC	220 ms 166,156 KB
testcase_03	AC	209 ms 166,368 KB
testcase_04	AC	226 ms 166,496 KB
testcase_05	AC	220 ms 166,492 KB
testcase_06	AC	223 ms 166,276 KB
testcase_07	AC	204 ms 166,160 KB
testcase_08	AC	220 ms 166,504 KB
testcase_09	AC	205 ms 166,408 KB
testcase_10	AC	208 ms 166,148 KB
testcase_11	AC	220 ms 166,468 KB
testcase_12	AC	222 ms 166,440 KB
testcase_13	AC	217 ms 166,160 KB
testcase_14	AC	216 ms 166,376 KB
testcase_15	AC	220 ms 166,156 KB
testcase_16	AC	219 ms 166,436 KB
testcase_17	AC	222 ms 166,484 KB
testcase_18	AC	218 ms 166,572 KB
testcase_19	AC	216 ms 166,444 KB
testcase_20	AC	221 ms 166,160 KB
testcase_21	AC	220 ms 166,620 KB
testcase_22	AC	218 ms 166,508 KB
testcase_23	AC	220 ms 166,452 KB
testcase_24	AC	216 ms 166,304 KB
testcase_25	AC	208 ms 166,288 KB

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ソースコード

raw source code

import sys
if sys.platform =='ios':
	import clipboard
	a=clipboard.get()
	a = a.split('\n')
	text = '\n'.join(a)
	with open('input_file.txt','w') as f:
		f.write(text)
	sys.stdin = open('input_file.txt')





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 max(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'


fact = [1]

for i in range(1, 1100000):
	  fact.append(fact[-1] * i % MOD2)

def rev(x):
   return pow(x, MOD2-2, MOD2)
   
def c(i, k):
   if(i < k):return 0
   return fact[i] * rev(fact[k]) * rev(fact[i-k]) % MOD2
   

def main():
   
   H, W, K = i_map()
   
   ans = 0
   for i in range(1, H+1):
   	  if K % i == 0:
   	  	  j = K // i
   	  	  if j > W:
   	  	  	  continue
   	  	  t, y = H-i, W-j
   	  	  score = c(H, t) * c(W, y) % MOD2
   	  	  ans += score
   	  	  ans %= MOD2
   print(ans)
   
if __name__ == '__main__':
    main()

yukicoder

結果

テストケース

ソースコード