結果

問題 No.2527 H and W
ユーザー StanMarshStanMarsh
提出日時 2023-11-03 21:50:53
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 291 ms / 2,000 ms
コード長 6,076 bytes
コンパイル時間 236 ms
コンパイル使用メモリ 81,884 KB
実行使用メモリ 121,348 KB
最終ジャッジ日時 2023-11-03 21:51:01
合計ジャッジ時間 7,421 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge14
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 141 ms
89,468 KB
testcase_01 AC 151 ms
89,468 KB
testcase_02 AC 272 ms
121,308 KB
testcase_03 AC 150 ms
89,468 KB
testcase_04 AC 254 ms
121,004 KB
testcase_05 AC 249 ms
121,060 KB
testcase_06 AC 251 ms
121,344 KB
testcase_07 AC 149 ms
89,464 KB
testcase_08 AC 267 ms
121,292 KB
testcase_09 AC 200 ms
105,376 KB
testcase_10 AC 199 ms
105,376 KB
testcase_11 AC 280 ms
121,300 KB
testcase_12 AC 258 ms
121,300 KB
testcase_13 AC 258 ms
121,312 KB
testcase_14 AC 277 ms
121,312 KB
testcase_15 AC 253 ms
121,308 KB
testcase_16 AC 267 ms
121,308 KB
testcase_17 AC 265 ms
121,348 KB
testcase_18 AC 291 ms
121,308 KB
testcase_19 AC 226 ms
108,036 KB
testcase_20 AC 224 ms
108,328 KB
testcase_21 AC 226 ms
105,692 KB
testcase_22 AC 221 ms
105,684 KB
testcase_23 AC 223 ms
105,688 KB
testcase_24 AC 239 ms
109,300 KB
testcase_25 AC 199 ms
103,652 KB
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ソースコード

diff # 

from random import getrandbits, randrange
from string import ascii_lowercase, ascii_uppercase
import sys
from math import ceil, floor, sqrt, pi, factorial, gcd, log, log10, log2, inf, cos, sin
from copy import deepcopy, copy
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 lru_cache, reduce
from decimal import Decimal, getcontext
from typing import List, Tuple, Optional


inf = float("inf")


def ceil_div(a, b):
    return (a + b - 1) // b


def isqrt(num):
    res = int(sqrt(num))
    while res * res > num:
        res -= 1
    while (res + 1) * (res + 1) <= num:
        res += 1
    return res


def int1(s):
    return int(s) - 1


from types import GeneratorType


def bootstrap(f, stack=[]):
    def wrapped(*args, **kwargs):
        if stack:
            return f(*args, **kwargs)
        else:
            to = f(*args, **kwargs)
            while True:
                if type(to) is GeneratorType:
                    stack.append(to)
                    to = next(to)
                else:
                    stack.pop()
                    if not stack:
                        break
                    to = stack[-1].send(to)
            return to

    return wrapped


import sys
import os

input = lambda: sys.stdin.readline().rstrip("\r\n")

print = lambda *args, end="\n", sep=" ": sys.stdout.write(
    sep.join(map(str, args)) + end
)


def II():
    return int(input())


def MII(base=0):
    return map(lambda s: int(s) - base, input().split())


def LII(base=0):
    return list(MII(base))


def NA():
    n = II()
    a = LII()
    return n, a


def read_graph(n, m, base=0, directed=False, return_edges=False):

    g = [[] for _ in range(n)]
    edges = []
    for _ in range(m):
        a, b = MII(base)
        if return_edges:
            edges.append((a, b))
        g[a].append(b)
        if not directed:
            g[b].append(a)
    if return_edges:
        return g, edges
    return g


def read_graph_with_weight(n, m, base=0, directed=False, return_edges=False):

    g = [[] for _ in range(n)]
    edges = []
    for _ in range(m):
        a, b, w = MII()
        a, b = a - base, b - base
        if return_edges:
            edges.append((a, b, w))
        g[a].append((b, w))
        if not directed:
            g[b].append((a, w))
    if return_edges:
        return g, edges
    return g


def iterate_tokens():
    for line in sys.stdin:
        for word in line.split():
            yield word


tokens = None


def NI():
    global tokens
    if tokens is None:
        tokens = iterate_tokens()
    return int(next(tokens))


def LNI(n):
    return [NI() for _ in range(n)]


def yes(res):
    print("Yes" if res else "No")


def YES(res):
    print("YES" if res else "NO")


def pairwise(a):
    n = len(a)
    for i in range(n - 1):
        yield a[i], a[i + 1]


def factorial(n):
    return reduce(lambda x, y: x * y, range(1, n + 1))


def cmin(dp, i, x):
    if x < dp[i]:
        dp[i] = x


def cmax(dp, i, x):
    if x > dp[i]:
        dp[i] = x


def alp_a_to_i(s):
    return ord(s) - ord("a")


def alp_A_to_i(s):
    return ord(s) - ord("A")


def alp_i_to_a(i):
    return chr(ord("a") + i)


def alp_i_to_A(i):
    return chr(ord("A") + i)


d4 = [(1, 0), (0, 1), (-1, 0), (0, -1)]
d8 = [(1, 0), (1, 1), (0, 1), (-1, 1), (-1, 0), (-1, -1), (0, -1), (1, -1)]


def ranges(n, m):
    return ((i, j) for i in range(n) for j in range(m))


def valid(i, j, n, m):
    return 0 <= i < n and 0 <= j < m


def ninj(i, j, n, m):
    return [(i + di, j + dj) for di, dj in d4 if valid(i + di, j + dj, n, m)]


def gen(x, *args):
    if len(args) == 1:
        return [x] * args[0]
    if len(args) == 2:
        return [[x] * args[1] for _ in [0] * args[0]]
    if len(args) == 3:
        return [[[x] * args[2] for _ in [0] * args[1]] for _ in [0] * args[0]]
    if len(args) == 4:
        return [
            [[[x] * args[3] for _ in [0] * args[2]] for _ in [0] * args[1]]
            for _ in [0] * args[0]
        ]


list2d = lambda a, b, v: [[v] * b for _ in range(a)]
list3d = lambda a, b, c, v: [[[v] * c for _ in range(b)] for _ in range(a)]


class Debug:
    def __init__(self, debug=False):
        self.debug = debug
        cur_path = os.path.dirname(os.path.abspath(__file__))
        self.local = os.path.exists(cur_path + "/.cph")

    def get_ic(self):
        if self.debug and self.local:
            from icecream import ic

            return ic
        else:
            return lambda *args, **kwargs: ...


class Factorial:
    def __init__(self, N, mod) -> None:
        N += 1
        self.mod = mod
        self.f = [1 for _ in range(N)]
        self.g = [1 for _ in range(N)]
        for i in range(1, N):
            self.f[i] = self.f[i - 1] * i % self.mod
        self.g[-1] = pow(self.f[-1], mod - 2, mod)
        for i in range(N - 2, -1, -1):
            self.g[i] = self.g[i + 1] * (i + 1) % self.mod

    def fac(self, n):
        return self.f[n]

    def fac_inv(self, n):
        return self.g[n]

    def comb(self, n, m):
        if n < m or m < 0 or n < 0:
            return 0
        return self.f[n] * self.g[m] % self.mod * self.g[n - m] % self.mod

    def perm(self, n, m):
        if n < m or m < 0 or n < 0:
            return 0
        return self.f[n] * self.g[n - m] % self.mod

    def catalan(self, n):
        return (self.comb(2 * n, n) - self.comb(2 * n, n - 1)) % self.mod

    def inv(self, n):
        return self.f[n - 1] * self.g[n] % self.mod


mod = 998244353


ic = Debug(0).get_ic()
n, m, k = MII()
fact = Factorial(n + m, mod=mod)
res = 0
for i in range(n + 1):

    if n * m - i * m < k:
        break
    j = (n * m - i * m - k) // (n - i)
    if (n - i) * j != n * m - i * m - k:
        continue
    ic(i, j)
    res += fact.comb(n, i) * fact.comb(m, j)
    res %= mod
    ic(res)
print(res)
0