結果

問題 No.2531 Coloring Vertices on Namori
ユーザー StanMarshStanMarsh
提出日時 2023-11-04 17:27:54
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 551 ms / 2,000 ms
コード長 6,383 bytes
コンパイル時間 392 ms
コンパイル使用メモリ 82,388 KB
実行使用メモリ 184,680 KB
最終ジャッジ日時 2024-09-25 22:10:31
合計ジャッジ時間 15,678 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
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 128 ms
90,180 KB
testcase_01 AC 129 ms
90,240 KB
testcase_02 AC 131 ms
90,368 KB
testcase_03 AC 133 ms
90,240 KB
testcase_04 AC 132 ms
90,368 KB
testcase_05 AC 387 ms
161,664 KB
testcase_06 AC 129 ms
90,240 KB
testcase_07 AC 386 ms
161,280 KB
testcase_08 AC 543 ms
157,056 KB
testcase_09 AC 540 ms
157,056 KB
testcase_10 AC 537 ms
157,000 KB
testcase_11 AC 318 ms
184,636 KB
testcase_12 AC 312 ms
184,508 KB
testcase_13 AC 311 ms
184,680 KB
testcase_14 AC 536 ms
159,072 KB
testcase_15 AC 541 ms
159,104 KB
testcase_16 AC 549 ms
159,064 KB
testcase_17 AC 133 ms
90,396 KB
testcase_18 AC 132 ms
90,320 KB
testcase_19 AC 129 ms
90,240 KB
testcase_20 AC 541 ms
152,764 KB
testcase_21 AC 551 ms
152,880 KB
testcase_22 AC 529 ms
150,728 KB
testcase_23 AC 515 ms
153,088 KB
testcase_24 AC 505 ms
152,832 KB
testcase_25 AC 516 ms
152,448 KB
testcase_26 AC 525 ms
151,168 KB
testcase_27 AC 520 ms
150,528 KB
testcase_28 AC 530 ms
153,216 KB
testcase_29 AC 519 ms
153,088 KB
testcase_30 AC 535 ms
150,840 KB
testcase_31 AC 542 ms
150,656 KB
testcase_32 AC 531 ms
153,216 KB
testcase_33 AC 527 ms
151,024 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: ...


from typing import List


class Namori:
    def __init__(self, G: List[List[int]]):
        n = len(G)
        deg = [0] * n
        for v in range(n):
            for x in G[v]:
                deg[x] += 1
        todo = [i for i, x in enumerate(deg) if x == 1]
        cycle = set(range(n))
        while todo:
            v = todo.pop()
            cycle.discard(v)
            for x in G[v]:
                deg[x] -= 1
                if deg[x] == 1:
                    todo.append(x)
        tree = []
        treeid = [-1] * n
        now = 0
        cycle_list = list(cycle)
        for i in cycle_list:
            tmp = []
            todo = [i]
            treeid[i] = now
            while todo:
                v = todo.pop()
                tmp.append(v)
                for x in G[v]:
                    if treeid[x] != -1 or x in cycle:
                        continue
                    todo.append(x)
                    treeid[x] = now
            now += 1
            tree.append(tmp)

        self.cycle = cycle_list
        self.tree = tree
        self.treeid = treeid

    def same_tree(self, u: int, v: int) -> bool:
        return self.treeid[u] == self.treeid[v]

    def get_cycle(self):
        return self.cycle

    def get_tree(self):
        return self.tree


ic = Debug(1).get_ic()


n, k = MII()
mod = 998244353
g = read_graph(n, n, 1)
namori = Namori(g)


m = len(namori.get_cycle())


dp = [0] * (m + 1)
dp[1] = k
dp[2] = k * (k - 1)
for i in range(3, m + 1):

    dp[i] = k * pow(k - 1, i - 1, mod) - dp[i - 1]
    dp[i] %= mod
res = dp[m]
res = res * pow(k - 1, n - m, mod)
res %= mod
print(res)
0