結果

問題 No.2487 Multiple of M
ユーザー prin_kemkemprin_kemkem
提出日時 2023-09-29 22:45:05
言語 PyPy3
(7.3.15)
結果
WA  
実行時間 -
コード長 3,159 bytes
コンパイル時間 656 ms
コンパイル使用メモリ 82,504 KB
実行使用メモリ 80,900 KB
最終ジャッジ日時 2024-07-23 06:54:50
合計ジャッジ時間 7,173 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
(要ログイン)

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 96 ms
80,316 KB
testcase_01 AC 95 ms
80,292 KB
testcase_02 AC 97 ms
80,292 KB
testcase_03 WA -
testcase_04 AC 96 ms
80,508 KB
testcase_05 AC 95 ms
80,328 KB
testcase_06 AC 98 ms
80,308 KB
testcase_07 AC 96 ms
80,524 KB
testcase_08 AC 97 ms
80,508 KB
testcase_09 AC 99 ms
80,408 KB
testcase_10 AC 97 ms
80,272 KB
testcase_11 AC 97 ms
80,520 KB
testcase_12 AC 97 ms
80,444 KB
testcase_13 AC 96 ms
80,232 KB
testcase_14 AC 98 ms
80,540 KB
testcase_15 AC 98 ms
80,488 KB
testcase_16 AC 97 ms
80,428 KB
testcase_17 AC 98 ms
80,292 KB
testcase_18 AC 97 ms
80,396 KB
testcase_19 AC 98 ms
80,404 KB
testcase_20 AC 98 ms
80,340 KB
testcase_21 WA -
testcase_22 WA -
testcase_23 WA -
testcase_24 WA -
testcase_25 WA -
testcase_26 WA -
testcase_27 WA -
testcase_28 WA -
testcase_29 WA -
testcase_30 WA -
testcase_31 AC 96 ms
80,504 KB
testcase_32 AC 96 ms
80,512 KB
testcase_33 AC 96 ms
80,512 KB
testcase_34 AC 94 ms
80,460 KB
testcase_35 AC 96 ms
80,652 KB
testcase_36 AC 96 ms
80,388 KB
testcase_37 AC 95 ms
80,392 KB
testcase_38 WA -
testcase_39 AC 99 ms
80,160 KB
testcase_40 AC 96 ms
80,660 KB
testcase_41 AC 94 ms
80,520 KB
testcase_42 AC 96 ms
80,280 KB
testcase_43 AC 96 ms
80,336 KB
testcase_44 AC 103 ms
80,548 KB
testcase_45 AC 95 ms
80,636 KB
testcase_46 AC 96 ms
80,496 KB
testcase_47 AC 95 ms
80,380 KB
testcase_48 AC 97 ms
80,448 KB
testcase_49 AC 98 ms
80,348 KB
testcase_50 WA -
testcase_51 AC 95 ms
80,084 KB
testcase_52 AC 94 ms
80,344 KB
testcase_53 AC 95 ms
80,424 KB
testcase_54 WA -
testcase_55 AC 95 ms
80,212 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

from collections import defaultdict, deque, Counter
import copy
from itertools import combinations, permutations, product, accumulate, groupby, chain
from heapq import heapify, heappop, heappush
import math
import bisect
from pprint import pprint
from random import randint
import sys
# sys.setrecursionlimit(700000)
input = lambda: sys.stdin.readline().rstrip('\n')
inf = float('inf')
mod1 = 10**9+7
mod2 = 998244353
def ceil_div(x, y): return -(-x//y)

#################################################

class Matrix():
    def __init__(self, mat, mod=None):
        self.mat = mat
        self.n = len(mat)
        self.m = len(mat[0])
        self.mod = mod
    def __mul__(self, other):
        ret = Matrix([[0]*other.m for _ in range(self.n)], self.mod)
        for i in range(self.n):
            for j in range(other.m):
                for k in range(self.m):
                    ret[i][j] += self.mat[i][k]*other.mat[k][j]
                    if self.mod is not None: ret[i][j] %= self.mod
        return ret
    def __add__(self, other):
        ret = Matrix([[self.mat[i][j] for j in range(self.m)] for i in range(self.n)], self.mod)
        for i in range(other.n):
            for j in range(other.m):
                ret[i][j] += other.mat[i][j]
                if self.mod is not None: ret[i][j] %= self.mod
        return ret
    def __sub__(self, other):
        ret = Matrix([[self.mat[i][j] for j in range(self.m)] for i in range(self.n)], self.mod)
        for i in range(other.n):
            for j in range(other.m):
                ret[i][j] -= other.mat[i][j]
                if self.mod is not None: ret[i][j] %= self.mod
        return ret
    def __pow__(self, scalar):
        a = Matrix([[self.mat[i][j] for j in range(self.m)] for i in range(self.n)], self.mod)
        ret = Matrix.e(self.n, self.mod)
        while scalar:
            if scalar&1:
                ret *= a
            a *= a
            scalar >>= 1
        return ret
    def scalar_mul(self, a):
        ret = Matrix([[self.mat[i][j] for j in range(self.m)] for i in range(self.n)], self.mod)
        for i in range(self.n):
            for j in range(self.m):
                ret[i][j] *= a
                if self.mod is not None: ret[i][j] %= self.mod
        return ret
    def __repr__(self) -> str:
        return self.mat.__repr__()
    def __getitem__(self, i):
        return self.mat[i]
    def __setitem__(self, i, x):
        self.mat[i] = x
    def __len__(self):
        return len(self.mat)
    def t(self):
        return Matrix([list(column) for column in zip(*self.mat)], self.mod)
    def turn(matrix):
        if type(matrix) != 'Matrix':
            return Matrix([list(column) for column in zip(*matrix)])
        return Matrix([list(column) for column in zip(*matrix.mat)], matrix.mod)
    def e(size, mod):
        return Matrix([[i == j for j in range(size)] for i in range(size)], mod)

N, M, K = map(int, input().split())
d = math.gcd(M, K)
M //= d; K //= d
if M >= 2:
    a = Matrix([[0], [1]], mod=mod2)
    A = Matrix([[d-1, d*(M-1)%mod2], [d, (d-1+d*(M-2))%mod2]], mod=mod2)
    print((A**(N-1) * a)[0][0])
else:
    print(0)
0