結果

問題 No.1706 Many Bus Stops (hard)
ユーザー LyricalMaestro
提出日時 2024-02-09 01:38:48
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 48 ms / 2,000 ms
コード長 1,764 bytes
コンパイル時間 369 ms
コンパイル使用メモリ 81,792 KB
実行使用メモリ 60,800 KB
最終ジャッジ日時 2024-09-28 12:56:14
合計ジャッジ時間 3,192 ms
ジャッジサーバーID
(参考情報)
judge1 / judge5
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 2
other AC * 41
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 #
プレゼンテーションモードにする

## https://yukicoder.me/problems/no/1706
MOD = 10 ** 9 + 7
def prod(matrix1, matrix2):
new_matrix = [[0] * 4 for _ in range(4)]
for i in range(4):
for j in range(4):
for k in range(4):
new_matrix[i][j] += (matrix1[i][k] * matrix2[k][j]) % MOD
new_matrix[i][j] %= MOD
return new_matrix
def main():
C, N, M = map(int, input().split())
# 1N1
# 0: 1
# 1: x(x>=2)
# 2: 1
# 3: x(x>=2)
dp = [0] * 4
dp[0] = 1
inv_c = pow(C, MOD - 2, MOD)
inv_c1 = ((C - 1) * inv_c) % MOD
inv_c2 = ((C - 2) * inv_c) % MOD
matrix = [[0] * 4 for _ in range(4)]
matrix[0][0] = inv_c
matrix[3][0] = inv_c1
matrix[1][1] = inv_c
matrix[2][1] = inv_c
matrix[3][1] = inv_c2
matrix[0][2] = 1
matrix[1][3] = 1
base_matrix = [[0] * 4 for _ in range(4)]
for i in range(4):
base_matrix[i][i] = 1
while N > 0:
if N % 2 == 1:
base_matrix = prod(base_matrix, matrix)
matrix = prod(matrix, matrix)
N //= 2
init_vector = [1, 0, 0, 0]
vector = [0] * 4
for i in range(4):
for j in range(4):
vector[i] += (base_matrix[i][j] * init_vector[j]) % MOD
vector[i] %= MOD
ans = 0
for i in range(1, 4):
ans += vector[i]
ans %= MOD
# M
ans = pow(ans, M, MOD)
answer = (1 - ans) % MOD
print(answer)
if __name__ == "__main__":
main()
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0