답안 #445757

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
445757 2021-07-19T13:41:37 Z hamerin Phibonacci (kriii2_P) PyPy 3
1 / 4
51 ms 18260 KB
M = int(1e9 + 7)
mod = M**16


def ext_euc(a, b):
    if b == 0:
        return (a, 1, 0)
    g, x, y = ext_euc(b, a % b)
    return (g, y, x-(a//b)*y)


def matmul(l, r):
    return [[(l[0][0]*r[0][0]+l[0][1]*r[1][0]) % mod, (l[0][0]*r[0][1]+l[0][1]*r[1][1]) % mod],
            [(l[1][0]*r[0][0]+l[1][1]*r[1][0]) % mod, (l[1][0]*r[0][1]+l[1][1]*r[1][1]) % mod]]


def fibo(n):
    if n == -1:
        return 1

    base = [[1, 1], [1, 0]]
    target = [[1, 0], [0, 1]]
    while n:
        if n % 2:
            target = matmul(target, base)
        base = matmul(base, base)
        n //= 2

    return target[0][1]


N, K = map(int, input().split())

Fnk = fibo(N*K)
Fk = fibo(K)
Fnkm1 = fibo(N*K-1)
Fkm1 = fibo(K-1)

while Fk % M == 0 and Fnk % M == 0:
    Fk /= M
    Fnk /= M

A = (Fnk * ext_euc(Fk, M)[1]) % M
B = (Fnkm1 - A * Fkm1) % M
print(A, B)
# 결과 실행 시간 메모리 Grader output
1 Correct 42 ms 18148 KB Output is correct
2 Correct 41 ms 18212 KB Output is correct
3 Correct 41 ms 18212 KB Output is correct
4 Correct 41 ms 18156 KB Output is correct
5 Correct 41 ms 18244 KB Output is correct
6 Correct 42 ms 18136 KB Output is correct
7 Correct 42 ms 18140 KB Output is correct
8 Correct 42 ms 18144 KB Output is correct
9 Correct 41 ms 18260 KB Output is correct
10 Correct 42 ms 18232 KB Output is correct
11 Correct 51 ms 18116 KB Output is correct
12 Correct 42 ms 18212 KB Output is correct
13 Correct 41 ms 18176 KB Output is correct
14 Correct 42 ms 18180 KB Output is correct
15 Correct 41 ms 18252 KB Output is correct
16 Correct 42 ms 18188 KB Output is correct
17 Correct 41 ms 18160 KB Output is correct
18 Correct 40 ms 18168 KB Output is correct
19 Correct 42 ms 18224 KB Output is correct
20 Correct 41 ms 18192 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 44 ms 18136 KB Output is correct
2 Correct 46 ms 18140 KB Output is correct
3 Correct 43 ms 18208 KB Output is correct
4 Correct 43 ms 18184 KB Output is correct
5 Correct 44 ms 18216 KB Output is correct
6 Correct 44 ms 18204 KB Output is correct
7 Correct 44 ms 18144 KB Output is correct
8 Correct 44 ms 18212 KB Output is correct
9 Correct 44 ms 18140 KB Output is correct
10 Correct 46 ms 18252 KB Output is correct
11 Correct 45 ms 18220 KB Output is correct
12 Correct 50 ms 18232 KB Output is correct
13 Correct 46 ms 18168 KB Output is correct
14 Correct 43 ms 18164 KB Output is correct
15 Correct 51 ms 18248 KB Output is correct
16 Correct 48 ms 18152 KB Output is correct
17 Correct 44 ms 18144 KB Output is correct
18 Correct 45 ms 18212 KB Output is correct
19 Incorrect 43 ms 18136 KB Output isn't correct
20 Halted 0 ms 0 KB -