Submission #445757

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
445757	2021-07-19T13:41:37 Z	hamerin	Phibonacci (kriii2_P)	PyPy 3	1 / 4	51 ms	18260 KB

P

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)

Subtask #1

1.0 / 1.0

#	Verdict	Execution time	Memory	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

Subtask #2

0 / 3.0

#	Verdict	Execution time	Memory	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	-