Submission #445756

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
445756	2021-07-19T13:38:03 Z	hamerin	Phibonacci (kriii2_P)	PyPy 3	1 / 4	58 ms	18524 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, mod)[1]) % M
B = (Fnkm1 - A * Fkm1) % M
print(A, B)

Subtask #1

1.0 / 1.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	44 ms	18180 KB	Output is correct
2	Correct	41 ms	18240 KB	Output is correct
3	Correct	41 ms	18172 KB	Output is correct
4	Correct	42 ms	18188 KB	Output is correct
5	Correct	45 ms	18148 KB	Output is correct
6	Correct	41 ms	18144 KB	Output is correct
7	Correct	41 ms	18112 KB	Output is correct
8	Correct	41 ms	18148 KB	Output is correct
9	Correct	42 ms	18124 KB	Output is correct
10	Correct	42 ms	18212 KB	Output is correct
11	Correct	45 ms	18244 KB	Output is correct
12	Correct	41 ms	18140 KB	Output is correct
13	Correct	43 ms	18188 KB	Output is correct
14	Correct	42 ms	18168 KB	Output is correct
15	Correct	42 ms	18132 KB	Output is correct
16	Correct	52 ms	18132 KB	Output is correct
17	Correct	42 ms	18128 KB	Output is correct
18	Correct	42 ms	18172 KB	Output is correct
19	Correct	41 ms	18160 KB	Output is correct
20	Correct	46 ms	18192 KB	Output is correct

Subtask #2

0 / 3.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	56 ms	18340 KB	Output is correct
2	Correct	49 ms	18524 KB	Output is correct
3	Correct	44 ms	18432 KB	Output is correct
4	Correct	44 ms	18316 KB	Output is correct
5	Correct	45 ms	18468 KB	Output is correct
6	Correct	45 ms	18316 KB	Output is correct
7	Correct	44 ms	18356 KB	Output is correct
8	Correct	45 ms	18428 KB	Output is correct
9	Correct	48 ms	18380 KB	Output is correct
10	Correct	57 ms	18296 KB	Output is correct
11	Correct	43 ms	18308 KB	Output is correct
12	Correct	43 ms	18380 KB	Output is correct
13	Correct	45 ms	18308 KB	Output is correct
14	Correct	54 ms	18404 KB	Output is correct
15	Correct	45 ms	18432 KB	Output is correct
16	Correct	55 ms	18464 KB	Output is correct
17	Correct	58 ms	18332 KB	Output is correct
18	Correct	45 ms	18316 KB	Output is correct
19	Incorrect	44 ms	18188 KB	Output isn't correct
20	Halted	0 ms	0 KB	-