Submission #445750

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
445750	2021-07-19T13:08:44 Z	hamerin	Phibonacci (kriii2_P)	PyPy 3	1 / 4	51 ms	18292 KB

P

mod = int(1e9+7)


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)

if Fk == 0:
    print(-1)
    exit(0)

A = (Fnk * ext_euc(Fk, mod)[1]) % mod 
B = (Fnkm1 - A * Fkm1) % mod
print(A, B)

Subtask #1

1.0 / 1.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	42 ms	18212 KB	Output is correct
2	Correct	38 ms	18100 KB	Output is correct
3	Correct	39 ms	18128 KB	Output is correct
4	Correct	38 ms	18152 KB	Output is correct
5	Correct	40 ms	18292 KB	Output is correct
6	Correct	40 ms	18220 KB	Output is correct
7	Correct	38 ms	18212 KB	Output is correct
8	Correct	38 ms	18200 KB	Output is correct
9	Correct	48 ms	18176 KB	Output is correct
10	Correct	41 ms	18120 KB	Output is correct
11	Correct	42 ms	18132 KB	Output is correct
12	Correct	38 ms	18156 KB	Output is correct
13	Correct	38 ms	18184 KB	Output is correct
14	Correct	38 ms	18152 KB	Output is correct
15	Correct	40 ms	18236 KB	Output is correct
16	Correct	39 ms	18216 KB	Output is correct
17	Correct	42 ms	18120 KB	Output is correct
18	Correct	38 ms	18140 KB	Output is correct
19	Correct	42 ms	18212 KB	Output is correct
20	Correct	41 ms	18136 KB	Output is correct

Subtask #2

0 / 3.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	39 ms	18180 KB	Output is correct
2	Correct	42 ms	18196 KB	Output is correct
3	Correct	40 ms	18212 KB	Output is correct
4	Correct	40 ms	18124 KB	Output is correct
5	Correct	39 ms	18200 KB	Output is correct
6	Correct	40 ms	18208 KB	Output is correct
7	Correct	39 ms	18128 KB	Output is correct
8	Correct	40 ms	18248 KB	Output is correct
9	Correct	39 ms	18124 KB	Output is correct
10	Correct	49 ms	18216 KB	Output is correct
11	Correct	40 ms	18116 KB	Output is correct
12	Correct	43 ms	18216 KB	Output is correct
13	Correct	42 ms	18100 KB	Output is correct
14	Correct	40 ms	18212 KB	Output is correct
15	Correct	39 ms	18200 KB	Output is correct
16	Correct	41 ms	18168 KB	Output is correct
17	Correct	41 ms	18124 KB	Output is correct
18	Correct	51 ms	18188 KB	Output is correct
19	Incorrect	43 ms	18212 KB	Output isn't correct
20	Halted	0 ms	0 KB	-