Submission #19819

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
19819	2016-02-25T05:55:15 Z	xdoju	팔찌 (kriii4_V)	C++14	6 / 100	1000 ms	1084 KB

V

#include <cstdio>
using namespace std;

const long long MOD = 1000000007ll;

long long modpow(long long r, long long n) {
	long long ret = 1;
	while (n > 0) {
		if (n % 2 > 0) {
			ret = (ret * r) % MOD;
		}
		r = (r * r) % MOD;
		n /= 2;
	}
	return ret;
}

long long modinv(long long n) {
	return modpow(n, MOD - 2);
}

long long modprod(long long a, long long b) {
	a = a % MOD;
	b = b % MOD;
	return (a * b) % MOD;
}

long long modprod(long long a, long long b, long long c) {
	c = c % MOD;
	return (modprod(a, b) * c) % MOD;
}

long long moddiv(long long a, long long b) {
	return (a * modinv(b)) % MOD;
}

long long gcd(long long a, long long b) {
	if (a < b) {
		return gcd(b, a);
	}
	return (b == 0) ? a : gcd(b, a % b);
}

void proc() {
	long long n, k;
	scanf("%lld %lld", &n, &k);

	long long ans = 1;
	for (long long i = 1; i <= n; ++i) {
		long long t = 0;
		for (long long p = 1; p <= i; ++p) {
			t = (t + modpow(k, gcd(i, p))) % MOD;
		}
		t = moddiv(t, i);


		long long u = 0;
		if (i % 2 == 0) {
			u = moddiv(t, 2);
			long long v = modprod(k + 1, modpow(k, i / 2));
			v = moddiv(v, 4);
			u = (u + v) % MOD;
		}
		else {
			u = moddiv(t, 2);
			long long v = modpow(k, (i + 1) / 2);
			v = moddiv(v, 2);
			u = (u + v) % MOD;
		}

		ans = (ans + u) % MOD;
	}
	printf("%lld", ans);
}

int main() {
	//freopen("input.txt", "r", stdin);
	proc();
	return 0;
}

Subtask #1

6.0 / 6.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	1084 KB	Output is correct
2	Correct	0 ms	1084 KB	Output is correct
3	Correct	0 ms	1084 KB	Output is correct
4	Correct	0 ms	1084 KB	Output is correct
5	Correct	0 ms	1084 KB	Output is correct
6	Correct	0 ms	1084 KB	Output is correct
7	Correct	0 ms	1084 KB	Output is correct
8	Correct	0 ms	1084 KB	Output is correct
9	Correct	0 ms	1084 KB	Output is correct
10	Correct	0 ms	1084 KB	Output is correct
11	Correct	0 ms	1084 KB	Output is correct
12	Correct	0 ms	1084 KB	Output is correct
13	Correct	0 ms	1084 KB	Output is correct
14	Correct	0 ms	1084 KB	Output is correct
15	Correct	0 ms	1084 KB	Output is correct
16	Correct	0 ms	1084 KB	Output is correct
17	Correct	0 ms	1084 KB	Output is correct
18	Correct	0 ms	1084 KB	Output is correct
19	Correct	0 ms	1084 KB	Output is correct
20	Correct	0 ms	1084 KB	Output is correct

Subtask #2

0.0 / 94.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	1084 KB	Output is correct
2	Correct	20 ms	1084 KB	Output is correct
3	Correct	105 ms	1084 KB	Output is correct
4	Execution timed out	1000 ms	1080 KB	Program timed out
5	Halted	0 ms	0 KB	-