UOJ Logo

NOI.AC

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#213785#2157. 数列Origami_Tobiichi100272ms9520kbC++11844b2024-11-13 19:34:512024-11-13 23:02:26

answer

#include <bits/stdc++.h>
using namespace std;
long long mod, n, ans = 1;
int cnt, c[2000001], z[5000001];
long long qp(long long a, long long b)
{
	long long ans = 1, l = a;
	while (b)
	{
		if (b & 1)
			ans = (ans * l) % mod;
		l = (l * l) % mod;
		b >>= 1;
	}
	return ans;
}
int main()
{
	scanf("%lld%lld", &n, &mod);
	for (int i = 2; i <= n * 2; ++i)
	{
		if (!c[i])
			z[++cnt] = i;
		for (int j = 1; j <= cnt && z[j] * i <= 2 * n; j++)
		{
			c[z[j] * i] = 1;
			if (i % z[j] == 0)
				break;
		}
	}
	for (int i = 1; i <= cnt; ++i)
	{
		long long s = 0, now = n * 2;
		while (now)
			s += now / z[i], now /= z[i];
		now = n;
		while (now)
			s -= now / z[i], now /= z[i];
		now = n + 1;
		while (now)
			s -= now / z[i], now /= z[i];
		ans = (ans * qp(z[i], s) % mod);
	}
	printf("%lld", ans);
}

Details

小提示:点击横条可展开更详细的信息

Test #1:

score: 5
Accepted
time: 0ms
memory: 1208kb

input:

921 998054347

output:

345389219

result:

ok single line: '345389219'

Test #2:

score: 5
Accepted
time: 0ms
memory: 1204kb

input:

926 998064329

output:

458756691

result:

ok single line: '458756691'

Test #3:

score: 5
Accepted
time: 0ms
memory: 1204kb

input:

1000 998074327

output:

457273797

result:

ok single line: '457273797'

Test #4:

score: 5
Accepted
time: 0ms
memory: 1208kb

input:

952 998084303

output:

329700115

result:

ok single line: '329700115'

Test #5:

score: 5
Accepted
time: 0ms
memory: 1204kb

input:

989 998094347

output:

94788253

result:

ok single line: '94788253'

Test #6:

score: 5
Accepted
time: 0ms
memory: 1204kb

input:

902 998104313

output:

911969455

result:

ok single line: '911969455'

Test #7:

score: 5
Accepted
time: 0ms
memory: 1208kb

input:

914 998114333

output:

827812986

result:

ok single line: '827812986'

Test #8:

score: 5
Accepted
time: 0ms
memory: 1204kb

input:

986 998124313

output:

169699253

result:

ok single line: '169699253'

Test #9:

score: 5
Accepted
time: 0ms
memory: 1208kb

input:

947 998134339

output:

761932751

result:

ok single line: '761932751'

Test #10:

score: 5
Accepted
time: 1ms
memory: 1208kb

input:

934 998144339

output:

42889072

result:

ok single line: '42889072'

Test #11:

score: 5
Accepted
time: 31ms
memory: 9520kb

input:

991572 998154343

output:

277089318

result:

ok single line: '277089318'

Test #12:

score: 5
Accepted
time: 35ms
memory: 9032kb

input:

932800 998164337

output:

945072504

result:

ok single line: '945072504'

Test #13:

score: 5
Accepted
time: 36ms
memory: 8788kb

input:

903603 998174341

output:

29916736

result:

ok single line: '29916736'

Test #14:

score: 5
Accepted
time: 34ms
memory: 9248kb

input:

958646 998184331

output:

802903490

result:

ok single line: '802903490'

Test #15:

score: 5
Accepted
time: 19ms
memory: 9448kb

input:

983016 998194349

output:

802900579

result:

ok single line: '802900579'

Test #16:

score: 5
Accepted
time: 21ms
memory: 8944kb

input:

922347 998204353

output:

228575331

result:

ok single line: '228575331'

Test #17:

score: 5
Accepted
time: 23ms
memory: 9396kb

input:

976053 998214317

output:

982618317

result:

ok single line: '982618317'

Test #18:

score: 5
Accepted
time: 22ms
memory: 9232kb

input:

957300 998224351

output:

514549818

result:

ok single line: '514549818'

Test #19:

score: 5
Accepted
time: 24ms
memory: 8936kb

input:

921760 998234353

output:

470386410

result:

ok single line: '470386410'

Test #20:

score: 5
Accepted
time: 26ms
memory: 8860kb

input:

912948 998244353

output:

129235345

result:

ok single line: '129235345'