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#213816#2157. 数列STASISZHY1006419ms8996kbC++11888b2024-11-13 20:25:492024-11-13 23:06:04

answer

// Problem: B. 数列
// Contest: undefined - NOIP2024训练赛 04
// URL: http://noi.ac/contest/1156/problem/2157
// Memory Limit: 1024 MB
// Time Limit: 1000 ms
// 
// Powered by CP Editor (https://cpeditor.org)

#include<bits/stdc++.h>
#define int long long
#define fi first
#define se second
#define PII pair<int, int>

using namespace std;

const int N = 1e6 + 10, M = 1e6 + 10, mod = 1e9 + 7, INF = 0x3f3f3f3f;

int n, m, q, ans, p;
int s[N], dp[N];

// vector<int> e[N];

inline int ksm(int a, int b)
{
	int res = 1;
	while(b)
	{
		if(b & 1) res = res * a % p;
		a = a * a % p;
		b >>= 1;
	}
	return res;
}

signed main() 
{
	ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
  	dp[0] = 1;
  	cin >> n >> p;
  	for(int i = 1; i <= n; i++) dp[i] = (dp[i - 1] * (4 * i - 2) % p) * ksm(i + 1, p - 2) % p;
	cout << dp[n] << '\n';
	return 0;
}

详细

小提示:点击横条可展开更详细的信息

Test #1:

score: 5
Accepted
time: 0ms
memory: 1252kb

input:

921 998054347

output:

345389219

result:

ok single line: '345389219'

Test #2:

score: 5
Accepted
time: 0ms
memory: 1256kb

input:

926 998064329

output:

458756691

result:

ok single line: '458756691'

Test #3:

score: 5
Accepted
time: 0ms
memory: 1260kb

input:

1000 998074327

output:

457273797

result:

ok single line: '457273797'

Test #4:

score: 5
Accepted
time: 1ms
memory: 1256kb

input:

952 998084303

output:

329700115

result:

ok single line: '329700115'

Test #5:

score: 5
Accepted
time: 0ms
memory: 1256kb

input:

989 998094347

output:

94788253

result:

ok single line: '94788253'

Test #6:

score: 5
Accepted
time: 1ms
memory: 1256kb

input:

902 998104313

output:

911969455

result:

ok single line: '911969455'

Test #7:

score: 5
Accepted
time: 0ms
memory: 1252kb

input:

914 998114333

output:

827812986

result:

ok single line: '827812986'

Test #8:

score: 5
Accepted
time: 0ms
memory: 1256kb

input:

986 998124313

output:

169699253

result:

ok single line: '169699253'

Test #9:

score: 5
Accepted
time: 0ms
memory: 1256kb

input:

947 998134339

output:

761932751

result:

ok single line: '761932751'

Test #10:

score: 5
Accepted
time: 0ms
memory: 1252kb

input:

934 998144339

output:

42889072

result:

ok single line: '42889072'

Test #11:

score: 5
Accepted
time: 617ms
memory: 8996kb

input:

991572 998154343

output:

277089318

result:

ok single line: '277089318'

Test #12:

score: 5
Accepted
time: 600ms
memory: 8536kb

input:

932800 998164337

output:

945072504

result:

ok single line: '945072504'

Test #13:

score: 5
Accepted
time: 652ms
memory: 8312kb

input:

903603 998174341

output:

29916736

result:

ok single line: '29916736'

Test #14:

score: 5
Accepted
time: 644ms
memory: 8740kb

input:

958646 998184331

output:

802903490

result:

ok single line: '802903490'

Test #15:

score: 5
Accepted
time: 652ms
memory: 8928kb

input:

983016 998194349

output:

802900579

result:

ok single line: '802900579'

Test #16:

score: 5
Accepted
time: 589ms
memory: 8452kb

input:

922347 998204353

output:

228575331

result:

ok single line: '228575331'

Test #17:

score: 5
Accepted
time: 593ms
memory: 8876kb

input:

976053 998214317

output:

982618317

result:

ok single line: '982618317'

Test #18:

score: 5
Accepted
time: 660ms
memory: 8724kb

input:

957300 998224351

output:

514549818

result:

ok single line: '514549818'

Test #19:

score: 5
Accepted
time: 709ms
memory: 8448kb

input:

921760 998234353

output:

470386410

result:

ok single line: '470386410'

Test #20:

score: 5
Accepted
time: 701ms
memory: 8380kb

input:

912948 998244353

output:

129235345

result:

ok single line: '129235345'