UOJ Logo

NOI.AC

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#213770#2157. 数列wanghanyu393100642ms48844kbC++111.1kb2024-11-13 19:07:372024-11-13 23:01:02

answer

#include<iostream>
#include<cstring>
#include<algorithm>
using namespace std;
#define int long long
const int N = 2e6 + 5;

int is_prime[N], prime[N], pre[N], cnt;
int count1[N];

void euler(int n){
	for(int i = 2; i <= n; i++){
		if(!is_prime[i]) prime[cnt++] = i, pre[i] = i;
		for(int j = 0; j < cnt && i * prime[j] <= n; j++){
			is_prime[i * prime[j]] = 1;
			pre[i * prime[j]] = prime[j];
			if(i % prime[j] == 0) break;
		}
	}
}

int fast_power(int a, int b, int p){
	int ans = 1;
	while(b){
		if(b & 1) ans = ans * a % p;
		a = a * a % p;
		b >>= 1;
	}
	return ans;
}

void solve(){
	int n, p;
	cin >> n >> p;
	euler(n * 2);
	for(int i = 1; i <= n; i++) count1[i] = -1;
	for(int i = n + 2; i <= 2 * n; i++) count1[i] = 1;
	for(int i = 2 * n; i > 1; i--){
		if(pre[i] < i){
			count1[pre[i]] += count1[i];
			count1[i / pre[i]] += count1[i];
		}
	}
	int ans = 1;
	for(int i = 2; i <= n * 2; i++){
		if(pre[i] == i){
			ans = ans * fast_power(i, count1[i], p) % p;
		}
	}
	cout << ans << '\n';
}

signed main(){
	int t = 1;
	//cin >> t;
	while(t--){
		solve();
	}
	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: 1ms
memory: 1260kb

input:

1000 998074327

output:

457273797

result:

ok single line: '457273797'

Test #4:

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

input:

952 998084303

output:

329700115

result:

ok single line: '329700115'

Test #5:

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

input:

989 998094347

output:

94788253

result:

ok single line: '94788253'

Test #6:

score: 5
Accepted
time: 1ms
memory: 1248kb

input:

902 998104313

output:

911969455

result:

ok single line: '911969455'

Test #7:

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

input:

914 998114333

output:

827812986

result:

ok single line: '827812986'

Test #8:

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

input:

986 998124313

output:

169699253

result:

ok single line: '169699253'

Test #9:

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

input:

947 998134339

output:

761932751

result:

ok single line: '761932751'

Test #10:

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

input:

934 998144339

output:

42889072

result:

ok single line: '42889072'

Test #11:

score: 5
Accepted
time: 116ms
memory: 48844kb

input:

991572 998154343

output:

277089318

result:

ok single line: '277089318'

Test #12:

score: 5
Accepted
time: 68ms
memory: 46020kb

input:

932800 998164337

output:

945072504

result:

ok single line: '945072504'

Test #13:

score: 5
Accepted
time: 58ms
memory: 44620kb

input:

903603 998174341

output:

29916736

result:

ok single line: '29916736'

Test #14:

score: 5
Accepted
time: 58ms
memory: 47260kb

input:

958646 998184331

output:

802903490

result:

ok single line: '802903490'

Test #15:

score: 5
Accepted
time: 54ms
memory: 48432kb

input:

983016 998194349

output:

802900579

result:

ok single line: '802900579'

Test #16:

score: 5
Accepted
time: 49ms
memory: 45524kb

input:

922347 998204353

output:

228575331

result:

ok single line: '228575331'

Test #17:

score: 5
Accepted
time: 58ms
memory: 48096kb

input:

976053 998214317

output:

982618317

result:

ok single line: '982618317'

Test #18:

score: 5
Accepted
time: 61ms
memory: 47196kb

input:

957300 998224351

output:

514549818

result:

ok single line: '514549818'

Test #19:

score: 5
Accepted
time: 60ms
memory: 45496kb

input:

921760 998234353

output:

470386410

result:

ok single line: '470386410'

Test #20:

score: 5
Accepted
time: 56ms
memory: 45076kb

input:

912948 998244353

output:

129235345

result:

ok single line: '129235345'