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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
#213771#2157. 数列jsxheng100893ms33268kbC++111.2kb2024-11-13 19:15:022024-11-13 23:01:07

answer

#include<bits/stdc++.h>
#define int long long
using namespace std;
namespace IO{
	template<typename T> inline void read(T &x){
		bool f=1;x=0;char ch=getchar();
		while(ch<'0'||ch>'9'){if(ch=='-')f=0;ch=getchar();}
		while(ch>='0'&&ch<='9')x=(x<<1)+(x<<3)+(ch&15),ch=getchar();
		x=f?x:-x;
	}
	template<typename T> inline void write(T x){
		if(x<0) putchar('-'),x=-x;
	   	if(x>9) write(x/10);
	   	putchar(('0'+x%10));
	}
	template <typename T,typename ...Args> inline void read(T &x,Args &...args){read(x);read(args...);}
	template<typename T> inline void write(T x,char c){write(x),putchar(c);}
}
using namespace IO;
const int N=2000005;
int mp[N],p[200005],cnt[N],n,mod;
int qpow(int a,int k){
	int res=1;
	while(k){
		if(k&1)res=res*a%mod;
		k>>=1;
		a=a*a%mod;
	}
	return res;
}
signed main(){
	read(n,mod);
	int pos=0;
	for(int i=2;i<=2*n;++i){
		if(!mp[i])p[++pos]=i,mp[i]=i;
		for(int j=1;j<=pos&&i*p[j]<=2*n;++j){
			mp[i*p[j]]=p[j];
			if(i%p[j]==0)break;
		}
	}
	for(int i=1;i<=n;++i)cnt[i]=-1;
	for(int i=n+2;i<=2*n;++i)cnt[i]=1;
	for(int i=2*n;i>1;--i)
		if(mp[i]<i)cnt[mp[i]]+=cnt[i],cnt[i/mp[i]]+=cnt[i];
	int ans=1;
	for(int i=2;i<=2*n;++i)if(mp[i]==i)ans=ans*qpow(i,cnt[i])%mod;
	write(ans,'\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: 1160kb

input:

921 998054347

output:

345389219

result:

ok single line: '345389219'

Test #2:

score: 5
Accepted
time: 0ms
memory: 1156kb

input:

926 998064329

output:

458756691

result:

ok single line: '458756691'

Test #3:

score: 5
Accepted
time: 1ms
memory: 1156kb

input:

1000 998074327

output:

457273797

result:

ok single line: '457273797'

Test #4:

score: 5
Accepted
time: 0ms
memory: 1156kb

input:

952 998084303

output:

329700115

result:

ok single line: '329700115'

Test #5:

score: 5
Accepted
time: 0ms
memory: 1156kb

input:

989 998094347

output:

94788253

result:

ok single line: '94788253'

Test #6:

score: 5
Accepted
time: 1ms
memory: 1156kb

input:

902 998104313

output:

911969455

result:

ok single line: '911969455'

Test #7:

score: 5
Accepted
time: 1ms
memory: 1156kb

input:

914 998114333

output:

827812986

result:

ok single line: '827812986'

Test #8:

score: 5
Accepted
time: 1ms
memory: 1160kb

input:

986 998124313

output:

169699253

result:

ok single line: '169699253'

Test #9:

score: 5
Accepted
time: 1ms
memory: 1156kb

input:

947 998134339

output:

761932751

result:

ok single line: '761932751'

Test #10:

score: 5
Accepted
time: 1ms
memory: 1160kb

input:

934 998144339

output:

42889072

result:

ok single line: '42889072'

Test #11:

score: 5
Accepted
time: 81ms
memory: 33268kb

input:

991572 998154343

output:

277089318

result:

ok single line: '277089318'

Test #12:

score: 5
Accepted
time: 84ms
memory: 31368kb

input:

932800 998164337

output:

945072504

result:

ok single line: '945072504'

Test #13:

score: 5
Accepted
time: 77ms
memory: 30424kb

input:

903603 998174341

output:

29916736

result:

ok single line: '29916736'

Test #14:

score: 5
Accepted
time: 89ms
memory: 32208kb

input:

958646 998184331

output:

802903490

result:

ok single line: '802903490'

Test #15:

score: 5
Accepted
time: 93ms
memory: 32988kb

input:

983016 998194349

output:

802900579

result:

ok single line: '802900579'

Test #16:

score: 5
Accepted
time: 93ms
memory: 31032kb

input:

922347 998204353

output:

228575331

result:

ok single line: '228575331'

Test #17:

score: 5
Accepted
time: 95ms
memory: 32768kb

input:

976053 998214317

output:

982618317

result:

ok single line: '982618317'

Test #18:

score: 5
Accepted
time: 89ms
memory: 32164kb

input:

957300 998224351

output:

514549818

result:

ok single line: '514549818'

Test #19:

score: 5
Accepted
time: 93ms
memory: 31012kb

input:

921760 998234353

output:

470386410

result:

ok single line: '470386410'

Test #20:

score: 5
Accepted
time: 93ms
memory: 30732kb

input:

912948 998244353

output:

129235345

result:

ok single line: '129235345'