QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#480113#144. Primitive root / 原根Williamxzh#3 1ms4080kbC++23960b2024-07-16 07:59:422024-07-16 07:59:42

Judging History

你现在查看的是最新测评结果

  • [2024-07-16 07:59:42]
  • 评测
  • 测评结果:3
  • 用时:1ms
  • 内存:4080kb
  • [2024-07-16 07:59:42]
  • 提交

answer

#include <bits/stdc++.h>
#define il inline
#define B __int128
using namespace std;
typedef long long ll;
il B qp(ll a,ll b,ll mod){
	B ans=B(1),base=B(a);
	while(b){
		if(b&1) ans=(ans*base)%B(mod);
		base=(base*base)%B(mod),b>>=1;
	}return ans;
}
const int N=1e5+5;
ll n,m,p,a[N];int k,c,ck,num;
il int CK(ll x){
	for(int i=1;i<=num;++i) if(qp(x,m/a[i],n)==B(1)) return 0;
	return 1;
}
ll x,y,z,u,v,w;
int main(){
	scanf("%lld",&n);
	if(n<=2){printf("1");exit(0);}
	if(n<=4){printf("%lld",n-1);exit(0);}
	x=n;
	if(!(x&1)) x>>=1,c=2;else c=1;
	for(ll i=3;i*i<=x;++i){
		if(n%i) continue;
		p=i,k=0;
		while(x%i==0) x/=i,++k;
		ck=1;break;
	}
	if(ck && x>1){printf("-1");exit(0);}
	if(!ck) p=x,k=1;
	m=n/p*(p-1ll),x=p-1;
	for(ll i=2;i*i<=x;++i){
		if(x%i) continue;
		a[++num]=i;while(x%i==0) x/=i;
	}
	if(x>1) a[++num]=x;
	if(k>1) a[++num]=p;
	for(ll i=2;;++i){
		if(CK(i)){printf("%lld",i);exit(0);}
	}
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 1
Accepted

Test #1:

score: 1
Accepted
time: 0ms
memory: 4068kb

input:

433

output:

5

result:

ok good solution

Test #2:

score: 0
Accepted
time: 0ms
memory: 3848kb

input:

197

output:

2

result:

ok good solution

Test #3:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

733

output:

6

result:

ok good solution

Test #4:

score: 0
Accepted
time: 1ms
memory: 3732kb

input:

859

output:

2

result:

ok good solution

Test #5:

score: 0
Accepted
time: 0ms
memory: 4028kb

input:

449

output:

3

result:

ok good solution

Test #6:

score: 0
Accepted
time: 0ms
memory: 3868kb

input:

263

output:

5

result:

ok good solution

Test #7:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

683

output:

5

result:

ok good solution

Test #8:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

17

output:

3

result:

ok good solution

Test #9:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

359

output:

7

result:

ok good solution

Test #10:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

89

output:

3

result:

ok good solution

Test #11:

score: 0
Accepted
time: 1ms
memory: 3772kb

input:

647

output:

5

result:

ok good solution

Test #12:

score: 0
Accepted
time: 0ms
memory: 3764kb

input:

487

output:

3

result:

ok good solution

Test #13:

score: 0
Accepted
time: 0ms
memory: 3728kb

input:

677

output:

2

result:

ok good solution

Test #14:

score: 0
Accepted
time: 0ms
memory: 4056kb

input:

829

output:

2

result:

ok good solution

Test #15:

score: 0
Accepted
time: 0ms
memory: 3724kb

input:

227

output:

2

result:

ok good solution

Test #16:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

151

output:

6

result:

ok good solution

Test #17:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

607

output:

3

result:

ok good solution

Test #18:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

661

output:

2

result:

ok good solution

Test #19:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

151

output:

6

result:

ok good solution

Test #20:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

101

output:

2

result:

ok good solution

Test #21:

score: 0
Accepted
time: 0ms
memory: 4024kb

input:

5

output:

2

result:

ok good solution

Test #22:

score: 0
Accepted
time: 0ms
memory: 4028kb

input:

877

output:

2

result:

ok good solution

Test #23:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

139

output:

2

result:

ok good solution

Test #24:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

389

output:

2

result:

ok good solution

Test #25:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

421

output:

2

result:

ok good solution

Test #26:

score: 0
Accepted
time: 0ms
memory: 3728kb

input:

709

output:

2

result:

ok good solution

Test #27:

score: 0
Accepted
time: 0ms
memory: 4056kb

input:

331

output:

3

result:

ok good solution

Test #28:

score: 0
Accepted
time: 0ms
memory: 4056kb

input:

269

output:

2

result:

ok good solution

Test #29:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

797

output:

2

result:

ok good solution

Test #30:

score: 0
Accepted
time: 0ms
memory: 4060kb

input:

997

output:

7

result:

ok good solution

Subtask #2:

score: 0
Wrong Answer

Dependency #1:

100%
Accepted

Test #31:

score: 1
Accepted
time: 0ms
memory: 3712kb

input:

841

output:

2

result:

ok good solution

Test #32:

score: 0
Accepted
time: 0ms
memory: 4020kb

input:

289

output:

3

result:

ok good solution

Test #33:

score: 0
Accepted
time: 0ms
memory: 3728kb

input:

729

output:

2

result:

ok good solution

Test #34:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

169

output:

2

result:

ok good solution

Test #35:

score: 0
Accepted
time: 0ms
memory: 4064kb

input:

961

output:

3

result:

ok good solution

Test #36:

score: 0
Accepted
time: 0ms
memory: 4064kb

input:

31

output:

3

result:

ok good solution

Test #37:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

243

output:

2

result:

ok good solution

Test #38:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

625

output:

2

result:

ok good solution

Test #39:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

121

output:

2

result:

ok good solution

Test #40:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

125

output:

2

result:

ok good solution

Test #41:

score: -1
Wrong Answer
time: 0ms
memory: 4072kb

input:

512

output:

2

result:

wrong answer wrong solution

Subtask #3:

score: 0
Skipped

Dependency #2:

0%

Subtask #4:

score: 1
Accepted

Dependency #1:

100%
Accepted

Test #91:

score: 1
Accepted
time: 0ms
memory: 3736kb

input:

182233

output:

5

result:

ok good solution

Test #92:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

28771

output:

2

result:

ok good solution

Test #93:

score: 0
Accepted
time: 0ms
memory: 4064kb

input:

579239

output:

11

result:

ok good solution

Test #94:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

724747

output:

7

result:

ok good solution

Test #95:

score: 0
Accepted
time: 0ms
memory: 4056kb

input:

143513

output:

3

result:

ok good solution

Test #96:

score: 0
Accepted
time: 0ms
memory: 4068kb

input:

695509

output:

2

result:

ok good solution

Test #97:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

999217

output:

5

result:

ok good solution

Test #98:

score: 0
Accepted
time: 0ms
memory: 3848kb

input:

888161

output:

3

result:

ok good solution

Test #99:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

234287

output:

5

result:

ok good solution

Test #100:

score: 0
Accepted
time: 0ms
memory: 4072kb

input:

746483

output:

2

result:

ok good solution

Test #101:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

985003

output:

3

result:

ok good solution

Test #102:

score: 0
Accepted
time: 0ms
memory: 4056kb

input:

786959

output:

17

result:

ok good solution

Test #103:

score: 0
Accepted
time: 0ms
memory: 4072kb

input:

1097

output:

3

result:

ok good solution

Test #104:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

105527

output:

5

result:

ok good solution

Test #105:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

812519

output:

7

result:

ok good solution

Test #106:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

161599

output:

6

result:

ok good solution

Test #107:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

645131

output:

2

result:

ok good solution

Test #108:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

63397

output:

2

result:

ok good solution

Test #109:

score: 0
Accepted
time: 0ms
memory: 4064kb

input:

244429

output:

6

result:

ok good solution

Test #110:

score: 0
Accepted
time: 0ms
memory: 4068kb

input:

911453

output:

2

result:

ok good solution

Test #111:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

340477

output:

2

result:

ok good solution

Test #112:

score: 0
Accepted
time: 0ms
memory: 3848kb

input:

28351

output:

6

result:

ok good solution

Test #113:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

414277

output:

2

result:

ok good solution

Test #114:

score: 0
Accepted
time: 0ms
memory: 4052kb

input:

411923

output:

2

result:

ok good solution

Test #115:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

986281

output:

19

result:

ok good solution

Test #116:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

882047

output:

5

result:

ok good solution

Test #117:

score: 0
Accepted
time: 0ms
memory: 3856kb

input:

323009

output:

3

result:

ok good solution

Test #118:

score: 0
Accepted
time: 0ms
memory: 4056kb

input:

577153

output:

5

result:

ok good solution

Test #119:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

42281

output:

11

result:

ok good solution

Test #120:

score: 0
Accepted
time: 0ms
memory: 3868kb

input:

601823

output:

5

result:

ok good solution

Subtask #5:

score: 0
Skipped

Dependency #2:

0%

Subtask #6:

score: 0
Skipped

Dependency #3:

0%

Subtask #7:

score: 1
Accepted

Dependency #4:

100%
Accepted

Test #181:

score: 1
Accepted
time: 0ms
memory: 3736kb

input:

842797909

output:

2

result:

ok good solution

Test #182:

score: 0
Accepted
time: 1ms
memory: 3860kb

input:

662460749

output:

2

result:

ok good solution

Test #183:

score: 0
Accepted
time: 1ms
memory: 3796kb

input:

583578713

output:

3

result:

ok good solution

Test #184:

score: 0
Accepted
time: 1ms
memory: 3760kb

input:

714745777

output:

19

result:

ok good solution

Test #185:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

626528689

output:

7

result:

ok good solution

Test #186:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

848747719

output:

3

result:

ok good solution

Test #187:

score: 0
Accepted
time: 0ms
memory: 4028kb

input:

780868019

output:

2

result:

ok good solution

Test #188:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

295695817

output:

5

result:

ok good solution

Test #189:

score: 0
Accepted
time: 1ms
memory: 3800kb

input:

950964661

output:

6

result:

ok good solution

Test #190:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

219526067

output:

2

result:

ok good solution

Test #191:

score: 0
Accepted
time: 1ms
memory: 3736kb

input:

763440683

output:

2

result:

ok good solution

Test #192:

score: 0
Accepted
time: 1ms
memory: 4052kb

input:

744457559

output:

43

result:

ok good solution

Test #193:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

117979097

output:

3

result:

ok good solution

Test #194:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

910461493

output:

5

result:

ok good solution

Test #195:

score: 0
Accepted
time: 1ms
memory: 4056kb

input:

796412147

output:

2

result:

ok good solution

Test #196:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

221019493

output:

2

result:

ok good solution

Test #197:

score: 0
Accepted
time: 0ms
memory: 3776kb

input:

237830497

output:

10

result:

ok good solution

Test #198:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

209079863

output:

5

result:

ok good solution

Test #199:

score: 0
Accepted
time: 0ms
memory: 3772kb

input:

808345841

output:

3

result:

ok good solution

Test #200:

score: 0
Accepted
time: 0ms
memory: 4024kb

input:

100217503

output:

3

result:

ok good solution

Test #201:

score: 0
Accepted
time: 1ms
memory: 3728kb

input:

99546341

output:

2

result:

ok good solution

Test #202:

score: 0
Accepted
time: 1ms
memory: 3788kb

input:

811108069

output:

6

result:

ok good solution

Test #203:

score: 0
Accepted
time: 0ms
memory: 4068kb

input:

121875503

output:

5

result:

ok good solution

Test #204:

score: 0
Accepted
time: 0ms
memory: 4052kb

input:

932569537

output:

10

result:

ok good solution

Test #205:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

598983901

output:

6

result:

ok good solution

Test #206:

score: 0
Accepted
time: 0ms
memory: 4080kb

input:

54645551

output:

7

result:

ok good solution

Test #207:

score: 0
Accepted
time: 0ms
memory: 3796kb

input:

22252519

output:

3

result:

ok good solution

Test #208:

score: 0
Accepted
time: 1ms
memory: 4060kb

input:

666436031

output:

14

result:

ok good solution

Test #209:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

900871603

output:

2

result:

ok good solution

Test #210:

score: 0
Accepted
time: 1ms
memory: 3772kb

input:

561111223

output:

43

result:

ok good solution

Subtask #8:

score: 0
Skipped

Dependency #5:

0%

Subtask #9:

score: 0
Skipped

Dependency #6:

0%

Subtask #10:

score: 0
Skipped

Dependency #9:

0%