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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
#73880#5031. 核wyzwyz100 ✓1188ms315112kbC++141.4kb2023-01-29 09:47:492023-01-29 09:47:51

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-01-29 09:47:51]
  • 评测
  • 测评结果:100
  • 用时:1188ms
  • 内存:315112kb
  • [2023-01-29 09:47:49]
  • 提交

answer

#include<cstdio>
#include<cctype>

#define maxn 10011001

template<class T>

inline T read(){
	T r=0,f=0;
	char c;
	while(!isdigit(c=getchar()))f|=(c=='-');
	while(isdigit(c))r=(r*10)+(c^48),c=getchar();
	return f?-r:r;
}

int mod;

inline long long qpow(long long a,int b){
	long long ans=1;
	for(;b;b>>=1){
		if(b&1)(ans*=a)%=mod;
		(a*=a)%=mod;
	}
	return ans;
}

int n,q;

long long pw1[(1<<16)|1],pw2[(1<<16)|1];

long long f[maxn],pw[maxn],fracq[maxn],invfq[maxn];

inline void init(int n){
	pw[0]=1,fracq[0]=1;
	for(int i=1;i<=n;i++){
		pw[i]=pw[i-1]*q%mod;
		fracq[i]=fracq[i-1]*(1+mod-pw[i])%mod;
	}
	invfq[n]=qpow(fracq[n],mod-2);
	for(int i=n;i;i--)
		invfq[i-1]=invfq[i]*(1+mod-pw[i])%mod;
	pw1[0]=pw2[0]=1;
	for(int i=1;i<=(1<<16);i++)
		pw1[i]=pw1[i-1]*3%mod;
	for(int i=1;i<=(1<<16);i++)
		pw2[i]=pw2[i-1]*pw1[1<<16]%mod;
}

inline long long gpow(int x){
	return pw2[x>>16]*pw1[x&65535]%mod;
}

int main(){
	n=read<int>();
	q=read<int>();
	mod=read<int>();
	init(n),f[0]=1;
	long long P=1,Pw=1,invq=qpow(q,mod-2);
	for(int i=1;i<=n;i++){
		(P*=mod-pw[i-1])%=mod,(Pw*=invq)%=mod;
		f[i]=Pw*(((pw[i-1]+mod-pw[n])*f[i-1]+P*invfq[i])%mod)%mod;
	}
    P=1;
	for(int i=1;i<=n;i++)
		(P*=q)%=mod-1;
	long long ans=0,mul=1;
	for(int i=0;i<=n;i++)
		(ans+=f[n-i]*invfq[i]%mod*gpow(mul))%=mod,(mul*=P)%=(mod-1);
	printf("%lld\n",ans*fracq[n]%mod);
	return 0;
}

详细

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 5ms
memory: 10184kb

input:

1 2 540053233

output:

9

result:

ok 1 number(s): "9"

Test #2:

score: 0
Accepted
time: 4ms
memory: 10172kb

input:

2 2 156542707

output:

43046970

result:

ok 1 number(s): "43046970"

Test #3:

score: 0
Accepted
time: 2ms
memory: 8644kb

input:

1 2 186225229

output:

9

result:

ok 1 number(s): "9"

Test #4:

score: 0
Accepted
time: 0ms
memory: 8620kb

input:

3 3 109884329

output:

100602209

result:

ok 1 number(s): "100602209"

Test #5:

score: 0
Accepted
time: 1ms
memory: 10400kb

input:

1 2 144802297

output:

9

result:

ok 1 number(s): "9"

Subtask #2:

score: 20
Accepted

Dependency #1:

100%
Accepted

Test #6:

score: 20
Accepted
time: 4ms
memory: 8604kb

input:

20 21992843 328859143

output:

110137213

result:

ok 1 number(s): "110137213"

Test #7:

score: 0
Accepted
time: 2ms
memory: 8572kb

input:

22 332524739 654888401

output:

410922781

result:

ok 1 number(s): "410922781"

Test #8:

score: 0
Accepted
time: 2ms
memory: 8628kb

input:

26 302215049 566649113

output:

221720840

result:

ok 1 number(s): "221720840"

Test #9:

score: 0
Accepted
time: 5ms
memory: 10220kb

input:

15 111009527 722130737

output:

648834664

result:

ok 1 number(s): "648834664"

Test #10:

score: 0
Accepted
time: 5ms
memory: 10112kb

input:

82 110032063 394529383

output:

111730592

result:

ok 1 number(s): "111730592"

Test #11:

score: 0
Accepted
time: 1ms
memory: 10516kb

input:

9 11172911 259650437

output:

68381774

result:

ok 1 number(s): "68381774"

Test #12:

score: 0
Accepted
time: 4ms
memory: 8600kb

input:

86 12016027 354886243

output:

263687778

result:

ok 1 number(s): "263687778"

Test #13:

score: 0
Accepted
time: 4ms
memory: 8608kb

input:

91 273689959 454097881

output:

114436127

result:

ok 1 number(s): "114436127"

Test #14:

score: 0
Accepted
time: 0ms
memory: 10508kb

input:

73 148878967 694206977

output:

176215101

result:

ok 1 number(s): "176215101"

Test #15:

score: 0
Accepted
time: 0ms
memory: 10540kb

input:

45 205982233 227598247

output:

156769598

result:

ok 1 number(s): "156769598"

Subtask #3:

score: 10
Accepted

Dependency #2:

100%
Accepted

Test #16:

score: 10
Accepted
time: 5ms
memory: 8652kb

input:

2778 122825869 147297463

output:

43419574

result:

ok 1 number(s): "43419574"

Test #17:

score: 0
Accepted
time: 4ms
memory: 8572kb

input:

289 7729669 589652893

output:

552952137

result:

ok 1 number(s): "552952137"

Test #18:

score: 0
Accepted
time: 1ms
memory: 8648kb

input:

2281 35651417 203950963

output:

21659018

result:

ok 1 number(s): "21659018"

Test #19:

score: 0
Accepted
time: 5ms
memory: 9860kb

input:

1684 258745639 373223677

output:

355596229

result:

ok 1 number(s): "355596229"

Test #20:

score: 0
Accepted
time: 4ms
memory: 9992kb

input:

2107 86850989 455823859

output:

245960059

result:

ok 1 number(s): "245960059"

Test #21:

score: 0
Accepted
time: 2ms
memory: 10520kb

input:

1323 43290799 791120419

output:

509649562

result:

ok 1 number(s): "509649562"

Test #22:

score: 0
Accepted
time: 1ms
memory: 10124kb

input:

2401 34064903 185314627

output:

70571452

result:

ok 1 number(s): "70571452"

Test #23:

score: 0
Accepted
time: 5ms
memory: 11916kb

input:

1073 82288187 564447959

output:

168200843

result:

ok 1 number(s): "168200843"

Test #24:

score: 0
Accepted
time: 5ms
memory: 9996kb

input:

1926 29995039 129122281

output:

60921463

result:

ok 1 number(s): "60921463"

Test #25:

score: 0
Accepted
time: 5ms
memory: 10396kb

input:

3000 66915659 765705179

output:

222619979

result:

ok 1 number(s): "222619979"

Subtask #4:

score: 20
Accepted

Test #26:

score: 20
Accepted
time: 127ms
memory: 42884kb

input:

998818 198334853 998244353

output:

153251445

result:

ok 1 number(s): "153251445"

Test #27:

score: 0
Accepted
time: 106ms
memory: 40960kb

input:

914379 128814383 998244353

output:

477606145

result:

ok 1 number(s): "477606145"

Test #28:

score: 0
Accepted
time: 114ms
memory: 40340kb

input:

944474 478445339 998244353

output:

174204073

result:

ok 1 number(s): "174204073"

Test #29:

score: 0
Accepted
time: 105ms
memory: 38004kb

input:

948637 711592127 998244353

output:

178256114

result:

ok 1 number(s): "178256114"

Test #30:

score: 0
Accepted
time: 109ms
memory: 40696kb

input:

927564 14465663 998244353

output:

315244613

result:

ok 1 number(s): "315244613"

Test #31:

score: 0
Accepted
time: 101ms
memory: 38824kb

input:

934615 392799073 998244353

output:

892700270

result:

ok 1 number(s): "892700270"

Test #32:

score: 0
Accepted
time: 99ms
memory: 40568kb

input:

917196 124972031 998244353

output:

782017412

result:

ok 1 number(s): "782017412"

Test #33:

score: 0
Accepted
time: 118ms
memory: 38832kb

input:

957149 392606173 998244353

output:

159348443

result:

ok 1 number(s): "159348443"

Test #34:

score: 0
Accepted
time: 114ms
memory: 40884kb

input:

997042 184649453 998244353

output:

464643024

result:

ok 1 number(s): "464643024"

Test #35:

score: 0
Accepted
time: 105ms
memory: 40204kb

input:

953353 14071961 998244353

output:

391688875

result:

ok 1 number(s): "391688875"

Subtask #5:

score: 10
Accepted

Test #36:

score: 10
Accepted
time: 1160ms
memory: 313748kb

input:

9909956 720431399 720431401

output:

86883659

result:

ok 1 number(s): "86883659"

Test #37:

score: 0
Accepted
time: 1123ms
memory: 313880kb

input:

9924163 267052829 267052831

output:

75754681

result:

ok 1 number(s): "75754681"

Test #38:

score: 0
Accepted
time: 1178ms
memory: 314672kb

input:

9967885 197873129 197873131

output:

16653739

result:

ok 1 number(s): "16653739"

Test #39:

score: 0
Accepted
time: 1106ms
memory: 314360kb

input:

9952642 101872151 101872153

output:

0

result:

ok 1 number(s): "0"

Test #40:

score: 0
Accepted
time: 1121ms
memory: 314452kb

input:

9955909 167874431 167874433

output:

130012020

result:

ok 1 number(s): "130012020"

Test #41:

score: 0
Accepted
time: 1119ms
memory: 315084kb

input:

9994785 399509567 399509569

output:

153324498

result:

ok 1 number(s): "153324498"

Test #42:

score: 0
Accepted
time: 1134ms
memory: 314364kb

input:

9954011 108819131 108819133

output:

101671540

result:

ok 1 number(s): "101671540"

Test #43:

score: 0
Accepted
time: 1136ms
memory: 315112kb

input:

9997570 213315827 213315829

output:

57441081

result:

ok 1 number(s): "57441081"

Test #44:

score: 0
Accepted
time: 1177ms
memory: 315064kb

input:

9995867 113028299 113028301

output:

67837072

result:

ok 1 number(s): "67837072"

Test #45:

score: 0
Accepted
time: 1178ms
memory: 313044kb

input:

9909335 247275617 247275619

output:

202966817

result:

ok 1 number(s): "202966817"

Subtask #6:

score: 30
Accepted

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Dependency #4:

100%
Accepted

Dependency #5:

100%
Accepted

Test #46:

score: 30
Accepted
time: 1148ms
memory: 313884kb

input:

9921815 38466881 725310841

output:

601117286

result:

ok 1 number(s): "601117286"

Test #47:

score: 0
Accepted
time: 1112ms
memory: 313692kb

input:

9919464 4830599 747345523

output:

168521454

result:

ok 1 number(s): "168521454"

Test #48:

score: 0
Accepted
time: 1174ms
memory: 315080kb

input:

9981374 3616373 154722097

output:

2696288

result:

ok 1 number(s): "2696288"

Test #49:

score: 0
Accepted
time: 1161ms
memory: 312856kb

input:

9906664 12433457 558159149

output:

538699014

result:

ok 1 number(s): "538699014"

Test #50:

score: 0
Accepted
time: 1166ms
memory: 314904kb

input:

9985736 46853 410275823

output:

258567756

result:

ok 1 number(s): "258567756"

Test #51:

score: 0
Accepted
time: 1143ms
memory: 314588kb

input:

9962926 33790087 203505083

output:

40932778

result:

ok 1 number(s): "40932778"

Test #52:

score: 0
Accepted
time: 1132ms
memory: 313708kb

input:

9903735 146658401 157137433

output:

154493145

result:

ok 1 number(s): "154493145"

Test #53:

score: 0
Accepted
time: 1144ms
memory: 313380kb

input:

9913516 105010771 110717611

output:

67979325

result:

ok 1 number(s): "67979325"

Test #54:

score: 0
Accepted
time: 1146ms
memory: 314404kb

input:

9953517 268142489 675913921

output:

523115756

result:

ok 1 number(s): "523115756"

Test #55:

score: 0
Accepted
time: 1143ms
memory: 314876kb

input:

9981005 11993207 114120883

output:

7261617

result:

ok 1 number(s): "7261617"

Test #56:

score: 0
Accepted
time: 1167ms
memory: 313824kb

input:

9945956 36522077 168104303

output:

82398556

result:

ok 1 number(s): "82398556"

Test #57:

score: 0
Accepted
time: 1152ms
memory: 314628kb

input:

9967933 15301477 352827883

output:

242773007

result:

ok 1 number(s): "242773007"

Test #58:

score: 0
Accepted
time: 1151ms
memory: 313524kb

input:

9911781 83845891 360130933

output:

158254305

result:

ok 1 number(s): "158254305"

Test #59:

score: 0
Accepted
time: 1188ms
memory: 313176kb

input:

9916390 100404191 108138473

output:

103346432

result:

ok 1 number(s): "103346432"

Test #60:

score: 0
Accepted
time: 1135ms
memory: 314596kb

input:

9974438 7828049 430399297

output:

76675277

result:

ok 1 number(s): "76675277"