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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#73880 | #5031. 核 | wyzwyz | 100 ✓ | 1188ms | 315112kb | C++14 | 1.4kb | 2023-01-29 09:47:49 | 2023-01-29 09:47:51 |
Judging History
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;
}
Details
Tip: Click on the bar to expand more detailed information
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"