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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 |
---|---|---|---|---|---|---|---|---|---|
#62151 | #5031. 核 | Appleblue17 | 60 | 670ms | 64376kb | C++14 | 1.5kb | 2022-11-17 16:00:02 | 2022-11-17 16:00:02 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int N=1e7+5;
int n,q,mod,ans;
int ksm(int a,long long x,int p=mod){
int tot=1;
while(x){
if(x & 1ll) tot=1ll*tot*a%p;
a=1ll*a*a%p;
x>>=1ll;
}
return tot;
}
int pw[N],ipw[N],PW[N],mul[N],inv[N];
int pw_nk[N],ipw_knk[N],pw_nnkk[N];
void init(int lim){
int invq=ksm(q,mod-2);
pw[0]=ipw[0]=1;
for(int i=1;i<=lim;i++) pw[i]=1ll*pw[i-1]*q%mod;
for(int i=1;i<=lim;i++) ipw[i]=1ll*ipw[i-1]*invq%mod;
int pwn=ksm(q,n,mod-1);
pw_nk[0]=1;
for(int i=1;i<=lim;i++) pw_nk[i]=1ll*pw_nk[i-1]*pwn%(mod-1);
ipw_knk[0]=1;
for(int i=1;i<=lim;i++) ipw_knk[i]=1ll*ipw_knk[i-1]*ipw[n]%mod*pw[i-1]%mod*pw[i-1]%mod;
pw_nnkk[0]=ksm(q,1ll*n*(n-1)/2%(mod-1));
for(int i=1;i<=lim;i++) pw_nnkk[i]=1ll*pw_nnkk[i-1]*ipw[i-1]%mod;
for(int i=1;i<=lim;i++) PW[i]=(1+mod-pw[i])%mod;
mul[0]=inv[0]=1;
for(int i=1;i<=lim;i++) mul[i]=1ll*mul[i-1]*PW[i]%mod;
inv[lim]=ksm(mul[lim],mod-2);
for(int i=lim-1;i>=1;i--) inv[i]=1ll*inv[i+1]*PW[i+1]%mod;
}
int C(int m,int n){
if(m<0 || n<0 || m<n) return 0;
return 1ll*mul[m]*inv[n]%mod*inv[m-n]%mod;
}
int ID(int x){
return (x & 1ll)?mod-1:1;
}
int f[N],g[N];
int main(){
cin>>n>>q>>mod;
init(n);
g[0]=1;
for(int k=1;k<=n;k++){
g[k]=(1ll*g[k-1]*(1+mod-ipw[n-k+1])%mod+1ll*ipw_knk[k]*inv[k]%mod)%mod;
}
for(int k=0;k<=n;k++){
f[k]=1ll*g[n-k]*ID(n-k)%mod*mul[n-k]%mod*C(n,k)%mod*pw_nnkk[k]%mod;
}
for(int i=0;i<=n;i++) ans=(ans+1ll*f[i]*ksm(3,pw_nk[i])%mod)%mod;
cout<<ans;
}
详细
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 0ms
memory: 21656kb
input:
1 2 540053233
output:
9
result:
ok 1 number(s): "9"
Test #2:
score: 0
Accepted
time: 6ms
memory: 21800kb
input:
2 2 156542707
output:
43046970
result:
ok 1 number(s): "43046970"
Test #3:
score: 0
Accepted
time: 2ms
memory: 21672kb
input:
1 2 186225229
output:
9
result:
ok 1 number(s): "9"
Test #4:
score: 0
Accepted
time: 2ms
memory: 21672kb
input:
3 3 109884329
output:
100602209
result:
ok 1 number(s): "100602209"
Test #5:
score: 0
Accepted
time: 2ms
memory: 21900kb
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: 0ms
memory: 21644kb
input:
20 21992843 328859143
output:
110137213
result:
ok 1 number(s): "110137213"
Test #7:
score: 0
Accepted
time: 1ms
memory: 21820kb
input:
22 332524739 654888401
output:
410922781
result:
ok 1 number(s): "410922781"
Test #8:
score: 0
Accepted
time: 2ms
memory: 21668kb
input:
26 302215049 566649113
output:
221720840
result:
ok 1 number(s): "221720840"
Test #9:
score: 0
Accepted
time: 2ms
memory: 21824kb
input:
15 111009527 722130737
output:
648834664
result:
ok 1 number(s): "648834664"
Test #10:
score: 0
Accepted
time: 2ms
memory: 21828kb
input:
82 110032063 394529383
output:
111730592
result:
ok 1 number(s): "111730592"
Test #11:
score: 0
Accepted
time: 2ms
memory: 21644kb
input:
9 11172911 259650437
output:
68381774
result:
ok 1 number(s): "68381774"
Test #12:
score: 0
Accepted
time: 0ms
memory: 21672kb
input:
86 12016027 354886243
output:
263687778
result:
ok 1 number(s): "263687778"
Test #13:
score: 0
Accepted
time: 3ms
memory: 21732kb
input:
91 273689959 454097881
output:
114436127
result:
ok 1 number(s): "114436127"
Test #14:
score: 0
Accepted
time: 2ms
memory: 21744kb
input:
73 148878967 694206977
output:
176215101
result:
ok 1 number(s): "176215101"
Test #15:
score: 0
Accepted
time: 2ms
memory: 21792kb
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: 4ms
memory: 21756kb
input:
2778 122825869 147297463
output:
43419574
result:
ok 1 number(s): "43419574"
Test #17:
score: 0
Accepted
time: 2ms
memory: 21812kb
input:
289 7729669 589652893
output:
552952137
result:
ok 1 number(s): "552952137"
Test #18:
score: 0
Accepted
time: 2ms
memory: 21904kb
input:
2281 35651417 203950963
output:
21659018
result:
ok 1 number(s): "21659018"
Test #19:
score: 0
Accepted
time: 2ms
memory: 21816kb
input:
1684 258745639 373223677
output:
355596229
result:
ok 1 number(s): "355596229"
Test #20:
score: 0
Accepted
time: 2ms
memory: 21668kb
input:
2107 86850989 455823859
output:
245960059
result:
ok 1 number(s): "245960059"
Test #21:
score: 0
Accepted
time: 2ms
memory: 21676kb
input:
1323 43290799 791120419
output:
509649562
result:
ok 1 number(s): "509649562"
Test #22:
score: 0
Accepted
time: 2ms
memory: 21664kb
input:
2401 34064903 185314627
output:
70571452
result:
ok 1 number(s): "70571452"
Test #23:
score: 0
Accepted
time: 2ms
memory: 21816kb
input:
1073 82288187 564447959
output:
168200843
result:
ok 1 number(s): "168200843"
Test #24:
score: 0
Accepted
time: 8ms
memory: 21744kb
input:
1926 29995039 129122281
output:
60921463
result:
ok 1 number(s): "60921463"
Test #25:
score: 0
Accepted
time: 2ms
memory: 21824kb
input:
3000 66915659 765705179
output:
222619979
result:
ok 1 number(s): "222619979"
Subtask #4:
score: 20
Accepted
Test #26:
score: 20
Accepted
time: 670ms
memory: 59104kb
input:
998818 198334853 998244353
output:
153251445
result:
ok 1 number(s): "153251445"
Test #27:
score: 0
Accepted
time: 626ms
memory: 60272kb
input:
914379 128814383 998244353
output:
477606145
result:
ok 1 number(s): "477606145"
Test #28:
score: 0
Accepted
time: 624ms
memory: 57232kb
input:
944474 478445339 998244353
output:
174204073
result:
ok 1 number(s): "174204073"
Test #29:
score: 0
Accepted
time: 650ms
memory: 64340kb
input:
948637 711592127 998244353
output:
178256114
result:
ok 1 number(s): "178256114"
Test #30:
score: 0
Accepted
time: 614ms
memory: 59816kb
input:
927564 14465663 998244353
output:
315244613
result:
ok 1 number(s): "315244613"
Test #31:
score: 0
Accepted
time: 623ms
memory: 57476kb
input:
934615 392799073 998244353
output:
892700270
result:
ok 1 number(s): "892700270"
Test #32:
score: 0
Accepted
time: 601ms
memory: 57560kb
input:
917196 124972031 998244353
output:
782017412
result:
ok 1 number(s): "782017412"
Test #33:
score: 0
Accepted
time: 647ms
memory: 57580kb
input:
957149 392606173 998244353
output:
159348443
result:
ok 1 number(s): "159348443"
Test #34:
score: 0
Accepted
time: 670ms
memory: 64376kb
input:
997042 184649453 998244353
output:
464643024
result:
ok 1 number(s): "464643024"
Test #35:
score: 0
Accepted
time: 639ms
memory: 59780kb
input:
953353 14071961 998244353
output:
391688875
result:
ok 1 number(s): "391688875"
Subtask #5:
score: 0
Time Limit Exceeded
Test #36:
score: 0
Time Limit Exceeded
input:
9909956 720431399 720431401
output:
result:
Subtask #6:
score: 0
Skipped
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Dependency #4:
100%
Accepted
Dependency #5:
0%