QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#65783 | #4843. Infectious Disease | Kaibad | AC ✓ | 1405ms | 222364kb | C++20 | 1.2kb | 2022-12-03 16:53:39 | 2022-12-03 16:53:43 |
Judging History
answer
#include<stdio.h>
#define int long long
int n,p[14000010],dp[16][16385];
int ny[14000010];
const int mod=1e9+7;
int max(int a,int b){
if(a>b) return a;
return b;
}
int qpow(int a,int b){
int ans=1;
while(b){
if(b&1) ans=ans*a%mod;
a=a*a%mod;
b>>=1;
}
return ans;
}
int inv(int x){
return qpow(x,mod-2);
}
int c(int n,int m){
if(m>n) return 0;
return (p[n]*ny[m]%mod)*ny[n-m]%mod;
}
void solve(){
scanf("%lld",&n);
dp[0][1]=1;
p[0]=1;
for(int i=1;i<=n+5;i++) p[i]=p[i-1]*i%mod;
ny[n+5]=qpow(p[n+5],mod-2);
for(int i=n+5-1;i>=0;i--){
ny[i]=(ny[i+1]*(i+1))%mod;
}
for(int i=1;i<=15;i++){
int sheng=n-qpow(3,i-1),xuan=qpow(3,i)-qpow(3,i-1);
if(sheng<=xuan){
for(int j=1;j<=(1<<(i-1));j++){
dp[i][0]=(dp[i][0]+dp[i-1][j])%mod;
}
break;
}
int all=inv(c(sheng,xuan));
for(int j=0;j<=(1<<i);j++){
for(int k=max(1ll,(j+1)>>1);k<=(1<<(i-1));k++){
int gan=2*k-j;
dp[i][j]=(dp[i][j]+dp[i-1][k]*c(2*k,gan)%mod*c(sheng-2*k,xuan-gan)%mod*all)%mod;
}
}
}
int ans=0;
for(int i=1;i<=15;i++) ans=(ans+dp[i][0]*i)%mod;
printf("%lld",ans);
}
signed main(){
int T=1;/*
cin>>T;//*/
while(T--) solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 3ms
memory: 5656kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 3ms
memory: 5628kb
input:
114
output:
505208013
result:
ok 1 number(s): "505208013"
Test #3:
score: 0
Accepted
time: 1405ms
memory: 222364kb
input:
14000000
output:
44565093
result:
ok 1 number(s): "44565093"
Test #4:
score: 0
Accepted
time: 1345ms
memory: 198552kb
input:
12345678
output:
123143093
result:
ok 1 number(s): "123143093"
Test #5:
score: 0
Accepted
time: 87ms
memory: 19636kb
input:
776777
output:
764022068
result:
ok 1 number(s): "764022068"
Test #6:
score: 0
Accepted
time: 1ms
memory: 5624kb
input:
3
output:
1
result:
ok 1 number(s): "1"
Test #7:
score: 0
Accepted
time: 1ms
memory: 5608kb
input:
4
output:
666666673
result:
ok 1 number(s): "666666673"
Test #8:
score: 0
Accepted
time: 0ms
memory: 5644kb
input:
5
output:
833333341
result:
ok 1 number(s): "833333341"
Test #9:
score: 0
Accepted
time: 0ms
memory: 5628kb
input:
6
output:
300000004
result:
ok 1 number(s): "300000004"
Test #10:
score: 0
Accepted
time: 1ms
memory: 5612kb
input:
7
output:
533333339
result:
ok 1 number(s): "533333339"
Test #11:
score: 0
Accepted
time: 3ms
memory: 5668kb
input:
8
output:
952380961
result:
ok 1 number(s): "952380961"
Test #12:
score: 0
Accepted
time: 3ms
memory: 5652kb
input:
9
output:
964285723
result:
ok 1 number(s): "964285723"
Test #13:
score: 0
Accepted
time: 3ms
memory: 5624kb
input:
10
output:
416666672
result:
ok 1 number(s): "416666672"
Test #14:
score: 0
Accepted
time: 2ms
memory: 5616kb
input:
26
output:
990086590
result:
ok 1 number(s): "990086590"
Test #15:
score: 0
Accepted
time: 1ms
memory: 5548kb
input:
27
output:
528360342
result:
ok 1 number(s): "528360342"
Test #16:
score: 0
Accepted
time: 0ms
memory: 5628kb
input:
28
output:
273239648
result:
ok 1 number(s): "273239648"
Test #17:
score: 0
Accepted
time: 347ms
memory: 79996kb
input:
4782967
output:
332194401
result:
ok 1 number(s): "332194401"
Test #18:
score: 0
Accepted
time: 354ms
memory: 82572kb
input:
4782968
output:
362625027
result:
ok 1 number(s): "362625027"
Test #19:
score: 0
Accepted
time: 337ms
memory: 80064kb
input:
4782969
output:
971032452
result:
ok 1 number(s): "971032452"
Test #20:
score: 0
Accepted
time: 845ms
memory: 81216kb
input:
4782970
output:
452836984
result:
ok 1 number(s): "452836984"
Test #21:
score: 0
Accepted
time: 772ms
memory: 81032kb
input:
4782971
output:
349324970
result:
ok 1 number(s): "349324970"
Test #22:
score: 0
Accepted
time: 773ms
memory: 80772kb
input:
4782972
output:
46862963
result:
ok 1 number(s): "46862963"
Test #23:
score: 0
Accepted
time: 10ms
memory: 8608kb
input:
114514
output:
972669965
result:
ok 1 number(s): "972669965"
Test #24:
score: 0
Accepted
time: 302ms
memory: 37336kb
input:
1919810
output:
482430785
result:
ok 1 number(s): "482430785"
Test #25:
score: 0
Accepted
time: 1308ms
memory: 146236kb
input:
8877877
output:
486769120
result:
ok 1 number(s): "486769120"