QOJ.ac
QOJ
| ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
|---|---|---|---|---|---|---|---|---|---|
| #462643 | #8339. Rooted Tree | zttttt | AC ✓ | 1471ms | 159912kb | C++14 | 1.9kb | 2024-07-03 22:51:58 | 2024-07-03 22:51:58 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define int long long
const int N=5e7+10,M=1e9+9;
int ny[N],dp[N],zt[N],maxx,f[N];
int ksm(int a,int b,int c){
// int b1=b;
zt[1]=a%c;
int cnt=1;
int ans=1;
while(b){
if(b&1){
//cnt++;
ans*=zt[cnt];
ans%=c;
}
cnt++;
zt[cnt]=zt[cnt-1]*zt[cnt-1]%c;
b>>=1;
}
// cnt=0;
// while(b){
// cnt++;
// if(b&1){
// //cnt++;
// ans*=zt[cnt];
// ans%=c;
// }
// b>>=1;
// }
return ans;
}
signed main(){
int m,k;
cin>>m>>k;
f[0]=1;
for(int i=1;i<=k;i++){
f[i]=f[i-1]-1+m;
}
//for(int i=1;i<=k;i++)cout<<f[i]<<endl;
// if(f[k]>10000000)maxx=10000000;
// else maxx=f[k];
dp[0]=0;
// ny[1]=1;
// for(int i=m;i<=f[k];i+=m-1){
// cout<<i<<" "<<M%i<<" "<<ny[M%i]<<endl;
// ny[i]=(M-M/i)*ny[M%i]%M;
// }
//int ans1=0;
for(int i=1;i<=k;i++){
// if(f[i]<=1e7){
//cout<<M%f[i]<<endl;
//if(f[i]<=50000000){
// if(M%f[i]<=50000000&&ny[M%f[i]]){
// ny[f[i]]=(M-M/f[i])*ny[M%f[i]]%M;
// }else{
// ny[f[i]]=ksm(f[i],M-2,M);
// }
// dp[i]=((dp[i-1]*f[i-1])%M*ny[f[i]]%M-(dp[i-1]*ny[f[i]]%M)+M)%M+m*dp[i-1]%M*ny[f[i]]%M+m*ny[f[i]]%M;
// dp[i]%=M;
//}else{
// int zqx;
// if(M%f[i]<=50000000&&ny[M%f[i]]){
// zqx=(M-M/f[i])*ny[M%f[i]]%M;
// }else{
// zqx=ksm(f[i],M-2,M);
// }
int zqx=ksm(f[i],M-2,M);
//dp[i]=((dp[i-1]*f[i-1])%M*zqx%M-(dp[i-1]*zqx%M)+M)%M+m*dp[i-1]%M*zqx%M+m*zqx%M;
dp[i]=(dp[i-1]*(f[i-1]-1+m)%M+m)*zqx;
dp[i]%=M;
//}
// ans1+=dp[i]%M;
// ans1%=M;
//cout<<i<<" "<<dp[i]<<endl;
// }else{
// int zqx=ksm(f[i],M-2,M);
// dp[i]=((dp[i-1]*f[i-1])%M*zqx%M-(dp[i-1]*zqx%M)+M)%M+m*dp[i-1]%M*zqx%M+m*zqx%M;
// dp[i]%=M;
// }
}
//for(int i=1;i<=k;i++)cout<<dp[i]<<endl;
int ans1=dp[k]*f[k]%M;
for(int i=1;i<k;i++){
ans1=ans1+dp[i]%M;
ans1%=M;
}
cout<<ans1<<endl;
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3532kb
input:
6 2
output:
18
result:
ok 1 number(s): "18"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
2 6
output:
600000038
result:
ok 1 number(s): "600000038"
Test #3:
score: 0
Accepted
time: 78ms
memory: 13140kb
input:
83 613210
output:
424200026
result:
ok 1 number(s): "424200026"
Test #4:
score: 0
Accepted
time: 974ms
memory: 108412kb
input:
48 6713156
output:
198541581
result:
ok 1 number(s): "198541581"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3564kb
input:
1 111
output:
6216
result:
ok 1 number(s): "6216"
Test #6:
score: 0
Accepted
time: 1070ms
memory: 117704kb
input:
28 7304152
output:
457266679
result:
ok 1 number(s): "457266679"
Test #7:
score: 0
Accepted
time: 605ms
memory: 67744kb
input:
38 4101162
output:
232117382
result:
ok 1 number(s): "232117382"
Test #8:
score: 0
Accepted
time: 1449ms
memory: 158664kb
input:
51 9921154
output:
340670552
result:
ok 1 number(s): "340670552"
Test #9:
score: 0
Accepted
time: 272ms
memory: 31800kb
input:
79 1801157
output:
620550406
result:
ok 1 number(s): "620550406"
Test #10:
score: 0
Accepted
time: 799ms
memory: 88188kb
input:
22 5417157
output:
457449071
result:
ok 1 number(s): "457449071"
Test #11:
score: 0
Accepted
time: 470ms
memory: 53688kb
input:
25 3210162
output:
36368303
result:
ok 1 number(s): "36368303"
Test #12:
score: 0
Accepted
time: 429ms
memory: 49216kb
input:
67 2919160
output:
935195555
result:
ok 1 number(s): "935195555"
Test #13:
score: 0
Accepted
time: 1256ms
memory: 138084kb
input:
77 8613163
output:
482832472
result:
ok 1 number(s): "482832472"
Test #14:
score: 0
Accepted
time: 1457ms
memory: 159728kb
input:
90 10000000
output:
275581651
result:
ok 1 number(s): "275581651"
Test #15:
score: 0
Accepted
time: 1464ms
memory: 159892kb
input:
99 9999999
output:
126087169
result:
ok 1 number(s): "126087169"
Test #16:
score: 0
Accepted
time: 1471ms
memory: 159912kb
input:
100 10000000
output:
451590067
result:
ok 1 number(s): "451590067"
Extra Test:
score: 0
Extra Test Passed