QOJ.ac
QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#423964 | #8339. Rooted Tree | ushg8877 | AC ✓ | 1119ms | 82164kb | C++14 | 712b | 2024-05-28 20:11:33 | 2024-05-28 20:11:33 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define MP make_pair
const int MOD=1e9+9;
const int MAXN=1e7+5;
ll ksm(ll a,int b){ll r=1;while(b){if(b&1)r=r*a%MOD;a=a*a%MOD,b>>=1;}return r;}
ll m,k,f[MAXN];
int main(){
ios::sync_with_stdio(false);
// freopen("Otomachi_Una.in","r",stdin);
// freopen("Otomachi_Una.out","w",stdout);
cin>>m>>k;
f[k]=1;
ll ans=k*(m-1)+1;
for(int i=k-1;i>=0;i--){
ll inv=ksm(i*(m-1)+1,MOD-2);
f[i]=i*(m-1)*inv%MOD*f[i+1]+
inv*(1+m*f[i+1]%MOD)%MOD;
f[i]%=MOD;
ans+=(1+m*f[i+1]%MOD);
}
ans%=MOD;ans-=m*k+1;
ans=(ans%MOD+MOD)%MOD;
cout<<ans<<'\n';
cerr<<"Running time: "<<1.*clock()/CLOCKS_PER_SEC<<'\n';
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3996kb
input:
6 2
output:
18
result:
ok 1 number(s): "18"
Test #2:
score: 0
Accepted
time: 1ms
memory: 4044kb
input:
2 6
output:
600000038
result:
ok 1 number(s): "600000038"
Test #3:
score: 0
Accepted
time: 66ms
memory: 8772kb
input:
83 613210
output:
424200026
result:
ok 1 number(s): "424200026"
Test #4:
score: 0
Accepted
time: 752ms
memory: 56432kb
input:
48 6713156
output:
198541581
result:
ok 1 number(s): "198541581"
Test #5:
score: 0
Accepted
time: 0ms
memory: 4000kb
input:
1 111
output:
6216
result:
ok 1 number(s): "6216"
Test #6:
score: 0
Accepted
time: 818ms
memory: 61068kb
input:
28 7304152
output:
457266679
result:
ok 1 number(s): "457266679"
Test #7:
score: 0
Accepted
time: 451ms
memory: 35908kb
input:
38 4101162
output:
232117382
result:
ok 1 number(s): "232117382"
Test #8:
score: 0
Accepted
time: 1119ms
memory: 81504kb
input:
51 9921154
output:
340670552
result:
ok 1 number(s): "340670552"
Test #9:
score: 0
Accepted
time: 198ms
memory: 18068kb
input:
79 1801157
output:
620550406
result:
ok 1 number(s): "620550406"
Test #10:
score: 0
Accepted
time: 614ms
memory: 46272kb
input:
22 5417157
output:
457449071
result:
ok 1 number(s): "457449071"
Test #11:
score: 0
Accepted
time: 353ms
memory: 28940kb
input:
25 3210162
output:
36368303
result:
ok 1 number(s): "36368303"
Test #12:
score: 0
Accepted
time: 325ms
memory: 26848kb
input:
67 2919160
output:
935195555
result:
ok 1 number(s): "935195555"
Test #13:
score: 0
Accepted
time: 972ms
memory: 71240kb
input:
77 8613163
output:
482832472
result:
ok 1 number(s): "482832472"
Test #14:
score: 0
Accepted
time: 1104ms
memory: 82136kb
input:
90 10000000
output:
275581651
result:
ok 1 number(s): "275581651"
Test #15:
score: 0
Accepted
time: 1115ms
memory: 82164kb
input:
99 9999999
output:
126087169
result:
ok 1 number(s): "126087169"
Test #16:
score: 0
Accepted
time: 1108ms
memory: 82124kb
input:
100 10000000
output:
451590067
result:
ok 1 number(s): "451590067"
Extra Test:
score: 0
Extra Test Passed