QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#418488 | #8339. Rooted Tree | TMM233# | AC ✓ | 1151ms | 3720kb | C++20 | 802b | 2024-05-23 14:13:37 | 2024-05-23 14:13:38 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define mod 1000000009
#define IOS ios::sync_with_stdio(0),cin.tie(0)
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> p;
const int N=1e7+10;
ll ans[2],leaf[2];
ll ksm(ll x,ll y)
{
ll ans=1;
for(;y;)
{
if(y&1) ans=ans*x%mod;
x=x*x%mod;
y>>=1;
}
return ans;
}
ll get_inv(ll x) {return ksm(x,mod-2);}
int main()
{
IOS;
ll m,k;
cin>>m>>k;
ans[0]=0;
leaf[0]=0;
ll res=0;
for(int i=1,ii=1;i<=k;i++,ii^=1)
{
ans[ii]=(ans[ii^1]+(leaf[ii^1]+1)*m%mod)%mod;
leaf[ii]=(leaf[ii^1]*(1-1+(i-1)*(m-1)%mod)%mod+(leaf[ii^1]+1)*m%mod)*get_inv(1+i*(m-1)%mod)%mod;
if(i==k)
res=ans[ii];
}
cout<<res<<'\n';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3648kb
input:
6 2
output:
18
result:
ok 1 number(s): "18"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
2 6
output:
600000038
result:
ok 1 number(s): "600000038"
Test #3:
score: 0
Accepted
time: 71ms
memory: 3580kb
input:
83 613210
output:
424200026
result:
ok 1 number(s): "424200026"
Test #4:
score: 0
Accepted
time: 769ms
memory: 3632kb
input:
48 6713156
output:
198541581
result:
ok 1 number(s): "198541581"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
1 111
output:
6216
result:
ok 1 number(s): "6216"
Test #6:
score: 0
Accepted
time: 837ms
memory: 3644kb
input:
28 7304152
output:
457266679
result:
ok 1 number(s): "457266679"
Test #7:
score: 0
Accepted
time: 472ms
memory: 3584kb
input:
38 4101162
output:
232117382
result:
ok 1 number(s): "232117382"
Test #8:
score: 0
Accepted
time: 1142ms
memory: 3656kb
input:
51 9921154
output:
340670552
result:
ok 1 number(s): "340670552"
Test #9:
score: 0
Accepted
time: 208ms
memory: 3716kb
input:
79 1801157
output:
620550406
result:
ok 1 number(s): "620550406"
Test #10:
score: 0
Accepted
time: 624ms
memory: 3636kb
input:
22 5417157
output:
457449071
result:
ok 1 number(s): "457449071"
Test #11:
score: 0
Accepted
time: 370ms
memory: 3640kb
input:
25 3210162
output:
36368303
result:
ok 1 number(s): "36368303"
Test #12:
score: 0
Accepted
time: 336ms
memory: 3648kb
input:
67 2919160
output:
935195555
result:
ok 1 number(s): "935195555"
Test #13:
score: 0
Accepted
time: 991ms
memory: 3660kb
input:
77 8613163
output:
482832472
result:
ok 1 number(s): "482832472"
Test #14:
score: 0
Accepted
time: 1151ms
memory: 3664kb
input:
90 10000000
output:
275581651
result:
ok 1 number(s): "275581651"
Test #15:
score: 0
Accepted
time: 1147ms
memory: 3720kb
input:
99 9999999
output:
126087169
result:
ok 1 number(s): "126087169"
Test #16:
score: 0
Accepted
time: 1151ms
memory: 3652kb
input:
100 10000000
output:
451590067
result:
ok 1 number(s): "451590067"
Extra Test:
score: 0
Extra Test Passed