QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#683423 | #8339. Rooted Tree | goblin_team# | AC ✓ | 1101ms | 159944kb | C++14 | 994b | 2024-10-27 20:57:54 | 2024-10-27 20:57:55 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll mod = 1000000009;
ll m,k,sqr;
inline ll mpow(ll a, ll b) {
ll ret = 1;
for (; b; b >>= 1) {
if (b & 1) {
ret *= a;
ret %= mod;
}
a = a * a;
a%=mod;
}
return ret;
}
ll qpow(ll b, ll x){
if(x==0) return 1;
ll tmp = qpow(b,x/2);
if(x&1) return tmp*tmp%mod*b%mod;
else return tmp*tmp%mod;
}
ll inv(ll x){
return mpow(x%mod, mod-2);
}
ll invv[10000005];
ll calc(ll i){
return sqr*invv[i]%mod;
}
ll diff[10000005];
int main(){
// m=100; k=1e7;
cin>>m>>k;
diff[1] = m;
sqr = m*m%mod;
for(int i=2; i<=k; ++i) invv[i] = inv(ll(i-1)*(m-1)+1);
for(int i=2; i<=k; ++i){
diff[i] = (diff[i-1] + calc(i))%mod;
}
ll g = 0;
for(int i=1; i<=k; ++i) {
g+=diff[i];
g%=mod;
}
cout<<g<<endl;
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 5548kb
input:
6 2
output:
18
result:
ok 1 number(s): "18"
Test #2:
score: 0
Accepted
time: 1ms
memory: 5528kb
input:
2 6
output:
600000038
result:
ok 1 number(s): "600000038"
Test #3:
score: 0
Accepted
time: 66ms
memory: 15884kb
input:
83 613210
output:
424200026
result:
ok 1 number(s): "424200026"
Test #4:
score: 0
Accepted
time: 734ms
memory: 113048kb
input:
48 6713156
output:
198541581
result:
ok 1 number(s): "198541581"
Test #5:
score: 0
Accepted
time: 0ms
memory: 5688kb
input:
1 111
output:
6216
result:
ok 1 number(s): "6216"
Test #6:
score: 0
Accepted
time: 811ms
memory: 118416kb
input:
28 7304152
output:
457266679
result:
ok 1 number(s): "457266679"
Test #7:
score: 0
Accepted
time: 451ms
memory: 69180kb
input:
38 4101162
output:
232117382
result:
ok 1 number(s): "232117382"
Test #8:
score: 0
Accepted
time: 1086ms
memory: 159324kb
input:
51 9921154
output:
340670552
result:
ok 1 number(s): "340670552"
Test #9:
score: 0
Accepted
time: 201ms
memory: 36004kb
input:
79 1801157
output:
620550406
result:
ok 1 number(s): "620550406"
Test #10:
score: 0
Accepted
time: 582ms
memory: 89780kb
input:
22 5417157
output:
457449071
result:
ok 1 number(s): "457449071"
Test #11:
score: 0
Accepted
time: 358ms
memory: 56368kb
input:
25 3210162
output:
36368303
result:
ok 1 number(s): "36368303"
Test #12:
score: 0
Accepted
time: 318ms
memory: 51740kb
input:
67 2919160
output:
935195555
result:
ok 1 number(s): "935195555"
Test #13:
score: 0
Accepted
time: 950ms
memory: 142300kb
input:
77 8613163
output:
482832472
result:
ok 1 number(s): "482832472"
Test #14:
score: 0
Accepted
time: 1093ms
memory: 159932kb
input:
90 10000000
output:
275581651
result:
ok 1 number(s): "275581651"
Test #15:
score: 0
Accepted
time: 1101ms
memory: 159884kb
input:
99 9999999
output:
126087169
result:
ok 1 number(s): "126087169"
Test #16:
score: 0
Accepted
time: 1093ms
memory: 159944kb
input:
100 10000000
output:
451590067
result:
ok 1 number(s): "451590067"
Extra Test:
score: 0
Extra Test Passed