QOJ.ac
QOJ
| ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
|---|---|---|---|---|---|---|---|---|---|
| #689910 | #8339. Rooted Tree | ospoasa | AC ✓ | 1177ms | 3704kb | C++14 | 702b | 2024-10-30 19:10:41 | 2024-10-30 19:10:42 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using LL = long long;
const int N = 1e5 + 5;
const LL mod = 1e9 + 9;
LL Inv[N], ans;
int fast(int a, int b)
{
int r = 1;
for (; b; b >>= 1, a = 1ll * a * a % mod) {
if (b & 1) r = 1ll * r * a % mod;
}
return r;
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
int M, k;
cin >> M >> k;
// Inv[1] = 1;
// for(int i = 2; i <= k; i++ ) {
// Inv[i] = (mod - mod / i) * Inv[mod % i] % mod;
// }
LL avr = 0, n = 1;
for(int i = 1; i <= k; i++) {
ans += (avr + 1) * M;
ans %= mod;
avr = ((n - 1) * avr + (avr + 1) * M) % mod * fast(n + M - 1, mod - 2) % mod;
n += M - 1;
}
cout << ans;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3680kb
input:
6 2
output:
18
result:
ok 1 number(s): "18"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
2 6
output:
600000038
result:
ok 1 number(s): "600000038"
Test #3:
score: 0
Accepted
time: 73ms
memory: 3632kb
input:
83 613210
output:
424200026
result:
ok 1 number(s): "424200026"
Test #4:
score: 0
Accepted
time: 786ms
memory: 3608kb
input:
48 6713156
output:
198541581
result:
ok 1 number(s): "198541581"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3640kb
input:
1 111
output:
6216
result:
ok 1 number(s): "6216"
Test #6:
score: 0
Accepted
time: 860ms
memory: 3548kb
input:
28 7304152
output:
457266679
result:
ok 1 number(s): "457266679"
Test #7:
score: 0
Accepted
time: 486ms
memory: 3548kb
input:
38 4101162
output:
232117382
result:
ok 1 number(s): "232117382"
Test #8:
score: 0
Accepted
time: 1164ms
memory: 3676kb
input:
51 9921154
output:
340670552
result:
ok 1 number(s): "340670552"
Test #9:
score: 0
Accepted
time: 212ms
memory: 3700kb
input:
79 1801157
output:
620550406
result:
ok 1 number(s): "620550406"
Test #10:
score: 0
Accepted
time: 638ms
memory: 3704kb
input:
22 5417157
output:
457449071
result:
ok 1 number(s): "457449071"
Test #11:
score: 0
Accepted
time: 378ms
memory: 3624kb
input:
25 3210162
output:
36368303
result:
ok 1 number(s): "36368303"
Test #12:
score: 0
Accepted
time: 340ms
memory: 3616kb
input:
67 2919160
output:
935195555
result:
ok 1 number(s): "935195555"
Test #13:
score: 0
Accepted
time: 1013ms
memory: 3696kb
input:
77 8613163
output:
482832472
result:
ok 1 number(s): "482832472"
Test #14:
score: 0
Accepted
time: 1177ms
memory: 3612kb
input:
90 10000000
output:
275581651
result:
ok 1 number(s): "275581651"
Test #15:
score: 0
Accepted
time: 1177ms
memory: 3640kb
input:
99 9999999
output:
126087169
result:
ok 1 number(s): "126087169"
Test #16:
score: 0
Accepted
time: 1177ms
memory: 3624kb
input:
100 10000000
output:
451590067
result:
ok 1 number(s): "451590067"
Extra Test:
score: 0
Extra Test Passed