QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#759147 | #9553. The Hermit | gugg | AC ✓ | 552ms | 32812kb | C++20 | 2.9kb | 2024-11-17 22:06:24 | 2024-11-18 19:52:12 |
Judging History
answer
#include <iostream>
#include <algorithm>
#include <cstring>
#include <vector>
#include <queue>
#include <unordered_map>
#include <unordered_set>
#include <map>
#include <set>
#include <cmath>
#include <bitset>
#include <cassert>
#include <numeric>
using namespace std;
typedef long long ll;
const int N = 100010, logn = 18;
constexpr int mod = 998244353;
int n, m;
ll fact[N], infact[N];
ll f[N][logn];
ll h[N][logn];
vector<int> factor[N];
vector<int> d;
ll qmi(ll m, ll k, ll p)
{
ll res = 1 % p, t = m;
while (k)
{
if (k & 1) res = res * t % p;
t = t * t % p;
k >>= 1;
}
return res;
}
ll inv(ll a)
{
return qmi(a, mod - 2, mod);
}
ll c(int a, int b)
{
if (a < b) return 0;
return fact[a] * infact[b] % mod * infact[a - b] % mod;
}
void init()
{
fact[0] = infact[0] = 1;
for (int i = 1; i < N; i ++)
fact[i] = fact[i - 1] * i % mod;
infact[N - 1] = inv(fact[N - 1]);
for (int i = N - 2; i >= 1; i --)
infact[i] = infact[i + 1] * (i + 1) % mod;
}
void solve()
{
init();
cin >> n >> m;
for (int i = 1; i <= n; i ++)
f[i][1] = 1;
for (int i = 1; i <= n; i ++)
{
for (int j = 2; j < logn; j ++)
{
for (int x : factor[i])
{
if (x == i) continue;
f[i][j] += f[x][j - 1];
f[i][j] %= mod;
}
}
}
for (int l = 1; l <= n; l ++)
{
int x = n / l, r = n / x;
d.push_back(x);
l = r;
}
for (auto x : d)
{
for (int k = max(1, m - logn + 1); k <= m; k ++)
{
ll g[x + 10] = {0};
for (int i = x; i >= 1; i --)
{
g[i] += c(x / i, k);
g[i] %= mod;
for (auto f : factor[i])
if (f != i) g[f] -= g[i], g[f] = ((g[f] % mod) + mod) % mod;
}
for (int i = 1; i <= x; i ++)
{
h[x][m - k] += (((g[i] - c(x / i - 1, k - 1)) % mod) + mod) % mod;
// if (i == 1 && x == n && k == 2) cout << h[x][m - k] << '\n';
h[x][m - k] %= mod;
}
}
}
ll ans = h[n][0] * m % mod;
for (int i = 1; i <= n; i ++)
{
for (int j = 1; j < logn; j ++)
{
ans += f[i][j] * h[n / i][j] % mod * (m - j) % mod;
// if (f[i][j] && h[n / i][j]) cout << i << ' ' << j << ' ' << f[i][j] * h[n / i][j] << '\n';
ans %= mod;
}
}
cout << ans << '\n';
}
int main()
{
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
for (int i = 1; i < N; i ++)
for (int j = i; j < N; j += i)
factor[j].push_back(i);
int tt = 1;
// cin >> tt;
while (tt --)
{
solve();
}
return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 21ms
memory: 19432kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 30ms
memory: 17648kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 534ms
memory: 31944kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 65ms
memory: 21412kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 531ms
memory: 31172kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 134ms
memory: 31960kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 481ms
memory: 32192kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 28ms
memory: 17524kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 27ms
memory: 18032kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 31ms
memory: 18164kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 22ms
memory: 17596kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 31ms
memory: 18684kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 28ms
memory: 18004kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 32ms
memory: 18132kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 34ms
memory: 18432kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 32ms
memory: 18592kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 25ms
memory: 21284kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 515ms
memory: 31884kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 165ms
memory: 22288kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 61ms
memory: 21416kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 32ms
memory: 19364kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 528ms
memory: 32308kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 538ms
memory: 32348kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 518ms
memory: 32176kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 53ms
memory: 21312kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 165ms
memory: 31576kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 188ms
memory: 31536kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 507ms
memory: 32424kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 546ms
memory: 32380kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 63ms
memory: 20512kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 545ms
memory: 31432kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 499ms
memory: 31688kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 530ms
memory: 32812kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 552ms
memory: 31352kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 484ms
memory: 32476kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 481ms
memory: 31084kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 495ms
memory: 32368kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 27ms
memory: 17580kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 29ms
memory: 18216kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 30ms
memory: 17600kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 27ms
memory: 19464kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 31ms
memory: 18096kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 26ms
memory: 19164kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 24ms
memory: 18676kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 30ms
memory: 18804kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 30ms
memory: 19256kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 346ms
memory: 28712kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 318ms
memory: 26676kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 309ms
memory: 30264kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 520ms
memory: 32024kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 548ms
memory: 32568kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 161ms
memory: 31172kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 530ms
memory: 31932kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed