QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#790772 | #9553. The Hermit | ucup-team5217# | AC ✓ | 67ms | 22324kb | C++23 | 1.7kb | 2024-11-28 15:17:26 | 2024-11-28 15:17:26 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 10;
const int mod = 998244353;
int g[N][22];
int f[N][22];
int n, m;
int fac[N], ifac[N], inv[N];
vector<int> val[N];
int C(int n, int m) {
if (n < m || m < 0) return 0;
return 1ll * fac[n] * ifac[m] % mod * ifac[n - m] % mod;
}
int add(int x, int y) {
return x + y >= mod ? x + y - mod : x + y;
}
void getg(int n, int k) {
g[n][k] = C(n - 1, m - k);
for (int l = 2, r = 0; l <= n; l = r + 1) {
r = n / (n / l);
g[n][k] = add(g[n][k], mod - 1ll * C(n / l - 1, m - k - 1) * (r - l + 1) % mod);
}
}
int main() {
scanf("%d%d", &n, &m);
inv[1] = fac[0] = fac[1] = ifac[0] = ifac[1] = 1;
for (int i = 2; i <= n; ++i) {
fac[i] = 1ll * fac[i - 1] * i % mod;
inv[i] = 1ll * (mod - mod / i) * inv[mod % i] % mod;
ifac[i] = 1ll * ifac[i - 1] * inv[i] % mod;
}
for (int l = 1, r = 0; l <= n; l = r + 1) {
r = n / (n / l);
for (int i = 0; i <= min(m - 1, 20); ++i) {
getg(n / l, i);
}
}
// cerr << g[4][1] << '\n';
for (int i = 1; i <= n; ++i) {
f[i][1] = 1;
}
for (int j = 1; j < 20; ++j) {
for (int i = 1; i <= n; ++i) {
for (int k = i + i; k <= n; k += i) {
f[k][j + 1] = add(f[k][j + 1], f[i][j]);
}
}
}
int ans = 0;
for (int i = 1; i <= min(m - 1, 20); ++i) {
for (int j = 1; j <= n; ++j) {
ans = add(ans, 1ll * f[j][i] * g[n / j][i] % mod * (m - i) % mod);
}
}
ans = add(ans, 1ll * g[n][0] * m % mod);
printf("%d\n", ans);
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: 2ms
memory: 10084kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 0ms
memory: 9904kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 62ms
memory: 20152kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 6ms
memory: 12028kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 67ms
memory: 18244kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 50ms
memory: 20332kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 60ms
memory: 20276kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 0ms
memory: 9936kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 0ms
memory: 7912kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 1ms
memory: 8036kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 1ms
memory: 9956kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 1ms
memory: 8036kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 1ms
memory: 7852kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 1ms
memory: 10040kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 2ms
memory: 9980kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 0ms
memory: 10076kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 1ms
memory: 8036kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 66ms
memory: 20268kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 15ms
memory: 16224kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 5ms
memory: 9980kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 1ms
memory: 10084kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 61ms
memory: 18284kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 62ms
memory: 20284kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 66ms
memory: 18240kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 0ms
memory: 9956kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 50ms
memory: 20332kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 52ms
memory: 20284kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 62ms
memory: 20264kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 59ms
memory: 20328kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 6ms
memory: 10032kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 64ms
memory: 18240kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 60ms
memory: 20264kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 60ms
memory: 18156kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 64ms
memory: 20228kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 65ms
memory: 20148kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 62ms
memory: 20224kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 58ms
memory: 20264kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 0ms
memory: 9960kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 1ms
memory: 8036kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 2ms
memory: 9960kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 1ms
memory: 7984kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 1ms
memory: 10032kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 0ms
memory: 10032kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 0ms
memory: 10036kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 1ms
memory: 9904kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 1ms
memory: 10088kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 55ms
memory: 22324kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 36ms
memory: 18228kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 35ms
memory: 18152kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 65ms
memory: 20324kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 67ms
memory: 20324kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 51ms
memory: 20140kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 63ms
memory: 20144kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed