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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#794364 | #9553. The Hermit | KafuuChinocpp# | AC ✓ | 18ms | 10236kb | C++14 | 1.4kb | 2024-11-30 13:54:37 | 2024-11-30 13:54:38 |
Judging History
answer
#include <cstdio>
#include <algorithm>
using namespace std;
const int max1 = 1e5;
const int mod = 998244353;
int m, n;
int fac[max1 + 5], ifac[max1 + 5], ans;
int f[max1 + 5][20];
int C ( int n, int m )
{
if ( n < 0 || m < 0 || n < m )
return 0;
return 1LL * fac[n] * ifac[n - m] % mod * ifac[m] % mod;
}
int main ()
{
scanf("%d%d", &m, &n);
fac[0] = 1;
for ( int i = 1; i <= m; i ++ )
fac[i] = 1LL * fac[i - 1] * i % mod;
ifac[0] = ifac[1] = 1;
for ( int i = 2; i <= m; i ++ )
ifac[i] = 1LL * (mod - mod / i) * ifac[mod % i] % mod;
for ( int i = 1; i <= m; i ++ )
ifac[i] = 1LL * ifac[i - 1] * ifac[i] % mod;
ans = 1LL * C(m, n) * n % mod;
for ( int i = 1; i <= m; i ++ )
{
f[i][1] = 1;
for ( int j = 1; j < 20; j ++ )
{
if ( f[i][j] )
{
for ( int k = 2; k * i <= m; k ++ )
{
f[k * i][j + 1] = (f[k * i][j + 1] + f[i][j]) % mod;
}
}
}
}
for ( int i = 1; i <= m; i ++ )
{
int cnt = m / i;
for ( int k = 0; k <= min(cnt - 1, n - 1); k ++ )
if ( n - k < 20 )
ans = (ans - 1LL * C(cnt - 1, k) * f[i][n - k] % mod + mod) % mod;
}
printf("%d\n", ans);
return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 1644kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 0ms
memory: 1632kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 12ms
memory: 10168kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: 0
Accepted
time: 0ms
memory: 4560kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: 0
Accepted
time: 8ms
memory: 10204kb
input:
99998 12345
output:
936396560
result:
ok 1 number(s): "936396560"
Test #6:
score: 0
Accepted
time: 12ms
memory: 10236kb
input:
100000 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 14ms
memory: 10216kb
input:
100000 15
output:
190067060
result:
ok 1 number(s): "190067060"
Test #8:
score: 0
Accepted
time: 0ms
memory: 1544kb
input:
10 3
output:
299
result:
ok 1 number(s): "299"
Test #9:
score: 0
Accepted
time: 0ms
memory: 1600kb
input:
10 4
output:
743
result:
ok 1 number(s): "743"
Test #10:
score: 0
Accepted
time: 0ms
memory: 1616kb
input:
10 5
output:
1129
result:
ok 1 number(s): "1129"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
15 6
output:
28006
result:
ok 1 number(s): "28006"
Test #12:
score: 0
Accepted
time: 0ms
memory: 1616kb
input:
15 7
output:
42035
result:
ok 1 number(s): "42035"
Test #13:
score: 0
Accepted
time: 0ms
memory: 1572kb
input:
123 45
output:
214851327
result:
ok 1 number(s): "214851327"
Test #14:
score: 0
Accepted
time: 0ms
memory: 1632kb
input:
998 244
output:
964050559
result:
ok 1 number(s): "964050559"
Test #15:
score: 0
Accepted
time: 0ms
memory: 1704kb
input:
1919 810
output:
379720338
result:
ok 1 number(s): "379720338"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3756kb
input:
1048 576
output:
216543264
result:
ok 1 number(s): "216543264"
Test #17:
score: 0
Accepted
time: 0ms
memory: 1704kb
input:
999 777
output:
635548531
result:
ok 1 number(s): "635548531"
Test #18:
score: 0
Accepted
time: 12ms
memory: 10224kb
input:
99999 77777
output:
448144614
result:
ok 1 number(s): "448144614"
Test #19:
score: 0
Accepted
time: 5ms
memory: 4580kb
input:
34527 6545
output:
748108997
result:
ok 1 number(s): "748108997"
Test #20:
score: 0
Accepted
time: 2ms
memory: 2720kb
input:
12345 12
output:
777496209
result:
ok 1 number(s): "777496209"
Test #21:
score: 0
Accepted
time: 0ms
memory: 1540kb
input:
1 1
output:
0
result:
ok 1 number(s): "0"
Test #22:
score: 0
Accepted
time: 16ms
memory: 10120kb
input:
100000 10101
output:
855985819
result:
ok 1 number(s): "855985819"
Test #23:
score: 0
Accepted
time: 12ms
memory: 10228kb
input:
100000 91919
output:
92446940
result:
ok 1 number(s): "92446940"
Test #24:
score: 0
Accepted
time: 10ms
memory: 10224kb
input:
100000 77979
output:
106899398
result:
ok 1 number(s): "106899398"
Test #25:
score: 0
Accepted
time: 1ms
memory: 2476kb
input:
10000 11
output:
326411649
result:
ok 1 number(s): "326411649"
Test #26:
score: 0
Accepted
time: 13ms
memory: 10216kb
input:
100000 2
output:
15322970
result:
ok 1 number(s): "15322970"
Test #27:
score: 0
Accepted
time: 12ms
memory: 10164kb
input:
100000 3
output:
93355797
result:
ok 1 number(s): "93355797"
Test #28:
score: 0
Accepted
time: 13ms
memory: 10224kb
input:
100000 99998
output:
331850772
result:
ok 1 number(s): "331850772"
Test #29:
score: 0
Accepted
time: 13ms
memory: 10208kb
input:
100000 99996
output:
885066226
result:
ok 1 number(s): "885066226"
Test #30:
score: 0
Accepted
time: 2ms
memory: 2788kb
input:
13115 2964
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 13ms
memory: 10204kb
input:
100000 17
output:
425792977
result:
ok 1 number(s): "425792977"
Test #32:
score: 0
Accepted
time: 18ms
memory: 10184kb
input:
99991 16
output:
667323936
result:
ok 1 number(s): "667323936"
Test #33:
score: 0
Accepted
time: 13ms
memory: 10228kb
input:
99991 17
output:
627396741
result:
ok 1 number(s): "627396741"
Test #34:
score: 0
Accepted
time: 17ms
memory: 10208kb
input:
99991 18
output:
874158501
result:
ok 1 number(s): "874158501"
Test #35:
score: 0
Accepted
time: 10ms
memory: 10224kb
input:
100000 100000
output:
99999
result:
ok 1 number(s): "99999"
Test #36:
score: 0
Accepted
time: 7ms
memory: 10200kb
input:
94229 94229
output:
94228
result:
ok 1 number(s): "94228"
Test #37:
score: 0
Accepted
time: 15ms
memory: 9700kb
input:
94229 94223
output:
476599876
result:
ok 1 number(s): "476599876"
Test #38:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
2 1
output:
0
result:
ok 1 number(s): "0"
Test #39:
score: 0
Accepted
time: 0ms
memory: 1616kb
input:
2 2
output:
0
result:
ok 1 number(s): "0"
Test #40:
score: 0
Accepted
time: 0ms
memory: 1548kb
input:
3 1
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 0ms
memory: 1640kb
input:
3 2
output:
2
result:
ok 1 number(s): "2"
Test #42:
score: 0
Accepted
time: 0ms
memory: 1596kb
input:
3 3
output:
2
result:
ok 1 number(s): "2"
Test #43:
score: 0
Accepted
time: 0ms
memory: 1596kb
input:
9 2
output:
44
result:
ok 1 number(s): "44"
Test #44:
score: 0
Accepted
time: 0ms
memory: 1612kb
input:
9 3
output:
206
result:
ok 1 number(s): "206"
Test #45:
score: 0
Accepted
time: 0ms
memory: 3704kb
input:
9 4
output:
441
result:
ok 1 number(s): "441"
Test #46:
score: 0
Accepted
time: 0ms
memory: 1560kb
input:
9 7
output:
224
result:
ok 1 number(s): "224"
Test #47:
score: 0
Accepted
time: 5ms
memory: 7680kb
input:
70839 22229
output:
0
result:
ok 1 number(s): "0"
Test #48:
score: 0
Accepted
time: 11ms
memory: 9156kb
input:
65536 17
output:
698801006
result:
ok 1 number(s): "698801006"
Test #49:
score: 0
Accepted
time: 7ms
memory: 8972kb
input:
65535 17
output:
433312902
result:
ok 1 number(s): "433312902"
Test #50:
score: 0
Accepted
time: 11ms
memory: 10132kb
input:
99856 317
output:
932131332
result:
ok 1 number(s): "932131332"
Test #51:
score: 0
Accepted
time: 7ms
memory: 10184kb
input:
99856 318
output:
398997854
result:
ok 1 number(s): "398997854"
Test #52:
score: 0
Accepted
time: 8ms
memory: 10208kb
input:
99856 2
output:
984791559
result:
ok 1 number(s): "984791559"
Test #53:
score: 0
Accepted
time: 8ms
memory: 10128kb
input:
100000 50000
output:
309108799
result:
ok 1 number(s): "309108799"
Extra Test:
score: 0
Extra Test Passed