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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#794360 | #9553. The Hermit | KafuuChinocpp# | WA | 12ms | 10224kb | C++14 | 1.4kb | 2024-11-30 13:52:03 | 2024-11-30 13:52:09 |
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;
}
printf("%d\n", ans);
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 1620kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3684kb
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: 4592kb
input:
11451 1919
output:
845616153
result:
ok 1 number(s): "845616153"
Test #5:
score: -100
Wrong Answer
time: 10ms
memory: 10224kb
input:
99998 12345
output:
-61847793
result:
wrong answer 1st numbers differ - expected: '936396560', found: '-61847793'