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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#788049 | #9553. The Hermit | frankly6# | WA | 1495ms | 19124kb | C++17 | 1.4kb | 2024-11-27 15:43:08 | 2024-11-27 15:43:10 |
Judging History
answer
#include<iostream>
#include<cstdio>
#include<vector>
#define int long long
using namespace std;
typedef long long ll;
const int p=998244353;
const int MX=100010;
int N, M, ans;
int fac[MX], invf[MX], dep[MX];
vector<int> e[MX];
int read()
{
int r=0, f=1; char ch=getchar();
while(ch<'0'||ch>'9') {if(ch=='-') f=-1; ch=getchar();}
while(ch>='0'&&ch<='9') {r=r*10+ch-'0'; ch=getchar();}
return r*f;
}
int qpow(int x, int pow)
{
int ans=1;
while(pow)
{
if(pow&1) ans=ans*x%p;
x=x*x%p;
pow>>=1;
}
return ans;
}
int inv(int x) {return qpow(x,p-2);}
int C(int n, int m)
{
if(n==0&&m==0) return 1;
if(m>n) return ll(0);
if(m<=n) return fac[n]*invf[m]%p*invf[n-m]%p;
}
void norm()
{
ans=(ans%p+p)%p;
}
void dfs(int x, int f)
{
dep[x]=dep[f]+1;
for(int i=1;i<=dep[x];i++)
{
ans-=C((M-x)/x,N-i);
}
norm();
for(auto u:e[x])
{
dfs(u,x);
}
}
signed main()
{
// freopen("testdata.in","r",stdin);
fac[0]=1;
for(int i=1;i<=100000;i++) fac[i]=fac[i-1]*i%p;
for(int i=0;i<=100000;i++) invf[i]=inv(fac[i]);
M=read(); N=read();
ans=C(M,N)*N%p;
// cout << "ans=" << ans << '\n';
for(int i=1;i<=M;i++)
{
for(int j=2*i;j<=M;j+=i)
{
e[i].emplace_back(j);
}
}
dfs(1,0);
norm();
cout << ans << '\n';
return (0-0);
}
Details
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Test #1:
score: 100
Accepted
time: 6ms
memory: 8220kb
input:
4 3
output:
7
result:
ok 1 number(s): "7"
Test #2:
score: 0
Accepted
time: 9ms
memory: 7996kb
input:
11 4
output:
1187
result:
ok 1 number(s): "1187"
Test #3:
score: 0
Accepted
time: 1495ms
memory: 19124kb
input:
100000 99999
output:
17356471
result:
ok 1 number(s): "17356471"
Test #4:
score: -100
Wrong Answer
time: 45ms
memory: 9312kb
input:
11451 1919
output:
538056267
result:
wrong answer 1st numbers differ - expected: '845616153', found: '538056267'