QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#383789 | #6736. Alice and Bob | GordenGhost# | TL | 348ms | 15972kb | C++20 | 967b | 2024-04-09 17:35:28 | 2024-04-09 17:35:29 |
Judging History
answer
#include"bits/stdc++.h"
#define endl '\n'
using ll=long long;
using namespace std;
constexpr int N=10000000+5,mod=998244353;
ll fact[N],inv[N];
ll qpow(ll a,ll b,ll p){
a%=p;
ll ans=1%p;
for(;b;b>>=1){
if(b&1)
ans=ans*a%p;
a=a*a%p;
}
return ans;
}
ll inverse(ll a,ll m){
return qpow(fact[a],m-2,m);
}
ll C(ll n,ll r,ll m){
if(r>n)
return 0;
return ((fact[n]*inverse(r,m))%m*inverse(n-r,m)%m);
}
ll Lucas(ll n,ll r,ll m){
if(r==0)
return 1;
return C(n%m,r%m,m)*Lucas(n/m,r/m,m)%m;
}
void init(int n){
fact[0]=1;
for(int i=1;i<=n;i++)
fact[i]=(fact[i-1]*i)%mod;
}
void slove(){
int n;
cin>>n;
init(n);
ll ans=0;
if(n==1){
cout<<1<<endl;
return;
}
for(int i=1;i<=n/2;i++){
ans+=Lucas(n-i,i-1,mod)*fact[i-1]%mod*fact[n-i]%mod;
ans%=mod;
}
cout<<ans<<endl;
}
signed main(){
cin.tie(nullptr)->sync_with_stdio(0);
int _=1;
// cin>>_;
while(_--){
slove();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 5752kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 1ms
memory: 5752kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5732kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 0ms
memory: 5744kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 0ms
memory: 5656kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 1ms
memory: 5656kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 1ms
memory: 5664kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 1ms
memory: 5728kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 0ms
memory: 5748kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 0ms
memory: 5664kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 0ms
memory: 5620kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 1ms
memory: 5620kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 1ms
memory: 5604kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 348ms
memory: 15972kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: -100
Time Limit Exceeded
input:
7579013