QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#412897 | #6736. Alice and Bob | Zhaz | AC ✓ | 725ms | 159912kb | C++17 | 1.8kb | 2024-05-16 21:22:25 | 2024-05-16 21:22:26 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ll long long
#define endl "\n"
#define PII pair<double,int>
// const int maxn=1e7+5;
// const int mod=998244353;
const int N = 1e7 + 3, mod = 998244353;
const int maxn = 25000001;
const int p = 998244353;
namespace CNM {
const int N = 1e7 + 4;
int fac[N], infac[N];
int ksm(int x, int y) {
int res = 1;
while(y > 0) {
if(y & 1)
res = res * x % p;
y >>= 1;
x = x * x % p;
}
return res;
}
void init() {
fac[0] = 1;
for(int i = 1; i < N; i ++)
fac[i] = fac[i - 1] * i % p;
infac[N - 1] = ksm(fac[N - 1], p - 2);
for(int i = N - 2; i >= 0; i --)
infac[i] = infac[i + 1] * (i + 1) % p;
}
int C(int n, int m) {
if(n < m || m < 0) return 0;
return (fac[n] * infac[m] % p) * infac[n - m] % p;
}
int A(int n, int m) {
if(n < m || m < 0) return 0;
return fac[n] * infac[n - m] % mod;
}
int inv(int x,int p){
return ksm(x,p-2)%p;
}
}
// int A(int n, int m) {
// return CNM::A(n, m);
// }
int C(int n,int m){
return CNM::C(n,m);
}
int inv(int a,int b){
return CNM::inv(a,b);
}
signed main(){
// ios::sync_with_stdio(false);
// cin.tie(0),cout.tie(0);
CNM::init();
int n;cin>>n;
int ans=CNM::fac[n-1];
int s=1,x=n-2;
for(int i=2;i<=n;i++){
int temp=C(x,s)*CNM::fac[n-1]%p;
ans+=temp*inv(C(n-1,i-1),p)%mod;
ans%=p;
// printf("%d %d %d\n",i,temp,inv(C(n-1,i-1),p));
x--;s++;
if(s>x)break;
}
if(n==1)ans=1;
cout<<ans<<endl;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 79ms
memory: 159740kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 84ms
memory: 159664kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 83ms
memory: 159664kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 78ms
memory: 159700kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 85ms
memory: 159772kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 85ms
memory: 159744kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 81ms
memory: 159744kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 79ms
memory: 159908kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 87ms
memory: 159912kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 87ms
memory: 159844kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 82ms
memory: 159840kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 78ms
memory: 159848kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 87ms
memory: 159736kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 172ms
memory: 159660kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 562ms
memory: 159744kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 597ms
memory: 159740kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 468ms
memory: 159672kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 309ms
memory: 159748kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 528ms
memory: 159760kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 264ms
memory: 159744kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 725ms
memory: 159820kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 705ms
memory: 159744kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 704ms
memory: 159908kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"