QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#252232 | #6736. Alice and Bob | ucup-team191# | AC ✓ | 133ms | 81668kb | C++14 | 1.2kb | 2023-11-15 16:52:46 | 2023-11-15 16:52:46 |
Judging History
answer
#include <bits/stdc++.h>
#define x first
#define y second
using namespace std;
using ll=long long;
using pii=pair<int,int>;
using vi=vector<int>;
using vl=vector<ll>;
#define pb push_back
#define all(a) begin(a),end(a)
const int N=10000010,MOD=998244353;
const char en='\n';
const ll LLINF=1ll<<60;
void ad(int&a,int b)
{
a+=b;
if (a>=MOD) a-=MOD;
}
int add(int a,int b)
{
if (a+b>=MOD) return a+b-MOD;
return a+b;
}
int mul(int a,int b)
{
return a*1ll*b%MOD;
}
int pot(int n,int k)
{
if (k==0) return 1;
int r=pot(n,k/2);
r=mul(r,r);
if (k%2) r=mul(r,n);
return r;
}
int n,fac[N],inf[N];
int cho(int a,int b)
{
if (b<0 || b>a) return 0;
return mul(fac[a],mul(inf[b],inf[a-b]));
}
int invcho(int a,int b)
{
if (b<0 || b>a) return 0;
return mul(inf[a],mul(fac[b],fac[a-b]));
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cin>>n;
fac[0]=1;
for (int i=1;i<=n;++i) fac[i]=mul(fac[i-1],i);
inf[n]=pot(fac[n],MOD-2);
for (int i=n-1;i>=0;--i) inf[i]=mul(inf[i+1],i+1);
int an=0;
for (int p=0;p<n;++p)
{
ad(an,mul(cho(n-1-p,p),invcho(n-1,p)));
}
cout<<mul(an,fac[n-1])<<en;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3396kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3436kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3356kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3388kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3356kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 1ms
memory: 3508kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3388kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3508kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3440kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 1ms
memory: 3572kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3396kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 21ms
memory: 14036kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 106ms
memory: 63496kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 111ms
memory: 68640kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 96ms
memory: 52048kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 53ms
memory: 32184kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 77ms
memory: 57812kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 35ms
memory: 26180kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 114ms
memory: 81516kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 125ms
memory: 81668kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 133ms
memory: 81416kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"