QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#220649 | #6736. Alice and Bob | ycccc319# | AC ✓ | 172ms | 238104kb | C++17 | 1.0kb | 2023-10-20 16:57:26 | 2023-10-20 16:57:26 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int N = 10000010;
const int mod = 998244353;
ll jc[N + 1];
ll iv[N + 1];
ll ivjc[N + 1];
void init() {
jc[0] = jc[1] = 1;
iv[0] = iv[1] = 1;
ivjc[0] = ivjc[1] = 1;
for (int i = 2; i <= N; i++) {
jc[i] = jc[i - 1] * i % mod;
iv[i] = (mod - mod / i) * iv[mod % i] % mod;
ivjc[i] = ivjc[i - 1] * iv[i] % mod;
}
}
ll C(ll n, ll m) {
if (n < m)return 0;
else return jc[n] * ivjc[m] % mod * ivjc[n - m] % mod;
}
ll A(ll n, ll m)
{
if(n<m) return 0;
else return jc[n] * ivjc[n-m] % mod;
}
int main()
{
init();
// cout<<A(2,1)<<" "<<A(2,2);
int n;
cin>>n;
if(n==1)
{
cout<<1;
return 0;
}
ll ans=0;
for(int i=n;i>=1;i--)
{
// cout<<A(n-i,i-1)*A(n-i,n-i)<<"\n";
ans=(ans+(jc[n-1]-A(n-i,i-1)*A(n-i,n-i)%mod)%mod+mod)%mod;
}
cout<<((jc[n]-ans)%mod+mod)%mod;
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 127ms
memory: 237956kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 144ms
memory: 237956kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 158ms
memory: 238024kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 107ms
memory: 238024kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 132ms
memory: 238048kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 104ms
memory: 238020kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 145ms
memory: 237968kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 131ms
memory: 237956kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 105ms
memory: 238032kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 128ms
memory: 237980kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 112ms
memory: 238088kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 120ms
memory: 238040kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 147ms
memory: 237960kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 119ms
memory: 237956kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 163ms
memory: 238080kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 153ms
memory: 237956kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 158ms
memory: 238088kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 104ms
memory: 238104kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 122ms
memory: 238032kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 119ms
memory: 238088kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 145ms
memory: 238032kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 172ms
memory: 237900kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 164ms
memory: 237908kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"