QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#402058 | #6736. Alice and Bob | iwew# | AC ✓ | 148ms | 159956kb | C++20 | 1.1kb | 2024-04-29 20:22:21 | 2024-04-29 20:22:23 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 1e7 + 10, mod = 998244353;
ll fac[N], infac[N];
ll qpow(ll a, ll b) {
ll res = 1;
while(b) {
if(b & 1) res = res * a % mod;
a = a * a % mod;
b >>= 1;
}
return res;
}
void init() {
fac[0] = 1;
for(int i = 1; i < N; i ++ ) fac[i] = fac[i - 1] * i % mod;
infac[N - 1] = qpow(fac[N - 1], mod - 2);
for(int i = N - 1; i >= 1; i -- ) infac[i - 1] = infac[i] * i % mod;
}
ll sub(ll a, ll b) {
return (a - b + mod) % mod;
}
ll C(int n, int m) {
return fac[n] * infac[m] % mod * infac[n - m] % mod;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
init();
int n;
cin >> n;
ll ans = 0;
for(int i = 1; i <= n; i ++ ) {
ll res = fac[n - 1];
if(n - i >= i - 1) {
res = sub(res, C(n - i, i - 1) * fac[i - 1] % mod * fac[n - i] % mod);
}
ans = (ans + res) % mod;
}
cout << sub(fac[n], ans) << '\n';
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 78ms
memory: 159932kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 84ms
memory: 159760kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 89ms
memory: 159868kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 82ms
memory: 159956kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 89ms
memory: 159824kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 77ms
memory: 159888kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 85ms
memory: 159932kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 85ms
memory: 159796kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 74ms
memory: 159856kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 86ms
memory: 159892kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 77ms
memory: 159888kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 78ms
memory: 159800kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 100ms
memory: 159828kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 90ms
memory: 159932kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 127ms
memory: 159888kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 142ms
memory: 159888kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 114ms
memory: 159948kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 102ms
memory: 159952kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 117ms
memory: 159880kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 99ms
memory: 159792kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 148ms
memory: 159796kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 140ms
memory: 159892kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 137ms
memory: 159876kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"