QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#270142 | #6736. Alice and Bob | Satsuki# | AC ✓ | 123ms | 159968kb | C++20 | 1.0kb | 2023-11-30 15:45:19 | 2023-11-30 15:45:20 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int N = 1e7 + 5;
const int mod = 998244353;
#define endl '\n'
typedef long long ll;
int fac[N], inv[N];
int qs(int a,int b)
{
int res = 1;
while(b)
{
if(b & 1)res = res * a % mod;
a = a * a % mod;
b >>= 1;
}
return res;
}
int c(int n,int m)
{
if(n < 0 || m < 0 || n < m)return 0;
return fac[n] * inv[m] % mod * inv[n - m] % mod;
}
void solve()
{
int n;cin >> n;
fac[0] = 1;
for(int i = 1;i <= n;i++)fac[i] = fac[i - 1] * i % mod;
inv[n] = qs(fac[n], mod - 2);
for(int i = n - 1;i >= 1;i--)
{
inv[i] = inv[i + 1] * (i + 1) % mod;
}
inv[0] = 1;
int res = 0;
for(int i = 1;i <= n;i++)
{
// cout << c(n - i, i - 1) << endl;
(res += c(n - i, i - 1) * fac[i - 1] % mod * fac[n - i] % mod) %= mod;
}
cout << res << endl;
}
signed main()
{
ios::sync_with_stdio(false);cin.tie(0);
solve();
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 5732kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 1ms
memory: 5716kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5716kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5716kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 1ms
memory: 5660kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 1ms
memory: 5784kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 1ms
memory: 5788kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 1ms
memory: 5656kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 0ms
memory: 5656kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 0ms
memory: 5728kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 0ms
memory: 5728kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 1ms
memory: 5716kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 1ms
memory: 5660kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 10ms
memory: 30620kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 83ms
memory: 125656kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 95ms
memory: 133636kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 71ms
memory: 101972kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 33ms
memory: 60908kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 62ms
memory: 114028kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 37ms
memory: 51748kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 123ms
memory: 159860kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 112ms
memory: 159968kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 107ms
memory: 159920kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"