QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#368655 | #6736. Alice and Bob | liutaowoaini | AC ✓ | 166ms | 237696kb | C++17 | 1.1kb | 2024-03-27 14:57:37 | 2024-03-27 14:57:38 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int mod = 998244353;
typedef long long LL;
#define int long long
const int N = 1e7 + 20;
const int M = 1e7;
LL fac[N], inFac[N];
LL qmi(LL a, LL b)
{
LL sum = 1;
while (b) {
if (b & 1LL) {
sum = sum * a % mod;
}
b >>= 1LL; a = a * a % mod;
}
return sum % mod;
}
LL C(LL n, LL m)
{
if (n < m)
{
return 0;
}
return fac[n] * inFac[m] % mod * inFac[n - m] % mod;
}
signed main()
{
int n;
cin >> n;
fac[0] = 1;
for (int i = 1; i <= n; ++i)
{
fac[i] = fac[i - 1] * i % mod;
}
inFac[n] = qmi(fac[n], mod - 2);
for (int i = n - 1; i >= 0; --i) {
inFac[i] = inFac[i + 1] * (i + 1) % mod;
}//计算组合数
vector<LL> s(n + 10);
s[0] = 1;
for (int i = 1; i <= n; i++) s[i] = s[i - 1] * i % mod;//提前计算阶乘
int sum = 0;
for (int x = 1; x <= n; x++)
{
sum = (sum + C(n - x, x - 1) * s[n - x] % mod * s[x - 1] % mod) % mod;
}
cout << (sum + mod) % mod << endl;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 5840kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 0ms
memory: 5548kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5568kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5784kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 0ms
memory: 5576kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 0ms
memory: 5516kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 1ms
memory: 5592kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 1ms
memory: 5848kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 1ms
memory: 5656kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 1ms
memory: 5784kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 1ms
memory: 5840kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 0ms
memory: 5628kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 1ms
memory: 5804kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 28ms
memory: 40760kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 103ms
memory: 180680kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 106ms
memory: 194192kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 97ms
memory: 148884kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 52ms
memory: 87904kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 88ms
memory: 168648kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 48ms
memory: 73840kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 158ms
memory: 237600kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 166ms
memory: 237696kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 124ms
memory: 237576kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"