QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#412431 | #6736. Alice and Bob | p | AC ✓ | 124ms | 159968kb | C++14 | 914b | 2024-05-16 14:06:56 | 2024-05-16 14:06:56 |
Judging History
answer
#include <iostream>
#define int long long
using namespace std;
const int N = 1e7 + 10, mod = 998244353;
int f[N];
int fp[N];
int qmi(int a, int b)
{
int res = 1;
while (b)
{
if (b & 1)
res *= a;
res %= mod;
a *= a;
a %= mod;
b >>= 1;
}
return res;
}
void init()
{
f[0] = 1;
for (int i = 1; i < N; i++)
f[i] = f[i - 1] * i % mod;
fp[N - 1] = qmi(f[N - 1], mod - 2);
for (int i = N - 2; i >= 0; i--)
fp[i] = fp[i + 1] * (i + 1) % mod;
}
int get(int up, int down)
{
return (f[down] * fp[up] % mod) * fp[down - up] % mod;
}
signed main()
{
init();
int n;
cin >> n;
int ans = 0;
for (int i = 1; i <= (n + 1) / 2; i++)
{
ans = (ans + ((f[i - 1] * get(i - 1, n - i) % mod) * f[n - i]) % mod) % mod;
}
cout << ans;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 87ms
memory: 159968kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 76ms
memory: 159780kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 86ms
memory: 159900kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 91ms
memory: 159916kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 79ms
memory: 159884kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 89ms
memory: 159960kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 82ms
memory: 159784kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 79ms
memory: 159964kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 77ms
memory: 159968kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 79ms
memory: 159916kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 82ms
memory: 159780kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 74ms
memory: 159960kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 91ms
memory: 159892kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 86ms
memory: 159968kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 107ms
memory: 159900kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 109ms
memory: 159796kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 99ms
memory: 159836kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 102ms
memory: 159900kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 113ms
memory: 159900kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 100ms
memory: 159960kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 123ms
memory: 159952kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 115ms
memory: 159828kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 124ms
memory: 159792kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"