QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#411554 | #6736. Alice and Bob | xiwon# | AC ✓ | 111ms | 159832kb | C++14 | 877b | 2024-05-15 15:55:24 | 2024-05-15 15:55:24 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int SIZE = 10000003;
const ll MD = 998244353;
ll jc[SIZE], jc_inv[SIZE];
ll pwer(ll a, ll b, ll ret = 1ll) {
for ( ; b; b >>= 1) {
if (b & 1) ret = ret * a % MD;
a = a * a % MD;
}
return ret;
}
int main() {
ll n;
cin >> n;
// cout << pwer(3, 3) << endl;
jc[0] = 1;
for (int i = 1; i <= n; i++) {
jc[i] = jc[i - 1] * i % MD;
}
jc_inv[n] = pwer(jc[n], MD - 2);
// assert(jc_inv[n] * jc[n] % MD == 1);
for (int i = n - 1; i >= 0; i--) {
jc_inv[i] = jc_inv[i + 1] * (i + 1) % MD;
}
// assert(jc_inv[0] == 1);
ll lim = (n + 1) / 2;
ll ans = 0;
for (int i = 1; i <= lim; i++) {
ll t = jc[n - i] * jc[n - i] % MD * jc_inv[n - i - i + 1] % MD;
// cout << "i = " << i << ", " << t << endl;
ans = (ans + t) % MD;
}
cout << ans;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 5784kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 1ms
memory: 5700kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5700kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5756kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 0ms
memory: 5716kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 1ms
memory: 5712kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 0ms
memory: 5576kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 1ms
memory: 5712kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 1ms
memory: 5632kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 1ms
memory: 5656kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 0ms
memory: 5704kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 0ms
memory: 5580kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 1ms
memory: 5768kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 14ms
memory: 27292kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 71ms
memory: 125340kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 98ms
memory: 132956kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 76ms
memory: 101348kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 44ms
memory: 60648kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 75ms
memory: 114252kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 32ms
memory: 52456kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 100ms
memory: 159832kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 91ms
memory: 159776kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 111ms
memory: 159828kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"