QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#198645 | #6736. Alice and Bob | JJBOOM | AC ✓ | 128ms | 159832kb | C++14 | 946b | 2023-10-03 15:59:12 | 2023-10-03 15:59:12 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int mo = 998244353;
const int maxn = 1e7+9;
long long fac[maxn];
long long invfac[maxn];
long long power(int a, int b) {
long long ans = 1;
for (; b; b >>= 1, a = 1LL * a * a % mo) {
if (b & 1) {
ans *= a;
ans %= mo;
}
}
return ans;
}
void ppre(){
fac[0] = 1;
for(int i = 1; i < maxn; ++ i){
fac[i] = 1LL * fac[i-1] * i;
fac[i] %= mo;
}
invfac[maxn - 1] = power(fac[maxn - 1], mo - 2);
for (int i = maxn - 1; i; i--) {
invfac[i - 1] = 1LL * invfac[i] * i % mo;
}
// cout << invfac[2] << "\n";
assert(1LL * fac[2] * invfac[2] % mo == 1);
}
int main(){
ppre();
int n;
cin >> n;
long long ans = 0;
for(int i = 1; n - 2 * i + 1 >= 0; ++ i){
ans = (ans + 1LL * fac[n - i] * invfac[i - 1] % mo * invfac[n - 2 * i + 1] % mo * fac[i - 1] % mo * fac[n - i] % mo) % mo;
}
cout << ans << "\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 65ms
memory: 159664kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 52ms
memory: 159832kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 103ms
memory: 159664kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 87ms
memory: 159664kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 100ms
memory: 159672kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 90ms
memory: 159796kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 92ms
memory: 159664kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 75ms
memory: 159628kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 85ms
memory: 159680kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 99ms
memory: 159784kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 75ms
memory: 159628kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 79ms
memory: 159792kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 35ms
memory: 159672kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 51ms
memory: 159660kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 117ms
memory: 159656kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 105ms
memory: 159632kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 103ms
memory: 159676kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 111ms
memory: 159784kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 107ms
memory: 159832kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 88ms
memory: 159672kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 116ms
memory: 159784kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 75ms
memory: 159600kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 128ms
memory: 159628kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"