QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#639490 | #6736. Alice and Bob | Nyans | AC ✓ | 130ms | 159960kb | C++14 | 1.0kb | 2024-10-13 19:57:04 | 2024-10-13 19:57:05 |
Judging History
answer
#include <bits/stdc++.h>
using i64 = long long;
const int N = 1e7;
const int mod = 998244353;
i64 fac[10000010], ifac[10000010];
i64 fp(i64 a, i64 b) {
i64 t = 1;
for (; b; b >>= 1, a = a * a % mod) {
if (b & 1) {
t = t * a % mod;
}
}
return t;
}
void init() {
fac[0] = 1;
for (int i = 1; i <= N; ++i) {
fac[i] = 1ll * i * fac[i - 1] % mod;
}
ifac[N] = fp(fac[N], mod - 2);
for (int i = N - 1; i >= 0; i--) {
ifac[i] = 1ll * (i + 1) * ifac[i + 1] % mod;
}
}
i64 binom(int n, int m) {
if (n < m || n < 0 || m < 0) {
return 0;
}
return fac[n] * ifac[m] % mod * ifac[n - m] % mod;
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
init();
int n; std::cin >> n;
i64 ans = 0;
for (int i = 1; i <= n; ++i) {
i64 t = fac[n - i] * fac[i - 1] % mod * binom(n - i, i - 1) % mod;
ans = (ans + t) % mod;
}
std::cout << ans << "\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 85ms
memory: 159892kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 82ms
memory: 159904kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 89ms
memory: 159960kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 85ms
memory: 159908kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 86ms
memory: 159956kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 86ms
memory: 159888kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 77ms
memory: 159896kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 89ms
memory: 159896kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 82ms
memory: 159880kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 85ms
memory: 159832kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 81ms
memory: 159836kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 78ms
memory: 159912kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 81ms
memory: 159848kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 87ms
memory: 159840kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 109ms
memory: 159856kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 119ms
memory: 159940kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 111ms
memory: 159836kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 103ms
memory: 159840kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 107ms
memory: 159908kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 97ms
memory: 159848kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 119ms
memory: 159916kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 130ms
memory: 159908kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 119ms
memory: 159840kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"