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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#618981 | #6736. Alice and Bob | xiojoy# | AC ✓ | 137ms | 81832kb | C++20 | 1.2kb | 2024-10-07 12:27:44 | 2024-10-07 12:27:45 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define cctie ios::sync_with_stdio(0);cin.tie(0);cout.tie(0)
#define all(x) x.begin(), x.end()
#define ALL(x) x.begin() + 1, x.end()
using i64 = long long;
using i128 = __int128;
constexpr int P = 998244353, N = 10000010;
int fact[N], finv[N];
int ksm(int a, int b = P - 2, const int p = P) {
int ret = 1 % p;
while (b) {
if (b & 1) ret = 1LL * ret * a % p;
b >>= 1;
a = 1LL * a * a % p;
}
return ret;
}
int inv(int x) {
return ksm(x);
}
int comb(int a, int b) {
if (a < b) {
return 0;
}
return 1LL * fact[a] * finv[b] % P * finv[a - b] % P;
}
void prework() {
fact[0] = finv[0] = 1;
for (int i = 1; i <= N - 10; i++) {
fact[i] = 1LL * fact[i - 1] * i % P;
}
finv[N - 10] = inv(fact[N - 10]);
for (int i = N - 10 - 1; i >= 1; i--) {
finv[i] = 1LL * finv[i + 1] * (i + 1) % P;
}
}
int main() {
cctie;
prework();
int n;
cin >> n;
int ans = 0;
for (int x = 1; x <= n; x++) {
ans = (ans + 1LL * comb(n - x, x - 1) * fact[x - 1] % P * fact[n - x] % P) % P;
}
cout << ans << '\n';
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 75ms
memory: 81752kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 80ms
memory: 81828kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 79ms
memory: 81700kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 87ms
memory: 81828kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 75ms
memory: 81740kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 75ms
memory: 81672kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 86ms
memory: 81672kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 87ms
memory: 81696kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 95ms
memory: 81680kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 83ms
memory: 81772kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 79ms
memory: 81760kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 87ms
memory: 81808kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 86ms
memory: 81736kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 82ms
memory: 81824kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 124ms
memory: 81808kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 127ms
memory: 81828kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 122ms
memory: 81676kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 97ms
memory: 81832kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 109ms
memory: 81704kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 97ms
memory: 81808kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 137ms
memory: 81668kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 121ms
memory: 81824kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 136ms
memory: 81764kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"