QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#371477 | #6736. Alice and Bob | starcat# | AC ✓ | 122ms | 81824kb | C++17 | 3.0kb | 2024-03-30 13:09:46 | 2024-03-30 13:09:47 |
Judging History
answer
#include <bits/stdc++.h>
#define x first
#define y second
#define pb push_back
using namespace std;
const int N = 1e7 + 10;
const int P = 998244353, INF = 0x3f3f3f3f;
typedef pair<int, int> PII;
typedef pair<double, double> PDD;
typedef long long LL;
template<const int T>
struct ModInt {
const static int mod = T;
int x;
ModInt(int x = 0) : x(x % mod) {}
ModInt(long long x) : x(int(x % mod)) {}
int val() { return x; }
ModInt operator + (const ModInt &a) const { int x0 = x + a.x; return ModInt(x0 < mod ? x0 : x0 - mod); }
ModInt operator - (const ModInt &a) const { int x0 = x - a.x; return ModInt(x0 < 0 ? x0 + mod : x0); }
ModInt operator * (const ModInt &a) const { return ModInt(1LL * x * a.x % mod); }
ModInt operator / (const ModInt &a) const { return *this * a.inv(); }
bool operator == (const ModInt &a) const { return x == a.x; };
bool operator != (const ModInt &a) const { return x != a.x; };
void operator += (const ModInt &a) { x += a.x; if (x >= mod) x -= mod; }
void operator -= (const ModInt &a) { x -= a.x; if (x < 0) x += mod; }
void operator *= (const ModInt &a) { x = 1LL * x * a.x % mod; }
void operator /= (const ModInt &a) { *this = *this / a; }
friend ModInt operator + (int y, const ModInt &a){ int x0 = y + a.x; return ModInt(x0 < mod ? x0 : x0 - mod); }
friend ModInt operator - (int y, const ModInt &a){ int x0 = y - a.x; return ModInt(x0 < 0 ? x0 + mod : x0); }
friend ModInt operator * (int y, const ModInt &a){ return ModInt(1LL * y * a.x % mod);}
friend ModInt operator / (int y, const ModInt &a){ return ModInt(y) / a;}
friend ostream &operator<<(ostream &os, const ModInt &a) { return os << a.x;}
friend istream &operator>>(istream &is, ModInt &t){return is >> t.x;}
ModInt pow(int64_t n) const {
ModInt res(1), mul(x);
while(n){
if (n & 1) res *= mul;
mul *= mul;
n >>= 1;
}
return res;
}
ModInt inv() const {
int a = x, b = mod, u = 1, v = 0;
while (b) {
int t = a / b;
a -= t * b; swap(a, b);
u -= t * v; swap(u, v);
}
if (u < 0) u += mod;
return u;
}
};
using mint = ModInt<P>;
mint fact[N], infact[N];
void init() {
fact[0] = 1;
for(int i = 1; i < N; i ++ )
fact[i] = fact[i - 1] * i;
infact[N - 1] = fact[N - 1].inv();
for(int i = N - 2; i >= 0; i -- )
infact[i] = infact[i + 1] * (i + 1);
}
mint C(int a, int b) {
if(a < b) return 0;
return fact[a] * infact[b] * infact[a - b];
}
void solve() {
init();
int n;
cin >> n;
mint ans = 0;
//cout << ans << '\n';
for(int i = 1; i <= n; i ++ ) ans += fact[i - 1] * fact[n - i] * C(n - i, i - 1);
cout << ans;
}
int main() {
int T = 1;
// cin >> T;
while(T -- ) {
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 91ms
memory: 81652kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 91ms
memory: 81712kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 84ms
memory: 81720kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 88ms
memory: 81780kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 92ms
memory: 81788kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 96ms
memory: 81716kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 80ms
memory: 81760kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 80ms
memory: 81672kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 89ms
memory: 81668kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 88ms
memory: 81784kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 92ms
memory: 81716kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 92ms
memory: 81780kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 85ms
memory: 81716kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 86ms
memory: 81720kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 108ms
memory: 81824kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 114ms
memory: 81756kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 107ms
memory: 81772kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 96ms
memory: 81824kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 111ms
memory: 81824kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 95ms
memory: 81672kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 118ms
memory: 81708kb
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: 122ms
memory: 81648kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"