QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#140997 | #6736. Alice and Bob | UFRJ# | AC ✓ | 84ms | 81756kb | C++20 | 2.2kb | 2023-08-17 04:38:46 | 2023-08-17 04:38:50 |
Judging History
answer
#include<bits/stdc++.h>
using lint = int64_t;
using namespace std;
const int mod = 998244353;
int minv(int a, lint m){
a %= m; assert(a);
return a == 1? 1 : int(m - int64_t(minv(m, a)) * m / a);
}
template<unsigned M_> struct modnum{
static constexpr unsigned M = M_;
using ll = int64_t; using ull = uint64_t; unsigned x;
modnum& norm(unsigned a) { x = a < M ? a : a - M; return *this;}
constexpr modnum (ll a = 0U) : x(unsigned((a %= ll(M))) < 0 ? a + ll(M) : a) {}
explicit operator int () const {return x;}
modnum & operator+= (const modnum& a) { return norm(x + a.x);}
modnum & operator-= (const modnum& a) { return norm(x - a.x + M);}
modnum & operator*= (const modnum& a) { x = unsigned(ull(x)*a.x % M); return *this;}
modnum & operator/= (const modnum& a) { return (*this *= a.inv());}
modnum operator+ (const modnum& a) { return (modnum(*this) += a);}
modnum operator- (const modnum& a) { return (modnum(*this) -= a);}
modnum operator* (const modnum& a) { return (modnum(*this) *= a);}
modnum operator/ (const modnum& a) { return (modnum(*this) /= a);}
template<typename T> friend modnum operator+(T a, const modnum &b) { return (modnum(a) += b);}
template<typename T> friend modnum operator-(T a, const modnum &b) { return (modnum(a) -= b);}
template<typename T> friend modnum operator*(T a, const modnum &b) { return (modnum(a) *= b);}
template<typename T> friend modnum operator/(T a, const modnum &b) { return (modnum(a) /= b);}
modnum operator+() const {return *this;}
modnum operator-() const {return modnum() - *this;}
modnum inv() const { return minv(x, M); }
friend modnum inv(const modnum& a){return a.inv(); }
};
using num = modnum<mod>;
const int lim = 1e7 + 10;
num fac[lim], ifac[lim];
void prep(){
fac[0] = 1;
for(int i=1;i<lim;i++) fac[i] = fac[i-1] * i;
ifac[lim-1] = fac[lim-1].inv();
for(int i=lim-2;i>=0;i--) ifac[i] = ifac[i+1] * (i + 1);
}
int main(void) {
cin.tie(nullptr)->sync_with_stdio(false);
prep();
int n;
cin>>n;
num ans = 0;
for(int i=1;i<=n;i++){
if(n - i < i - 1) break;
ans += fac[n - i] * ifac[n - 2 * i + 1] * fac[n - i];
}
cout<<ans.x<<"\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 73ms
memory: 81704kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 67ms
memory: 81588kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 70ms
memory: 81548kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 67ms
memory: 81588kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 71ms
memory: 81596kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 79ms
memory: 81704kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 78ms
memory: 81596kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 67ms
memory: 81544kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 74ms
memory: 81720kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 66ms
memory: 81496kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 79ms
memory: 81592kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 71ms
memory: 81720kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 71ms
memory: 81544kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 75ms
memory: 81756kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 72ms
memory: 81720kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 84ms
memory: 81548kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 81ms
memory: 81604kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 78ms
memory: 81452kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 82ms
memory: 81652kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 78ms
memory: 81588kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 82ms
memory: 81504kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 82ms
memory: 81540kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 79ms
memory: 81596kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"