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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#409682 | #6736. Alice and Bob | zouyua# | AC ✓ | 124ms | 159900kb | C++23 | 1.1kb | 2024-05-12 15:26:57 | 2024-05-12 15:26:58 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define int long long
const int mod = 998244353;
const int N = 10000010;
typedef long long ll;
typedef pair<int, int> PII;
ll fac[N], inv[N];
ll fastpow(ll a, ll n){
ll base = a, res = 1;
while(n){
if(n & 1) res = (res * base) % mod;
base = (base * base) % mod;
n >>= 1;
}
return res;
}
ll Inv(ll a){
return fastpow(a, mod - 2);
}
ll C(ll n, ll m){
if(n < 0 || m < 0 || n < m) return 0;
return fac[n] * inv[m] % mod * inv[n - m] % mod;
}
void init(ll n){
fac[0] = 1;
for(int i = 1; i <= n; i ++) fac[i] = (i * fac[i - 1]) % mod;
inv[n] = Inv(fac[n]);
for(int i = n - 1; i >= 0; i --) inv[i] = inv[i + 1] * (i + 1) % mod;
}
void solve(){
int n ; cin >> n;
int res = fac[n - 1];
for(int i = n - 2; i >= n / 2 ;i --)
{
int t = 0;
t= fac[i] * fac[n - i - 1];
t %= mod;
t *= C(i, n - i - 1);
res += t;
res %= mod;
}
cout << res % mod << endl;
}
signed main(){
ios::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
init(N - 10);
int t = 1;
while(t --){
solve();
}
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 60ms
memory: 159856kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 76ms
memory: 159744kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 85ms
memory: 159844kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 68ms
memory: 159820kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 80ms
memory: 159792kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 92ms
memory: 159836kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 68ms
memory: 159828kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 93ms
memory: 159800kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 60ms
memory: 159840kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 88ms
memory: 159800kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 88ms
memory: 159836kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 64ms
memory: 159836kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 39ms
memory: 159848kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 87ms
memory: 159752kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 112ms
memory: 159840kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 91ms
memory: 159756kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 97ms
memory: 159900kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 93ms
memory: 159820kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 104ms
memory: 159884kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 59ms
memory: 159752kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 106ms
memory: 159836kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 124ms
memory: 159880kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 80ms
memory: 159820kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"