QOJ.ac
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 |
---|---|---|---|---|---|---|---|---|---|
#361961 | #6736. Alice and Bob | Susie_Rain# | AC ✓ | 120ms | 159928kb | C++20 | 1.1kb | 2024-03-23 13:44:10 | 2024-03-23 13:44:12 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MOD = 998244353;
const int N = 1e7 + 1;
ll qpow(ll a,ll k){
ll res = 1;
while (k){
if(k&1) res = res * a % MOD;
a = a * a % MOD;
k >>= 1;
}
return res;
}
ll fac[N] , infac[N];
void init(int N){
fac[1] = 1 ;
for(int i=2;i<N;i++){
fac[i] = ( 1ll*fac[i-1] * i + MOD ) % MOD ;
}
fac[0] = 1 , infac[0] = 1 ;
infac[N-1] = qpow(fac[N-1],MOD-2);
for(int i=N-2;i>=1;i--){
infac[i] = 1ll*(i+1)*infac[i+1]%MOD ;
}
}
int C(int a,int b){
if(b==0) return 1;
if(a < b) return 0;
return 1ll*fac[a]*infac[b]%MOD*infac[a-b]%MOD;
}
void solve(){
int n;
cin >> n;
init(n+1);
ll ans = 0;
for(int i=1;i<=n;i++){
if(2*i > n + 1) break;
ans += C(n-i,i-1) * fac[n-i] % MOD * fac[i-1] % MOD;
ans %= MOD;
}
cout << ans << '\n';
}
signed main(){
ios::sync_with_stdio(false);
cin.tie(0);
int tt = 1;
// cout << 997920 * 4 << '\n';
// cin >> tt;
while (tt--) solve();
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 5596kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 0ms
memory: 5596kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5664kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5696kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 1ms
memory: 5704kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 1ms
memory: 5612kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 1ms
memory: 5692kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 1ms
memory: 5660kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 0ms
memory: 5752kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 1ms
memory: 5612kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 1ms
memory: 5656kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 1ms
memory: 5752kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 0ms
memory: 5760kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 20ms
memory: 27360kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 90ms
memory: 125288kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 98ms
memory: 133652kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 78ms
memory: 101032kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 33ms
memory: 60300kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 86ms
memory: 114488kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 16ms
memory: 52460kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 114ms
memory: 159896kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 119ms
memory: 159928kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 120ms
memory: 159852kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"