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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 |
---|---|---|---|---|---|---|---|---|---|
#364586 | #6736. Alice and Bob | Atmizz# | AC ✓ | 184ms | 237680kb | C++20 | 1002b | 2024-03-24 15:27:02 | 2024-03-24 15:27:02 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int mod = 998244353;
typedef long long LL;
#define int long long
const int N = 1e7 + 20;
const int M = 1e7;
LL fac[N], inFac[N];
LL qmi(LL a, LL b) {
LL sum = 1;
while(b) {
if(b & 1LL) {
sum = sum * a % mod;
}
b >>= 1LL; a = a * a % mod;
}
return sum % mod;
}
LL C(LL n, LL m) {
if(n < m) {
return 0;
}
return fac[n] * inFac[m] % mod * inFac[n-m] % mod;
}
signed main()
{
int n;
cin >> n;
fac[0] = 1;
for(int i = 1; i <= n; ++ i) {
fac[i] = fac[i-1] * i % mod;
}
inFac[n] = qmi(fac[n], mod - 2);
for(int i = n - 1; i >= 0; -- i) {
inFac[i] = inFac[i+1] * (i + 1) % mod;
}
vector<LL> s(n+10);
s[0]=1;
for(int i=1;i<=n;i++) s[i]=s[i-1]*i%mod;
int sum=0;
for(int x=1;x<=n;x++){
sum=(sum+C(n-x,x-1)*s[n-x]%mod*s[x-1]%mod)%mod;
}
while(sum < 0) {
sum += mod;
}
cout<<(sum+mod)%mod<<endl;
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 5640kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 1ms
memory: 5872kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5592kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5640kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 1ms
memory: 5584kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 1ms
memory: 5632kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 1ms
memory: 5636kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 1ms
memory: 5548kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 1ms
memory: 5576kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 1ms
memory: 5660kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 1ms
memory: 5572kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 1ms
memory: 5836kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 1ms
memory: 5676kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 24ms
memory: 37204kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 113ms
memory: 184996kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 145ms
memory: 196684kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 78ms
memory: 148948kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 49ms
memory: 89116kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 113ms
memory: 171396kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 49ms
memory: 74688kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 143ms
memory: 237668kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 168ms
memory: 237680kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 184ms
memory: 237444kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"