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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 |
---|---|---|---|---|---|---|---|---|---|
#218510 | #6736. Alice and Bob | Fr1nGeLove# | TL | 867ms | 130716kb | C++20 | 1009b | 2023-10-18 14:18:30 | 2023-10-18 14:18:31 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
constexpr int N = 1E7 + 10, mod = 998244353;
i64 fac[N], invfac[N];
i64 qmi(i64 a, i64 b) {
i64 res = 1;
while (b) {
if (b & 1) {
res = (res * a) % mod;
}
a = (a * a) % mod;
b >>= 1;
}
return res;
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int n;
cin >> n;
fac[0] = invfac[0] = 1;
for (i64 i = 1; i <= n; ++i) {
fac[i] = (fac[i - 1] * i) % mod;
invfac[i] = (invfac[i - 1] * qmi(i, mod - 2)) % mod;
}
// for (int i = 0; i <= 10; ++i) {
// for (int j = 0; j <= i; ++j) {
// cout << (fac[i] * invfac[j]) % mod << " ";
// }
// cout << "\n";
// }
i64 ans = 0;
for (int i = 1; i <= n; ++i) {
if (i - 1 > n - i) break;
i64 t;
if (i - 1 == 0) {
t = fac[n - i];
} else {
t = ((fac[n - i] * invfac[n - 2 * i + 1] % mod) * (fac[n - i])) % mod;
}
ans = (ans + t) % mod;
}
cout << ans << "\n";
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 3436kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3440kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3380kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3400kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3440kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3572kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3340kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 1ms
memory: 3436kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 1ms
memory: 3500kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 1ms
memory: 3424kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 1ms
memory: 3568kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 1ms
memory: 3412kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 157ms
memory: 24728kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 833ms
memory: 121864kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 867ms
memory: 130716kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 666ms
memory: 99324kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 381ms
memory: 58480kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 763ms
memory: 112272kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 328ms
memory: 48704kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: -100
Time Limit Exceeded
input:
9999998
output:
758172780