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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 |
---|---|---|---|---|---|---|---|---|---|
#128631 | #6736. Alice and Bob | ckiseki# | AC ✓ | 120ms | 120828kb | C++20 | 1.5kb | 2023-07-21 14:14:51 | 2023-07-21 14:14:54 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define all(x) begin(x), end(x)
#ifdef CKISEKI
#define safe cerr << __PRETTY_FUNCTION__ << " line " << __LINE__ << " safe\n"
#define debug(a...) debug_(#a, a)
#define orange(a...) orange_(#a, a)
template <typename ...T>
void debug_(const char *s, T ...a) {
cerr << "\e[1;32m(" << s << ") = (";
int cnt = sizeof...(T);
(..., (cerr << a << (--cnt ? ", " : ")\e[0m\n")));
}
template <typename I>
void orange_(const char *s, I L, I R) {
cerr << "\e[1;32m[ " << s << " ] = [";
while (L != R) cerr << " " << *L++;
cerr << " ]\e[0m\n";
}
#else
#define safe ((void)0)
#define debug(...) safe
#define orange(...) safe
#endif
constexpr int mod = 998244353;
constexpr int add(int a, int b) {
return a + b >= mod ? a + b - mod : a + b;
}
constexpr int mul(int64_t a, int64_t b) {
return static_cast<int>(a * b % mod);
}
const int maxn = 10000007;
int inv[maxn], fac[maxn], ifac[maxn];
int C(int n, int k) {
if (k < 0 || n < k) return 0;
return mul(fac[n], mul(ifac[k], ifac[n - k]));
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
inv[1] = 1;
for (int i = 2; i < maxn; i++)
inv[i] = mul(inv[mod % i], mod - mod / i);
fac[0] = ifac[0] = 1;
for (int i = 1; i < maxn; i++)
fac[i] = mul(fac[i-1], i), ifac[i] = mul(ifac[i-1], inv[i]);
int n;
cin >> n;
int ans = 0;
for (int i = 1; i <= (n + 1) / 2; i++) {
ans = add(ans, mul(C(n - i, i - 1), mul(fac[i - 1], fac[n - i])));
}
cout << ans << '\n';
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 108ms
memory: 120824kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 112ms
memory: 120656kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 114ms
memory: 120824kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 115ms
memory: 120828kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 84ms
memory: 120560kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 87ms
memory: 120656kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 92ms
memory: 120664kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 97ms
memory: 120652kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 97ms
memory: 120612kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 110ms
memory: 120644kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 95ms
memory: 120784kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 97ms
memory: 120784kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 95ms
memory: 120652kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 100ms
memory: 120824kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 119ms
memory: 120672kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 120ms
memory: 120820kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 108ms
memory: 120820kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 99ms
memory: 120820kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 109ms
memory: 120764kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 91ms
memory: 120824kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 114ms
memory: 120668kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 107ms
memory: 120568kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 115ms
memory: 120824kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"