QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#362967 | #6736. Alice and Bob | Urtusea | AC ✓ | 134ms | 159924kb | C++23 | 2.0kb | 2024-03-23 17:44:20 | 2024-03-23 17:44:22 |
Judging History
answer
// #define _FILE_IO_
// #define _MULTI_TEST_
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/trie_policy.hpp>
using namespace std;
template <typename T>
using asc_queue = std::priority_queue<T, std::vector<T>, std::greater<T>>;
template <typename T>
using des_queue = std::priority_queue<T, std::vector<T>, std::less<T>>;
template <typename key_type>
using order_set = __gnu_pbds::tree<
key_type, __gnu_pbds::null_type, std::less<key_type>,
__gnu_pbds::rb_tree_tag,
__gnu_pbds::tree_order_statistics_node_update
>;
template <typename key_type, typename value_type>
using order_map = __gnu_pbds::tree<
key_type, value_type, std::less<key_type>,
__gnu_pbds::rb_tree_tag,
__gnu_pbds::tree_order_statistics_node_update
>;
using Int = long long;
using pii = pair<int, int>;
using pII = pair<Int, Int>;
constexpr Int mod = 998244353;
Int fac[10000001], inv[10000001];
Int quick_pow(Int a, Int b = mod - 2) {
Int res = 1;
while (b) {
if (b & 1) res = (res * a) % mod;
a = (a * a) % mod, b >>= 1;
}
return res;
}
void solve()
{
Int n; cin >> n;
fac[0] = inv[0] = 1;
for (int i = 1; i <= n; i++) fac[i] = fac[i - 1] * i % mod;
inv[n] = quick_pow(fac[n]);
for (int i = n - 1; i >= 1; i--) inv[i] = inv[i + 1] * (i + 1) % mod;
auto C = [&](int n, int m)->Int {
return fac[n] * inv[m] % mod * inv[n - m] % mod;
};
Int ans = 0;
for (int i = 1; i + i - 1 <= n; i++) {
ans = (ans + C(n - i, i - 1) * fac[i - 1] % mod * fac[n - i] % mod) % mod;
}
cout << ans << '\n';
}
int main(const int argc, const char *argv[], const char *envp[])
{
cin.tie(nullptr)->ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
#ifdef _FILE_IO_
freopen("a.in", "r", stdin);
freopen("a.out", "w", stdout);
#endif
int test_case = 1;
#ifdef _MULTI_TEST_
cin >> test_case;
#endif
while (test_case--) solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 5636kb
input:
1
output:
1
result:
ok 1 number(s): "1"
Test #2:
score: 0
Accepted
time: 1ms
memory: 5776kb
input:
2
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 5712kb
input:
10
output:
997920
result:
ok 1 number(s): "997920"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5728kb
input:
100
output:
188898954
result:
ok 1 number(s): "188898954"
Test #5:
score: 0
Accepted
time: 1ms
memory: 5652kb
input:
4
output:
10
result:
ok 1 number(s): "10"
Test #6:
score: 0
Accepted
time: 1ms
memory: 5768kb
input:
8
output:
12336
result:
ok 1 number(s): "12336"
Test #7:
score: 0
Accepted
time: 0ms
memory: 5724kb
input:
16
output:
373118483
result:
ok 1 number(s): "373118483"
Test #8:
score: 0
Accepted
time: 0ms
memory: 5644kb
input:
32
output:
314585464
result:
ok 1 number(s): "314585464"
Test #9:
score: 0
Accepted
time: 0ms
memory: 5716kb
input:
64
output:
627827331
result:
ok 1 number(s): "627827331"
Test #10:
score: 0
Accepted
time: 0ms
memory: 5764kb
input:
128
output:
828497685
result:
ok 1 number(s): "828497685"
Test #11:
score: 0
Accepted
time: 0ms
memory: 5784kb
input:
256
output:
65697890
result:
ok 1 number(s): "65697890"
Test #12:
score: 0
Accepted
time: 1ms
memory: 5676kb
input:
512
output:
854187619
result:
ok 1 number(s): "854187619"
Test #13:
score: 0
Accepted
time: 1ms
memory: 5732kb
input:
1024
output:
513823539
result:
ok 1 number(s): "513823539"
Test #14:
score: 0
Accepted
time: 20ms
memory: 28004kb
input:
1361956
output:
617368199
result:
ok 1 number(s): "617368199"
Test #15:
score: 0
Accepted
time: 78ms
memory: 125312kb
input:
7579013
output:
827172636
result:
ok 1 number(s): "827172636"
Test #16:
score: 0
Accepted
time: 73ms
memory: 135112kb
input:
8145517
output:
710624331
result:
ok 1 number(s): "710624331"
Test #17:
score: 0
Accepted
time: 86ms
memory: 104384kb
input:
6140463
output:
707600568
result:
ok 1 number(s): "707600568"
Test #18:
score: 0
Accepted
time: 29ms
memory: 63724kb
input:
3515281
output:
698302413
result:
ok 1 number(s): "698302413"
Test #19:
score: 0
Accepted
time: 78ms
memory: 115516kb
input:
6969586
output:
69470392
result:
ok 1 number(s): "69470392"
Test #20:
score: 0
Accepted
time: 38ms
memory: 52384kb
input:
2888636
output:
433579983
result:
ok 1 number(s): "433579983"
Test #21:
score: 0
Accepted
time: 123ms
memory: 159852kb
input:
9999998
output:
758172780
result:
ok 1 number(s): "758172780"
Test #22:
score: 0
Accepted
time: 131ms
memory: 159924kb
input:
9999999
output:
605195495
result:
ok 1 number(s): "605195495"
Test #23:
score: 0
Accepted
time: 134ms
memory: 159844kb
input:
10000000
output:
866813682
result:
ok 1 number(s): "866813682"