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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#362967#6736. Alice and BobUrtuseaAC ✓134ms159924kbC++232.0kb2024-03-23 17:44:202024-03-23 17:44:22

Judging History

你现在查看的是最新测评结果

  • [2024-03-23 17:44:22]
  • 评测
  • 测评结果:AC
  • 用时:134ms
  • 内存:159924kb
  • [2024-03-23 17:44:20]
  • 提交

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"