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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
#406248#6736. Alice and BobguggAC ✓102ms159908kbC++202.7kb2024-05-06 23:20:262024-05-06 23:20:27

Judging History

你现在查看的是最新测评结果

  • [2024-05-06 23:20:27]
  • 评测
  • 测评结果:AC
  • 用时:102ms
  • 内存:159908kb
  • [2024-05-06 23:20:26]
  • 提交

answer

#include <iostream>
#include <algorithm>
#include <cstring>
#include <vector>
#include <queue>
#include <unordered_map>
#include <unordered_set>
#include <map>
#include <set>
#include <cmath>
#include <bitset>
#include <cassert>
#include <numeric>

using namespace std;
typedef long long ll;

constexpr int P = 998244353;
// assume -P <= x < 2P
ll norm(ll x) {
    if (x < 0) {
        x += P;
    }
    if (x >= P) {
        x -= P;
    }
    return x;
}
template<class T>
T power(T a, int b) {
    T res = 1;
    for (; b; b /= 2, a *= a) {
        if (b % 2) {
            res *= a;
        }
    }
    return res;
}
struct Z {
    ll x;
    Z(ll x = 0) : x(norm(x% P)) {}
    ll val() const {
        return x;
    }
    Z operator-() const {
        return Z(norm(P - x));
    }
    Z inv() const {
        assert(x != 0);
        return power(*this, P - 2);
    }
    Z& operator*=(const Z& rhs) {
        x = x * rhs.x % P;
        return *this;
    }
    Z& operator+=(const Z& rhs) {
        x = norm(x + rhs.x);
        return *this;
    }
    Z& operator-=(const Z& rhs) {
        x = norm(x - rhs.x);
        return *this;
    }
    Z& operator/=(const Z& rhs) {
        return *this *= rhs.inv();
    }
    friend Z operator*(const Z& lhs, const Z& rhs) {
        Z res = lhs;
        res *= rhs;
        return res;
    }
    friend Z operator+(const Z& lhs, const Z& rhs) {
        Z res = lhs;
        res += rhs;
        return res;
    }
    friend Z operator-(const Z& lhs, const Z& rhs) {
        Z res = lhs;
        res -= rhs;
        return res;
    }
    friend Z operator/(const Z& lhs, const Z& rhs) {
        Z res = lhs;
        res /= rhs;
        return res;
    }
    friend std::istream& operator>>(std::istream& is, Z& a) {
        ll v;
        is >> v;
        a = Z(v);
        return is;
    }
    friend std::ostream& operator<<(std::ostream& os, const Z& a) {
        return os << a.val();
    }
};

const int N = 10000010;

Z fact[N], infact[N];

void init()
{
    fact[0] = infact[0] = 1;
    for (int i = 1; i < N; i ++ )
        fact[i] = fact[i - 1] * i;

    infact[N - 1] = fact[N - 1].inv();
    for (int i = N - 2; i >= 1; i --)
        infact[i] = infact[i + 1] * (i + 1);

}
 
Z A(int a, int b)
{
    return fact[a] * infact[a - b];
}

void solve()
{
    int n;
    cin >> n;
    Z ans = 0;
    for (int i = 1; i <= n; i ++)
    {
        if (n - i < i - 1) break;
        ans += A(n - i, i - 1) * fact[n - i];
    }
    cout << ans << '\n';
}

int main()
{
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);

    init();
    int tt = 1;
    // cin >> tt;
    while (tt --)
    {
        solve();
    }
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 95ms
memory: 159900kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 86ms
memory: 159868kb

input:

2

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 93ms
memory: 159904kb

input:

10

output:

997920

result:

ok 1 number(s): "997920"

Test #4:

score: 0
Accepted
time: 87ms
memory: 159808kb

input:

100

output:

188898954

result:

ok 1 number(s): "188898954"

Test #5:

score: 0
Accepted
time: 87ms
memory: 159876kb

input:

4

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 84ms
memory: 159768kb

input:

8

output:

12336

result:

ok 1 number(s): "12336"

Test #7:

score: 0
Accepted
time: 91ms
memory: 159840kb

input:

16

output:

373118483

result:

ok 1 number(s): "373118483"

Test #8:

score: 0
Accepted
time: 88ms
memory: 159772kb

input:

32

output:

314585464

result:

ok 1 number(s): "314585464"

Test #9:

score: 0
Accepted
time: 91ms
memory: 159852kb

input:

64

output:

627827331

result:

ok 1 number(s): "627827331"

Test #10:

score: 0
Accepted
time: 81ms
memory: 159812kb

input:

128

output:

828497685

result:

ok 1 number(s): "828497685"

Test #11:

score: 0
Accepted
time: 93ms
memory: 159864kb

input:

256

output:

65697890

result:

ok 1 number(s): "65697890"

Test #12:

score: 0
Accepted
time: 88ms
memory: 159904kb

input:

512

output:

854187619

result:

ok 1 number(s): "854187619"

Test #13:

score: 0
Accepted
time: 87ms
memory: 159840kb

input:

1024

output:

513823539

result:

ok 1 number(s): "513823539"

Test #14:

score: 0
Accepted
time: 91ms
memory: 159868kb

input:

1361956

output:

617368199

result:

ok 1 number(s): "617368199"

Test #15:

score: 0
Accepted
time: 102ms
memory: 159904kb

input:

7579013

output:

827172636

result:

ok 1 number(s): "827172636"

Test #16:

score: 0
Accepted
time: 99ms
memory: 159772kb

input:

8145517

output:

710624331

result:

ok 1 number(s): "710624331"

Test #17:

score: 0
Accepted
time: 94ms
memory: 159812kb

input:

6140463

output:

707600568

result:

ok 1 number(s): "707600568"

Test #18:

score: 0
Accepted
time: 90ms
memory: 159840kb

input:

3515281

output:

698302413

result:

ok 1 number(s): "698302413"

Test #19:

score: 0
Accepted
time: 100ms
memory: 159900kb

input:

6969586

output:

69470392

result:

ok 1 number(s): "69470392"

Test #20:

score: 0
Accepted
time: 92ms
memory: 159804kb

input:

2888636

output:

433579983

result:

ok 1 number(s): "433579983"

Test #21:

score: 0
Accepted
time: 100ms
memory: 159856kb

input:

9999998

output:

758172780

result:

ok 1 number(s): "758172780"

Test #22:

score: 0
Accepted
time: 100ms
memory: 159908kb

input:

9999999

output:

605195495

result:

ok 1 number(s): "605195495"

Test #23:

score: 0
Accepted
time: 94ms
memory: 159876kb

input:

10000000

output:

866813682

result:

ok 1 number(s): "866813682"