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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
#956736#8721. 括号序列Andyqian7WA 8ms17328kbC++174.6kb2025-03-29 22:20:502025-03-29 22:20:51

Judging History

This is the latest submission verdict.

  • [2025-03-29 22:20:51]
  • Judged
  • Verdict: WA
  • Time: 8ms
  • Memory: 17328kb
  • [2025-03-29 22:20:50]
  • Submitted

answer

#include <bits/stdc++.h>
#define ll long long
#define poly vector<int>
using namespace std;
const int N = 1e6 + 10, P = 998244353;
inline int ksm(int a, int b, int mod)
{
    int z = 1;
    while (b)
    {
        if (b & 1)
            z = 1ll * z * a % mod;
        a = 1ll * a * a % mod;
        b >>= 1;
    }
    return z;
}
namespace Poly
{
    const int mod = 998244353, g = 3, invg = 332748118;
    int lim, len, rev[N], invlim;
    inline void init(int l1, int l2)
    {
        lim = 1, len = 0;
        while (lim <= l1 + l2)
            lim <<= 1, len++;
        for (int i = 0; i < lim; i++)
            rev[i] = (rev[i >> 1] >> 1) | ((i & 1) << (len - 1));
        invlim = ksm(lim, mod - 2, mod);
    }
    inline void NTT(poly &f, int tgpe)
    {
        for (int i = 0; i < lim; i++)
            if (i < rev[i])
                swap(f[i], f[rev[i]]);
        for (int m = 2; m <= lim; m <<= 1)
        {
            int wn = ksm(tgpe ? g : invg, (mod - 1) / m, mod);
            for (int i = 0; i < lim; i += m)
            {
                int w = 1;
                for (int j = 0; j < m / 2; j++)
                {
                    int u = f[i + j], v = 1ll * w * f[i + j + m / 2] % mod;
                    f[i + j] = (u + v >= mod ? u + v - mod : u + v), f[i + j + m / 2] = (u - v + mod >= mod ? u - v : u - v + mod);
                    w = 1ll * wn * w % mod;
                }
            }
        }
        if (!tgpe)
        {
            for (int i = 0; i < lim; i++)
                f[i] = 1ll * f[i] * invlim % mod;
        }
    }
    inline void mul(poly &f, poly g)
    {
        int lf = f.size(), lg = g.size();
        init(lf, lg);
        f.resize(lim), g.resize(lim);
        NTT(f, 1);
        NTT(g, 1);
        for (int i = 0; i < lim; i++)
            f[i] = 1ll * f[i] * g[i] % mod;
        NTT(f, 0);
    }
}
int n;
poly f;
poly A, B;
int fac[N], ifac[N], inv[N];
void cdq(int l, int r)
{
    if (l == r)
    {
        if (!l)
            f[l] = 1;
        return;
    }
    int mid = l + r >> 1;
    cdq(l, mid);
    if (!l)
    {
        A.resize(mid - l + 1);
        B.resize(mid - l + 1);
        for (int i = l; i <= mid; i++)
            A[i - l] = 1ll * f[i] * i % P;
        for (int i = l; i <= mid; i++)
            B[i] = f[i];
        int la = A.size(), lb = B.size();
        Poly::init(la, lb);
        A.resize(Poly::lim), B.resize(Poly::lim);
        Poly::NTT(A, 1), Poly::NTT(B, 1);
        for (int i = 0; i < Poly::lim; i++)
        {
            A[i] = 1ll * A[i] % P * B[i] % P;
            B[i] = 1ll * B[i] * B[i] % P * B[i] % P;
        }
        Poly::NTT(A, 0), Poly::NTT(B, 0);
        for (int i = mid + 1; i <= r; i++)
            f[i] = (f[i] + 1ll * (A[i - l - 1] + B[i - l - 1]) * inv[i]) % P;
    }
    else
    {
        A.resize(mid - l + 1);
        B.resize(r - l + 1);
        for (int i = l; i <= mid; i++)
            A[i - l] = 1ll * f[i] * i % P;
        for (int i = l; i <= r; i++)
            B[i] = f[i];
        int la = A.size(), lb = B.size();
        Poly::init(la, lb);
        A.resize(Poly::lim), B.resize(Poly::lim);
        Poly::NTT(A, 1), Poly::NTT(B, 1);
        for (int i = 0; i < Poly::lim; i++)
        {
            A[i] = 1ll * A[i] % P * B[i] % P;
            B[i] = 1ll * B[i] * B[i] % P * B[i] % P;
        }
        Poly::NTT(A, 0), Poly::NTT(B, 0);
        for (int i = mid + 1; i <= r; i++)
            f[i] = (f[i] + 1ll * (A[i - l - 1] + B[i - l - 1]) * inv[i]) % P;
        A.resize(mid - l + 1);
        B.resize(r - l + 1);
        for (int i = l; i <= mid; i++)
            A[i - l] = 1ll * i * f[i];
        for (int i = l; i <= r; i++)
            B[i] = f[i];
        la = A.size(), lb = B.size();
        Poly::init(la, lb);
        A.resize(Poly::lim), B.resize(Poly::lim);
        Poly::NTT(A, 1), Poly::NTT(B, 1);
        for (int i = 0; i < Poly::lim; i++)
        {
            A[i] = 1ll * A[i] % P * B[i] % P;
            B[i] = 1ll * B[i] * B[i] % P * B[i] % P;
        }
        Poly::NTT(A, 0), Poly::NTT(B, 0);
        for (int i = mid + 1; i <= r; i++)
            f[i] = (f[i] + 1ll * (A[i - l - 1] + B[i - l - 1]) * inv[i]) % P;
    }
    cdq(mid + 1, r);
}
int main()
{
    fac[0] = fac[1] = inv[1] = ifac[0] = ifac[1] = 1;
    for (int i = 2; i < N; i++)
    {
        fac[i] = 1ll * fac[i - 1] * i % P;
        inv[i] = 1ll * (P - P / i) * inv[P % i] % P;
        ifac[i] = 1ll * ifac[i - 1] * inv[i] % P;
    }
    scanf("%d", &n);
    f.resize(n + 1);
    cdq(0, n);
    printf("%d", 1ll * f[n] * fac[n] % P);
}

詳細信息

Test #1:

score: 100
Accepted
time: 8ms
memory: 17328kb

input:

3

output:

28

result:

ok 1 number(s): "28"

Test #2:

score: 0
Accepted
time: 7ms
memory: 15520kb

input:

1

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 7ms
memory: 16300kb

input:

2

output:

4

result:

ok 1 number(s): "4"

Test #4:

score: -100
Wrong Answer
time: 7ms
memory: 15928kb

input:

4

output:

294

result:

wrong answer 1st numbers differ - expected: '282', found: '294'