제출 #229236

#제출 시각아이디문제언어결과실행 시간메모리
229236VEGAnnZapina (COCI20_zapina)C++14
110 / 110
182 ms2248 KiB
#include <bits/stdc++.h>
#define sz(x) ((int)x.size())
#define pii pair<int,int>
#define ft first
#define sd second
#define all(x) x.begin(),x.end()
#define PB push_back
#define MP make_pair
using namespace std;
typedef long long ll;
const int md = int(1e9) + 7;
const int N = 410;
const int PW = 20;
int f[N][N][2], c[N][N], n;

int sum(int x, int y){
    x += y;
    if (x >= md)
        x -= md;
    return x;
}

int mult(int x, int y) { return (1ll * x * y) % md;}

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);

//    freopen("in.txt","r",stdin);

    cin >> n;

    c[0][0] = 1;

    for (int i = 1; i <= n; i++){
        c[i][0] = c[i][i] = 1;

        for (int j = 1; j < i; j++)
            c[i][j] = sum(c[i - 1][j], c[i - 1][j - 1]);
    }

    f[0][n][0] = 1;

    for (int i = 0; i < n; i++)
    for (int ost = 0; ost <= n; ost++)
    for (int tp = 0; tp < 2; tp++){
        if (f[i][ost][tp] == 0) continue;

        for (int nw = 0; nw <= ost; nw++){
            int ni = i + 1, nost = ost - nw, ntp = tp;

            if (nw == ni)
                ntp = 1;

            f[ni][nost][ntp] = sum(f[ni][nost][ntp], mult(f[i][ost][tp], c[ost][nw]));
        }
    }

    cout << f[n][0][1];

    return 0;
}
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