제출 #996150

#제출 시각아이디문제언어결과실행 시간메모리
996150LOLOLOZapina (COCI20_zapina)C++14
110 / 110
366 ms2648 KiB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
 
#define           f     first
#define           s     second
#define           pb    push_back
#define           ep    emplace
#define           eb    emplace_back
#define           lb    lower_bound
#define           ub    upper_bound
#define       all(x)    x.begin(), x.end()
#define      rall(x)    x.rbegin(), x.rend()
#define   uniquev(v)    sort(all(v)), (v).resize(unique(all(v)) - (v).begin())
#define     mem(f,x)    memset(f , x , sizeof(f))
#define        sz(x)    (ll)(x).size()
#define  __lcm(a, b)    (1ll * ((a) / __gcd((a), (b))) * (b))
#define          mxx    *max_element
#define          mnn    *min_element
#define    cntbit(x)    __builtin_popcountll(x)
#define       len(x)    (int)(x.length())
 
ll mod = 1e9 + 7;
const int N = 355;
int dp[N][N][2];
ll c[N][N];

ll cal(int x, int y) {
    if (x > y)
        return 0;

    if (x == 0)
        return 1;

    if (c[x][y] != -1)
        return c[x][y];

    return c[x][y] = (cal(x, y - 1) + cal(x - 1, y - 1)) % mod;
}

ll dq(int id, int ss, int is) {
    if (id == 0) {
        return is && (ss == 0);
    }

    if (dp[id][ss][is] != -1) {
        return dp[id][ss][is];
    }

    ll ans = 0;
    for (int j = 0; j <= ss; j++) {
        ll cc = dq(id - 1, ss - j, (j == id) || is) * cal(j, ss) % mod;
        ans += cc;
        ans %= mod;
    }

    return dp[id][ss][is] = ans;
}

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

    mem(c, -1);
    mem(dp, -1);

    int n;
    cin >> n;

    cout << dq(n, n, 0) << '\n';
    return 0;
}
 
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