제출 #873324

#제출 시각아이디문제언어결과실행 시간메모리
873324bobbilykingCalvinball championship (CEOI15_teams)C++17
10 / 100
271 ms1044 KiB
#pragma GCC target ("avx2")
#pragma GCC optimize ("O3")
#pragma GCC optimize ("unroll-loops")

#include<bits/stdc++.h>
#include<math.h>
using namespace std;

typedef long long int ll;
typedef long double ld;
typedef pair<ll, ll> pl;

#define K first
#define V second
#define G(x) ll x; cin >> x;
#define GD(x) ld x; cin >> x;
#define GS(s) string s; cin >> s;
#define EX(x) { cout << x << '\n'; exit(0); }
#define A(a) (a).begin(), (a).end()
#define F(i, l, r) for (ll i = (l); i < r; ++i)

#define NN 10010
#define M 1000007 // 998244353


ll f[NN*2], fi[NN*2];
constexpr ll bpow(ll b, ll e) {
	ll r = 1; for (; e; e/=2) {
		if (e&1) r=r*b%M;
		b=b*b%M;
	} 
	return r;
}
constexpr ll inv(ll b) {
	return bpow(b, M-2);
}

ll ncr(ll n, ll k) {
    if (min(n, k) < 0) return 0;
    if (n < k) return 0;
    if (n == k || k == 0) return 1;
return f[n] * fi[n-k]%M * fi[k]%M;
}

ll dp[NN];

int main(){
//    freopen("a.in", "r", stdin);
//    freopen("a.out", "w", stdout);

    ios_base::sync_with_stdio(false); cin.tie(0);
    cout << fixed << setprecision(20);
    

	f[0] = 1;
	F(i, 1, 2*NN) f[i] = f[i-1]*i%M;
	F(i, 0, 2*NN) fi[i] = inv(f[i]);

    dp[0] = 1;
    F(i, 1, NN) {
        F(k, 1, i+1) dp[i] += dp[i-k] * ncr(i-1, k-1)%M;
        dp[i]%=M;
    }
    // F(i, 0, 10) {
    //     cout << i << ": " << dp[i] << endl;
    // }
    ll answer = 1;
    G(n) for (ll left = n; left >= 1; --left) {
        G(x)
        answer = (answer + (x-1) * dp[left])%M;
    }
    cout << answer << '\n';

    
}
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