제출 #550635

#제출 시각아이디문제언어결과실행 시간메모리
550635Vladth11Calvinball championship (CEOI15_teams)C++14
0 / 100
30 ms19132 KiB
#include <bits/stdc++.h>
#define debug(x) cerr << #x << " " << x << "\n"
#define debugs(x) cerr << #x << " " << x << " "

using namespace std;
typedef long long ll;
typedef pair <int, int> pii;

const ll NMAX = 1001;
const ll VMAX = 10001;
const ll INF = (1LL << 55);
const ll MOD = 1000007;
const ll BLOCK = 1000000;
const ll base = 1000000001;
const ll nr_of_bits = 18;

int dp[NMAX][NMAX][3];
int v[NMAX];

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int n, i, j;
    cin >> n;
    for(i = 1; i <= n; i++){
        cin >> v[i];
    }
    dp[0][0][1] = 1;
    int sum = 0;
    for(i = 1; i <= n; i++){
        int act = i&1;
        int last = 1 - act;
        for(j = 1; j <= i; j++){
            dp[act][j][0] = dp[act][j][1] = dp[act][j][2] = 0;
            /// Nu deschid culoare noua
            dp[act][j][0] = (dp[last][j][0] * j) % MOD;
            dp[i][j][0] += (dp[last][j][1] * min(j, v[i] - 1)) % MOD;
            dp[act][j][0] %= MOD;
            if(j >= v[i])
                dp[act][j][1] = dp[last][j][1];
            dp[act][j][2] = (dp[last][j][2] * j) % MOD;
            dp[act][j][2] += (dp[last][j][1] * max(0, j - v[i])) % MOD;
            dp[act][j][2] %= MOD;
            /// Deschid o culoare noua
            dp[act][j][0] += dp[last][j - 1][0];
            dp[act][j][0] %= MOD;
            if(j < v[j]){
                dp[act][j][0] += dp[last][j - 1][1];
                dp[act][j][0] %= MOD;
            }
            if(j == v[i]){
                dp[act][j][1] += dp[last][j - 1][1];
                dp[act][j][1] %= MOD;
            }
            dp[act][j][2] += dp[last][j - 1][2];
            dp[act][j][2] %= MOD;
            if(j > v[i]){
                dp[act][j][2] += dp[last][j - 1][1] % MOD;
                dp[act][j][2] %= MOD;
            }
            if(i == n){
                sum += dp[act][j][0];
                sum %= MOD;
            }
        }
    }
    cout << sum + 1;

    return 0;
}
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