Submission #65326

#TimeUsernameProblemLanguageResultExecution timeMemory
65326bazsi700Calvinball championship (CEOI15_teams)C++14
40 / 100
359 ms1004 KiB
#include <bits/stdc++.h>

using namespace std;
#define MOD 1000007
#define ll long long int

ll dp[10005];
ll dp2[10005];

void calc() {
    for(ll i = 1; i <= 10000; i++) {
        dp2[i] = (dp[i+1]+dp[i]*i)%MOD;
    }
    for(int i = 1; i <= 10000; i++) {
        dp[i] = dp2[i];
    }
}

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);
    int n;
    cin >> n;
    vector<ll> arr(n);
    vector<int> cnt(n+1,0);
    for(int i = 0; i < n; i++) {
        dp[i] = 1;
        cin >> arr[i];
        cnt[arr[i]]++;
    }
    dp[n] = 1;
    ll ans = 1;
    for(ll i = n-1; i >= 0; i--) {
        if(arr[i] > 1) {
            if(cnt[arr[i]] == 1) {
                ans+= ((arr[i]-1)*dp[arr[i]-1])%MOD;
            } else {
                ans+= ((arr[i]-1)*dp[arr[i]])%MOD;
            }
        }
        calc();
        cnt[arr[i]]--;
    }
    cout << ans%MOD;
    return 0;
}
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