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Submission #953173

# Submission time Handle Problem Language Result Execution time Memory
953173 2024-03-25T15:21:48 Z Deepesson Skyscraper (JOI16_skyscraper) C++17
100 / 100
 63 ms 77652 KB 
#include <bits/stdc++.h>
#define MAX 105
int tab[MAX][MAX][1005][3];
bool existe[MAX][MAX][1005][3];
using ll = long long;
ll MOD = 1e9+7;
std::vector<int> alturas;
ll N,L;
ll dp(ll cur,ll conjs,ll soma,ll bordas){
    if(soma>L)return 0;
    if(cur==N){
        if(conjs==1&&!bordas){
            return 1;
        }
        return 0;
    }
    if(existe[cur][conjs][soma][bordas])return tab[cur][conjs][soma][bordas];
    existe[cur][conjs][soma][bordas]=1;
    ll num_lados = 2*conjs-(2-bordas);
    ll custo=0;
    if(cur){
        custo=alturas[cur]-alturas[cur-1];
    }
    ll custo_adicional = custo*num_lados;
    ll cur1 = 0,cur2=0,cur3=0;
    ///Une dois caras
    if(conjs>1){
        int remove=0;
        if(bordas==1){
            remove=conjs-1;
        }else if(bordas==0){
            remove=2*conjs-3;///Cuidado com uniao q acaba
            if(conjs!=2)remove=2*conjs-2;
        }
        if(conjs!=2||bordas||(cur==N-1))
        cur1 = (((conjs)*(conjs-1)-(remove))*dp(cur+1,conjs-1,soma+custo_adicional,bordas)) % MOD;
    }
    ///Aumenta um cara
    if(conjs>=1){
        if(!bordas){///Jah escolheu ambas as bordas
            cur2 = ((conjs*2-2)*dp(cur+1,conjs,soma+custo_adicional,bordas)) % MOD;
        }else if(bordas==1){
            ///Nao marca borda
            cur2 = ((conjs*2-1)*dp(cur+1,conjs,soma+custo_adicional,bordas)) % MOD;
            ///Marca borda
            if(conjs>1){///Caso tenha mais de 2 caras
                cur2 += ((conjs-1)*dp(cur+1,conjs,soma+custo_adicional,bordas-1)) % MOD;
            }else if(cur==N-1&&conjs==1){///Caso seja o ultimo cara msm
                cur2 += (dp(cur+1,conjs,soma+custo_adicional,bordas-1)) % MOD;
            }
        }else {
            ///Nao marca borda
            cur2 = ((conjs*2)*dp(cur+1,conjs,soma+custo_adicional,bordas)) % MOD;
            ///Marca borda
            if(bordas)
            cur2 += ((2*conjs)*dp(cur+1,conjs,soma+custo_adicional,bordas-1)) % MOD;
        }
    }
    ///Cria um novo cara
    {
        ///Ele nao eh fronteira
        cur3 = dp(cur+1,conjs+1,soma+custo_adicional,bordas);
        ///Ele eh fronteira
        if(bordas)
            cur3 += (bordas)*dp(cur+1,conjs+1,soma+custo_adicional,bordas-1);
    }
    return tab[cur][conjs][soma][bordas] = (cur1+cur2+cur3)%MOD;
}
int main()
{
    std::ios::sync_with_stdio(false);
    std::cin.tie(0);
    std::cout.tie(0);
    std::cin>>N>>L;
    if(N==1){
        std::cout<<"1\n";
        return 0;
    }
    for(int i=0;i!=N;++i){
        int x;
        std::cin>>x;
        alturas.push_back(x);
    }
    std::sort(alturas.begin(),alturas.end());
    std::cout<<dp(0,0,0,2)<<"\n";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 2 ms 12636 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 2 ms 12636 KB Output is correct
10 Correct 2 ms 12632 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 16984 KB Output is correct
2 Correct 3 ms 19036 KB Output is correct
3 Correct 2 ms 19036 KB Output is correct
4 Correct 3 ms 19036 KB Output is correct
5 Correct 2 ms 19028 KB Output is correct
6 Correct 3 ms 19032 KB Output is correct
7 Correct 3 ms 19036 KB Output is correct
8 Correct 3 ms 19032 KB Output is correct
9 Correct 3 ms 19036 KB Output is correct
10 Correct 2 ms 19036 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 2 ms 12636 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 2 ms 12636 KB Output is correct
10 Correct 2 ms 12632 KB Output is correct
11 Correct 2 ms 16984 KB Output is correct
12 Correct 3 ms 19036 KB Output is correct
13 Correct 2 ms 19036 KB Output is correct
14 Correct 3 ms 19036 KB Output is correct
15 Correct 2 ms 19028 KB Output is correct
16 Correct 3 ms 19032 KB Output is correct
17 Correct 3 ms 19036 KB Output is correct
18 Correct 3 ms 19032 KB Output is correct
19 Correct 3 ms 19036 KB Output is correct
20 Correct 2 ms 19036 KB Output is correct
21 Correct 13 ms 52312 KB Output is correct
22 Correct 63 ms 71368 KB Output is correct
23 Correct 22 ms 70736 KB Output is correct
24 Correct 28 ms 73816 KB Output is correct
25 Correct 23 ms 68956 KB Output is correct
26 Correct 23 ms 73296 KB Output is correct
27 Correct 21 ms 75868 KB Output is correct
28 Correct 26 ms 74848 KB Output is correct
29 Correct 38 ms 77652 KB Output is correct
30 Correct 24 ms 73300 KB Output is correct