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Submission #488464

# Submission time Handle Problem Language Result Execution time Memory
488464 2021-11-19T07:29:18 Z Tenis0206 Skyscraper (JOI16_skyscraper) C++11
100 / 100
 406 ms 101444 KB 
#include <bits/stdc++.h>

using namespace std;

const int Mod = 1e9 + 7;

int n,l;
int v[1005];

int dp[105][105][2005][2][2];

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);
  //  freopen("nr.in","r",stdin);
  //  freopen("nr.out","w",stdout);
    cin>>n>>l;
    for(int i=1; i<=n; i++)
    {
        cin>>v[i];
    }
    sort(v+1,v+n+1);
    v[n+1] = v[n];
    dp[1][0][0][0][0] = 1;
    dp[1][0][v[2]-v[1]][0][1] = 1;
    dp[1][0][v[2]-v[1]][1][0] = 1;
    dp[1][0][2*(v[2]-v[1])][1][1] = 1;
    for(int i=1; i<n; i++)
    {
        for(int j=0; j<i; j++)
        {
            for(int s=0; s<=l; s++)
            {
                ///adaugam un element in centru
                for(int a=0; a<=1; a++)
                {
                    for(int b=0; b<=1; b++)
                    {
                        ///taiem ambele spatii
                        if(j>0)
                        {
                            dp[i+1][j-1][s+(2*(j-1)+a+b)*(v[i+2]-v[i+1])][a][b]+=(1LL * dp[i][j][s][a][b] * j) % Mod;
                            dp[i+1][j-1][s+(2*(j-1)+a+b)*(v[i+2]-v[i+1])][a][b]%=Mod;
                        }
                        ///taiem un singur spatiu
                        dp[i+1][j][s+(2*j+a+b)*(v[i+2]-v[i+1])][a][b]+=(1LL * dp[i][j][s][a][b] * j * 2) % Mod;
                        dp[i+1][j][s+(2*j+a+b)*(v[i+2]-v[i+1])][a][b]%=Mod;
                        ///taiem ambele spatii
                        dp[i+1][j+1][s+(2*(j+1)+a+b)*(v[i+2]-v[i+1])][a][b]+=(1LL * dp[i][j][s][a][b] * j) % Mod;
                        dp[i+1][j+1][s+(2*(j+1)+a+b)*(v[i+2]-v[i+1])][a][b]%=Mod;
                    }
                }
                ///adaugam un element in fata
                for(int b=0;b<=1;b++)
                {
                    ///se creaza un nou spatiu

                    ///ramane loc de adaugat in fata
                    dp[i+1][j+1][s+(2*(j+1)+1+b)*(v[i+2]-v[i+1])][1][b]+=dp[i][j][s][1][b];
                    dp[i+1][j+1][s+(2*(j+1)+1+b)*(v[i+2]-v[i+1])][1][b]%=Mod;
                    ///nu ramane loc de adaugat in fata
                    dp[i+1][j+1][s+(2*(j+1)+0+b)*(v[i+2]-v[i+1])][0][b]+=dp[i][j][s][1][b];
                    dp[i+1][j+1][s+(2*(j+1)+0+b)*(v[i+2]-v[i+1])][0][b]%=Mod;

                    ///nu se creeaza un nou spatiu

                    ///ramane loc de adaugat in fata
                    dp[i+1][j][s+(2*j+1+b)*(v[i+2]-v[i+1])][1][b]+=dp[i][j][s][1][b];
                    dp[i+1][j][s+(2*j+1+b)*(v[i+2]-v[i+1])][1][b]%=Mod;
                    ///nu ramane loc de adaugat in fata
                    dp[i+1][j][s+(2*j+0+b)*(v[i+2]-v[i+1])][0][b]+=dp[i][j][s][1][b];
                    dp[i+1][j][s+(2*j+0+b)*(v[i+2]-v[i+1])][0][b]%=Mod;

                }

                ///adaugam un element in spate
                for(int a=0;a<=1;a++)
                {
                    ///se creeaza un nou spatiu

                    ///ramane loc de adaugat in spate
                    dp[i+1][j+1][s+(2*(j+1)+a+1)*(v[i+2]-v[i+1])][a][1]+=dp[i][j][s][a][1];
                    dp[i+1][j+1][s+(2*(j+1)+a+1)*(v[i+2]-v[i+1])][a][1]%=Mod;
                    ///nu ramane loc de adaugat in fata
                    dp[i+1][j+1][s+(2*(j+1)+a+0)*(v[i+2]-v[i+1])][a][0]+=dp[i][j][s][a][1];
                    dp[i+1][j+1][s+(2*(j+1)+a+0)*(v[i+2]-v[i+1])][a][0]%=Mod;

                    ///nu se creeaza un nou spatiu
                    dp[i+1][j][s+(2*j+a+1)*(v[i+2]-v[i+1])][a][1]+=dp[i][j][s][a][1];
                    dp[i+1][j][s+(2*j+a+1)*(v[i+2]-v[i+1])][a][1]%=Mod;
                    ///nu ramane loc de adaugat in fata
                    dp[i+1][j][s+(2*j+a+0)*(v[i+2]-v[i+1])][a][0]+=dp[i][j][s][a][1];
                    dp[i+1][j][s+(2*j+a+0)*(v[i+2]-v[i+1])][a][0]%=Mod;
                }
            }
        }
    }
    long long rez = 0;
    for(int i=0;i<=l;i++)
    {
        rez+=dp[n][0][i][0][0];
        rez%=Mod;
    }
    cout<<rez<<'\n';
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 0 ms 460 KB Output is correct
5 Correct 3 ms 1100 KB Output is correct
6 Correct 2 ms 1076 KB Output is correct
7 Correct 1 ms 556 KB Output is correct
8 Correct 1 ms 436 KB Output is correct
9 Correct 2 ms 1080 KB Output is correct
10 Correct 1 ms 452 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 716 KB Output is correct
2 Correct 1 ms 972 KB Output is correct
3 Correct 1 ms 844 KB Output is correct
4 Correct 1 ms 972 KB Output is correct
5 Correct 1 ms 972 KB Output is correct
6 Correct 1 ms 972 KB Output is correct
7 Correct 1 ms 844 KB Output is correct
8 Correct 1 ms 844 KB Output is correct
9 Correct 1 ms 844 KB Output is correct
10 Correct 1 ms 844 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 0 ms 460 KB Output is correct
5 Correct 3 ms 1100 KB Output is correct
6 Correct 2 ms 1076 KB Output is correct
7 Correct 1 ms 556 KB Output is correct
8 Correct 1 ms 436 KB Output is correct
9 Correct 2 ms 1080 KB Output is correct
10 Correct 1 ms 452 KB Output is correct
11 Correct 1 ms 716 KB Output is correct
12 Correct 1 ms 972 KB Output is correct
13 Correct 1 ms 844 KB Output is correct
14 Correct 1 ms 972 KB Output is correct
15 Correct 1 ms 972 KB Output is correct
16 Correct 1 ms 972 KB Output is correct
17 Correct 1 ms 844 KB Output is correct
18 Correct 1 ms 844 KB Output is correct
19 Correct 1 ms 844 KB Output is correct
20 Correct 1 ms 844 KB Output is correct
21 Correct 6 ms 4300 KB Output is correct
22 Correct 205 ms 52688 KB Output is correct
23 Correct 387 ms 99984 KB Output is correct
24 Correct 341 ms 80420 KB Output is correct
25 Correct 406 ms 101024 KB Output is correct
26 Correct 350 ms 88908 KB Output is correct
27 Correct 105 ms 40564 KB Output is correct
28 Correct 131 ms 44844 KB Output is correct
29 Correct 231 ms 66464 KB Output is correct
30 Correct 392 ms 101444 KB Output is correct