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Submission #587095

# Submission time Handle Problem Language Result Execution time Memory
587095 2022-07-01T09:58:34 Z Jarif_Rahman Skyscraper (JOI16_skyscraper) C++17
100 / 100
 369 ms 238676 KB 
#include <bits/stdc++.h>
#define pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;

const ll md = 1e9+7;
const int lim = 1005;

ll dp[100][101][lim][3];

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    for(int i = 0; i < 100; i++) for(int j = 0; j <= 100; j++)
        for(int k = 0; k < lim; k++) for(int l = 0; l < 3; l++) dp[i][j][k][l] = 0;

    int n, L; cin >> n >> L;
    vector<int> A(n);
    for(int &x: A) cin >> x;
    sort(A.begin(), A.end());

    auto d = [&](int i, int j, int m){
        return (2*j-m)*(A[i]-A[i-1]);
    };

    dp[0][1][0][0] = 1;
    dp[0][1][0][1] = 2;

    if(n == 1) dp[0][1][0][2] = 1;
    
    for(int i = 1; i < n; i++) for(int j = 1; j <= i+1; j++)
    for(int c = 0; c < lim; c++) for(int m = 0; m <= 2; m++){
        //-
        if(c-d(i,j-1,m) >= 0 && j > 1)
            dp[i][j][c][m]+=dp[i-1][j-1][c-d(i,j-1,m)][m], dp[i][j][c][m]%=md;

        //:-
        if(c-d(i,j-1,m-1) >= 0 && j > 1 && m > 0){
            if(j == 1 && i == n-1 && m == 2)
                dp[i][j][c][m]+=dp[i-1][j-1][c-d(i,j-1,m-1)][m-1], dp[i][j][c][m]%=md;
            else if(j != 1)
                dp[i][j][c][m]+=(dp[i-1][j-1][c-d(i,j-1,m-1)][m-1]*(3-m))%md, dp[i][j][c][m]%=md;
        }

        //---- + - = -----
        if(c-d(i,j,m) >= 0)
            dp[i][j][c][m]+=(dp[i-1][j][c-d(i,j,m)][m]*(2*j-m))%md, dp[i][j][c][m]%=md;

        //---- + -: = -----:
        if(c-d(i,j,m-1) >= 0 && m > 0){
            if(i == n-1 && j == 1 && m == 2)
                dp[i][j][c][m]+=dp[i-1][j][c-d(i,j,m-1)][m-1], dp[i][j][c][m]%=md;
            else if(m == 1)
                dp[i][j][c][m]+=(dp[i-1][j][c-d(i,j,m-1)][m-1]*2*j)%md, dp[i][j][c][m]%=md;
            else if(j != 1)
                dp[i][j][c][m]+=(dp[i-1][j][c-d(i,j,m-1)][m-1]*(j-1))%md, dp[i][j][c][m]%=md;
        }

        //---- + - + ---- = ---------
        if(c-d(i,j+1,m) >= 0 && j+1 <= i){
            if(i == n-1 && j == 1 && m == 2)
                dp[i][j][c][m]+=dp[i-1][j+1][c-d(i,j+1,m)][m], dp[i][j][c][m]%=md;
            else if(m == 0)
                dp[i][j][c][m]+=(dp[i-1][j+1][c-d(i,j+1,m)][m]*j*(j+1))%md, dp[i][j][c][m]%=md;
            else if(m == 1)
                dp[i][j][c][m]+=(dp[i-1][j+1][c-d(i,j+1,m)][m]*j*j)%md, dp[i][j][c][m]%=md;
            else if(j != 1)
                dp[i][j][c][m]+=(dp[i-1][j+1][c-d(i,j+1,m)][m]*j*(j-1))%md, dp[i][j][c][m]%=md;
        }
    }

    ll ans = 0;

    for(int i = 0; i <= L; i++) ans+=dp[n-1][1][i][2], ans%=md;

    cout << ans << "\n";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 114 ms 238584 KB Output is correct
2 Correct 95 ms 238592 KB Output is correct
3 Correct 98 ms 238552 KB Output is correct
4 Correct 104 ms 238608 KB Output is correct
5 Correct 98 ms 238608 KB Output is correct
6 Correct 101 ms 238660 KB Output is correct
7 Correct 103 ms 238596 KB Output is correct
8 Correct 95 ms 238672 KB Output is correct
9 Correct 93 ms 238580 KB Output is correct
10 Correct 98 ms 238556 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 100 ms 238612 KB Output is correct
2 Correct 107 ms 238652 KB Output is correct
3 Correct 103 ms 238636 KB Output is correct
4 Correct 115 ms 238540 KB Output is correct
5 Correct 105 ms 238668 KB Output is correct
6 Correct 102 ms 238608 KB Output is correct
7 Correct 120 ms 238584 KB Output is correct
8 Correct 106 ms 238572 KB Output is correct
9 Correct 101 ms 238604 KB Output is correct
10 Correct 108 ms 238568 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 114 ms 238584 KB Output is correct
2 Correct 95 ms 238592 KB Output is correct
3 Correct 98 ms 238552 KB Output is correct
4 Correct 104 ms 238608 KB Output is correct
5 Correct 98 ms 238608 KB Output is correct
6 Correct 101 ms 238660 KB Output is correct
7 Correct 103 ms 238596 KB Output is correct
8 Correct 95 ms 238672 KB Output is correct
9 Correct 93 ms 238580 KB Output is correct
10 Correct 98 ms 238556 KB Output is correct
11 Correct 100 ms 238612 KB Output is correct
12 Correct 107 ms 238652 KB Output is correct
13 Correct 103 ms 238636 KB Output is correct
14 Correct 115 ms 238540 KB Output is correct
15 Correct 105 ms 238668 KB Output is correct
16 Correct 102 ms 238608 KB Output is correct
17 Correct 120 ms 238584 KB Output is correct
18 Correct 106 ms 238572 KB Output is correct
19 Correct 101 ms 238604 KB Output is correct
20 Correct 108 ms 238568 KB Output is correct
21 Correct 155 ms 238592 KB Output is correct
22 Correct 287 ms 238676 KB Output is correct
23 Correct 300 ms 238668 KB Output is correct
24 Correct 317 ms 238672 KB Output is correct
25 Correct 289 ms 238672 KB Output is correct
26 Correct 292 ms 238676 KB Output is correct
27 Correct 369 ms 238672 KB Output is correct
28 Correct 368 ms 238668 KB Output is correct
29 Correct 344 ms 238676 KB Output is correct
30 Correct 256 ms 238672 KB Output is correct