oj.uz

Submission #527595

# Submission time Handle Problem Language Result Execution time Memory
527595 2022-02-17T17:52:47 Z Monarchuwu Skyscraper (JOI16_skyscraper) C++17
100 / 100
 63 ms 26180 KB 
/**
 *  Problem:    JOI16_skyscraper - Skyscraper
 *  Link:       https://oj.uz/problem/view/JOI16_skyscraper
 *  Tags:       DP CC
 *  Solution:   xét chiều cao các tòa nhà chưa biết là h[i + 1]
**/
#include<iostream>
#include<algorithm>
using namespace std;
typedef long long ll;

const int N = 100 + 3, L = 1000 + 3, mod = 1e9 + 7;
int n, l;
int h[N];

#define add(a, b) (a += b) %= mod
ll dp[N][N][L][3];
int main() {
    cin.tie(NULL)->sync_with_stdio(false);
    cin >> n >> l;
    if (n == 1) {
        cout << "1\n";
        return 0;
    }
    for (int i = 1; i <= n; ++i) cin >> h[i];
    sort(h + 1, h + n + 1);

    dp[1][1][0][0] = 1;
    dp[1][1][0][1] = 2;
    for (int i = 1; i < n - 1; ++i)
        for (int j = 1; j <= i; ++j)
            for (int k = 0, nxtk; k <= l; ++k)
                for (int x = 0; x < 3; ++x) if (dp[i][j][k][x]) {
                    nxtk = k + (j * 2 - x) * (h[i + 1] - h[i]);
                    if (nxtk > l) continue;

                    // tạo cc mới giữa 2 cc thường
                    add(dp[i + 1][j + 1][nxtk][x], dp[i][j][k][x] * (j - x + 1));
                    if (x < 2) // tạo cc mới dính với 1 đầu permu
                        add(dp[i + 1][j + 1][nxtk][x + 1], dp[i][j][k][x] * (2 - x));

                    // dán vào 1 cc
                    add(dp[i + 1][j][nxtk][x], dp[i][j][k][x] * (2 * j - x));

                    if (j != x) { // j != x để không nối 2 đầu permu
                        // nối 2 cc thường
                        add(dp[i + 1][j - 1][nxtk][x], dp[i][j][k][x] * (j - 1));
                        if (x < 2) // tạo cc mới nối 1 đầu permu với 1 cc
                            add(dp[i + 1][j][nxtk][x + 1], dp[i][j][k][x] * (2 - x));
                    }
                }

    ll sum(0);
    for (int k = 0, nxtk; k <= l; ++k) {
        nxtk = k + h[n] - h[n - 1];
        if (nxtk <= l)
            sum += dp[n - 1][1][k][1];

        nxtk += h[n] - h[n - 1];
        if (nxtk <= l)
            sum += dp[n - 1][2][k][2];
    }
    cout << sum % mod << '\n';
}
/**  /\_/\
 *  (= ._.)
 *  / >0  \>1
**/

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 320 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 588 KB Output is correct
7 Correct 1 ms 436 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 588 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 588 KB Output is correct
2 Correct 1 ms 588 KB Output is correct
3 Correct 1 ms 716 KB Output is correct
4 Correct 1 ms 588 KB Output is correct
5 Correct 1 ms 588 KB Output is correct
6 Correct 1 ms 588 KB Output is correct
7 Correct 1 ms 460 KB Output is correct
8 Correct 1 ms 716 KB Output is correct
9 Correct 1 ms 716 KB Output is correct
10 Correct 1 ms 588 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 320 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 588 KB Output is correct
7 Correct 1 ms 436 KB Output is correct
8 Correct 1 ms 460 KB Output is correct
9 Correct 1 ms 588 KB Output is correct
10 Correct 1 ms 452 KB Output is correct
11 Correct 1 ms 588 KB Output is correct
12 Correct 1 ms 588 KB Output is correct
13 Correct 1 ms 716 KB Output is correct
14 Correct 1 ms 588 KB Output is correct
15 Correct 1 ms 588 KB Output is correct
16 Correct 1 ms 588 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 716 KB Output is correct
19 Correct 1 ms 716 KB Output is correct
20 Correct 1 ms 588 KB Output is correct
21 Correct 3 ms 1336 KB Output is correct
22 Correct 63 ms 26180 KB Output is correct
23 Correct 35 ms 9804 KB Output is correct
24 Correct 36 ms 14064 KB Output is correct
25 Correct 48 ms 11240 KB Output is correct
26 Correct 44 ms 10264 KB Output is correct
27 Correct 24 ms 10840 KB Output is correct
28 Correct 24 ms 13252 KB Output is correct
29 Correct 40 ms 18692 KB Output is correct
30 Correct 37 ms 11320 KB Output is correct