oj.uz

Submission #487974

# Submission time Handle Problem Language Result Execution time Memory
487974 2021-11-17T09:59:18 Z Alexandruabcde Skyscraper (JOI16_skyscraper) C++14
100 / 100
 416 ms 99240 KB 
#include <bits/stdc++.h>

using namespace std;

constexpr int NMAX = 105;
constexpr int LMAX = 1005;
constexpr int MOD = 1e9 + 7;

int N, L;
int a[NMAX];

void Read () {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    cin >> N >> L;

    for (int i = 1; i <= N; ++ i )
        cin >> a[i];

    sort(a+1, a+N+1);
}

int dp[NMAX][NMAX][LMAX][2][2];

void Add (int &x, int y) {
    x = (1LL * x + 1LL * y) % MOD;
}

void Solve () {
    for (int S = 0; S < 2; ++ S )
        for (int F = 0; F < 2; ++ F )
            dp[1][0][0][S][F] = 1;

    for (int i = 1; i < N; ++ i )
        for (int cnt_space = 0; cnt_space <= N; ++ cnt_space)
            for (int curr_sum = 0; curr_sum <= L; ++ curr_sum)
                for (int S = 0; S < 2; ++ S )
                    for (int F = 0; F < 2; ++ F ) {
                        int new_sum = curr_sum + (a[i+1] - a[i]) * (2 * cnt_space + S + F);

                        if (new_sum > L) continue;

                        if (cnt_space > 0)
                            Add(dp[i+1][cnt_space-1][new_sum][S][F], (1LL * dp[i][cnt_space][curr_sum][S][F] * cnt_space) % MOD);

                        if (cnt_space < N)
                            Add(dp[i+1][cnt_space+1][new_sum][S][F], (1LL * dp[i][cnt_space][curr_sum][S][F] * cnt_space) % MOD);

                        Add(dp[i+1][cnt_space][new_sum][S][F], (1LL * dp[i][cnt_space][curr_sum][S][F] * 2 * cnt_space) % MOD);

                        if (S == 1) {
                            for (int aux_S = 0; aux_S < 2; ++ aux_S) {
                                Add(dp[i+1][cnt_space][new_sum][aux_S][F], dp[i][cnt_space][curr_sum][S][F]);

                                if (cnt_space < N)
                                    Add(dp[i+1][cnt_space+1][new_sum][aux_S][F], dp[i][cnt_space][curr_sum][S][F]);
                            }
                        }

                        if (F == 1) {
                            for (int aux_F = 0; aux_F < 2; ++ aux_F) {
                                Add(dp[i+1][cnt_space][new_sum][S][aux_F], dp[i][cnt_space][curr_sum][S][F]);

                                if (cnt_space < N)
                                    Add(dp[i+1][cnt_space+1][new_sum][S][aux_F], dp[i][cnt_space][curr_sum][S][F]);
                            }
                        }
                    }

    int ans = 0;
    for (int s = 0; s <= L; ++ s )
        ans = (1LL * ans + dp[N][0][s][0][0]) % MOD;

    cout << ans << '\n';
}

int main () {
    Read();
    Solve();

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 336 KB Output is correct
3 Correct 0 ms 320 KB Output is correct
4 Correct 1 ms 464 KB Output is correct
5 Correct 2 ms 848 KB Output is correct
6 Correct 3 ms 848 KB Output is correct
7 Correct 1 ms 592 KB Output is correct
8 Correct 1 ms 592 KB Output is correct
9 Correct 3 ms 976 KB Output is correct
10 Correct 1 ms 592 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 960 KB Output is correct
2 Correct 2 ms 976 KB Output is correct
3 Correct 1 ms 1104 KB Output is correct
4 Correct 2 ms 976 KB Output is correct
5 Correct 1 ms 976 KB Output is correct
6 Correct 2 ms 1104 KB Output is correct
7 Correct 1 ms 848 KB Output is correct
8 Correct 1 ms 1188 KB Output is correct
9 Correct 2 ms 1232 KB Output is correct
10 Correct 1 ms 976 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 336 KB Output is correct
3 Correct 0 ms 320 KB Output is correct
4 Correct 1 ms 464 KB Output is correct
5 Correct 2 ms 848 KB Output is correct
6 Correct 3 ms 848 KB Output is correct
7 Correct 1 ms 592 KB Output is correct
8 Correct 1 ms 592 KB Output is correct
9 Correct 3 ms 976 KB Output is correct
10 Correct 1 ms 592 KB Output is correct
11 Correct 2 ms 960 KB Output is correct
12 Correct 2 ms 976 KB Output is correct
13 Correct 1 ms 1104 KB Output is correct
14 Correct 2 ms 976 KB Output is correct
15 Correct 1 ms 976 KB Output is correct
16 Correct 2 ms 1104 KB Output is correct
17 Correct 1 ms 848 KB Output is correct
18 Correct 1 ms 1188 KB Output is correct
19 Correct 2 ms 1232 KB Output is correct
20 Correct 1 ms 976 KB Output is correct
21 Correct 4 ms 3920 KB Output is correct
22 Correct 393 ms 92308 KB Output is correct
23 Correct 402 ms 86508 KB Output is correct
24 Correct 378 ms 93528 KB Output is correct
25 Correct 409 ms 89012 KB Output is correct
26 Correct 365 ms 84912 KB Output is correct
27 Correct 153 ms 63436 KB Output is correct
28 Correct 199 ms 72100 KB Output is correct
29 Correct 368 ms 99240 KB Output is correct
30 Correct 416 ms 87988 KB Output is correct