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Submission #912501

# Submission time Handle Problem Language Result Execution time Memory
912501 2024-01-19T14:42:38 Z fanwen Skyscraper (JOI16_skyscraper) C++17
100 / 100
 34 ms 28844 KB 
#include <bits/stdc++.h>

using namespace std;

const int Mod = 1e9 + 7;

int n, L, a[101];
long long dp[101][101][1005][3];

signed main() {
    cin >> n >> L;
    for (int i = 1; i <= n; ++i) cin >> a[i];
    sort(a + 1, a + n + 1);
    if(n == 1) {
        cout << 1;
        return 0;
    }

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

    for (int i = 1; i < n; ++i) {
        for (int j = 1; j <= i; ++j) {
            for (int k = 0; k <= L; ++k) {
                for (int e = 0; e < 3; ++e) {
                    if(dp[i][j][k][e] == 0) continue;
                    int new_cost = k + (a[i + 1] - a[i]) * (2 * j - e);
                    if(new_cost > L) continue;
                    (dp[i + 1][j + 1][new_cost][e] += dp[i][j][k][e] * (j + 1 - e)) %= Mod;
                    (dp[i + 1][j][new_cost][e] += dp[i][j][k][e] * (2 * j - e)) %= Mod; 
                    (dp[i + 1][j - 1][new_cost][e] += dp[i][j][k][e] * (j - 1)) %= Mod;
                    if(e < 2) {
                        (dp[i + 1][j + 1][new_cost][e + 1] += dp[i][j][k][e] * (2 - e)) %= Mod;
                        (dp[i + 1][j][new_cost][e + 1] += dp[i][j][k][e] * (2 - e)) %= Mod;
                    }
                }
            }
        }
    }

    long long ans = 0;

    for (int i = 0; i <= L; ++i) {
        ans += dp[n][1][i][2];
        ans %= Mod;
    }
    cout << ans;

}

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 2496 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2648 KB Output is correct
10 Correct 1 ms 2648 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2908 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2904 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 2 ms 2908 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2908 KB Output is correct
9 Correct 1 ms 3164 KB Output is correct
10 Correct 2 ms 2652 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 2496 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2648 KB Output is correct
10 Correct 1 ms 2648 KB Output is correct
11 Correct 2 ms 2908 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2904 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 2 ms 2908 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2908 KB Output is correct
19 Correct 1 ms 3164 KB Output is correct
20 Correct 2 ms 2652 KB Output is correct
21 Correct 2 ms 3672 KB Output is correct
22 Correct 34 ms 28844 KB Output is correct
23 Correct 24 ms 12636 KB Output is correct
24 Correct 25 ms 16980 KB Output is correct
25 Correct 29 ms 14508 KB Output is correct
26 Correct 23 ms 13244 KB Output is correct
27 Correct 13 ms 13404 KB Output is correct
28 Correct 16 ms 15708 KB Output is correct
29 Correct 27 ms 21324 KB Output is correct
30 Correct 27 ms 14428 KB Output is correct