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Submission #527004

# Submission time Handle Problem Language Result Execution time Memory
527004 2022-02-16T19:34:04 Z FireGhost1301 Skyscraper (JOI16_skyscraper) C++11
100 / 100
 92 ms 15212 KB 
#include <bits/stdc++.h>
using namespace std;

const int MOD = 1e9 + 7;
void add(int &x, int y) {
    x += y;
    while (x >= MOD) x -= MOD;
    while (x < 0) x += MOD;
}

int mul(int x, int y) {
    return (x * 1LL * y) % MOD;
}

const int N = 100 + 3, M = 1000 + 3;
int n, m, a[N];
int f[N][N][M][3];

void solve() {
    cin >> n >> m;
    for (int i = 1; i <= n; ++i)
        cin >> a[i];
    sort(a + 1, a + n + 1);
    a[n + 1] = a[n];

    if (n == 1) {
        cout << 1;
        return;
    }

    f[0][0][0][0] = 1;
    for (int i = 0; i < n; ++i) {
        int x = a[i + 2] - a[i + 1];
        for (int j = 0; j <= i; ++j) {
            for (int k = 0; k <= m; ++k) {
                for (int l = 0; l < 3; ++l) if (f[i][j][k][l]) {
                    if (k + (2 * j - l + 2) * x <= m)
                        add(f[i + 1][j + 1][k + (2 * j - l + 2) * x][l], mul(f[i][j][k][l], j - l + 1));
                    if (l < 2 && k + (2 * j - l + 1) * x <= m)
                        add(f[i + 1][j + 1][k + (2 * j - l + 1) * x][l + 1], mul(f[i][j][k][l], 2 - l));
                    if (k + (2 * j - l) * x <= m)
                        add(f[i + 1][j][k + (2 * j - l) * x][l], mul(f[i][j][k][l], 2 * j - l));
                    if (l < 2 && k + (2 * j - l - 1) * x <= m)
                        add(f[i + 1][j][k + (2 * j - l - 1) * x][l + 1], mul(f[i][j][k][l], 2 - l));
                    if (j - 1 > 0 && k + (2 * j - l - 2) * x <= m)
                        add(f[i + 1][j - 1][k + (2 * j - l - 2) * x][l], mul(f[i][j][k][l], j - 1));
                }
            }
        }
    }

    int ans = 0;
    for (int i = 0; i <= m; ++i)
        add(ans, f[n][1][i][2]);
    
    cout << ans;
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    solve();
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 324 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 328 KB Output is correct
8 Correct 1 ms 452 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 1 ms 460 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 460 KB Output is correct
3 Correct 1 ms 588 KB Output is correct
4 Correct 1 ms 460 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 460 KB Output is correct
8 Correct 1 ms 588 KB Output is correct
9 Correct 1 ms 588 KB Output is correct
10 Correct 1 ms 460 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 324 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 1 ms 460 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 1 ms 328 KB Output is correct
8 Correct 1 ms 452 KB Output is correct
9 Correct 1 ms 460 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 1 ms 588 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 588 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 1 ms 460 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 588 KB Output is correct
19 Correct 1 ms 588 KB Output is correct
20 Correct 1 ms 460 KB Output is correct
21 Correct 1 ms 1080 KB Output is correct
22 Correct 92 ms 15212 KB Output is correct
23 Correct 43 ms 5320 KB Output is correct
24 Correct 50 ms 8144 KB Output is correct
25 Correct 46 ms 6108 KB Output is correct
26 Correct 40 ms 5832 KB Output is correct
27 Correct 28 ms 7960 KB Output is correct
28 Correct 35 ms 9320 KB Output is correct
29 Correct 60 ms 11356 KB Output is correct
30 Correct 44 ms 6172 KB Output is correct