oj.uz

Submission #238327

# Submission time Handle Problem Language Result Execution time Memory
238327 2020-06-10T19:01:03 Z thecodingwizard Skyscraper (JOI16_skyscraper) C++11
100 / 100
 196 ms 240248 KB 
/*
 * DP Component: https://codeforces.com/blog/entry/47764
 *
 * My code has ORDERED components
 */

#include <bits/stdc++.h>

using namespace std;

#define F0R(i, n) for (int i = 0; i < n; i++)
#define ll long long

void add(ll &a, ll b) {
    a = (a + b) % 1000000007;
}

ll A[101]; 
ll dp[101][101][1001][3];
int main() {
    int n, L; cin >> n >> L;

    F0R(i, n) cin >> A[i];
    sort(A, A+n);

    if (n == 1) {
        cout << 1 << endl;
        return 0;
    }

    F0R(i, n+1) F0R(j, n+1) F0R(k, L+1) F0R(m, 3) dp[i][j][k][m] = 0;
    dp[0][0][0][0] = 1;
    A[n] = 2000;
    for (int i = 0; i < n; i++) {
        ll diff = A[i+1] - A[i];
        for (int j = 0; j <= n; j++) {
            for (int k = 0; k <= L; k++) {
                for (int l = 0; l <= 2; l++) {
                    if (dp[i][j][k][l] == 0) continue;
                    // fill in an endpoint
                    if (l < 2) {
                        // create new component
                        int k2 = k + diff*(2*j-l+1);
                        if (k2 <= L) {
                            add(dp[i+1][j+1][k2][l+1], dp[i][j][k][l]*(2-l));
                        }
                        // merge with a component
                        if (j > 0) {
                            k2 = k + diff*(2*j-l-1);
                            if (k2 <= L) add(dp[i+1][j][k2][l+1], dp[i][j][k][l]*(2-l));
                        }
                    }
                    // create a new component
                    int k2 = k + diff*(2*j-l+2);
                    if (k2 <= L) add(dp[i+1][j+1][k2][l], dp[i][j][k][l]*(j-l+1));
                    // append to a component
                    k2 = k + diff*(2*j-l);
                    if (k2 <= L) add(dp[i+1][j][k2][l], dp[i][j][k][l]*(2*j-l));
                    // merge two components
                    if (j >= 2) {
                        k2 = k + diff*(2*j-l-2);
                        if (k2 <= L) add(dp[i+1][j-1][k2][l], dp[i][j][k][l]*(j-1));
                    }
                }
            }
        }
    }
    ll ans = 0;
    for (int i = 0; i <= L; i++) {
        add(ans, dp[n][1][i][2]);
    }
    cout << ans << endl;

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 256 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 640 KB Output is correct
5 Correct 6 ms 2432 KB Output is correct
6 Correct 6 ms 2304 KB Output is correct
7 Correct 5 ms 1024 KB Output is correct
8 Correct 5 ms 896 KB Output is correct
9 Correct 6 ms 2304 KB Output is correct
10 Correct 5 ms 896 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1280 KB Output is correct
2 Correct 5 ms 1792 KB Output is correct
3 Correct 5 ms 1536 KB Output is correct
4 Correct 5 ms 1792 KB Output is correct
5 Correct 6 ms 1792 KB Output is correct
6 Correct 5 ms 1792 KB Output is correct
7 Correct 6 ms 1408 KB Output is correct
8 Correct 5 ms 1536 KB Output is correct
9 Correct 5 ms 1664 KB Output is correct
10 Correct 6 ms 1664 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 256 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 640 KB Output is correct
5 Correct 6 ms 2432 KB Output is correct
6 Correct 6 ms 2304 KB Output is correct
7 Correct 5 ms 1024 KB Output is correct
8 Correct 5 ms 896 KB Output is correct
9 Correct 6 ms 2304 KB Output is correct
10 Correct 5 ms 896 KB Output is correct
11 Correct 5 ms 1280 KB Output is correct
12 Correct 5 ms 1792 KB Output is correct
13 Correct 5 ms 1536 KB Output is correct
14 Correct 5 ms 1792 KB Output is correct
15 Correct 6 ms 1792 KB Output is correct
16 Correct 5 ms 1792 KB Output is correct
17 Correct 6 ms 1408 KB Output is correct
18 Correct 5 ms 1536 KB Output is correct
19 Correct 5 ms 1664 KB Output is correct
20 Correct 6 ms 1664 KB Output is correct
21 Correct 10 ms 8832 KB Output is correct
22 Correct 136 ms 146104 KB Output is correct
23 Correct 196 ms 240248 KB Output is correct
24 Correct 165 ms 219128 KB Output is correct
25 Correct 189 ms 240108 KB Output is correct
26 Correct 165 ms 240120 KB Output is correct
27 Correct 72 ms 100088 KB Output is correct
28 Correct 87 ms 113400 KB Output is correct
29 Correct 140 ms 178556 KB Output is correct
30 Correct 175 ms 240120 KB Output is correct