oj.uz

Submission #250699

# Submission time Handle Problem Language Result Execution time Memory
250699 2020-07-18T19:14:44 Z parsa_mobed Skyscraper (JOI16_skyscraper) C++14
100 / 100
 129 ms 47480 KB 
#include <bits/stdc++.h>

using namespace std;
const int N = 101, L = 1001, MOD = 1e9 + 7;
int a[N], dif[N], dp[N][N][L][3];

int mul(int a, int b) {return 1ll * a * b % MOD;}
void add(int &a, const int &b) {a += b; if (a >= MOD) a -= MOD; return ;}

int main() {
    ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    int n, s; cin >> n >> s;
    if (n == 1) return cout << 1 << "\n", 0;
    for (int i = 0; i < n; i++) cin >> a[i];
    sort(a, a + n);
    for (int i = 1; i < n; i++) dif[i] = a[i] - a[i - 1];
    dp[0][0][0][0] = 1;
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= i; j++) {
            for (int k = 0; k <= s; k++) {
                int x = 2 * j, y = j * (j + 1);
                if (k >= x * dif[i]) {
                    add(dp[i][j][k][0], mul(dp[i - 1][j][k - x * dif[i]][0], x));
                    add(dp[i][j][k][0], mul(dp[i - 1][j + 1][k - x * dif[i]][0], y));
                    add(dp[i][j][k][0], dp[i - 1][j - 1][k - x * dif[i]][0]);
                }
                x--, y -= j;
                if (k >= x * dif[i]) {
                    add(dp[i][j][k][1], mul(dp[i - 1][j][k - x * dif[i]][1], x));
                    add(dp[i][j][k][1], mul(dp[i - 1][j + 1][k - x * dif[i]][1], y));
                    add(dp[i][j][k][1], dp[i - 1][j - 1][k - x * dif[i]][1]);
                    add(dp[i][j][k][1], mul(dp[i - 1][j][k - x * dif[i]][0], 2 * j));
                    add(dp[i][j][k][1], mul(dp[i - 1][j - 1][k - x * dif[i]][0], 2));
                }
                x--, y -= j;
                if (k >= x * dif[i]) {
                    add(dp[i][j][k][2], mul(dp[i - 1][j][k - x * dif[i]][2], x));
                    add(dp[i][j][k][2], mul(dp[i - 1][j + 1][k - x * dif[i]][2], y));
                    add(dp[i][j][k][2], dp[i - 1][j - 1][k - x * dif[i]][2]);
                    add(dp[i][j][k][2], mul(dp[i - 1][j][k - x * dif[i]][1], j - 1));
                    add(dp[i][j][k][2], dp[i - 1][j - 1][k - x * dif[i]][1]);
                    if (i == n && j == 1) {
                        add(dp[i][j][k][2], dp[i - 1][j + 1][k - x * dif[i]][2]);
                        add(dp[i][j][k][2], dp[i - 1][j][k - x * dif[i]][1]);
                    }
                }
            }
        }
    }
    int ans = 0;
    for (int k = 0; k <= s; k++) add(ans, dp[n][1][k][2]);
    cout << ans << "\n";

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 640 KB Output is correct
6 Correct 1 ms 640 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 2 ms 768 KB Output is correct
10 Correct 1 ms 512 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 768 KB Output is correct
2 Correct 1 ms 768 KB Output is correct
3 Correct 1 ms 800 KB Output is correct
4 Correct 1 ms 768 KB Output is correct
5 Correct 1 ms 768 KB Output is correct
6 Correct 2 ms 896 KB Output is correct
7 Correct 1 ms 768 KB Output is correct
8 Correct 1 ms 768 KB Output is correct
9 Correct 1 ms 896 KB Output is correct
10 Correct 1 ms 768 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 1 ms 640 KB Output is correct
6 Correct 1 ms 640 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 2 ms 768 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 2 ms 768 KB Output is correct
12 Correct 1 ms 768 KB Output is correct
13 Correct 1 ms 800 KB Output is correct
14 Correct 1 ms 768 KB Output is correct
15 Correct 1 ms 768 KB Output is correct
16 Correct 2 ms 896 KB Output is correct
17 Correct 1 ms 768 KB Output is correct
18 Correct 1 ms 768 KB Output is correct
19 Correct 1 ms 896 KB Output is correct
20 Correct 1 ms 768 KB Output is correct
21 Correct 3 ms 3072 KB Output is correct
22 Correct 116 ms 36584 KB Output is correct
23 Correct 125 ms 43640 KB Output is correct
24 Correct 119 ms 46824 KB Output is correct
25 Correct 129 ms 43896 KB Output is correct
26 Correct 116 ms 43004 KB Output is correct
27 Correct 55 ms 31352 KB Output is correct
28 Correct 70 ms 34680 KB Output is correct
29 Correct 118 ms 47480 KB Output is correct
30 Correct 127 ms 43900 KB Output is correct