oj.uz

Submission #902597

# Submission time Handle Problem Language Result Execution time Memory
902597 2024-01-10T18:52:26 Z Spade1 Skyscraper (JOI16_skyscraper) C++14
100 / 100
 1742 ms 38468 KB 
#include <bits/stdc++.h>
#define ll long long
#define pii pair<int, int>
#define pll pair<ll ll>
#define st first
#define nd second
#define pb push_back
using namespace std;

const int maxN = 1e2 + 2;
const int maxL = 1e3 + 2;
const int M = 1e9 + 7;

ll dp[maxN][8*maxL][3], tmp[maxN][8*maxL][3], a[maxN];

void solve() {
    ll n, l; cin >> n >> l;
    if (n == 1) {
        cout << 1 << '\n';
        return;
    }
    for (int i = 1; i <= n; ++i) cin >> a[i];
    sort(a+1, a+n+1);
    tmp[0][7*l][0] = 1;
    for (int i = 1; i <= n; ++i) {
        for (int j = 1; j <= n; ++j) {
            for (int k = 0; k <= 8*l; ++k) {
                if (k+2*a[i] <= 8*l) {
                    dp[j][k][0] = (dp[j][k][0] + j*tmp[j-1][k+2*a[i]][0]) % M;
                    dp[j][k][1] = (dp[j][k][1] + (j-1)*tmp[j-1][k+2*a[i]][1]) % M;
                    dp[j][k][2] = (dp[j][k][2] + (j-2)*tmp[j-1][k+2*a[i]][2]) % M;
                }
                if (k+a[i] <= 8*l) {
                    dp[j][k][1] = (dp[j][k][1] + 2*tmp[j-1][k+a[i]][0]) % M;
                    dp[j][k][2] = (dp[j][k][2] + tmp[j-1][k+a[i]][1]) % M;
                }
                dp[j][k][0] = (dp[j][k][0] + (2*j)*tmp[j][k][0]) % M;
                dp[j][k][1] = (dp[j][k][1] + (2*j-1)*tmp[j][k][1]) % M;
                dp[j][k][2] = (dp[j][k][2] + (2*j-2)*tmp[j][k][2]) % M;
                if (k-a[i] >= 0) {
                    dp[j][k][1] = (dp[j][k][1] + 2*tmp[j][k-a[i]][0]) % M;
                    dp[j][k][2] = (dp[j][k][2] + tmp[j][k-a[i]][1]) % M;
                }
                if (k-2*a[i] >= 0) {
                    dp[j][k][0] = (dp[j][k][0] + j*tmp[j+1][k-2*a[i]][0]) % M;
                    dp[j][k][1] = (dp[j][k][1] + j*tmp[j+1][k-2*a[i]][1]) % M;
                    dp[j][k][2] = (dp[j][k][2] + j*tmp[j+1][k-2*a[i]][2]) % M;
                }
            }
        }
        for (int j = 0; j <= n; ++j) {
            for (int k = 0; k <= 8*l; ++k) {
                tmp[j][k][0] = dp[j][k][0];
                tmp[j][k][1] = dp[j][k][1];
                tmp[j][k][2] = dp[j][k][2];
                dp[j][k][0] = dp[j][k][1] = dp[j][k][2] = 0;
            }
        }
    }
    ll ans = 0;
    for (int i = 7*l; i <= 8*l; ++i) {
        ans += tmp[1][i][2];
        ans %= M;
    }
    cout << ans << '\n';
}

int main() {
    ios_base::sync_with_stdio(0); cin.tie(NULL);
    int t = 1;
//    cin >> t;
    while (t--) solve();
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 600 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 11 ms 3708 KB Output is correct
6 Correct 10 ms 3164 KB Output is correct
7 Correct 2 ms 856 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Correct 11 ms 3564 KB Output is correct
10 Correct 2 ms 860 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 856 KB Output is correct
2 Correct 4 ms 860 KB Output is correct
3 Correct 2 ms 604 KB Output is correct
4 Correct 4 ms 860 KB Output is correct
5 Correct 5 ms 1068 KB Output is correct
6 Correct 3 ms 856 KB Output is correct
7 Correct 1 ms 716 KB Output is correct
8 Correct 2 ms 604 KB Output is correct
9 Correct 4 ms 860 KB Output is correct
10 Correct 3 ms 860 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 600 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 11 ms 3708 KB Output is correct
6 Correct 10 ms 3164 KB Output is correct
7 Correct 2 ms 856 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Correct 11 ms 3564 KB Output is correct
10 Correct 2 ms 860 KB Output is correct
11 Correct 2 ms 856 KB Output is correct
12 Correct 4 ms 860 KB Output is correct
13 Correct 2 ms 604 KB Output is correct
14 Correct 4 ms 860 KB Output is correct
15 Correct 5 ms 1068 KB Output is correct
16 Correct 3 ms 856 KB Output is correct
17 Correct 1 ms 716 KB Output is correct
18 Correct 2 ms 604 KB Output is correct
19 Correct 4 ms 860 KB Output is correct
20 Correct 3 ms 860 KB Output is correct
21 Correct 11 ms 1368 KB Output is correct
22 Correct 944 ms 25440 KB Output is correct
23 Correct 1671 ms 38452 KB Output is correct
24 Correct 1299 ms 29428 KB Output is correct
25 Correct 1742 ms 38468 KB Output is correct
26 Correct 1476 ms 33304 KB Output is correct
27 Correct 432 ms 10548 KB Output is correct
28 Correct 514 ms 12676 KB Output is correct
29 Correct 1050 ms 22988 KB Output is correct
30 Correct 1707 ms 38468 KB Output is correct