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Submission #524685

# Submission time Handle Problem Language Result Execution time Memory
524685 2022-02-09T19:29:01 Z LptN21 Skyscraper (JOI16_skyscraper) C++14
100 / 100
 37 ms 2848 KB 
#include <bits/stdc++.h>
using namespace std;
#define fastIO ios_base::sync_with_stdio(false), cin.tie(NULL);
#define FF first
#define SS second
#define eps 1e-9
#define PI aocs(-1.0)
// VECTOR (6)
#define pb push_back
#define sz(x) (int)x.size()
#define all(x) (x).begin(), (x).end()
#define lb lower_bound
#define ub upper_bound
#define uniq(x) sort(all((x))), (x).resize(unique(all((x))) - (x).begin());
// BIT (6)
#define BIT(x, i) (((x)>>(i))&1)
#define MASK(i) (1LL<<(i))
#define CNTBIT(x) __builtin_popcountll(x)
#define ODDBIT(x) __builtin_parityll(x)
#define SUBSET(big, small) (((big)&(small))==(small))
#define FIRSTBIT(x) __builtin_ctzll(x)
//typedef
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> ii;

/* */
template <class T>
bool minimize(T &a, const T &b) {
    if(a > b) {a = b; return 1;}
    return 0;
}
template <class T>
bool maximize(T &a, const T &b) {
    if(a < b) {a = b; return 1;}
    return 0;
}
/* */

/* CODE BELOW */
const int N = 100 + 7, M = 1000 + 7;
const int MOD = 1e9 + 7;
const int oo = 1e9 + 7;

int n, l, a[N];
int _dp[2][N][M][3];

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

signed main() {
    //freopen("test.inp", "r", stdin);
    //freopen("test.out", "w", stdout);
    fastIO;
    cin>>n>>l;
    for(int i=1;i<=n;i++) cin>>a[i];
    sort(a+1, a+n+1); a[0] = 0;

    //_dp[0][0][0][0] = 1;
    _dp[1][1][0][0] = 1;
    _dp[1][1][0][1] = 2;
    _dp[1][1][0][2] = 1;
    int cur = 1, nxt = 0;
    for(int i=1;i<n;i++, swap(cur, nxt)) {
        memset(_dp[nxt], 0, sizeof _dp[nxt]);
        int diff = a[i+1] - a[i];
        for(int j=1;j<=i;j++) for(int k=0;k<=l;k++) for(int t=0;t<3;t++) {
            int v = _dp[cur][j][k][t]; if(!v) continue;
            int nwDiff = k + diff * (2*j - t); if(nwDiff > l) continue;
            // append left/right
            if(2*j>t) update(_dp[nxt][j][nwDiff][t], mul(v, 2*j-t));

            if(t<2) update(_dp[nxt][j][nwDiff][t+1], mul(v, 2-t));

            // connect 2 component
            if(j>1) update(_dp[nxt][j-1][nwDiff][t], mul(v, j-1));

            // add new component
            if(j+1>t) update(_dp[nxt][j+1][nwDiff][t], mul(v, j+1-t));

            if(t<2) update(_dp[nxt][j+1][nwDiff][t+1], mul(v, 2-t));
        }
    }

    int ans = 0;
    for(int i=0;i<=l;i++) update(ans, _dp[cur][1][i][2]);
    cout<<ans;

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 1484 KB Output is correct
3 Correct 1 ms 2764 KB Output is correct
4 Correct 2 ms 2764 KB Output is correct
5 Correct 2 ms 2764 KB Output is correct
6 Correct 2 ms 2764 KB Output is correct
7 Correct 2 ms 2756 KB Output is correct
8 Correct 2 ms 2764 KB Output is correct
9 Correct 1 ms 2764 KB Output is correct
10 Correct 2 ms 2764 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2764 KB Output is correct
2 Correct 2 ms 2764 KB Output is correct
3 Correct 2 ms 2764 KB Output is correct
4 Correct 2 ms 2756 KB Output is correct
5 Correct 2 ms 2756 KB Output is correct
6 Correct 2 ms 2764 KB Output is correct
7 Correct 2 ms 2764 KB Output is correct
8 Correct 2 ms 2764 KB Output is correct
9 Correct 2 ms 2764 KB Output is correct
10 Correct 2 ms 2764 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 1484 KB Output is correct
3 Correct 1 ms 2764 KB Output is correct
4 Correct 2 ms 2764 KB Output is correct
5 Correct 2 ms 2764 KB Output is correct
6 Correct 2 ms 2764 KB Output is correct
7 Correct 2 ms 2756 KB Output is correct
8 Correct 2 ms 2764 KB Output is correct
9 Correct 1 ms 2764 KB Output is correct
10 Correct 2 ms 2764 KB Output is correct
11 Correct 2 ms 2764 KB Output is correct
12 Correct 2 ms 2764 KB Output is correct
13 Correct 2 ms 2764 KB Output is correct
14 Correct 2 ms 2756 KB Output is correct
15 Correct 2 ms 2756 KB Output is correct
16 Correct 2 ms 2764 KB Output is correct
17 Correct 2 ms 2764 KB Output is correct
18 Correct 2 ms 2764 KB Output is correct
19 Correct 2 ms 2764 KB Output is correct
20 Correct 2 ms 2764 KB Output is correct
21 Correct 3 ms 2760 KB Output is correct
22 Correct 37 ms 2840 KB Output is correct
23 Correct 21 ms 2764 KB Output is correct
24 Correct 24 ms 2824 KB Output is correct
25 Correct 27 ms 2764 KB Output is correct
26 Correct 21 ms 2748 KB Output is correct
27 Correct 15 ms 2764 KB Output is correct
28 Correct 18 ms 2764 KB Output is correct
29 Correct 28 ms 2764 KB Output is correct
30 Correct 25 ms 2848 KB Output is correct