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Submission #924253

# Submission time Handle Problem Language Result Execution time Memory
924253 2024-02-08T17:11:04 Z raysh07 Pilot (NOI19_pilot) C++17
100 / 100
 373 ms 75444 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define INF (int)1e18
#define f first
#define s second
const int N=2e5+69;
int ans=0;
mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());


class DisjointSets {
  private:
    vector<int> parents;
    vector<int> sizes;

  public:
    DisjointSets(int size) : parents(size), sizes(size, 1) {
        for (int i = 0; i < size; i++) { parents[i] = i; }
    }

    /** @return the "representative" node in x's component */
    int find(int x) {
        return parents[x] == x ? x : (parents[x] = find(parents[x]));
    }

    /** @return whether the merge changed connectivity */
    bool unite(int x, int y) {
        int x_root = find(x);
        int y_root = find(y);
        if (x_root == y_root) 
            { return false;
            }

        ans+=sizes[x_root]*sizes[y_root];
        if (sizes[x_root] < sizes[y_root]) { swap(x_root, y_root); }
        sizes[x_root] += sizes[y_root];
        parents[y_root] = x_root;
        return true;
    }

    /** @return whether x and y are in the same connected component */
    bool connected(int x, int y) { return find(x) == find(y); }
};

void Solve(){
    int n,q;
    cin>>n>>q;
    int H[n];
    int A[q];
    const int N = 1e6 + 1;
    vector <int> mp(N, 0);
    for(int i=0;i<n;i++)
        cin>>H[i];
    
    for(int i=0;i<q;i++)
        cin>>A[i];

    vector <pair<int,int>> vec;
    
    for(int i=0;i<n;i++)
        vec.push_back({H[i],i});
    DisjointSets ds(n);
    
    sort(vec.begin(),vec.end());

    int cnt = 0;
    for(auto [x,i]: vec){
        if(i!=0&&H[i-1]<=H[i]){
            ds.unite(i-1,i); 
        }
        if(i!=n-1 && H[i+1]<=H[i])
            ds.unite(i,i+1); 
        cnt++;
        mp[x] = ans + cnt;
    }
    
    int last = 0;
    for (int i = 1; i < N; i++){
        if (mp[i]) last = mp[i];
        mp[i] = last;
    }
    
    for(int i=0;i<q;i++){
        cout << mp[A[i]] << "\n";
    }
}
int32_t main() 
{
    auto begin = std::chrono::high_resolution_clock::now();
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int t = 1;
    // freopen("in",  "r", stdin);
    // freopen("out", "w", stdout);
    
    //cin >> t;
    for(int i = 1; i <= t; i++) 
    {
        //cout << "Case #" << i << ": ";
        Solve();
    }
    auto end = std::chrono::high_resolution_clock::now();
    auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
    cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n"; 
    return 0;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8284 KB Output is correct
2 Correct 2 ms 8284 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 2 ms 8284 KB Output is correct
5 Correct 2 ms 8284 KB Output is correct
6 Correct 2 ms 8284 KB Output is correct
7 Correct 2 ms 8284 KB Output is correct
8 Correct 2 ms 8284 KB Output is correct
9 Correct 2 ms 8184 KB Output is correct
10 Correct 2 ms 8284 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8284 KB Output is correct
2 Correct 2 ms 8284 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 2 ms 8284 KB Output is correct
5 Correct 2 ms 8284 KB Output is correct
6 Correct 2 ms 8284 KB Output is correct
7 Correct 2 ms 8284 KB Output is correct
8 Correct 2 ms 8284 KB Output is correct
9 Correct 2 ms 8184 KB Output is correct
10 Correct 2 ms 8284 KB Output is correct
11 Correct 2 ms 8280 KB Output is correct
12 Correct 2 ms 8284 KB Output is correct
13 Correct 2 ms 8284 KB Output is correct
14 Correct 3 ms 8284 KB Output is correct
15 Correct 2 ms 8284 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8284 KB Output is correct
2 Correct 2 ms 8284 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 2 ms 8284 KB Output is correct
5 Correct 2 ms 8284 KB Output is correct
6 Correct 2 ms 8284 KB Output is correct
7 Correct 2 ms 8284 KB Output is correct
8 Correct 2 ms 8284 KB Output is correct
9 Correct 2 ms 8184 KB Output is correct
10 Correct 2 ms 8284 KB Output is correct
11 Correct 2 ms 8280 KB Output is correct
12 Correct 2 ms 8284 KB Output is correct
13 Correct 2 ms 8284 KB Output is correct
14 Correct 3 ms 8284 KB Output is correct
15 Correct 2 ms 8284 KB Output is correct
16 Correct 3 ms 8284 KB Output is correct
17 Correct 2 ms 8284 KB Output is correct
18 Correct 2 ms 8284 KB Output is correct
19 Correct 2 ms 8284 KB Output is correct
20 Correct 2 ms 8284 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8284 KB Output is correct
2 Correct 2 ms 8284 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 2 ms 8284 KB Output is correct
5 Correct 2 ms 8284 KB Output is correct
6 Correct 2 ms 8284 KB Output is correct
7 Correct 2 ms 8284 KB Output is correct
8 Correct 2 ms 8284 KB Output is correct
9 Correct 2 ms 8184 KB Output is correct
10 Correct 2 ms 8284 KB Output is correct
11 Correct 2 ms 8280 KB Output is correct
12 Correct 2 ms 8284 KB Output is correct
13 Correct 2 ms 8284 KB Output is correct
14 Correct 3 ms 8284 KB Output is correct
15 Correct 2 ms 8284 KB Output is correct
16 Correct 3 ms 8284 KB Output is correct
17 Correct 2 ms 8284 KB Output is correct
18 Correct 2 ms 8284 KB Output is correct
19 Correct 2 ms 8284 KB Output is correct
20 Correct 2 ms 8284 KB Output is correct
21 Correct 3 ms 8284 KB Output is correct
22 Correct 2 ms 8284 KB Output is correct
23 Correct 2 ms 8284 KB Output is correct
24 Correct 2 ms 8284 KB Output is correct
25 Correct 2 ms 8284 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 11984 KB Output is correct
2 Correct 22 ms 11988 KB Output is correct
3 Correct 20 ms 11732 KB Output is correct
4 Correct 19 ms 11732 KB Output is correct
5 Correct 19 ms 11732 KB Output is correct

Subtask #6
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 13524 KB Output is correct
2 Correct 25 ms 13520 KB Output is correct
3 Correct 28 ms 13520 KB Output is correct
4 Correct 30 ms 13764 KB Output is correct
5 Correct 24 ms 13448 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 13512 KB Output is correct
2 Correct 26 ms 13532 KB Output is correct
3 Correct 25 ms 13520 KB Output is correct
4 Correct 29 ms 13776 KB Output is correct
5 Correct 26 ms 13628 KB Output is correct

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8284 KB Output is correct
2 Correct 2 ms 8284 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 2 ms 8284 KB Output is correct
5 Correct 2 ms 8284 KB Output is correct
6 Correct 2 ms 8284 KB Output is correct
7 Correct 2 ms 8284 KB Output is correct
8 Correct 2 ms 8284 KB Output is correct
9 Correct 2 ms 8184 KB Output is correct
10 Correct 2 ms 8284 KB Output is correct
11 Correct 20 ms 11984 KB Output is correct
12 Correct 22 ms 11988 KB Output is correct
13 Correct 20 ms 11732 KB Output is correct
14 Correct 19 ms 11732 KB Output is correct
15 Correct 19 ms 11732 KB Output is correct
16 Correct 19 ms 11732 KB Output is correct
17 Correct 21 ms 11988 KB Output is correct
18 Correct 20 ms 11988 KB Output is correct
19 Correct 19 ms 11732 KB Output is correct
20 Correct 20 ms 11988 KB Output is correct
21 Correct 22 ms 11768 KB Output is correct
22 Correct 19 ms 11732 KB Output is correct
23 Correct 21 ms 11988 KB Output is correct
24 Correct 20 ms 11692 KB Output is correct
25 Correct 20 ms 11988 KB Output is correct

Subtask #9
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8284 KB Output is correct
2 Correct 2 ms 8284 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 2 ms 8284 KB Output is correct
5 Correct 2 ms 8284 KB Output is correct
6 Correct 2 ms 8284 KB Output is correct
7 Correct 2 ms 8284 KB Output is correct
8 Correct 2 ms 8284 KB Output is correct
9 Correct 2 ms 8184 KB Output is correct
10 Correct 2 ms 8284 KB Output is correct
11 Correct 2 ms 8280 KB Output is correct
12 Correct 2 ms 8284 KB Output is correct
13 Correct 2 ms 8284 KB Output is correct
14 Correct 3 ms 8284 KB Output is correct
15 Correct 2 ms 8284 KB Output is correct
16 Correct 3 ms 8284 KB Output is correct
17 Correct 2 ms 8284 KB Output is correct
18 Correct 2 ms 8284 KB Output is correct
19 Correct 2 ms 8284 KB Output is correct
20 Correct 2 ms 8284 KB Output is correct
21 Correct 3 ms 8284 KB Output is correct
22 Correct 2 ms 8284 KB Output is correct
23 Correct 2 ms 8284 KB Output is correct
24 Correct 2 ms 8284 KB Output is correct
25 Correct 2 ms 8284 KB Output is correct
26 Correct 20 ms 11984 KB Output is correct
27 Correct 22 ms 11988 KB Output is correct
28 Correct 20 ms 11732 KB Output is correct
29 Correct 19 ms 11732 KB Output is correct
30 Correct 19 ms 11732 KB Output is correct
31 Correct 25 ms 13524 KB Output is correct
32 Correct 25 ms 13520 KB Output is correct
33 Correct 28 ms 13520 KB Output is correct
34 Correct 30 ms 13764 KB Output is correct
35 Correct 24 ms 13448 KB Output is correct
36 Correct 26 ms 13512 KB Output is correct
37 Correct 26 ms 13532 KB Output is correct
38 Correct 25 ms 13520 KB Output is correct
39 Correct 29 ms 13776 KB Output is correct
40 Correct 26 ms 13628 KB Output is correct
41 Correct 19 ms 11732 KB Output is correct
42 Correct 21 ms 11988 KB Output is correct
43 Correct 20 ms 11988 KB Output is correct
44 Correct 19 ms 11732 KB Output is correct
45 Correct 20 ms 11988 KB Output is correct
46 Correct 22 ms 11768 KB Output is correct
47 Correct 19 ms 11732 KB Output is correct
48 Correct 21 ms 11988 KB Output is correct
49 Correct 20 ms 11692 KB Output is correct
50 Correct 20 ms 11988 KB Output is correct
51 Correct 33 ms 13512 KB Output is correct
52 Correct 41 ms 13276 KB Output is correct
53 Correct 35 ms 13516 KB Output is correct
54 Correct 31 ms 13264 KB Output is correct
55 Correct 33 ms 13512 KB Output is correct

Subtask #10
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8284 KB Output is correct
2 Correct 2 ms 8284 KB Output is correct
3 Correct 3 ms 8284 KB Output is correct
4 Correct 2 ms 8284 KB Output is correct
5 Correct 2 ms 8284 KB Output is correct
6 Correct 2 ms 8284 KB Output is correct
7 Correct 2 ms 8284 KB Output is correct
8 Correct 2 ms 8284 KB Output is correct
9 Correct 2 ms 8184 KB Output is correct
10 Correct 2 ms 8284 KB Output is correct
11 Correct 2 ms 8280 KB Output is correct
12 Correct 2 ms 8284 KB Output is correct
13 Correct 2 ms 8284 KB Output is correct
14 Correct 3 ms 8284 KB Output is correct
15 Correct 2 ms 8284 KB Output is correct
16 Correct 3 ms 8284 KB Output is correct
17 Correct 2 ms 8284 KB Output is correct
18 Correct 2 ms 8284 KB Output is correct
19 Correct 2 ms 8284 KB Output is correct
20 Correct 2 ms 8284 KB Output is correct
21 Correct 3 ms 8284 KB Output is correct
22 Correct 2 ms 8284 KB Output is correct
23 Correct 2 ms 8284 KB Output is correct
24 Correct 2 ms 8284 KB Output is correct
25 Correct 2 ms 8284 KB Output is correct
26 Correct 20 ms 11984 KB Output is correct
27 Correct 22 ms 11988 KB Output is correct
28 Correct 20 ms 11732 KB Output is correct
29 Correct 19 ms 11732 KB Output is correct
30 Correct 19 ms 11732 KB Output is correct
31 Correct 25 ms 13524 KB Output is correct
32 Correct 25 ms 13520 KB Output is correct
33 Correct 28 ms 13520 KB Output is correct
34 Correct 30 ms 13764 KB Output is correct
35 Correct 24 ms 13448 KB Output is correct
36 Correct 26 ms 13512 KB Output is correct
37 Correct 26 ms 13532 KB Output is correct
38 Correct 25 ms 13520 KB Output is correct
39 Correct 29 ms 13776 KB Output is correct
40 Correct 26 ms 13628 KB Output is correct
41 Correct 19 ms 11732 KB Output is correct
42 Correct 21 ms 11988 KB Output is correct
43 Correct 20 ms 11988 KB Output is correct
44 Correct 19 ms 11732 KB Output is correct
45 Correct 20 ms 11988 KB Output is correct
46 Correct 22 ms 11768 KB Output is correct
47 Correct 19 ms 11732 KB Output is correct
48 Correct 21 ms 11988 KB Output is correct
49 Correct 20 ms 11692 KB Output is correct
50 Correct 20 ms 11988 KB Output is correct
51 Correct 33 ms 13512 KB Output is correct
52 Correct 41 ms 13276 KB Output is correct
53 Correct 35 ms 13516 KB Output is correct
54 Correct 31 ms 13264 KB Output is correct
55 Correct 33 ms 13512 KB Output is correct
56 Correct 357 ms 61868 KB Output is correct
57 Correct 364 ms 75016 KB Output is correct
58 Correct 334 ms 71284 KB Output is correct
59 Correct 356 ms 71612 KB Output is correct
60 Correct 373 ms 75444 KB Output is correct