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Submission #698352

# Submission time Handle Problem Language Result Execution time Memory
698352 2023-02-13T09:20:26 Z ScarletS Pilot (NOI19_pilot) C++17
100 / 100
 597 ms 59988 KB 
#include <bits/stdc++.h>
#define ll long long
using namespace std;

ll ans = 0;

ll f(int x) {
    return (1LL * x * (x + 1)) / 2;
}

struct DSU {
    vector<int> pt, rk, val;
    DSU(int n) : pt(n), rk(n, 1), val(n) {
        for (int i = 0; i < n; ++i)
            pt[i] = i;
    }
    int find_set(int i) {
        return i == pt[i] ? i : pt[i] = find_set(pt[i]);
    }
    void unite(int i, int j) {
        i = find_set(i);
        j = find_set(j);
        if (i != j) {
            ans -= f(val[i]) + f(val[j]);
            if (rk[i] < rk[j])
                swap(i, j);
            pt[j] = i;
            rk[i] += rk[j];
            val[i] += val[j];
            ans += f(val[i]);
        }
    }
};

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    int n, q;
    cin >> n >> q;
    int h[n];
    ll query_ans[q];
    vector<array<int, 2>> v(n), x(q);
    vector<bool> dn(n);
    DSU dsu(n);
    for (int i = 0; i < n; ++i) {
        cin >> h[i];
        v[i] = {h[i], i};
    }
    for (int i = 0; i < q; ++i) {
        cin >> x[i][0];
        x[i][1] = i;
    }
    sort(v.rbegin(), v.rend());
    sort(x.begin(), x.end());
    for (auto i : x) {
        while (!v.empty() && v.back()[0] <= i[0]) {
            ++ans;
            dsu.val[v.back()[1]] = 1;
            dn[v.back()[1]] = true;
            if (v.back()[1] - 1 >= 0 && dn[v.back()[1] - 1] && h[v.back()[1] - 1] <= i[0])
                dsu.unite(v.back()[1], v.back()[1] - 1);
            if (v.back()[1] + 1 < n && dn[v.back()[1] + 1] && h[v.back()[1] + 1] <= i[0])
                dsu.unite(v.back()[1], v.back()[1] + 1);
            v.pop_back();
        }
        query_ans[i[1]] = ans;
    }
    for (int i = 0; i < q; ++i)
        cout << query_ans[i] << "\n";
    return 0;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 2616 KB Output is correct
2 Correct 23 ms 3304 KB Output is correct
3 Correct 21 ms 3028 KB Output is correct
4 Correct 20 ms 3028 KB Output is correct
5 Correct 21 ms 3020 KB Output is correct

Subtask #6
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 4860 KB Output is correct
2 Correct 37 ms 6084 KB Output is correct
3 Correct 38 ms 5976 KB Output is correct
4 Correct 38 ms 6144 KB Output is correct
5 Correct 36 ms 5952 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 4904 KB Output is correct
2 Correct 39 ms 6092 KB Output is correct
3 Correct 38 ms 6156 KB Output is correct
4 Correct 37 ms 6280 KB Output is correct
5 Correct 39 ms 6424 KB Output is correct

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 25 ms 2616 KB Output is correct
12 Correct 23 ms 3304 KB Output is correct
13 Correct 21 ms 3028 KB Output is correct
14 Correct 20 ms 3028 KB Output is correct
15 Correct 21 ms 3020 KB Output is correct
16 Correct 19 ms 3028 KB Output is correct
17 Correct 19 ms 3284 KB Output is correct
18 Correct 18 ms 3296 KB Output is correct
19 Correct 16 ms 2900 KB Output is correct
20 Correct 19 ms 3144 KB Output is correct
21 Correct 20 ms 2992 KB Output is correct
22 Correct 18 ms 3148 KB Output is correct
23 Correct 19 ms 3156 KB Output is correct
24 Correct 16 ms 2992 KB Output is correct
25 Correct 19 ms 3144 KB Output is correct

Subtask #9
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 25 ms 2616 KB Output is correct
27 Correct 23 ms 3304 KB Output is correct
28 Correct 21 ms 3028 KB Output is correct
29 Correct 20 ms 3028 KB Output is correct
30 Correct 21 ms 3020 KB Output is correct
31 Correct 35 ms 4860 KB Output is correct
32 Correct 37 ms 6084 KB Output is correct
33 Correct 38 ms 5976 KB Output is correct
34 Correct 38 ms 6144 KB Output is correct
35 Correct 36 ms 5952 KB Output is correct
36 Correct 40 ms 4904 KB Output is correct
37 Correct 39 ms 6092 KB Output is correct
38 Correct 38 ms 6156 KB Output is correct
39 Correct 37 ms 6280 KB Output is correct
40 Correct 39 ms 6424 KB Output is correct
41 Correct 19 ms 3028 KB Output is correct
42 Correct 19 ms 3284 KB Output is correct
43 Correct 18 ms 3296 KB Output is correct
44 Correct 16 ms 2900 KB Output is correct
45 Correct 19 ms 3144 KB Output is correct
46 Correct 20 ms 2992 KB Output is correct
47 Correct 18 ms 3148 KB Output is correct
48 Correct 19 ms 3156 KB Output is correct
49 Correct 16 ms 2992 KB Output is correct
50 Correct 19 ms 3144 KB Output is correct
51 Correct 48 ms 6028 KB Output is correct
52 Correct 49 ms 5976 KB Output is correct
53 Correct 46 ms 5964 KB Output is correct
54 Correct 45 ms 5844 KB Output is correct
55 Correct 50 ms 6064 KB Output is correct

Subtask #10
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 25 ms 2616 KB Output is correct
27 Correct 23 ms 3304 KB Output is correct
28 Correct 21 ms 3028 KB Output is correct
29 Correct 20 ms 3028 KB Output is correct
30 Correct 21 ms 3020 KB Output is correct
31 Correct 35 ms 4860 KB Output is correct
32 Correct 37 ms 6084 KB Output is correct
33 Correct 38 ms 5976 KB Output is correct
34 Correct 38 ms 6144 KB Output is correct
35 Correct 36 ms 5952 KB Output is correct
36 Correct 40 ms 4904 KB Output is correct
37 Correct 39 ms 6092 KB Output is correct
38 Correct 38 ms 6156 KB Output is correct
39 Correct 37 ms 6280 KB Output is correct
40 Correct 39 ms 6424 KB Output is correct
41 Correct 19 ms 3028 KB Output is correct
42 Correct 19 ms 3284 KB Output is correct
43 Correct 18 ms 3296 KB Output is correct
44 Correct 16 ms 2900 KB Output is correct
45 Correct 19 ms 3144 KB Output is correct
46 Correct 20 ms 2992 KB Output is correct
47 Correct 18 ms 3148 KB Output is correct
48 Correct 19 ms 3156 KB Output is correct
49 Correct 16 ms 2992 KB Output is correct
50 Correct 19 ms 3144 KB Output is correct
51 Correct 48 ms 6028 KB Output is correct
52 Correct 49 ms 5976 KB Output is correct
53 Correct 46 ms 5964 KB Output is correct
54 Correct 45 ms 5844 KB Output is correct
55 Correct 50 ms 6064 KB Output is correct
56 Correct 588 ms 58548 KB Output is correct
57 Correct 569 ms 58332 KB Output is correct
58 Correct 540 ms 55064 KB Output is correct
59 Correct 559 ms 56352 KB Output is correct
60 Correct 597 ms 59988 KB Output is correct