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Submission #538926

# Submission time Handle Problem Language Result Execution time Memory
538926 2022-03-18T04:40:24 Z _karan_gandhi Pilot (NOI19_pilot) C++17
100 / 100
 691 ms 71892 KB 
#include <bits/stdc++.h>
using namespace std;

#define all(v) v.begin(), v.end()
#define endl '\n'
#define pl(var) " [" << #var << ": " << (var) << "] "
#define ll long long

ll int cnt = 0;

struct DSU {
	vector<int> p, s;

	void init(int n) {
		p = vector<int>(n);
		s = vector<int>(n, 1);
		iota(all(p), 0);
	}

	int get(int x) {
		return p[x] = (p[x] == x ? x : get(p[x]));
	}

	void unite(int a, int b) {
		if (a == b) {
			cnt++;
			return;
		}
		a = get(a);
		b = get(b);


		if (a == b) {
			return;
		}

		if (s[a] > s[b]) swap(a, b);
		p[a] = b;
		cnt += ((ll int)s[b]) * ((ll int)s[a]);
		s[b] += s[a];
	}
};

void solve() {
	int n; cin >> n;
	int q; cin >> q;

	vector<int> arr(n); for (int i = 0; i < n; i++) cin >> arr[i];
	vector<pair<int, pair<int, int>>> edges;

	for (int i = 1; i < n; i++) {
		edges.emplace_back(max(arr[i], arr[i - 1]), make_pair(i, i - 1));
	}

	for (int i = 0; i < n; i++) {
		edges.emplace_back(arr[i], make_pair(i, i));
	}


	sort(all(edges));

	vector<pair<int, int>> qq;
	for (int i = 0; i < q; i++) {
		int a; cin >> a;
		qq.emplace_back(a, i);
	}
	// cout << "Hello" << endl;

	sort(all(qq));

	vector<ll int> ans(q);
	int ptr = 0;

	DSU dsu;
	dsu.init(n);

	for (int i = 0; i < q; i++) {
		int hi = qq[i].first;
		// cout << pl(hi) << endl;
		
		while (ptr < int(edges.size()) && edges[ptr].first <= hi) {
			dsu.unite(edges[ptr].second.first, edges[ptr].second.second);
			// cout << pl(edges[ptr].first) << pl(edges[ptr].second.first) << pl(edges[ptr].second.second) << pl(cnt) << endl;
			ptr++;
		}

		ans[qq[i].second] = cnt;
	}

	for (ll int a : ans) {
		cout << a << endl;
	}
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);

	int T = 1;
	// cin >> T;
	while (T--)
		solve();
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 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 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 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 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 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 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 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 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 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 340 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 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 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 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 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 340 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 34 ms 3916 KB Output is correct
2 Correct 32 ms 3912 KB Output is correct
3 Correct 31 ms 3912 KB Output is correct
4 Correct 36 ms 3872 KB Output is correct
5 Correct 33 ms 3872 KB Output is correct

Subtask #6
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 6340 KB Output is correct
2 Correct 67 ms 6324 KB Output is correct
3 Correct 54 ms 6204 KB Output is correct
4 Correct 55 ms 6488 KB Output is correct
5 Correct 56 ms 6268 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 6272 KB Output is correct
2 Correct 52 ms 6308 KB Output is correct
3 Correct 55 ms 6204 KB Output is correct
4 Correct 59 ms 6504 KB Output is correct
5 Correct 57 ms 6472 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 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 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 34 ms 3916 KB Output is correct
12 Correct 32 ms 3912 KB Output is correct
13 Correct 31 ms 3912 KB Output is correct
14 Correct 36 ms 3872 KB Output is correct
15 Correct 33 ms 3872 KB Output is correct
16 Correct 28 ms 3784 KB Output is correct
17 Correct 29 ms 3912 KB Output is correct
18 Correct 30 ms 3912 KB Output is correct
19 Correct 28 ms 3784 KB Output is correct
20 Correct 29 ms 3900 KB Output is correct
21 Correct 29 ms 3876 KB Output is correct
22 Correct 27 ms 3912 KB Output is correct
23 Correct 29 ms 3908 KB Output is correct
24 Correct 30 ms 3876 KB Output is correct
25 Correct 33 ms 3932 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 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 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 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 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 340 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 34 ms 3916 KB Output is correct
27 Correct 32 ms 3912 KB Output is correct
28 Correct 31 ms 3912 KB Output is correct
29 Correct 36 ms 3872 KB Output is correct
30 Correct 33 ms 3872 KB Output is correct
31 Correct 59 ms 6340 KB Output is correct
32 Correct 67 ms 6324 KB Output is correct
33 Correct 54 ms 6204 KB Output is correct
34 Correct 55 ms 6488 KB Output is correct
35 Correct 56 ms 6268 KB Output is correct
36 Correct 74 ms 6272 KB Output is correct
37 Correct 52 ms 6308 KB Output is correct
38 Correct 55 ms 6204 KB Output is correct
39 Correct 59 ms 6504 KB Output is correct
40 Correct 57 ms 6472 KB Output is correct
41 Correct 28 ms 3784 KB Output is correct
42 Correct 29 ms 3912 KB Output is correct
43 Correct 30 ms 3912 KB Output is correct
44 Correct 28 ms 3784 KB Output is correct
45 Correct 29 ms 3900 KB Output is correct
46 Correct 29 ms 3876 KB Output is correct
47 Correct 27 ms 3912 KB Output is correct
48 Correct 29 ms 3908 KB Output is correct
49 Correct 30 ms 3876 KB Output is correct
50 Correct 33 ms 3932 KB Output is correct
51 Correct 60 ms 6184 KB Output is correct
52 Correct 53 ms 6000 KB Output is correct
53 Correct 54 ms 6328 KB Output is correct
54 Correct 62 ms 6004 KB Output is correct
55 Correct 61 ms 6328 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 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 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 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 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 340 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 34 ms 3916 KB Output is correct
27 Correct 32 ms 3912 KB Output is correct
28 Correct 31 ms 3912 KB Output is correct
29 Correct 36 ms 3872 KB Output is correct
30 Correct 33 ms 3872 KB Output is correct
31 Correct 59 ms 6340 KB Output is correct
32 Correct 67 ms 6324 KB Output is correct
33 Correct 54 ms 6204 KB Output is correct
34 Correct 55 ms 6488 KB Output is correct
35 Correct 56 ms 6268 KB Output is correct
36 Correct 74 ms 6272 KB Output is correct
37 Correct 52 ms 6308 KB Output is correct
38 Correct 55 ms 6204 KB Output is correct
39 Correct 59 ms 6504 KB Output is correct
40 Correct 57 ms 6472 KB Output is correct
41 Correct 28 ms 3784 KB Output is correct
42 Correct 29 ms 3912 KB Output is correct
43 Correct 30 ms 3912 KB Output is correct
44 Correct 28 ms 3784 KB Output is correct
45 Correct 29 ms 3900 KB Output is correct
46 Correct 29 ms 3876 KB Output is correct
47 Correct 27 ms 3912 KB Output is correct
48 Correct 29 ms 3908 KB Output is correct
49 Correct 30 ms 3876 KB Output is correct
50 Correct 33 ms 3932 KB Output is correct
51 Correct 60 ms 6184 KB Output is correct
52 Correct 53 ms 6000 KB Output is correct
53 Correct 54 ms 6328 KB Output is correct
54 Correct 62 ms 6004 KB Output is correct
55 Correct 61 ms 6328 KB Output is correct
56 Correct 666 ms 56840 KB Output is correct
57 Correct 670 ms 70676 KB Output is correct
58 Correct 648 ms 66664 KB Output is correct
59 Correct 666 ms 68116 KB Output is correct
60 Correct 691 ms 71892 KB Output is correct