Submission #843583

# Submission time Handle Problem Language Result Execution time Memory
843583 2023-09-04T07:19:12 Z fanwen Pilot (NOI19_pilot) C++17
100 / 100
419 ms 52392 KB
#include <bits/stdc++.h>

using namespace std;

#define MASK(x) (1LL << (x))
#define BIT(x, i) (((x) >> (i)) & 1)
#define ALL(x) (x).begin(), (x).end()
#define REP(i, n) for (int i = 0, _n = n; i < _n; ++i)
#define FOR(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORD(i, a, b) for (int i = (a), _b = (b); i >= _b; --i)
#define FORE(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define debug(...) "[" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }

template <class A, class B> bool minimize(A &a, B b)  { if (a > b) { a = b; return true; } return false; }
template <class A, class B> bool maximize(A &a, B b)  { if (a < b) { a = b; return true; } return false; }

long long f(int x) { return 1LL * x * (x - 1) / 2; }

struct disjoint_set {
    vector <int> lab;
    disjoint_set (int n = 0) : lab(n + 1, -1) {}
    int find(int u) { return lab[u] < 0 ? u : lab[u] = find(lab[u]); }
    bool merge(int u, int v) {
        u = find(u); v = find(v);
        if(u == v) return false;
        if(lab[u] > lab[v]) swap(u, v);
        lab[u] += lab[v];
        lab[v] = u;
        return true;
    }
    bool same_component (int u, int v) { return find(u) == find(v); }
    int component_size(int i) { return -lab[find(i)]; } 
};

const int MAXN = 1e6 + 5;

int N, Q, dd[MAXN];
long long ans[MAXN], total_pair;
pair <int, int> a[MAXN], q[MAXN];

void you_make_it(void) {
	cin >> N >> Q;
	FOR(i, 1, N) cin >> a[i].first, a[i].second = i;
	FOR(i, 1, Q) cin >> q[i].first, q[i].second = i;
	sort(a + 1, a + N + 1), sort(q + 1, q + Q + 1);
	int j = 0;
	disjoint_set dsu(N);

	auto merge = [&] (int u, int v) {
		int a = dsu.component_size(u), b = dsu.component_size(v);
		if(dsu.merge(u, v)) {
			total_pair -= f(a) + f(b);
			total_pair += f(a + b);
		}
	};
	auto add = [&] (int i) {
		dd[i] = 1;
		if(i < N and dd[i + 1]) merge(i, i + 1);
		if(i > 1 and dd[i - 1]) merge(i, i - 1);
	};
	FOR(i, 1, Q) {
		auto [x, id] = q[i];
		while(j <= N and a[j].first <= x) {
			add(a[j++].second);
		}
		ans[id] = total_pair + j - 1;
	}
	FOR(i, 1, Q) cout << ans[i] << '\n';
}

signed main() {

#ifdef LOCAL
    freopen("TASK.inp", "r", stdin);
    freopen("TASK.out", "w", stdout);
#endif
    auto start_time = chrono::steady_clock::now();

    cin.tie(0), cout.tie(0) -> sync_with_stdio(0);

    you_make_it();

    auto end_time = chrono::steady_clock::now();

    cerr << "\nExecution time : " << chrono::duration_cast <chrono::milliseconds> (end_time - start_time).count() << "[ms]" << endl;

    return (0 ^ 0);
}

// Dream it. Wish it. Do it.
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4440 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4440 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4440 KB Output is correct
17 Correct 1 ms 4440 KB Output is correct
18 Correct 1 ms 4440 KB Output is correct
19 Correct 1 ms 4440 KB Output is correct
20 Correct 1 ms 4440 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4440 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4440 KB Output is correct
17 Correct 1 ms 4440 KB Output is correct
18 Correct 1 ms 4440 KB Output is correct
19 Correct 1 ms 4440 KB Output is correct
20 Correct 1 ms 4440 KB Output is correct
21 Correct 1 ms 4440 KB Output is correct
22 Correct 1 ms 4440 KB Output is correct
23 Correct 1 ms 4440 KB Output is correct
24 Correct 1 ms 4440 KB Output is correct
25 Correct 1 ms 4440 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 16 ms 7000 KB Output is correct
2 Correct 16 ms 7000 KB Output is correct
3 Correct 16 ms 7000 KB Output is correct
4 Correct 14 ms 6748 KB Output is correct
5 Correct 15 ms 7000 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 28 ms 10832 KB Output is correct
2 Correct 29 ms 10832 KB Output is correct
3 Correct 28 ms 10832 KB Output is correct
4 Correct 28 ms 10840 KB Output is correct
5 Correct 29 ms 10832 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 28 ms 10876 KB Output is correct
2 Correct 28 ms 10832 KB Output is correct
3 Correct 29 ms 10792 KB Output is correct
4 Correct 28 ms 10832 KB Output is correct
5 Correct 31 ms 10840 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 16 ms 7000 KB Output is correct
12 Correct 16 ms 7000 KB Output is correct
13 Correct 16 ms 7000 KB Output is correct
14 Correct 14 ms 6748 KB Output is correct
15 Correct 15 ms 7000 KB Output is correct
16 Correct 14 ms 7000 KB Output is correct
17 Correct 13 ms 7000 KB Output is correct
18 Correct 16 ms 7000 KB Output is correct
19 Correct 13 ms 7000 KB Output is correct
20 Correct 15 ms 7000 KB Output is correct
21 Correct 15 ms 6744 KB Output is correct
22 Correct 13 ms 6744 KB Output is correct
23 Correct 14 ms 7000 KB Output is correct
24 Correct 14 ms 7000 KB Output is correct
25 Correct 14 ms 7004 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4440 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4440 KB Output is correct
17 Correct 1 ms 4440 KB Output is correct
18 Correct 1 ms 4440 KB Output is correct
19 Correct 1 ms 4440 KB Output is correct
20 Correct 1 ms 4440 KB Output is correct
21 Correct 1 ms 4440 KB Output is correct
22 Correct 1 ms 4440 KB Output is correct
23 Correct 1 ms 4440 KB Output is correct
24 Correct 1 ms 4440 KB Output is correct
25 Correct 1 ms 4440 KB Output is correct
26 Correct 16 ms 7000 KB Output is correct
27 Correct 16 ms 7000 KB Output is correct
28 Correct 16 ms 7000 KB Output is correct
29 Correct 14 ms 6748 KB Output is correct
30 Correct 15 ms 7000 KB Output is correct
31 Correct 28 ms 10832 KB Output is correct
32 Correct 29 ms 10832 KB Output is correct
33 Correct 28 ms 10832 KB Output is correct
34 Correct 28 ms 10840 KB Output is correct
35 Correct 29 ms 10832 KB Output is correct
36 Correct 28 ms 10876 KB Output is correct
37 Correct 28 ms 10832 KB Output is correct
38 Correct 29 ms 10792 KB Output is correct
39 Correct 28 ms 10832 KB Output is correct
40 Correct 31 ms 10840 KB Output is correct
41 Correct 14 ms 7000 KB Output is correct
42 Correct 13 ms 7000 KB Output is correct
43 Correct 16 ms 7000 KB Output is correct
44 Correct 13 ms 7000 KB Output is correct
45 Correct 15 ms 7000 KB Output is correct
46 Correct 15 ms 6744 KB Output is correct
47 Correct 13 ms 6744 KB Output is correct
48 Correct 14 ms 7000 KB Output is correct
49 Correct 14 ms 7000 KB Output is correct
50 Correct 14 ms 7004 KB Output is correct
51 Correct 37 ms 10576 KB Output is correct
52 Correct 42 ms 10364 KB Output is correct
53 Correct 35 ms 10620 KB Output is correct
54 Correct 34 ms 10372 KB Output is correct
55 Correct 35 ms 10576 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4440 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4440 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4440 KB Output is correct
17 Correct 1 ms 4440 KB Output is correct
18 Correct 1 ms 4440 KB Output is correct
19 Correct 1 ms 4440 KB Output is correct
20 Correct 1 ms 4440 KB Output is correct
21 Correct 1 ms 4440 KB Output is correct
22 Correct 1 ms 4440 KB Output is correct
23 Correct 1 ms 4440 KB Output is correct
24 Correct 1 ms 4440 KB Output is correct
25 Correct 1 ms 4440 KB Output is correct
26 Correct 16 ms 7000 KB Output is correct
27 Correct 16 ms 7000 KB Output is correct
28 Correct 16 ms 7000 KB Output is correct
29 Correct 14 ms 6748 KB Output is correct
30 Correct 15 ms 7000 KB Output is correct
31 Correct 28 ms 10832 KB Output is correct
32 Correct 29 ms 10832 KB Output is correct
33 Correct 28 ms 10832 KB Output is correct
34 Correct 28 ms 10840 KB Output is correct
35 Correct 29 ms 10832 KB Output is correct
36 Correct 28 ms 10876 KB Output is correct
37 Correct 28 ms 10832 KB Output is correct
38 Correct 29 ms 10792 KB Output is correct
39 Correct 28 ms 10832 KB Output is correct
40 Correct 31 ms 10840 KB Output is correct
41 Correct 14 ms 7000 KB Output is correct
42 Correct 13 ms 7000 KB Output is correct
43 Correct 16 ms 7000 KB Output is correct
44 Correct 13 ms 7000 KB Output is correct
45 Correct 15 ms 7000 KB Output is correct
46 Correct 15 ms 6744 KB Output is correct
47 Correct 13 ms 6744 KB Output is correct
48 Correct 14 ms 7000 KB Output is correct
49 Correct 14 ms 7000 KB Output is correct
50 Correct 14 ms 7004 KB Output is correct
51 Correct 37 ms 10576 KB Output is correct
52 Correct 42 ms 10364 KB Output is correct
53 Correct 35 ms 10620 KB Output is correct
54 Correct 34 ms 10372 KB Output is correct
55 Correct 35 ms 10576 KB Output is correct
56 Correct 398 ms 49824 KB Output is correct
57 Correct 391 ms 51536 KB Output is correct
58 Correct 380 ms 50256 KB Output is correct
59 Correct 393 ms 50736 KB Output is correct
60 Correct 419 ms 52392 KB Output is correct