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Submission #625538

# Submission time Handle Problem Language Result Execution time Memory
625538 2022-08-10T14:34:14 Z timmyfeng Radio Towers (IOI22_towers) C++17
23 / 100
 4000 ms 101508 KB 
#include "towers.h"

#include <bits/stdc++.h>
using namespace std;

#include <bits/extc++.h>
using namespace __gnu_pbds;

template <class T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

vector<ordered_set<pair<int, int>>> settree;
vector<int> min_h, max_h, up, down, h;
int n;

void build(int u, int l, int r) {
	if (l + 1 == r) {
		min_h[u] = max_h[u] = h[l];
	} else {
		int m = (l + r) / 2;

		build(2 * u, l, m);
		build(2 * u + 1, m, r);

		min_h[u] = min(min_h[2 * u], min_h[2 * u + 1]);
		max_h[u] = max(max_h[2 * u], max_h[2 * u + 1]);
		up[u] = max({up[2 * u], up[2 * u + 1], max_h[2 * u + 1] - min_h[2 * u]});
		down[u] = max({down[2 * u], down[2 * u + 1], max_h[2 * u] - min_h[2 * u + 1]});
	}
}

void update(int a, int x, int u = 1, int l = 0, int r = n) {
	if (l + 1 < r) {
		int m = (l + r) / 2;
		if (a < m) update(a, x, 2 * u, l, m);
		else update(a, x, 2 * u + 1, m, r);
	}
	settree[u].insert({x, a});
}

void init(int n, vector<int> h) {
	::h = h, ::n = n;

	vector<pair<int, int>> points;
	for (int i = 0; i < n; ++i) {
		points.push_back({h[i], i});
	}

	sort(points.begin(), points.end());

	settree.resize(4 * n);

	set<array<int, 3>> ranges = {{INT_MIN, INT_MIN, -1}, {INT_MAX, INT_MAX, -1}};
	for (auto [hi, i] : points) {
		auto nxt = ranges.upper_bound({i, i, hi});
		auto prv = nxt; --prv;

		if (nxt->at(0) == i + 1 && prv->at(1) == i - 1) {
			update(i, hi - max(nxt->at(2), prv->at(2)));
		}

		int l = i, r = i, x = hi;
		if (nxt->at(0) == i + 1) {
			r = nxt->at(1);
			x = min(x, nxt->at(2));
			ranges.erase(nxt);
		}
		if (prv->at(1) == i - 1) {
			l = prv->at(0);
			x = min(x, prv->at(2));
			ranges.erase(prv);
		}
		
		ranges.insert({l, r, x});
	}

	max_h.resize(4 * n);
	min_h.resize(4 * n);
	up.resize(4 * n);
	down.resize(4 * n);

	build(1, 0, n);
}

int find_first(int a, int d, int &prefix, int u = 1, int l = 0, int r = n) {
	if (r <= a) return n;
	if (l + 1 == r) {
		return max_h[u] - prefix >= d ? l : n;
	}

	if (l >= a && up[u] < d && max_h[u] - prefix < d) {
		prefix = min(prefix, min_h[u]);
		return n;
	}

	int m = (l + r) / 2;
	int b = find_first(a, d, prefix, 2 * u, l, m);
	return b == n ? find_first(a, d, prefix, 2 * u + 1, m, r) : b;
}

int find_last(int b, int d, int &suffix, int u = 1, int l = 0, int r = n) {
	if (l > b) return -1;
	if (l + 1 == r) {
		return max_h[u] - suffix >= d ? l : -1;
	}

	if (r <= b + 1 && down[u] < d && max_h[u] - suffix < d) {
		suffix = min(suffix, min_h[u]);
		return -1;
	}

	int m = (l + r) / 2;
	int a = find_last(b, d, suffix, 2 * u + 1, m, r);
	return a == -1 ? find_last(b, d, suffix, 2 * u, l, m) : a;
}

int query(int a, int b, int d, int u = 1, int l = 0, int r = n) {
	if (a >= b || b <= l || r <= a) return 0;
	if (a <= l && r <= b) return settree[u].size() - settree[u].order_of_key({d, -1});
	int m = (l + r) / 2;
	return query(a, b, d, 2 * u, l, m) + query(a, b, d, 2 * u + 1, m, r);
}

int max_towers(int l, int r, int d) {
	/*
	int temp = h[l];
	l = find_first(l, d, temp);
	temp = h[r];
	r = find_last(r, d, temp);
	*/

	int min_h = h[l];
	while (l <= r && h[l] - min_h < d) {
		min_h = min(min_h, h[l]);
		++l;
	}

	min_h = h[r];
	while (l <= r && h[r] - min_h < d) {
		min_h = min(min_h, h[r]);
		--r;
	}

	return 1 + query(l, r + 1, d);
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1249 ms 27536 KB Output is correct
2 Execution timed out 4049 ms 46136 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 3 ms 1616 KB Output is correct
3 Correct 3 ms 1616 KB Output is correct
4 Correct 4 ms 1872 KB Output is correct
5 Correct 4 ms 1872 KB Output is correct
6 Correct 4 ms 1872 KB Output is correct
7 Correct 4 ms 1872 KB Output is correct
8 Correct 1 ms 1232 KB Output is correct
9 Correct 2 ms 1104 KB Output is correct
10 Correct 1 ms 1104 KB Output is correct
11 Correct 1 ms 1104 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 1 ms 1168 KB Output is correct
14 Correct 2 ms 1104 KB Output is correct
15 Correct 4 ms 1616 KB Output is correct
16 Correct 4 ms 1872 KB Output is correct
17 Correct 4 ms 1872 KB Output is correct
18 Correct 1 ms 1104 KB Output is correct
19 Correct 2 ms 1104 KB Output is correct
20 Correct 4 ms 1616 KB Output is correct
21 Correct 4 ms 1872 KB Output is correct
22 Correct 4 ms 1872 KB Output is correct
23 Correct 3 ms 1104 KB Output is correct
24 Correct 1 ms 1104 KB Output is correct
25 Correct 2 ms 848 KB Output is correct
26 Correct 4 ms 1736 KB Output is correct
27 Correct 4 ms 1616 KB Output is correct
28 Correct 4 ms 1872 KB Output is correct
29 Correct 4 ms 1960 KB Output is correct
30 Correct 4 ms 1872 KB Output is correct
31 Correct 4 ms 1872 KB Output is correct
32 Correct 2 ms 1224 KB Output is correct
33 Correct 1 ms 1104 KB Output is correct
34 Correct 1 ms 1104 KB Output is correct
35 Correct 2 ms 1104 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 3 ms 1616 KB Output is correct
3 Correct 3 ms 1616 KB Output is correct
4 Correct 4 ms 1872 KB Output is correct
5 Correct 4 ms 1872 KB Output is correct
6 Correct 4 ms 1872 KB Output is correct
7 Correct 4 ms 1872 KB Output is correct
8 Correct 1 ms 1232 KB Output is correct
9 Correct 2 ms 1104 KB Output is correct
10 Correct 1 ms 1104 KB Output is correct
11 Correct 1 ms 1104 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 1 ms 1168 KB Output is correct
14 Correct 2 ms 1104 KB Output is correct
15 Correct 4 ms 1616 KB Output is correct
16 Correct 4 ms 1872 KB Output is correct
17 Correct 4 ms 1872 KB Output is correct
18 Correct 1 ms 1104 KB Output is correct
19 Correct 2 ms 1104 KB Output is correct
20 Correct 4 ms 1616 KB Output is correct
21 Correct 4 ms 1872 KB Output is correct
22 Correct 4 ms 1872 KB Output is correct
23 Correct 3 ms 1104 KB Output is correct
24 Correct 1 ms 1104 KB Output is correct
25 Correct 2 ms 848 KB Output is correct
26 Correct 4 ms 1736 KB Output is correct
27 Correct 4 ms 1616 KB Output is correct
28 Correct 4 ms 1872 KB Output is correct
29 Correct 4 ms 1960 KB Output is correct
30 Correct 4 ms 1872 KB Output is correct
31 Correct 4 ms 1872 KB Output is correct
32 Correct 2 ms 1224 KB Output is correct
33 Correct 1 ms 1104 KB Output is correct
34 Correct 1 ms 1104 KB Output is correct
35 Correct 2 ms 1104 KB Output is correct
36 Correct 252 ms 53116 KB Output is correct
37 Correct 464 ms 83108 KB Output is correct
38 Correct 451 ms 82904 KB Output is correct
39 Correct 654 ms 101436 KB Output is correct
40 Correct 684 ms 101404 KB Output is correct
41 Correct 757 ms 101456 KB Output is correct
42 Correct 770 ms 101460 KB Output is correct
43 Correct 54 ms 46092 KB Output is correct
44 Correct 51 ms 46068 KB Output is correct
45 Correct 73 ms 46140 KB Output is correct
46 Correct 51 ms 45988 KB Output is correct
47 Correct 494 ms 82952 KB Output is correct
48 Correct 675 ms 101436 KB Output is correct
49 Correct 642 ms 101392 KB Output is correct
50 Correct 50 ms 45992 KB Output is correct
51 Correct 52 ms 46004 KB Output is correct
52 Correct 435 ms 83004 KB Output is correct
53 Correct 637 ms 101436 KB Output is correct
54 Correct 641 ms 101388 KB Output is correct
55 Correct 51 ms 46100 KB Output is correct
56 Correct 50 ms 46032 KB Output is correct
57 Correct 435 ms 80052 KB Output is correct
58 Correct 428 ms 83060 KB Output is correct
59 Correct 436 ms 83092 KB Output is correct
60 Correct 661 ms 101476 KB Output is correct
61 Correct 667 ms 101448 KB Output is correct
62 Correct 663 ms 101456 KB Output is correct
63 Correct 656 ms 101452 KB Output is correct
64 Correct 55 ms 46084 KB Output is correct
65 Correct 55 ms 45976 KB Output is correct
66 Correct 49 ms 46108 KB Output is correct
67 Correct 52 ms 46100 KB Output is correct

Subtask #4
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1360 ms 82252 KB Output is correct
2 Correct 1718 ms 82952 KB Output is correct
3 Correct 1535 ms 82996 KB Output is correct
4 Correct 1780 ms 101476 KB Output is correct
5 Correct 2076 ms 101408 KB Output is correct
6 Correct 2039 ms 101380 KB Output is correct
7 Correct 1961 ms 101440 KB Output is correct
8 Execution timed out 4067 ms 46092 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 450 ms 19000 KB Output is correct
2 Correct 1967 ms 82940 KB Output is correct
3 Correct 1868 ms 82980 KB Output is correct
4 Correct 2084 ms 101508 KB Output is correct
5 Correct 2201 ms 101396 KB Output is correct
6 Correct 1998 ms 101400 KB Output is correct
7 Correct 2236 ms 101384 KB Output is correct
8 Execution timed out 4067 ms 46036 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #6
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 3 ms 1616 KB Output is correct
3 Correct 3 ms 1616 KB Output is correct
4 Correct 4 ms 1872 KB Output is correct
5 Correct 4 ms 1872 KB Output is correct
6 Correct 4 ms 1872 KB Output is correct
7 Correct 4 ms 1872 KB Output is correct
8 Correct 1 ms 1232 KB Output is correct
9 Correct 2 ms 1104 KB Output is correct
10 Correct 1 ms 1104 KB Output is correct
11 Correct 1 ms 1104 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 1 ms 1168 KB Output is correct
14 Correct 2 ms 1104 KB Output is correct
15 Correct 4 ms 1616 KB Output is correct
16 Correct 4 ms 1872 KB Output is correct
17 Correct 4 ms 1872 KB Output is correct
18 Correct 1 ms 1104 KB Output is correct
19 Correct 2 ms 1104 KB Output is correct
20 Correct 4 ms 1616 KB Output is correct
21 Correct 4 ms 1872 KB Output is correct
22 Correct 4 ms 1872 KB Output is correct
23 Correct 3 ms 1104 KB Output is correct
24 Correct 1 ms 1104 KB Output is correct
25 Correct 2 ms 848 KB Output is correct
26 Correct 4 ms 1736 KB Output is correct
27 Correct 4 ms 1616 KB Output is correct
28 Correct 4 ms 1872 KB Output is correct
29 Correct 4 ms 1960 KB Output is correct
30 Correct 4 ms 1872 KB Output is correct
31 Correct 4 ms 1872 KB Output is correct
32 Correct 2 ms 1224 KB Output is correct
33 Correct 1 ms 1104 KB Output is correct
34 Correct 1 ms 1104 KB Output is correct
35 Correct 2 ms 1104 KB Output is correct
36 Correct 252 ms 53116 KB Output is correct
37 Correct 464 ms 83108 KB Output is correct
38 Correct 451 ms 82904 KB Output is correct
39 Correct 654 ms 101436 KB Output is correct
40 Correct 684 ms 101404 KB Output is correct
41 Correct 757 ms 101456 KB Output is correct
42 Correct 770 ms 101460 KB Output is correct
43 Correct 54 ms 46092 KB Output is correct
44 Correct 51 ms 46068 KB Output is correct
45 Correct 73 ms 46140 KB Output is correct
46 Correct 51 ms 45988 KB Output is correct
47 Correct 494 ms 82952 KB Output is correct
48 Correct 675 ms 101436 KB Output is correct
49 Correct 642 ms 101392 KB Output is correct
50 Correct 50 ms 45992 KB Output is correct
51 Correct 52 ms 46004 KB Output is correct
52 Correct 435 ms 83004 KB Output is correct
53 Correct 637 ms 101436 KB Output is correct
54 Correct 641 ms 101388 KB Output is correct
55 Correct 51 ms 46100 KB Output is correct
56 Correct 50 ms 46032 KB Output is correct
57 Correct 435 ms 80052 KB Output is correct
58 Correct 428 ms 83060 KB Output is correct
59 Correct 436 ms 83092 KB Output is correct
60 Correct 661 ms 101476 KB Output is correct
61 Correct 667 ms 101448 KB Output is correct
62 Correct 663 ms 101456 KB Output is correct
63 Correct 656 ms 101452 KB Output is correct
64 Correct 55 ms 46084 KB Output is correct
65 Correct 55 ms 45976 KB Output is correct
66 Correct 49 ms 46108 KB Output is correct
67 Correct 52 ms 46100 KB Output is correct
68 Correct 1360 ms 82252 KB Output is correct
69 Correct 1718 ms 82952 KB Output is correct
70 Correct 1535 ms 82996 KB Output is correct
71 Correct 1780 ms 101476 KB Output is correct
72 Correct 2076 ms 101408 KB Output is correct
73 Correct 2039 ms 101380 KB Output is correct
74 Correct 1961 ms 101440 KB Output is correct
75 Execution timed out 4067 ms 46092 KB Time limit exceeded
76 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1249 ms 27536 KB Output is correct
2 Execution timed out 4049 ms 46136 KB Time limit exceeded
3 Halted 0 ms 0 KB -