Submission #1081978

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1081978	2024-08-30T13:46:58 Z	vuavisao	Global Warming (CEOI18_glo)	C++14	100 / 100	437 ms	15216 KB

#include <bits/stdc++.h>
#pragma GCC optimize("O3", "unroll-loops")
using namespace std;

using ll = long long;

const int N = 200'000 + 10;

struct FenWick {
	int n_node = 0;
	vector<int> tree = {};

	void resize(int n) { n_node = n; tree.resize(n + 10, 0); }
	FenWick() {};
	FenWick(int n) { this -> resize(n); };

	void Update(int idx, int val) {
		for( ; idx <= n_node; idx += (idx & - idx)) tree[idx] = max(tree[idx], val);
		return;
	}

	int Query(int idx) {
		int res = 0;
		for( ; idx > 0; idx -= (idx & - idx)) res = max(res, tree[idx]);
		return res;
	}
	
	void reset(int idx) {
		for ( ; idx <= n_node; idx += (idx & - idx)) tree[idx] = 0;
		return;
	}
};

int n, x;
int a[N];

int b[4][N];

int prf[N][2];
int res;

void compress() {
	vector<int> Pos = {};
	for (int i = 1; i <= n; ++ i) {
		Pos.push_back(b[0][i]);
		Pos.push_back(b[1][i]);
		Pos.push_back(b[2][i]);
		Pos.push_back(b[3][i]);
	}
	
	sort(Pos.begin(), Pos.end());
	Pos.resize(unique(Pos.begin(), Pos.end()) - Pos.begin());

	for (int i = 1; i <= n; ++ i) {
		b[0][i] = lower_bound(Pos.begin(), Pos.end(), b[0][i]) - Pos.begin() + 1;
		b[1][i] = lower_bound(Pos.begin(), Pos.end(), b[1][i]) - Pos.begin() + 1;
		b[2][i] = lower_bound(Pos.begin(), Pos.end(), b[2][i]) - Pos.begin() + 1;
		b[3][i] = lower_bound(Pos.begin(), Pos.end(), b[3][i]) - Pos.begin() + 1;
	}
}

void solve() {
	for (int i = 1; i <= n; ++ i) {
		b[0][i] = a[i];
		b[1][i] = a[i] - x;
		b[2][i] = -b[0][i];
		b[3][i] = -b[1][i];
	}
	compress();
	FenWick bit[2];
	for (int i = 0; i < 2; ++ i) {
		bit[i] = FenWick(4 * n);
	}
	for (int i = 1; i <= n; ++ i) {
		int val[2] = {b[0][i], b[1][i]};
		prf[i][0] = bit[0].Query(val[0]);
		bit[0].Update(val[0] + 1, prf[i][0] + 1);

		prf[i][0] = max(prf[i][0], bit[1].Query(val[0]));
		
		prf[i][1] = bit[1].Query(val[1]);
		bit[1].Update(val[1] + 1, prf[i][1] + 1);
	}
	for (int i = 1; i <= n; ++ i) bit[0].reset(b[0][i] + 1);

	for (int i = n; i >= 1; -- i) {
		int best[2] = {bit[0].Query(b[2][i]), bit[0].Query(b[3][i])};
		res = max(res, best[0] + prf[i][0] + 1);
		res = max(res, best[1] + prf[i][1] + 1);
		bit[0].Update(b[2][i] + 1, best[0] + 1);
	}
}

int32_t main() {
	std::ios_base::sync_with_stdio(false);
	std::cin.tie(nullptr); std::cout.tie(nullptr);
	cin >> n >> x;
	for (int i = 1; i <= n; ++ i) cin >> a[i];
	solve();
	reverse(a + 1, a + 1 + n);
	for (int i = 1; i <= n; ++ i) a[i] = -a[i];
	solve();
	cout << res;
	return (0 ^ 0);
}

/// Code by vuavisao

Subtask #1
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	464 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	344 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	344 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct

Subtask #2
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	464 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	344 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	344 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	364 KB	Output is correct
17	Correct	0 ms	344 KB	Output is correct
18	Correct	1 ms	344 KB	Output is correct

Subtask #3
13.0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	464 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	344 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	344 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	364 KB	Output is correct
17	Correct	0 ms	344 KB	Output is correct
18	Correct	1 ms	344 KB	Output is correct
19	Correct	2 ms	344 KB	Output is correct
20	Correct	2 ms	348 KB	Output is correct
21	Correct	2 ms	344 KB	Output is correct
22	Correct	1 ms	348 KB	Output is correct
23	Correct	1 ms	348 KB	Output is correct
24	Correct	1 ms	348 KB	Output is correct
25	Correct	1 ms	348 KB	Output is correct
26	Correct	1 ms	348 KB	Output is correct

Subtask #4
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	372 ms	14964 KB	Output is correct
2	Correct	367 ms	14984 KB	Output is correct
3	Correct	350 ms	14964 KB	Output is correct
4	Correct	389 ms	14916 KB	Output is correct
5	Correct	155 ms	14192 KB	Output is correct

Subtask #5
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	83 ms	4056 KB	Output is correct
2	Correct	81 ms	4028 KB	Output is correct
3	Correct	79 ms	4124 KB	Output is correct
4	Correct	47 ms	3772 KB	Output is correct
5	Correct	0 ms	344 KB	Output is correct
6	Correct	43 ms	3780 KB	Output is correct
7	Correct	61 ms	4384 KB	Output is correct

Subtask #6
17.0 / 17.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	199 ms	7720 KB	Output is correct
2	Correct	200 ms	7580 KB	Output is correct
3	Correct	437 ms	15072 KB	Output is correct
4	Correct	181 ms	14196 KB	Output is correct
5	Correct	107 ms	7184 KB	Output is correct
6	Correct	187 ms	13716 KB	Output is correct
7	Correct	193 ms	14348 KB	Output is correct
8	Correct	147 ms	7900 KB	Output is correct

Subtask #7
25.0 / 25.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	464 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	344 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	344 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	364 KB	Output is correct
17	Correct	0 ms	344 KB	Output is correct
18	Correct	1 ms	344 KB	Output is correct
19	Correct	2 ms	344 KB	Output is correct
20	Correct	2 ms	348 KB	Output is correct
21	Correct	2 ms	344 KB	Output is correct
22	Correct	1 ms	348 KB	Output is correct
23	Correct	1 ms	348 KB	Output is correct
24	Correct	1 ms	348 KB	Output is correct
25	Correct	1 ms	348 KB	Output is correct
26	Correct	1 ms	348 KB	Output is correct
27	Correct	372 ms	14964 KB	Output is correct
28	Correct	367 ms	14984 KB	Output is correct
29	Correct	350 ms	14964 KB	Output is correct
30	Correct	389 ms	14916 KB	Output is correct
31	Correct	155 ms	14192 KB	Output is correct
32	Correct	83 ms	4056 KB	Output is correct
33	Correct	81 ms	4028 KB	Output is correct
34	Correct	79 ms	4124 KB	Output is correct
35	Correct	47 ms	3772 KB	Output is correct
36	Correct	0 ms	344 KB	Output is correct
37	Correct	43 ms	3780 KB	Output is correct
38	Correct	61 ms	4384 KB	Output is correct
39	Correct	199 ms	7720 KB	Output is correct
40	Correct	200 ms	7580 KB	Output is correct
41	Correct	437 ms	15072 KB	Output is correct
42	Correct	181 ms	14196 KB	Output is correct
43	Correct	107 ms	7184 KB	Output is correct
44	Correct	187 ms	13716 KB	Output is correct
45	Correct	193 ms	14348 KB	Output is correct
46	Correct	147 ms	7900 KB	Output is correct
47	Correct	180 ms	7596 KB	Output is correct
48	Correct	193 ms	7596 KB	Output is correct
49	Correct	401 ms	14916 KB	Output is correct
50	Correct	163 ms	14212 KB	Output is correct
51	Correct	155 ms	11836 KB	Output is correct
52	Correct	213 ms	14208 KB	Output is correct
53	Correct	193 ms	14240 KB	Output is correct
54	Correct	204 ms	14960 KB	Output is correct
55	Correct	292 ms	15216 KB	Output is correct

Submission #1081978

Compilation message

Subtask #1 5.0 / 5.0

Subtask #2 10.0 / 10.0

Subtask #3 13.0 / 13.0

Subtask #4 10.0 / 10.0

Subtask #5 20.0 / 20.0

Subtask #6 17.0 / 17.0

Subtask #7 25.0 / 25.0

Subtask #1
5.0 / 5.0

Subtask #2
10.0 / 10.0

Subtask #3
13.0 / 13.0

Subtask #4
10.0 / 10.0

Subtask #5
20.0 / 20.0

Subtask #6
17.0 / 17.0

Subtask #7
25.0 / 25.0