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Submission #761494

# Submission time Handle Problem Language Result Execution time Memory
761494 2023-06-19T19:50:30 Z raysh07 Sequence (APIO23_sequence) C++17
100 / 100
 860 ms 64516 KB 
#include <bits/stdc++.h>
using namespace std;

struct Node{
	int prefmx, prefmn, sufmx, sufmn, tot, val, totmn, totmx;
};

const int N = 5e5 + 69;
Node seg[4 * N];
Node res;
int n;

Node combine(Node a, Node b){
	Node ok;
	ok.tot = a.tot + b.tot;
	ok.prefmx = max(a.prefmx, b.prefmx + a.totmx);
	ok.prefmn = min(a.prefmn, b.prefmn + a.totmn);
	ok.sufmx = max(b.sufmx, a.sufmx + b.totmx);
	ok.sufmn = min(b.sufmn, a.sufmn + b.totmn);
	ok.val = a.val + b.val;
	ok.totmx = a.totmx + b.totmx;
	ok.totmn = a.totmn + b.totmn;
	return ok;
}

void upd(int l, int r, int pos, int qp, int v){
	if (l == r){
		seg[pos].tot = seg[pos].totmn = seg[pos].totmx = v;
		seg[pos].prefmx = max(v, 0);
		seg[pos].prefmn = min(v, 0);
		seg[pos].sufmx = max(v, 0);
		seg[pos].sufmn = min(v, 0);
		seg[pos].val = v == 0;
		if (v == 0){
			seg[pos].sufmx = 1;
			seg[pos].sufmn = -1;
			seg[pos].prefmn = -1;
			seg[pos].prefmx = 1;
			seg[pos].totmn = -1;
			seg[pos].totmx = 1;
		}
		return;
	}

	int mid = (l + r)/2;
	if (qp <= mid) upd(l, mid, pos*2, qp, v);
	else upd(mid + 1, r, pos*2 + 1, qp, v);

	seg[pos] = combine(seg[pos * 2], seg[pos * 2 + 1]);
}

void query(int l, int r, int pos, int ql, int qr){
	if (l >= ql && r <= qr) {
		res = combine(res, seg[pos]);
		return;
	} else if (l > qr || r < ql) return;

	int mid = (l + r)/2;
	query(l, mid, pos*2, ql, qr);
	query(mid + 1, r, pos*2 + 1, ql, qr);
}

Node query(int ql, int qr){
	res.tot = res.prefmx = res.prefmn = res.sufmx = res.sufmn = res.val = res.totmn = res.totmx = 0;
	query(0, n - 1, 1, ql, qr);
	return res;
}

void print(Node a){
	cout << a.tot << " " << a.val << " " << a.sufmx << " " << a.sufmn << " " << a.prefmx << " " << a.prefmn << "\n";
}

bool good(int a, int b){
	Node g1 = query(a, b);
	Node g2 = query(0, a - 1);
	Node g3 = query(b + 1, n - 1);

	// cout << a << " " << b << "\n";
	// print(g1);
	// print(g2);
	// print(g3);

	int x = g1.val;
	//balance needs to be in range (-x, x) 
	if (g1.tot + g2.sufmx + g3.prefmx < -x) return false;
	if (g1.tot + g2.sufmn + g3.prefmn > x) return false;
	return true;
}

int sequence(int m, vector <int> a){
	//l1 < a + l2 
	//l2 < a + l1
	//l1 - l2 < a
	//l2 -l1 < a, l1 - l2 > -a
	//l1 - l2 in range (-a, a)
	//l1 is smaller stuff
	//l2 is larger stuff 
	n = m;
	vector <int> adj[n + 1];

	for (int i = 0; i < n; i++){
		upd(0, n - 1, 1, i, 1);
		adj[a[i]].push_back(i);
	}

	int ans = 0;

	for (int i = 1; i <= n; i++){
		for (auto x : adj[i]){
			upd(0, n - 1, 1, x, 0);
		}

		int r = 0;
		for (int l = 0; l < adj[i].size(); l++){
			r = max(r, l);
			while ((r + 1) < adj[i].size() && good(adj[i][l], adj[i][r + 1])){
				r++;
			}

		//	cout << "L " << l << " " << r << "\n";

			ans = max(ans, r - l + 1);
		}

		// for (int l = 0; l < (int)adj[i].size(); l++){
		// 	for (int r = l; r < (int)adj[i].size(); r++){
		// 		if (good(adj[i][l], adj[i][r])) ans = max(ans, r - l + 1);
		// 	}
		// }

		for (auto x : adj[i]){
			upd(0, n - 1, 1, x, -1);
		}
	}

	return ans;
}

// int main(){
// 	int n; cin >> n;

// 	vector <int> a(n);
// 	for (auto &x : a) cin >> x;

// 	cout << sequence(n, a) << "\n";
// 	return 0;
// }

Compilation message

sequence.cpp: In function 'int sequence(int, std::vector<int>)':
sequence.cpp:114:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  114 |   for (int l = 0; l < adj[i].size(); l++){
      |                   ~~^~~~~~~~~~~~~~~
sequence.cpp:116:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  116 |    while ((r + 1) < adj[i].size() && good(adj[i][l], adj[i][r + 1])){
      |           ~~~~~~~~^~~~~~~~~~~~~~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 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 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 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 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 444 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 2 ms 468 KB Output is correct
20 Correct 2 ms 468 KB Output is correct
21 Correct 2 ms 468 KB Output is correct
22 Correct 2 ms 468 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 454 ms 58780 KB Output is correct
3 Correct 460 ms 58712 KB Output is correct
4 Correct 726 ms 50884 KB Output is correct
5 Correct 480 ms 57804 KB Output is correct
6 Correct 447 ms 57676 KB Output is correct
7 Correct 721 ms 51148 KB Output is correct
8 Correct 698 ms 51416 KB Output is correct
9 Correct 653 ms 50892 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 795 ms 51020 KB Output is correct
3 Correct 715 ms 50888 KB Output is correct
4 Correct 785 ms 50880 KB Output is correct
5 Correct 652 ms 51016 KB Output is correct
6 Correct 820 ms 50972 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 490 ms 64432 KB Output is correct
2 Correct 470 ms 64348 KB Output is correct
3 Correct 475 ms 63836 KB Output is correct
4 Correct 507 ms 63820 KB Output is correct
5 Correct 477 ms 60536 KB Output is correct
6 Correct 527 ms 60460 KB Output is correct
7 Correct 448 ms 59328 KB Output is correct
8 Correct 451 ms 58912 KB Output is correct

Subtask #6
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 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 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 444 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 2 ms 468 KB Output is correct
20 Correct 2 ms 468 KB Output is correct
21 Correct 2 ms 468 KB Output is correct
22 Correct 2 ms 468 KB Output is correct
23 Correct 95 ms 12596 KB Output is correct
24 Correct 86 ms 12500 KB Output is correct
25 Correct 83 ms 12604 KB Output is correct
26 Correct 110 ms 11684 KB Output is correct
27 Correct 108 ms 11688 KB Output is correct
28 Correct 113 ms 11796 KB Output is correct
29 Correct 106 ms 11348 KB Output is correct
30 Correct 111 ms 11480 KB Output is correct
31 Correct 86 ms 11388 KB Output is correct
32 Correct 50 ms 13524 KB Output is correct
33 Correct 87 ms 12428 KB Output is correct
34 Correct 85 ms 12372 KB Output is correct
35 Correct 93 ms 12368 KB Output is correct
36 Correct 89 ms 12360 KB Output is correct
37 Correct 88 ms 12372 KB Output is correct
38 Correct 88 ms 12360 KB Output is correct

Subtask #7
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 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 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 2 ms 444 KB Output is correct
15 Correct 2 ms 468 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 2 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 2 ms 468 KB Output is correct
20 Correct 2 ms 468 KB Output is correct
21 Correct 2 ms 468 KB Output is correct
22 Correct 2 ms 468 KB Output is correct
23 Correct 454 ms 58780 KB Output is correct
24 Correct 460 ms 58712 KB Output is correct
25 Correct 726 ms 50884 KB Output is correct
26 Correct 480 ms 57804 KB Output is correct
27 Correct 447 ms 57676 KB Output is correct
28 Correct 721 ms 51148 KB Output is correct
29 Correct 698 ms 51416 KB Output is correct
30 Correct 653 ms 50892 KB Output is correct
31 Correct 795 ms 51020 KB Output is correct
32 Correct 715 ms 50888 KB Output is correct
33 Correct 785 ms 50880 KB Output is correct
34 Correct 652 ms 51016 KB Output is correct
35 Correct 820 ms 50972 KB Output is correct
36 Correct 490 ms 64432 KB Output is correct
37 Correct 470 ms 64348 KB Output is correct
38 Correct 475 ms 63836 KB Output is correct
39 Correct 507 ms 63820 KB Output is correct
40 Correct 477 ms 60536 KB Output is correct
41 Correct 527 ms 60460 KB Output is correct
42 Correct 448 ms 59328 KB Output is correct
43 Correct 451 ms 58912 KB Output is correct
44 Correct 95 ms 12596 KB Output is correct
45 Correct 86 ms 12500 KB Output is correct
46 Correct 83 ms 12604 KB Output is correct
47 Correct 110 ms 11684 KB Output is correct
48 Correct 108 ms 11688 KB Output is correct
49 Correct 113 ms 11796 KB Output is correct
50 Correct 106 ms 11348 KB Output is correct
51 Correct 111 ms 11480 KB Output is correct
52 Correct 86 ms 11388 KB Output is correct
53 Correct 50 ms 13524 KB Output is correct
54 Correct 87 ms 12428 KB Output is correct
55 Correct 85 ms 12372 KB Output is correct
56 Correct 93 ms 12368 KB Output is correct
57 Correct 89 ms 12360 KB Output is correct
58 Correct 88 ms 12372 KB Output is correct
59 Correct 88 ms 12360 KB Output is correct
60 Correct 759 ms 58716 KB Output is correct
61 Correct 757 ms 58812 KB Output is correct
62 Correct 728 ms 58712 KB Output is correct
63 Correct 845 ms 51996 KB Output is correct
64 Correct 860 ms 52008 KB Output is correct
65 Correct 854 ms 51972 KB Output is correct
66 Correct 788 ms 50920 KB Output is correct
67 Correct 787 ms 51140 KB Output is correct
68 Correct 520 ms 50752 KB Output is correct
69 Correct 335 ms 64516 KB Output is correct
70 Correct 772 ms 57712 KB Output is correct
71 Correct 756 ms 57540 KB Output is correct
72 Correct 736 ms 57088 KB Output is correct
73 Correct 751 ms 57452 KB Output is correct
74 Correct 756 ms 57044 KB Output is correct
75 Correct 746 ms 57448 KB Output is correct