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답안 #916449

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
916449 2024-01-26T00:27:45 Z GusterGoose27 Team Contest (JOI22_team) C++17
100 / 100
 148 ms 19960 KB 
#include <bits/stdc++.h>

using namespace std;

const int MAXN = 15e4+5;
const int inf = 2e9;
typedef long long ll;
typedef array<int, 2> arr2;
typedef array<int, 3> arr3;

arr3 points[MAXN];
int n;

const arr2 def({-1, -1});

arr2 get_prev(set<arr2> &vals, arr2 cur) {
	auto v = vals.upper_bound(cur);
	if (v == vals.begin()) return def;
	return *(--v);
}

bool dom(arr2 a, arr2 b) {
	return a[0] >= b[0] && a[1] >= b[1];
}

arr2 rev(arr2 a) {
	return arr2({a[1], a[0]});
}

int main() {
	ios_base::sync_with_stdio(false); cin.tie(NULL);
	cin >> n;
	for (int i = 0; i < n; i++) {
		for (int j = 0; j < 3; j++) cin >> points[i][j];
	}
	sort(points, points+n);
	set<arr2> tail({{inf, inf}});
	set<arr2> tail_rev({{inf, inf}});
	arr2 bst[2] = {def, def};
	ll best = -1;
	for (int j = 0; j < n;) {
		int p = j;
		int x = points[j][0];
		while (points[j][0] == x) {
			if (points[j][1] < bst[0][0] && points[j][2] < bst[1][1])
				best = max(best, (ll)points[j][0]+bst[0][0]+bst[1][1]);
			j++;
		}
		for (int i = p; i < j; i++) {
			arr2 cur({points[i][1], points[i][2]});
			if (tail.find(cur) != tail.end()) continue;
			
			// case 1: add to tail

			arr2 prv = get_prev(tail, cur);
			arr2 nxt = *(tail.upper_bound(cur));
			if (((prv != def && dom(cur, prv)) ||
					(prv == def && dom(cur, bst[0]) && dom(cur, bst[1])))
					&& dom(nxt, cur)) { // added to tail
				tail.insert(cur);
				tail_rev.insert(rev(cur));
				continue;
			}
			
			// case 2: ignorable

			if (cur[0] <= bst[0][0] && cur[1] <= bst[0][1]) {
				continue;
			}

			// case 3: special insert

			arr2 s = *tail.begin();
			if (dom(s, cur)) {
				if (cur[0] > bst[0][0]) {
					bst[0] = cur;
				}
				else if (cur[1] > bst[1][1]) {
					bst[1] = cur;
				}
				continue;
			}

			// case 4: lower insert

			if (cur[1] < prv[1]) {
				arr2 popped;
				do {
					popped = *tail.begin();
					tail.erase(popped);
					tail_rev.erase(rev(popped));
				} while (popped != prv);
				bst[0] = cur;
				bst[1] = prv;
				continue;
			}

			prv = rev(get_prev(tail_rev, rev(cur)));
			nxt = rev(*tail_rev.upper_bound(rev(cur)));

			assert(cur[0] < prv[0]);
			arr2 popped;
			do {
				popped = *tail.begin();
				tail.erase(popped);
				tail_rev.erase(rev(popped));
			} while (popped != prv);
			bst[0] = prv;
			bst[1] = cur;
		}
	}
	cout << best << '\n';
}

Subtask #1
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 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 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 472 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct

Subtask #2
29.0 / 29.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 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 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 472 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 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 2 ms 484 KB Output is correct
27 Correct 2 ms 604 KB Output is correct
28 Correct 2 ms 604 KB Output is correct
29 Correct 3 ms 656 KB Output is correct
30 Correct 2 ms 344 KB Output is correct
31 Correct 2 ms 348 KB Output is correct
32 Correct 2 ms 348 KB Output is correct
33 Correct 2 ms 604 KB Output is correct
34 Correct 4 ms 860 KB Output is correct
35 Correct 1 ms 604 KB Output is correct
36 Correct 1 ms 344 KB Output is correct
37 Correct 3 ms 604 KB Output is correct
38 Correct 3 ms 600 KB Output is correct
39 Correct 1 ms 348 KB Output is correct

Subtask #3
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 34 ms 2140 KB Output is correct
12 Correct 21 ms 1628 KB Output is correct
13 Correct 24 ms 2384 KB Output is correct
14 Correct 36 ms 2968 KB Output is correct
15 Correct 30 ms 2904 KB Output is correct
16 Correct 27 ms 2908 KB Output is correct

Subtask #4
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 34 ms 2140 KB Output is correct
12 Correct 21 ms 1628 KB Output is correct
13 Correct 24 ms 2384 KB Output is correct
14 Correct 36 ms 2968 KB Output is correct
15 Correct 30 ms 2904 KB Output is correct
16 Correct 27 ms 2908 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 42 ms 3320 KB Output is correct
23 Correct 38 ms 2908 KB Output is correct
24 Correct 38 ms 2396 KB Output is correct
25 Correct 39 ms 3160 KB Output is correct
26 Correct 30 ms 3152 KB Output is correct

Subtask #5
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 34 ms 2140 KB Output is correct
12 Correct 21 ms 1628 KB Output is correct
13 Correct 24 ms 2384 KB Output is correct
14 Correct 36 ms 2968 KB Output is correct
15 Correct 30 ms 2904 KB Output is correct
16 Correct 27 ms 2908 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 42 ms 3320 KB Output is correct
23 Correct 38 ms 2908 KB Output is correct
24 Correct 38 ms 2396 KB Output is correct
25 Correct 39 ms 3160 KB Output is correct
26 Correct 30 ms 3152 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 2 ms 476 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 42 ms 3408 KB Output is correct
35 Correct 44 ms 3412 KB Output is correct
36 Correct 48 ms 3664 KB Output is correct
37 Correct 47 ms 4100 KB Output is correct
38 Correct 36 ms 3672 KB Output is correct
39 Correct 19 ms 2504 KB Output is correct

Subtask #6
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 34 ms 2140 KB Output is correct
12 Correct 21 ms 1628 KB Output is correct
13 Correct 24 ms 2384 KB Output is correct
14 Correct 36 ms 2968 KB Output is correct
15 Correct 30 ms 2904 KB Output is correct
16 Correct 27 ms 2908 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 42 ms 3320 KB Output is correct
23 Correct 38 ms 2908 KB Output is correct
24 Correct 38 ms 2396 KB Output is correct
25 Correct 39 ms 3160 KB Output is correct
26 Correct 30 ms 3152 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 2 ms 476 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 42 ms 3408 KB Output is correct
35 Correct 44 ms 3412 KB Output is correct
36 Correct 48 ms 3664 KB Output is correct
37 Correct 47 ms 4100 KB Output is correct
38 Correct 36 ms 3672 KB Output is correct
39 Correct 19 ms 2504 KB Output is correct
40 Correct 2 ms 348 KB Output is correct
41 Correct 2 ms 348 KB Output is correct
42 Correct 3 ms 604 KB Output is correct
43 Correct 3 ms 604 KB Output is correct
44 Correct 42 ms 4388 KB Output is correct
45 Correct 53 ms 4592 KB Output is correct
46 Correct 54 ms 4432 KB Output is correct
47 Correct 62 ms 4596 KB Output is correct
48 Correct 43 ms 4376 KB Output is correct

Subtask #7
27.0 / 27.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 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 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 472 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 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 2 ms 484 KB Output is correct
27 Correct 2 ms 604 KB Output is correct
28 Correct 2 ms 604 KB Output is correct
29 Correct 3 ms 656 KB Output is correct
30 Correct 2 ms 344 KB Output is correct
31 Correct 2 ms 348 KB Output is correct
32 Correct 2 ms 348 KB Output is correct
33 Correct 2 ms 604 KB Output is correct
34 Correct 4 ms 860 KB Output is correct
35 Correct 1 ms 604 KB Output is correct
36 Correct 1 ms 344 KB Output is correct
37 Correct 3 ms 604 KB Output is correct
38 Correct 3 ms 600 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 344 KB Output is correct
42 Correct 0 ms 344 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 34 ms 2140 KB Output is correct
51 Correct 21 ms 1628 KB Output is correct
52 Correct 24 ms 2384 KB Output is correct
53 Correct 36 ms 2968 KB Output is correct
54 Correct 30 ms 2904 KB Output is correct
55 Correct 27 ms 2908 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 1 ms 468 KB Output is correct
58 Correct 1 ms 344 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 42 ms 3320 KB Output is correct
62 Correct 38 ms 2908 KB Output is correct
63 Correct 38 ms 2396 KB Output is correct
64 Correct 39 ms 3160 KB Output is correct
65 Correct 30 ms 3152 KB Output is correct
66 Correct 1 ms 348 KB Output is correct
67 Correct 1 ms 348 KB Output is correct
68 Correct 1 ms 348 KB Output is correct
69 Correct 1 ms 348 KB Output is correct
70 Correct 2 ms 476 KB Output is correct
71 Correct 1 ms 344 KB Output is correct
72 Correct 1 ms 348 KB Output is correct
73 Correct 42 ms 3408 KB Output is correct
74 Correct 44 ms 3412 KB Output is correct
75 Correct 48 ms 3664 KB Output is correct
76 Correct 47 ms 4100 KB Output is correct
77 Correct 36 ms 3672 KB Output is correct
78 Correct 19 ms 2504 KB Output is correct
79 Correct 2 ms 348 KB Output is correct
80 Correct 2 ms 348 KB Output is correct
81 Correct 3 ms 604 KB Output is correct
82 Correct 3 ms 604 KB Output is correct
83 Correct 42 ms 4388 KB Output is correct
84 Correct 53 ms 4592 KB Output is correct
85 Correct 54 ms 4432 KB Output is correct
86 Correct 62 ms 4596 KB Output is correct
87 Correct 43 ms 4376 KB Output is correct
88 Correct 48 ms 6112 KB Output is correct
89 Correct 83 ms 7596 KB Output is correct
90 Correct 59 ms 6360 KB Output is correct
91 Correct 95 ms 7100 KB Output is correct
92 Correct 60 ms 5200 KB Output is correct
93 Correct 82 ms 6996 KB Output is correct
94 Correct 83 ms 7008 KB Output is correct
95 Correct 77 ms 9296 KB Output is correct
96 Correct 148 ms 19960 KB Output is correct
97 Correct 46 ms 5968 KB Output is correct
98 Correct 119 ms 13908 KB Output is correct
99 Correct 123 ms 14324 KB Output is correct