Submission #572497

# Submission time Handle Problem Language Result Execution time Memory
572497 2022-06-04T13:47:30 Z sidon Team Contest (JOI22_team) C++17
100 / 100
233 ms 29432 KB
#include <bits/stdc++.h>
using namespace std;
#define maxim(X, Y) (X = max(X, Y))
#define all(X) begin(X), end(X)

const int INF = 2e9+5;

struct DS : map<int, int> {
	void add(int i, int v) {
		auto f = upper_bound(i);
		if(f != begin() && prev(f)->second >= v) return;
		(*this)[i] = v;
		while(f != end() && f->second <= v)
			f = erase(f);
	}
	int query(int i) {
		auto f = upper_bound(i);
		if(f == begin()) return -INF;
		return prev(f)->second;
	}
};

struct BIT {
	int n;
	vector<DS> a;
	BIT(int N) : n(N), a(N+1) {}
	void update(int i, int j, int v) {
		for(++i; i <= n; i += i&-i) a[i].add(j, v);
	}
	int query(int i, int j) {
		int v = -INF;
		for(++i; i >= 1; i -= i&-i) maxim(v, a[i].query(j));
		return v;
	}
};

int main() {
	ios::sync_with_stdio(0), cin.tie(0);

	int N; cin >> N;
	array<int, 3> a[N];
	vector<int> C[2];
	array<int, 2> sz, c[N];

	for(auto &[x, y, z] : a) {
		cin >> x >> y >> z;
		C[0].push_back(x);
		C[1].push_back(y);
	}
	DS f[2];

	for(int i = 0; i < 2; ++i) {
		sort(all(C[i]));
		C[i].erase(unique(all(C[i])), end(C[i]));
		sz[i] = size(C[i]);
	}

	sort(a, a + N, [&](const auto &i, const auto &j) {
		return i[2] < j[2];
	});

	BIT b(sz[0]);

	for(int i = 0; i < N; ++i)
		for(int k = 0; k < 2; ++k)
			c[i][k] = sz[k] - 1 - (lower_bound(all(C[k]), a[i][k]) - begin(C[k]));

	int ans = -INF;

	for(int l = 0, r; l < N; l = r) {
		for(r = l + 1; r < N && a[l][2] == a[r][2]; ++r);

		for(int i = l; i < r; ++i)
			maxim(ans, a[i][2] + b.query(c[i][0] - 1, c[i][1] - 1));

		for(int i = l; i < r; ++i) {
			int j = f[0].query(sz[0] - 2 - c[i][0]);
			if(j > sz[1] - 1 - c[i][1])
				b.update(c[i][0], sz[1] - 1 - j, a[i][0] + C[1][j]);

			j = f[1].query(sz[1] - 2 - c[i][1]);
			if(j > sz[0] - 1 - c[i][0])
				b.update(sz[0] - 1 - j, c[i][1], a[i][1] + C[0][j]);

			for(int k = 0; k < 2; ++k)
				f[k].add(sz[k] - 1 - c[i][k], sz[!k] - 1 - c[i][!k]);
		}
	}

	cout << max(ans, int(-1));
}
# 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 0 ms 320 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 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 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 320 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 320 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
# 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 0 ms 320 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 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 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 320 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 320 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
26 Correct 4 ms 852 KB Output is correct
27 Correct 4 ms 724 KB Output is correct
28 Correct 4 ms 724 KB Output is correct
29 Correct 5 ms 596 KB Output is correct
30 Correct 3 ms 468 KB Output is correct
31 Correct 3 ms 468 KB Output is correct
32 Correct 3 ms 468 KB Output is correct
33 Correct 2 ms 588 KB Output is correct
34 Correct 4 ms 1104 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 2 ms 584 KB Output is correct
38 Correct 3 ms 596 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 320 KB Output is correct
8 Correct 1 ms 320 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 48 ms 5832 KB Output is correct
12 Correct 29 ms 3792 KB Output is correct
13 Correct 34 ms 4544 KB Output is correct
14 Correct 48 ms 5856 KB Output is correct
15 Correct 42 ms 5708 KB Output is correct
16 Correct 42 ms 5840 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 320 KB Output is correct
8 Correct 1 ms 320 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 48 ms 5832 KB Output is correct
12 Correct 29 ms 3792 KB Output is correct
13 Correct 34 ms 4544 KB Output is correct
14 Correct 48 ms 5856 KB Output is correct
15 Correct 42 ms 5708 KB Output is correct
16 Correct 42 ms 5840 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 67 ms 5952 KB Output is correct
23 Correct 56 ms 5736 KB Output is correct
24 Correct 45 ms 4180 KB Output is correct
25 Correct 59 ms 6084 KB Output is correct
26 Correct 44 ms 5952 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 320 KB Output is correct
8 Correct 1 ms 320 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 48 ms 5832 KB Output is correct
12 Correct 29 ms 3792 KB Output is correct
13 Correct 34 ms 4544 KB Output is correct
14 Correct 48 ms 5856 KB Output is correct
15 Correct 42 ms 5708 KB Output is correct
16 Correct 42 ms 5840 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 67 ms 5952 KB Output is correct
23 Correct 56 ms 5736 KB Output is correct
24 Correct 45 ms 4180 KB Output is correct
25 Correct 59 ms 6084 KB Output is correct
26 Correct 44 ms 5952 KB Output is correct
27 Correct 1 ms 312 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 316 KB Output is correct
31 Correct 3 ms 468 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 85 ms 6276 KB Output is correct
35 Correct 77 ms 6056 KB Output is correct
36 Correct 88 ms 6424 KB Output is correct
37 Correct 82 ms 6548 KB Output is correct
38 Correct 64 ms 6324 KB Output is correct
39 Correct 30 ms 3912 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 320 KB Output is correct
8 Correct 1 ms 320 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 48 ms 5832 KB Output is correct
12 Correct 29 ms 3792 KB Output is correct
13 Correct 34 ms 4544 KB Output is correct
14 Correct 48 ms 5856 KB Output is correct
15 Correct 42 ms 5708 KB Output is correct
16 Correct 42 ms 5840 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 67 ms 5952 KB Output is correct
23 Correct 56 ms 5736 KB Output is correct
24 Correct 45 ms 4180 KB Output is correct
25 Correct 59 ms 6084 KB Output is correct
26 Correct 44 ms 5952 KB Output is correct
27 Correct 1 ms 312 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 316 KB Output is correct
31 Correct 3 ms 468 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 85 ms 6276 KB Output is correct
35 Correct 77 ms 6056 KB Output is correct
36 Correct 88 ms 6424 KB Output is correct
37 Correct 82 ms 6548 KB Output is correct
38 Correct 64 ms 6324 KB Output is correct
39 Correct 30 ms 3912 KB Output is correct
40 Correct 3 ms 468 KB Output is correct
41 Correct 4 ms 456 KB Output is correct
42 Correct 3 ms 596 KB Output is correct
43 Correct 3 ms 584 KB Output is correct
44 Correct 112 ms 6976 KB Output is correct
45 Correct 128 ms 6960 KB Output is correct
46 Correct 117 ms 6868 KB Output is correct
47 Correct 113 ms 6956 KB Output is correct
48 Correct 65 ms 6972 KB Output is correct
# 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 0 ms 320 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 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 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 320 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 1 ms 320 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 320 KB Output is correct
26 Correct 4 ms 852 KB Output is correct
27 Correct 4 ms 724 KB Output is correct
28 Correct 4 ms 724 KB Output is correct
29 Correct 5 ms 596 KB Output is correct
30 Correct 3 ms 468 KB Output is correct
31 Correct 3 ms 468 KB Output is correct
32 Correct 3 ms 468 KB Output is correct
33 Correct 2 ms 588 KB Output is correct
34 Correct 4 ms 1104 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 2 ms 584 KB Output is correct
38 Correct 3 ms 596 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 0 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 1 ms 320 KB Output is correct
47 Correct 1 ms 320 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 48 ms 5832 KB Output is correct
51 Correct 29 ms 3792 KB Output is correct
52 Correct 34 ms 4544 KB Output is correct
53 Correct 48 ms 5856 KB Output is correct
54 Correct 42 ms 5708 KB Output is correct
55 Correct 42 ms 5840 KB Output is correct
56 Correct 0 ms 212 KB Output is correct
57 Correct 1 ms 212 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 67 ms 5952 KB Output is correct
62 Correct 56 ms 5736 KB Output is correct
63 Correct 45 ms 4180 KB Output is correct
64 Correct 59 ms 6084 KB Output is correct
65 Correct 44 ms 5952 KB Output is correct
66 Correct 1 ms 312 KB Output is correct
67 Correct 1 ms 340 KB Output is correct
68 Correct 1 ms 340 KB Output is correct
69 Correct 1 ms 316 KB Output is correct
70 Correct 3 ms 468 KB Output is correct
71 Correct 1 ms 340 KB Output is correct
72 Correct 1 ms 340 KB Output is correct
73 Correct 85 ms 6276 KB Output is correct
74 Correct 77 ms 6056 KB Output is correct
75 Correct 88 ms 6424 KB Output is correct
76 Correct 82 ms 6548 KB Output is correct
77 Correct 64 ms 6324 KB Output is correct
78 Correct 30 ms 3912 KB Output is correct
79 Correct 3 ms 468 KB Output is correct
80 Correct 4 ms 456 KB Output is correct
81 Correct 3 ms 596 KB Output is correct
82 Correct 3 ms 584 KB Output is correct
83 Correct 112 ms 6976 KB Output is correct
84 Correct 128 ms 6960 KB Output is correct
85 Correct 117 ms 6868 KB Output is correct
86 Correct 113 ms 6956 KB Output is correct
87 Correct 65 ms 6972 KB Output is correct
88 Correct 233 ms 20908 KB Output is correct
89 Correct 213 ms 15352 KB Output is correct
90 Correct 208 ms 17212 KB Output is correct
91 Correct 194 ms 13888 KB Output is correct
92 Correct 152 ms 9336 KB Output is correct
93 Correct 219 ms 14756 KB Output is correct
94 Correct 181 ms 11316 KB Output is correct
95 Correct 85 ms 10204 KB Output is correct
96 Correct 217 ms 29432 KB Output is correct
97 Correct 63 ms 8372 KB Output is correct
98 Correct 94 ms 11668 KB Output is correct
99 Correct 137 ms 11548 KB Output is correct