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Submission #887618

# Submission time Handle Problem Language Result Execution time Memory
887618 2023-12-14T20:37:18 Z MinaRagy06 Team Contest (JOI22_team) C++17
100 / 100
 292 ms 96380 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define md ((l + r) >> 1) 

const int inf = 1e9;
int y = -1, mncnt = 2, mxcnt = 2;
struct nodemn {
	int l, r, v;
	nodemn() {l = 0, r = 0, v = 1e9;}
} segmn[4'000'005];
struct nodemx {
	int l, r, v;
	nodemx() {l = 0, r = 0, v = -1e9;}
} segmx[4'000'005];
void updmn(int i, int l, int r, int x, int v) {
	if (l == r) {
		segmn[i].v = min(segmn[i].v, v);
		return;
	}
	if (x <= md) {
		if (!segmn[i].l) {
			segmn[i].l = mncnt++;
		}
		updmn(segmn[i].l, l, md, x, v);
	} else {
		if (!segmn[i].r) {
			segmn[i].r = mncnt++;
		}
		updmn(segmn[i].r, md + 1, r, x, v);
	}
	segmn[i].v = min(segmn[segmn[i].l].v, segmn[segmn[i].r].v);
}
void updmx(int i, int l, int r, int x, int v) {
	if (l == r) {
		segmx[i].v = max(segmx[i].v, v);
		return;
	}
	if (x <= md) {
		if (!segmx[i].l) {
			segmx[i].l = mxcnt++;
		}
		updmx(segmx[i].l, l, md, x, v);
	} else {
		if (!segmx[i].r) {
			segmx[i].r = mxcnt++;
		}
		updmx(segmx[i].r, md + 1, r, x, v);
	}
	segmx[i].v = max(segmx[segmx[i].l].v, segmx[segmx[i].r].v);
}
int getmn(int i, int l, int r, int s, int e) {
	if (i == 0 || r < s || e < l) {
		return 1e9;
	}
	if (s <= l && r <= e) {
		return segmn[i].v;
	}
	return min(getmn(segmn[i].l, l, md, s, e), getmn(segmn[i].r, md + 1, r, s, e));
}
int getmx(int i, int l, int r, int s, int e) {
	if (i == 0 || r < s || e < l) {
		return -1e9;
	}
	if (s <= l && r <= e) {
		return segmx[i].v;
	}
	return max(getmx(segmx[i].l, l, md, s, e), getmx(segmx[i].r, md + 1, r, s, e));
}
int get(int i, int l, int r, int s, int e, int k) {
	if (l == r) {
		return l;
	}
	if (md + 1 <= e && segmn[segmn[i].r].v < k) {
		return get(segmn[i].r, md + 1, r, s, e, k);
	} else {
		return get(segmn[i].l, l, md, s, e, k);
	}
}
int main() {
	ios_base::sync_with_stdio(0), cin.tie(0);
	int n;
	cin >> n;
	array<int, 3> a[n];
	for (int i = 0; i < n; i++) {
		cin >> a[i][0] >> a[i][1] >> a[i][2];
	}
	sort(a, a + n);
	int ans = -1;
	int cur = 0;
	for (int i = 0; i < n; i++) {
		while (a[cur][0] < a[i][0]) {
			updmn(1, 0, 1e8, a[cur][1], a[cur][2]);
			updmx(1, 0, 1e8, a[cur][1], a[cur][2]);
			if (getmx(1, 0, 1e8, 0, a[cur][1] - 1) > a[cur][2]) {
				y = max(y, a[cur][1]);
			}
			if (a[cur][1] + 1 != int(1e8) && getmn(1, 0, 1e8, a[cur][1] + 1, 1e8) < a[cur][2]) {
				int newy = get(1, 0, 1e8, a[cur][1] + 1, 1e8, a[cur][2]);
				y = max(y, newy);
			}
			cur++;
		}
		if (y >= max(1, a[i][1] + 1)) {
			int z = getmx(1, 0, 1e8, 0, y - 1);
			if (a[i][2] < z) {
				ans = max(ans, a[i][0] + z + y);
			}
		}
	}
	cout << ans << '\n';
	return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 94296 KB Output is correct
2 Correct 18 ms 94300 KB Output is correct
3 Correct 17 ms 94300 KB Output is correct
4 Correct 17 ms 94300 KB Output is correct
5 Correct 18 ms 94300 KB Output is correct
6 Correct 18 ms 94336 KB Output is correct
7 Correct 17 ms 94300 KB Output is correct
8 Correct 17 ms 94300 KB Output is correct
9 Correct 17 ms 94296 KB Output is correct
10 Correct 17 ms 94300 KB Output is correct
11 Correct 17 ms 94300 KB Output is correct
12 Correct 18 ms 94300 KB Output is correct
13 Correct 17 ms 94300 KB Output is correct
14 Correct 18 ms 94308 KB Output is correct
15 Correct 19 ms 94300 KB Output is correct
16 Correct 18 ms 94332 KB Output is correct
17 Correct 18 ms 94300 KB Output is correct
18 Correct 18 ms 94300 KB Output is correct
19 Correct 18 ms 94348 KB Output is correct
20 Correct 17 ms 94300 KB Output is correct
21 Correct 19 ms 94300 KB Output is correct
22 Correct 18 ms 94300 KB Output is correct
23 Correct 18 ms 94344 KB Output is correct
24 Correct 18 ms 94300 KB Output is correct
25 Correct 17 ms 94300 KB Output is correct

Subtask #2
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 94296 KB Output is correct
2 Correct 18 ms 94300 KB Output is correct
3 Correct 17 ms 94300 KB Output is correct
4 Correct 17 ms 94300 KB Output is correct
5 Correct 18 ms 94300 KB Output is correct
6 Correct 18 ms 94336 KB Output is correct
7 Correct 17 ms 94300 KB Output is correct
8 Correct 17 ms 94300 KB Output is correct
9 Correct 17 ms 94296 KB Output is correct
10 Correct 17 ms 94300 KB Output is correct
11 Correct 17 ms 94300 KB Output is correct
12 Correct 18 ms 94300 KB Output is correct
13 Correct 17 ms 94300 KB Output is correct
14 Correct 18 ms 94308 KB Output is correct
15 Correct 19 ms 94300 KB Output is correct
16 Correct 18 ms 94332 KB Output is correct
17 Correct 18 ms 94300 KB Output is correct
18 Correct 18 ms 94300 KB Output is correct
19 Correct 18 ms 94348 KB Output is correct
20 Correct 17 ms 94300 KB Output is correct
21 Correct 19 ms 94300 KB Output is correct
22 Correct 18 ms 94300 KB Output is correct
23 Correct 18 ms 94344 KB Output is correct
24 Correct 18 ms 94300 KB Output is correct
25 Correct 17 ms 94300 KB Output is correct
26 Correct 23 ms 94292 KB Output is correct
27 Correct 23 ms 94300 KB Output is correct
28 Correct 23 ms 94276 KB Output is correct
29 Correct 23 ms 94300 KB Output is correct
30 Correct 22 ms 94296 KB Output is correct
31 Correct 22 ms 94300 KB Output is correct
32 Correct 21 ms 94500 KB Output is correct
33 Correct 20 ms 94272 KB Output is correct
34 Correct 22 ms 94352 KB Output is correct
35 Correct 18 ms 94204 KB Output is correct
36 Correct 18 ms 94356 KB Output is correct
37 Correct 21 ms 94308 KB Output is correct
38 Correct 21 ms 94552 KB Output is correct
39 Correct 19 ms 94292 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 94556 KB Output is correct
2 Correct 17 ms 94300 KB Output is correct
3 Correct 17 ms 94296 KB Output is correct
4 Correct 17 ms 94300 KB Output is correct
5 Correct 17 ms 94300 KB Output is correct
6 Correct 18 ms 94168 KB Output is correct
7 Correct 19 ms 94324 KB Output is correct
8 Correct 17 ms 94200 KB Output is correct
9 Correct 17 ms 94296 KB Output is correct
10 Correct 17 ms 94300 KB Output is correct
11 Correct 163 ms 96380 KB Output is correct
12 Correct 102 ms 95560 KB Output is correct
13 Correct 119 ms 95808 KB Output is correct
14 Correct 124 ms 96128 KB Output is correct
15 Correct 72 ms 96336 KB Output is correct
16 Correct 44 ms 96092 KB Output is correct

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 94556 KB Output is correct
2 Correct 17 ms 94300 KB Output is correct
3 Correct 17 ms 94296 KB Output is correct
4 Correct 17 ms 94300 KB Output is correct
5 Correct 17 ms 94300 KB Output is correct
6 Correct 18 ms 94168 KB Output is correct
7 Correct 19 ms 94324 KB Output is correct
8 Correct 17 ms 94200 KB Output is correct
9 Correct 17 ms 94296 KB Output is correct
10 Correct 17 ms 94300 KB Output is correct
11 Correct 163 ms 96380 KB Output is correct
12 Correct 102 ms 95560 KB Output is correct
13 Correct 119 ms 95808 KB Output is correct
14 Correct 124 ms 96128 KB Output is correct
15 Correct 72 ms 96336 KB Output is correct
16 Correct 44 ms 96092 KB Output is correct
17 Correct 18 ms 94300 KB Output is correct
18 Correct 17 ms 94300 KB Output is correct
19 Correct 17 ms 94300 KB Output is correct
20 Correct 18 ms 94300 KB Output is correct
21 Correct 19 ms 94300 KB Output is correct
22 Correct 190 ms 96124 KB Output is correct
23 Correct 168 ms 96092 KB Output is correct
24 Correct 128 ms 95580 KB Output is correct
25 Correct 153 ms 96064 KB Output is correct
26 Correct 71 ms 96088 KB Output is correct

Subtask #5
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 94556 KB Output is correct
2 Correct 17 ms 94300 KB Output is correct
3 Correct 17 ms 94296 KB Output is correct
4 Correct 17 ms 94300 KB Output is correct
5 Correct 17 ms 94300 KB Output is correct
6 Correct 18 ms 94168 KB Output is correct
7 Correct 19 ms 94324 KB Output is correct
8 Correct 17 ms 94200 KB Output is correct
9 Correct 17 ms 94296 KB Output is correct
10 Correct 17 ms 94300 KB Output is correct
11 Correct 163 ms 96380 KB Output is correct
12 Correct 102 ms 95560 KB Output is correct
13 Correct 119 ms 95808 KB Output is correct
14 Correct 124 ms 96128 KB Output is correct
15 Correct 72 ms 96336 KB Output is correct
16 Correct 44 ms 96092 KB Output is correct
17 Correct 18 ms 94300 KB Output is correct
18 Correct 17 ms 94300 KB Output is correct
19 Correct 17 ms 94300 KB Output is correct
20 Correct 18 ms 94300 KB Output is correct
21 Correct 19 ms 94300 KB Output is correct
22 Correct 190 ms 96124 KB Output is correct
23 Correct 168 ms 96092 KB Output is correct
24 Correct 128 ms 95580 KB Output is correct
25 Correct 153 ms 96064 KB Output is correct
26 Correct 71 ms 96088 KB Output is correct
27 Correct 17 ms 94300 KB Output is correct
28 Correct 18 ms 94300 KB Output is correct
29 Correct 18 ms 94296 KB Output is correct
30 Correct 18 ms 94296 KB Output is correct
31 Correct 21 ms 94300 KB Output is correct
32 Correct 18 ms 94224 KB Output is correct
33 Correct 18 ms 94296 KB Output is correct
34 Correct 186 ms 96044 KB Output is correct
35 Correct 164 ms 95836 KB Output is correct
36 Correct 180 ms 96092 KB Output is correct
37 Correct 163 ms 96104 KB Output is correct
38 Correct 75 ms 96336 KB Output is correct
39 Correct 34 ms 95324 KB Output is correct

Subtask #6
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 94556 KB Output is correct
2 Correct 17 ms 94300 KB Output is correct
3 Correct 17 ms 94296 KB Output is correct
4 Correct 17 ms 94300 KB Output is correct
5 Correct 17 ms 94300 KB Output is correct
6 Correct 18 ms 94168 KB Output is correct
7 Correct 19 ms 94324 KB Output is correct
8 Correct 17 ms 94200 KB Output is correct
9 Correct 17 ms 94296 KB Output is correct
10 Correct 17 ms 94300 KB Output is correct
11 Correct 163 ms 96380 KB Output is correct
12 Correct 102 ms 95560 KB Output is correct
13 Correct 119 ms 95808 KB Output is correct
14 Correct 124 ms 96128 KB Output is correct
15 Correct 72 ms 96336 KB Output is correct
16 Correct 44 ms 96092 KB Output is correct
17 Correct 18 ms 94300 KB Output is correct
18 Correct 17 ms 94300 KB Output is correct
19 Correct 17 ms 94300 KB Output is correct
20 Correct 18 ms 94300 KB Output is correct
21 Correct 19 ms 94300 KB Output is correct
22 Correct 190 ms 96124 KB Output is correct
23 Correct 168 ms 96092 KB Output is correct
24 Correct 128 ms 95580 KB Output is correct
25 Correct 153 ms 96064 KB Output is correct
26 Correct 71 ms 96088 KB Output is correct
27 Correct 17 ms 94300 KB Output is correct
28 Correct 18 ms 94300 KB Output is correct
29 Correct 18 ms 94296 KB Output is correct
30 Correct 18 ms 94296 KB Output is correct
31 Correct 21 ms 94300 KB Output is correct
32 Correct 18 ms 94224 KB Output is correct
33 Correct 18 ms 94296 KB Output is correct
34 Correct 186 ms 96044 KB Output is correct
35 Correct 164 ms 95836 KB Output is correct
36 Correct 180 ms 96092 KB Output is correct
37 Correct 163 ms 96104 KB Output is correct
38 Correct 75 ms 96336 KB Output is correct
39 Correct 34 ms 95324 KB Output is correct
40 Correct 21 ms 94300 KB Output is correct
41 Correct 22 ms 94440 KB Output is correct
42 Correct 21 ms 94300 KB Output is correct
43 Correct 22 ms 94300 KB Output is correct
44 Correct 201 ms 96092 KB Output is correct
45 Correct 176 ms 96088 KB Output is correct
46 Correct 188 ms 96128 KB Output is correct
47 Correct 174 ms 96124 KB Output is correct
48 Correct 80 ms 96092 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 94296 KB Output is correct
2 Correct 18 ms 94300 KB Output is correct
3 Correct 17 ms 94300 KB Output is correct
4 Correct 17 ms 94300 KB Output is correct
5 Correct 18 ms 94300 KB Output is correct
6 Correct 18 ms 94336 KB Output is correct
7 Correct 17 ms 94300 KB Output is correct
8 Correct 17 ms 94300 KB Output is correct
9 Correct 17 ms 94296 KB Output is correct
10 Correct 17 ms 94300 KB Output is correct
11 Correct 17 ms 94300 KB Output is correct
12 Correct 18 ms 94300 KB Output is correct
13 Correct 17 ms 94300 KB Output is correct
14 Correct 18 ms 94308 KB Output is correct
15 Correct 19 ms 94300 KB Output is correct
16 Correct 18 ms 94332 KB Output is correct
17 Correct 18 ms 94300 KB Output is correct
18 Correct 18 ms 94300 KB Output is correct
19 Correct 18 ms 94348 KB Output is correct
20 Correct 17 ms 94300 KB Output is correct
21 Correct 19 ms 94300 KB Output is correct
22 Correct 18 ms 94300 KB Output is correct
23 Correct 18 ms 94344 KB Output is correct
24 Correct 18 ms 94300 KB Output is correct
25 Correct 17 ms 94300 KB Output is correct
26 Correct 23 ms 94292 KB Output is correct
27 Correct 23 ms 94300 KB Output is correct
28 Correct 23 ms 94276 KB Output is correct
29 Correct 23 ms 94300 KB Output is correct
30 Correct 22 ms 94296 KB Output is correct
31 Correct 22 ms 94300 KB Output is correct
32 Correct 21 ms 94500 KB Output is correct
33 Correct 20 ms 94272 KB Output is correct
34 Correct 22 ms 94352 KB Output is correct
35 Correct 18 ms 94204 KB Output is correct
36 Correct 18 ms 94356 KB Output is correct
37 Correct 21 ms 94308 KB Output is correct
38 Correct 21 ms 94552 KB Output is correct
39 Correct 19 ms 94292 KB Output is correct
40 Correct 18 ms 94556 KB Output is correct
41 Correct 17 ms 94300 KB Output is correct
42 Correct 17 ms 94296 KB Output is correct
43 Correct 17 ms 94300 KB Output is correct
44 Correct 17 ms 94300 KB Output is correct
45 Correct 18 ms 94168 KB Output is correct
46 Correct 19 ms 94324 KB Output is correct
47 Correct 17 ms 94200 KB Output is correct
48 Correct 17 ms 94296 KB Output is correct
49 Correct 17 ms 94300 KB Output is correct
50 Correct 163 ms 96380 KB Output is correct
51 Correct 102 ms 95560 KB Output is correct
52 Correct 119 ms 95808 KB Output is correct
53 Correct 124 ms 96128 KB Output is correct
54 Correct 72 ms 96336 KB Output is correct
55 Correct 44 ms 96092 KB Output is correct
56 Correct 18 ms 94300 KB Output is correct
57 Correct 17 ms 94300 KB Output is correct
58 Correct 17 ms 94300 KB Output is correct
59 Correct 18 ms 94300 KB Output is correct
60 Correct 19 ms 94300 KB Output is correct
61 Correct 190 ms 96124 KB Output is correct
62 Correct 168 ms 96092 KB Output is correct
63 Correct 128 ms 95580 KB Output is correct
64 Correct 153 ms 96064 KB Output is correct
65 Correct 71 ms 96088 KB Output is correct
66 Correct 17 ms 94300 KB Output is correct
67 Correct 18 ms 94300 KB Output is correct
68 Correct 18 ms 94296 KB Output is correct
69 Correct 18 ms 94296 KB Output is correct
70 Correct 21 ms 94300 KB Output is correct
71 Correct 18 ms 94224 KB Output is correct
72 Correct 18 ms 94296 KB Output is correct
73 Correct 186 ms 96044 KB Output is correct
74 Correct 164 ms 95836 KB Output is correct
75 Correct 180 ms 96092 KB Output is correct
76 Correct 163 ms 96104 KB Output is correct
77 Correct 75 ms 96336 KB Output is correct
78 Correct 34 ms 95324 KB Output is correct
79 Correct 21 ms 94300 KB Output is correct
80 Correct 22 ms 94440 KB Output is correct
81 Correct 21 ms 94300 KB Output is correct
82 Correct 22 ms 94300 KB Output is correct
83 Correct 201 ms 96092 KB Output is correct
84 Correct 176 ms 96088 KB Output is correct
85 Correct 188 ms 96128 KB Output is correct
86 Correct 174 ms 96124 KB Output is correct
87 Correct 80 ms 96092 KB Output is correct
88 Correct 292 ms 96092 KB Output is correct
89 Correct 240 ms 96124 KB Output is correct
90 Correct 279 ms 96340 KB Output is correct
91 Correct 217 ms 96092 KB Output is correct
92 Correct 208 ms 96092 KB Output is correct
93 Correct 207 ms 96088 KB Output is correct
94 Correct 191 ms 96080 KB Output is correct
95 Correct 86 ms 96088 KB Output is correct
96 Correct 184 ms 96080 KB Output is correct
97 Correct 59 ms 96088 KB Output is correct
98 Correct 148 ms 96088 KB Output is correct
99 Correct 163 ms 96128 KB Output is correct