#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 i = 0; i < n; i++) {
if (points[i][1] < bst[0][0] && points[i][2] < bst[1][1])
best = max(best, (ll)points[i][0]+bst[0][0]+bst[1][1]);
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';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 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 |
0 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 |
348 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 |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
16 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 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 |
0 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 |
348 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 |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
16 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
356 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 |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
37 ms |
2140 KB |
Output is correct |
12 |
Incorrect |
21 ms |
1628 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
356 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 |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
37 ms |
2140 KB |
Output is correct |
12 |
Incorrect |
21 ms |
1628 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
356 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 |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
37 ms |
2140 KB |
Output is correct |
12 |
Incorrect |
21 ms |
1628 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
356 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 |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
37 ms |
2140 KB |
Output is correct |
12 |
Incorrect |
21 ms |
1628 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 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 |
0 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 |
348 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 |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
16 |
Halted |
0 ms |
0 KB |
- |