#include <bits/stdc++.h>
using namespace std;
#define int long long
#define INF (int)1e18
#define f first
#define s second
mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());
struct info{
int a, b, c;
};
const int N = 1.5e5 + 69;
int seg[4 * N][3], n;
int inv[4 * N][3], tim = 0;
void upd(int l, int r, int pos, int qp, int v, int i){
if (l == r){
seg[pos][i] = max(seg[pos][i], v);
return;
}
int mid = (l + r)/2;
if (qp <= mid) upd(l, mid, pos*2, qp, v, i);
else upd(mid + 1, r, pos*2 + 1, qp, v, i);
seg[pos][i] = max(seg[pos * 2][i], seg[pos * 2 + 1][i]);
}
int query(int l, int r, int pos, int ql, int qr, int i){
if (l >= ql && r <= qr) return seg[pos][i];
else if (l > qr || r < ql) return 0;
int mid = (l + r)/2;
return max(query(l, mid, pos*2, ql, qr, i), query(mid + 1, r, pos*2 + 1, ql, qr, i));
}
void compress(vector <int> &a){
set <int> st;
map <int, int> mp;
for (auto x : a) st.insert(x);
int pr = 0;
for (auto x : st) {
mp[x] = ++pr;
inv[pr][tim] = x;
}
tim++;
for (auto &x : a) x = mp[x];
}
void Solve()
{
cin >> n;
vector <int> a(n), b(n), c(n);
for (int i = 1; i <= n; i++){
cin >> a[i - 1] >> b[i - 1] >> c[i - 1];
}
compress(a);
compress(b);
compress(c);
vector <info> v(n);
for (int i = 0; i < n; i++){
v[i].a = a[i];
v[i].b = b[i];
v[i].c = c[i];
}
sort(v.begin(), v.end(), [&](info x, info y){
return x.a < y.a;
});
vector <info> todo, good;
//go in increasing a
//position stuff with c
//find max b possible
for (auto x : v){
if (todo.size() && todo[0].a != x.a){
for (auto y : todo){
upd(1, n, 1, y.c, y.b, 0);
}
todo.clear();
}
int mxb = query(1, n, 1, 1, x.c, 0);
// cout << mxb << " ";
if (mxb > x.b) {
info ok;
ok.a = x.a;
ok.b = mxb;
ok.c = x.c;
good.push_back(ok);
}
todo.push_back(x);
}
// cout << "\n";
todo.clear();
sort(v.begin(), v.end(), [&](info x, info y){
return x.b < y.b;
});
for (auto x : v){
if (todo.size() && todo[0].b != x.b){
for (auto y : todo){
upd(1, n, 1, y.c, y.a, 1);
}
todo.clear();
}
int mxa = query(1, n, 1, 1, x.c - 1, 0);
if (mxa > x.a){
info ok;
ok.a = mxa;
ok.b = x.b;
ok.c = x.c;
good.push_back(ok);
}
todo.push_back(x);
}
int ans = -1;
// for (auto x : good){
// cout << x.a << " " << x.b << " " << x.c << "\n";
// }
//sort by x, query only useful y
sort(good.begin(), good.end(), [&](info x, info y){
return x.a < y.a;
});
sort(v.begin(), v.end(), [&](info x, info y){
return x.a < y.a;
});
int ptr = 0;
for (auto x : good){
while (ptr != v.size() && v[ptr].a < x.a){
// cout << "ADDED " << x.b << " " << x.c << "\n";
upd(1, n, 1, v[ptr].b, v[ptr].c, 2);
ptr++;
}
int mxc = query(1, n, 1, 1, x.b - 1, 2);
// cout << "QUERYING " << x.b << " " << x.c << "\n";
if (mxc > x.c){
ans = max(ans, inv[x.a][0] + inv[x.b][1] + inv[mxc][2]);
}
}
cout << ans << "\n";
}
int32_t main()
{
auto begin = std::chrono::high_resolution_clock::now();
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1;
// cin >> t;
for(int i = 1; i <= t; i++)
{
//cout << "Case #" << i << ": ";
Solve();
}
auto end = std::chrono::high_resolution_clock::now();
auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n";
return 0;
}
Compilation message
team.cpp: In function 'void Solve()':
team.cpp:144:14: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<info>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
144 | while (ptr != v.size() && v[ptr].a < x.a){
| ~~~~^~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
328 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
16 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
328 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
16 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
133 ms |
15300 KB |
Output is correct |
12 |
Incorrect |
81 ms |
9712 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
133 ms |
15300 KB |
Output is correct |
12 |
Incorrect |
81 ms |
9712 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
133 ms |
15300 KB |
Output is correct |
12 |
Incorrect |
81 ms |
9712 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
133 ms |
15300 KB |
Output is correct |
12 |
Incorrect |
81 ms |
9712 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
328 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
16 |
Halted |
0 ms |
0 KB |
- |