#include <bits/stdc++.h>
using namespace std;
struct abc {
int a, b, c;
};
const int MAX_N = 2e5;
const int INF = 1e8;
int bestB[MAX_N], bestC[MAX_N];
abc v[MAX_N];
struct AIB {
unordered_map<int, int> aib;
void init() {
aib.clear();
}
void update( int i, int x ) {
while ( i <= MAX_N ) {
aib[i] = max( aib[i], x );
i += (i & -i);
}
}
int query( int i ) {
int ans = 0;
while ( i > 0 ) {
ans = max( ans, aib[i] );
i -= (i & -i);
}
return (ans == 0 ? -INF : ans);
}
} aib;
struct AIB2d {
AIB aib[MAX_N + 1];
void init() {
for ( int i = 0; i <= MAX_N; i++ )
aib[i].aib.clear();
}
void update( int i, int j, int x ) {
while ( i <= MAX_N ) {
aib[i].update( j, x );
i += (i & -i);
}
}
int query( int i, int j ) {
int ans = 0;
while ( i > 0 ) {
ans = max( ans, aib[i].query( j ) );
i -= (i & -i);
}
return (ans == 0 ? -INF : ans);
}
void updateInv( int i, int j, int x ) {
update( MAX_N + 1 - i, MAX_N + 1 - j, x );
}
int queryInv( int i, int j ) {
return query( MAX_N + 1 - i, MAX_N + 1 - j );
}
} aib2d;
map<int, int> normA, normB, normC;
int main() {
int n;
cin >> n;
for ( int i = 0; i < n; i++ )
cin >> v[i].a >> v[i].b >> v[i].c;
for ( int i = 0; i < n; i++ ) {
normA[v[i].a] = 1;
normB[v[i].b] = 1;
normC[v[i].c] = 1;
}
int x;
x = 0;
for ( auto p: normA )
normA[p.first] = ++x;
x = 0;
for ( auto p: normB )
normB[p.first] = ++x;
x = 0;
for ( auto p: normC )
normC[p.first] = ++x;
sort( v, v + n, []( abc a, abc b ) {
return a.a < b.a;
} );
aib.init();
for ( int i = 0; i < n; i++ ) {
bestC[i] = aib.query( v[i].b - 1 );
aib.update( v[i].b, v[i].c );
}
aib.init();
for ( int i = 0; i < n; i++ ) {
bestB[i] = aib.query( v[i].c - 1 );
aib.update( v[i].c, v[i].b );
}
int ans = -1;
int l = 0, r = 0;
aib2d.init();
while ( l < n ) {
r = l;
while ( r < n && v[l].a == v[r].a )
r++;
for ( int i = l; i < r; i++ )
ans = max( ans, v[i].a + aib2d.queryInv( normB[v[i].b] + 1, normC[v[i].c] + 1 ) );
for ( int i = l; i < r; i++ ) {
aib2d.updateInv( normB[v[i].b], normC[bestC[i]], v[i].b + bestC[i] );
aib2d.updateInv( normB[bestB[i]], normC[v[i].c], bestB[i] + v[i].c );
}
l = r;
}
cout << ans;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14940 KB |
Output is correct |
2 |
Correct |
4 ms |
14940 KB |
Output is correct |
3 |
Correct |
4 ms |
14940 KB |
Output is correct |
4 |
Correct |
5 ms |
14980 KB |
Output is correct |
5 |
Correct |
5 ms |
14940 KB |
Output is correct |
6 |
Correct |
5 ms |
14940 KB |
Output is correct |
7 |
Correct |
4 ms |
14980 KB |
Output is correct |
8 |
Correct |
4 ms |
14940 KB |
Output is correct |
9 |
Correct |
4 ms |
14940 KB |
Output is correct |
10 |
Correct |
5 ms |
14940 KB |
Output is correct |
11 |
Correct |
4 ms |
14940 KB |
Output is correct |
12 |
Correct |
4 ms |
14940 KB |
Output is correct |
13 |
Correct |
4 ms |
14944 KB |
Output is correct |
14 |
Incorrect |
5 ms |
15196 KB |
Output isn't correct |
15 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14940 KB |
Output is correct |
2 |
Correct |
4 ms |
14940 KB |
Output is correct |
3 |
Correct |
4 ms |
14940 KB |
Output is correct |
4 |
Correct |
5 ms |
14980 KB |
Output is correct |
5 |
Correct |
5 ms |
14940 KB |
Output is correct |
6 |
Correct |
5 ms |
14940 KB |
Output is correct |
7 |
Correct |
4 ms |
14980 KB |
Output is correct |
8 |
Correct |
4 ms |
14940 KB |
Output is correct |
9 |
Correct |
4 ms |
14940 KB |
Output is correct |
10 |
Correct |
5 ms |
14940 KB |
Output is correct |
11 |
Correct |
4 ms |
14940 KB |
Output is correct |
12 |
Correct |
4 ms |
14940 KB |
Output is correct |
13 |
Correct |
4 ms |
14944 KB |
Output is correct |
14 |
Incorrect |
5 ms |
15196 KB |
Output isn't correct |
15 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14936 KB |
Output is correct |
2 |
Correct |
4 ms |
14940 KB |
Output is correct |
3 |
Correct |
4 ms |
14956 KB |
Output is correct |
4 |
Correct |
4 ms |
14940 KB |
Output is correct |
5 |
Correct |
4 ms |
14940 KB |
Output is correct |
6 |
Correct |
4 ms |
14940 KB |
Output is correct |
7 |
Correct |
5 ms |
14936 KB |
Output is correct |
8 |
Correct |
4 ms |
14936 KB |
Output is correct |
9 |
Correct |
5 ms |
14940 KB |
Output is correct |
10 |
Correct |
4 ms |
14936 KB |
Output is correct |
11 |
Correct |
263 ms |
15184 KB |
Output is correct |
12 |
Incorrect |
171 ms |
14964 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14936 KB |
Output is correct |
2 |
Correct |
4 ms |
14940 KB |
Output is correct |
3 |
Correct |
4 ms |
14956 KB |
Output is correct |
4 |
Correct |
4 ms |
14940 KB |
Output is correct |
5 |
Correct |
4 ms |
14940 KB |
Output is correct |
6 |
Correct |
4 ms |
14940 KB |
Output is correct |
7 |
Correct |
5 ms |
14936 KB |
Output is correct |
8 |
Correct |
4 ms |
14936 KB |
Output is correct |
9 |
Correct |
5 ms |
14940 KB |
Output is correct |
10 |
Correct |
4 ms |
14936 KB |
Output is correct |
11 |
Correct |
263 ms |
15184 KB |
Output is correct |
12 |
Incorrect |
171 ms |
14964 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14936 KB |
Output is correct |
2 |
Correct |
4 ms |
14940 KB |
Output is correct |
3 |
Correct |
4 ms |
14956 KB |
Output is correct |
4 |
Correct |
4 ms |
14940 KB |
Output is correct |
5 |
Correct |
4 ms |
14940 KB |
Output is correct |
6 |
Correct |
4 ms |
14940 KB |
Output is correct |
7 |
Correct |
5 ms |
14936 KB |
Output is correct |
8 |
Correct |
4 ms |
14936 KB |
Output is correct |
9 |
Correct |
5 ms |
14940 KB |
Output is correct |
10 |
Correct |
4 ms |
14936 KB |
Output is correct |
11 |
Correct |
263 ms |
15184 KB |
Output is correct |
12 |
Incorrect |
171 ms |
14964 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14936 KB |
Output is correct |
2 |
Correct |
4 ms |
14940 KB |
Output is correct |
3 |
Correct |
4 ms |
14956 KB |
Output is correct |
4 |
Correct |
4 ms |
14940 KB |
Output is correct |
5 |
Correct |
4 ms |
14940 KB |
Output is correct |
6 |
Correct |
4 ms |
14940 KB |
Output is correct |
7 |
Correct |
5 ms |
14936 KB |
Output is correct |
8 |
Correct |
4 ms |
14936 KB |
Output is correct |
9 |
Correct |
5 ms |
14940 KB |
Output is correct |
10 |
Correct |
4 ms |
14936 KB |
Output is correct |
11 |
Correct |
263 ms |
15184 KB |
Output is correct |
12 |
Incorrect |
171 ms |
14964 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
14940 KB |
Output is correct |
2 |
Correct |
4 ms |
14940 KB |
Output is correct |
3 |
Correct |
4 ms |
14940 KB |
Output is correct |
4 |
Correct |
5 ms |
14980 KB |
Output is correct |
5 |
Correct |
5 ms |
14940 KB |
Output is correct |
6 |
Correct |
5 ms |
14940 KB |
Output is correct |
7 |
Correct |
4 ms |
14980 KB |
Output is correct |
8 |
Correct |
4 ms |
14940 KB |
Output is correct |
9 |
Correct |
4 ms |
14940 KB |
Output is correct |
10 |
Correct |
5 ms |
14940 KB |
Output is correct |
11 |
Correct |
4 ms |
14940 KB |
Output is correct |
12 |
Correct |
4 ms |
14940 KB |
Output is correct |
13 |
Correct |
4 ms |
14944 KB |
Output is correct |
14 |
Incorrect |
5 ms |
15196 KB |
Output isn't correct |
15 |
Halted |
0 ms |
0 KB |
- |