#include <bits/stdc++.h>
using namespace std;
struct abc {
int a, b, c, bestB, bestC;
};
const int MAX_N = 2e5;
const int INF = 1e8;
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 ) {
if ( a.a == b.a )
return a.b < b.b;
return a.a < b.a;
} );
aib.init();
for ( int i = 0; i < n; i++ ) {
v[i].bestC = aib.query( normB[v[i].b] - 1 );
aib.update( normB[v[i].b], v[i].c );
}
sort( v, v + n, []( abc a, abc b ) {
if ( a.a == b.a )
return a.c < b.c;
return a.a < b.a;
} );
aib.init();
for ( int i = 0; i < n; i++ ) {
v[i].bestB = aib.query( normC[v[i].c] - 1 );
aib.update( normC[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++ ) {
if ( v[i].bestC > v[i].c )
aib2d.updateInv( normB[v[i].b], normC[v[i].bestC], v[i].b + v[i].bestC );
if ( v[i].bestB > v[i].b )
aib2d.updateInv( normB[v[i].bestB], normC[v[i].c], v[i].bestB + v[i].c );
}
l = r;
}
cout << ans;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
12888 KB |
Output is correct |
2 |
Correct |
4 ms |
12888 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
4 ms |
12892 KB |
Output is correct |
5 |
Correct |
3 ms |
12892 KB |
Output is correct |
6 |
Correct |
4 ms |
12892 KB |
Output is correct |
7 |
Correct |
4 ms |
12916 KB |
Output is correct |
8 |
Correct |
3 ms |
12892 KB |
Output is correct |
9 |
Correct |
3 ms |
12892 KB |
Output is correct |
10 |
Correct |
3 ms |
12892 KB |
Output is correct |
11 |
Correct |
4 ms |
12892 KB |
Output is correct |
12 |
Correct |
4 ms |
12892 KB |
Output is correct |
13 |
Correct |
4 ms |
12916 KB |
Output is correct |
14 |
Correct |
5 ms |
13148 KB |
Output is correct |
15 |
Correct |
4 ms |
12892 KB |
Output is correct |
16 |
Correct |
6 ms |
13148 KB |
Output is correct |
17 |
Correct |
5 ms |
12892 KB |
Output is correct |
18 |
Correct |
5 ms |
12912 KB |
Output is correct |
19 |
Correct |
4 ms |
12892 KB |
Output is correct |
20 |
Correct |
4 ms |
12892 KB |
Output is correct |
21 |
Correct |
4 ms |
12892 KB |
Output is correct |
22 |
Correct |
4 ms |
13148 KB |
Output is correct |
23 |
Correct |
5 ms |
13148 KB |
Output is correct |
24 |
Correct |
4 ms |
12892 KB |
Output is correct |
25 |
Correct |
4 ms |
12892 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
12888 KB |
Output is correct |
2 |
Correct |
4 ms |
12888 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
4 ms |
12892 KB |
Output is correct |
5 |
Correct |
3 ms |
12892 KB |
Output is correct |
6 |
Correct |
4 ms |
12892 KB |
Output is correct |
7 |
Correct |
4 ms |
12916 KB |
Output is correct |
8 |
Correct |
3 ms |
12892 KB |
Output is correct |
9 |
Correct |
3 ms |
12892 KB |
Output is correct |
10 |
Correct |
3 ms |
12892 KB |
Output is correct |
11 |
Correct |
4 ms |
12892 KB |
Output is correct |
12 |
Correct |
4 ms |
12892 KB |
Output is correct |
13 |
Correct |
4 ms |
12916 KB |
Output is correct |
14 |
Correct |
5 ms |
13148 KB |
Output is correct |
15 |
Correct |
4 ms |
12892 KB |
Output is correct |
16 |
Correct |
6 ms |
13148 KB |
Output is correct |
17 |
Correct |
5 ms |
12892 KB |
Output is correct |
18 |
Correct |
5 ms |
12912 KB |
Output is correct |
19 |
Correct |
4 ms |
12892 KB |
Output is correct |
20 |
Correct |
4 ms |
12892 KB |
Output is correct |
21 |
Correct |
4 ms |
12892 KB |
Output is correct |
22 |
Correct |
4 ms |
13148 KB |
Output is correct |
23 |
Correct |
5 ms |
13148 KB |
Output is correct |
24 |
Correct |
4 ms |
12892 KB |
Output is correct |
25 |
Correct |
4 ms |
12892 KB |
Output is correct |
26 |
Correct |
42 ms |
21144 KB |
Output is correct |
27 |
Correct |
31 ms |
17756 KB |
Output is correct |
28 |
Correct |
35 ms |
17492 KB |
Output is correct |
29 |
Correct |
21 ms |
16084 KB |
Output is correct |
30 |
Correct |
18 ms |
15708 KB |
Output is correct |
31 |
Correct |
26 ms |
15836 KB |
Output is correct |
32 |
Correct |
14 ms |
13660 KB |
Output is correct |
33 |
Correct |
13 ms |
13704 KB |
Output is correct |
34 |
Correct |
20 ms |
16468 KB |
Output is correct |
35 |
Correct |
5 ms |
13144 KB |
Output is correct |
36 |
Correct |
5 ms |
13144 KB |
Output is correct |
37 |
Correct |
12 ms |
13916 KB |
Output is correct |
38 |
Correct |
12 ms |
13952 KB |
Output is correct |
39 |
Correct |
8 ms |
12928 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
12892 KB |
Output is correct |
2 |
Correct |
3 ms |
12892 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
3 ms |
12920 KB |
Output is correct |
5 |
Correct |
3 ms |
12888 KB |
Output is correct |
6 |
Correct |
4 ms |
12892 KB |
Output is correct |
7 |
Correct |
4 ms |
12724 KB |
Output is correct |
8 |
Correct |
3 ms |
12892 KB |
Output is correct |
9 |
Correct |
4 ms |
12892 KB |
Output is correct |
10 |
Correct |
3 ms |
12892 KB |
Output is correct |
11 |
Correct |
263 ms |
14972 KB |
Output is correct |
12 |
Correct |
173 ms |
14956 KB |
Output is correct |
13 |
Correct |
221 ms |
14944 KB |
Output is correct |
14 |
Correct |
253 ms |
14932 KB |
Output is correct |
15 |
Correct |
240 ms |
14944 KB |
Output is correct |
16 |
Correct |
269 ms |
14932 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
12892 KB |
Output is correct |
2 |
Correct |
3 ms |
12892 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
3 ms |
12920 KB |
Output is correct |
5 |
Correct |
3 ms |
12888 KB |
Output is correct |
6 |
Correct |
4 ms |
12892 KB |
Output is correct |
7 |
Correct |
4 ms |
12724 KB |
Output is correct |
8 |
Correct |
3 ms |
12892 KB |
Output is correct |
9 |
Correct |
4 ms |
12892 KB |
Output is correct |
10 |
Correct |
3 ms |
12892 KB |
Output is correct |
11 |
Correct |
263 ms |
14972 KB |
Output is correct |
12 |
Correct |
173 ms |
14956 KB |
Output is correct |
13 |
Correct |
221 ms |
14944 KB |
Output is correct |
14 |
Correct |
253 ms |
14932 KB |
Output is correct |
15 |
Correct |
240 ms |
14944 KB |
Output is correct |
16 |
Correct |
269 ms |
14932 KB |
Output is correct |
17 |
Correct |
4 ms |
12888 KB |
Output is correct |
18 |
Correct |
4 ms |
12892 KB |
Output is correct |
19 |
Correct |
3 ms |
12892 KB |
Output is correct |
20 |
Correct |
4 ms |
12892 KB |
Output is correct |
21 |
Correct |
10 ms |
12892 KB |
Output is correct |
22 |
Correct |
311 ms |
16068 KB |
Output is correct |
23 |
Correct |
287 ms |
15824 KB |
Output is correct |
24 |
Correct |
226 ms |
15756 KB |
Output is correct |
25 |
Correct |
265 ms |
15964 KB |
Output is correct |
26 |
Correct |
239 ms |
15944 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
12892 KB |
Output is correct |
2 |
Correct |
3 ms |
12892 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
3 ms |
12920 KB |
Output is correct |
5 |
Correct |
3 ms |
12888 KB |
Output is correct |
6 |
Correct |
4 ms |
12892 KB |
Output is correct |
7 |
Correct |
4 ms |
12724 KB |
Output is correct |
8 |
Correct |
3 ms |
12892 KB |
Output is correct |
9 |
Correct |
4 ms |
12892 KB |
Output is correct |
10 |
Correct |
3 ms |
12892 KB |
Output is correct |
11 |
Correct |
263 ms |
14972 KB |
Output is correct |
12 |
Correct |
173 ms |
14956 KB |
Output is correct |
13 |
Correct |
221 ms |
14944 KB |
Output is correct |
14 |
Correct |
253 ms |
14932 KB |
Output is correct |
15 |
Correct |
240 ms |
14944 KB |
Output is correct |
16 |
Correct |
269 ms |
14932 KB |
Output is correct |
17 |
Correct |
4 ms |
12888 KB |
Output is correct |
18 |
Correct |
4 ms |
12892 KB |
Output is correct |
19 |
Correct |
3 ms |
12892 KB |
Output is correct |
20 |
Correct |
4 ms |
12892 KB |
Output is correct |
21 |
Correct |
10 ms |
12892 KB |
Output is correct |
22 |
Correct |
311 ms |
16068 KB |
Output is correct |
23 |
Correct |
287 ms |
15824 KB |
Output is correct |
24 |
Correct |
226 ms |
15756 KB |
Output is correct |
25 |
Correct |
265 ms |
15964 KB |
Output is correct |
26 |
Correct |
239 ms |
15944 KB |
Output is correct |
27 |
Correct |
5 ms |
13148 KB |
Output is correct |
28 |
Correct |
4 ms |
12892 KB |
Output is correct |
29 |
Correct |
4 ms |
12892 KB |
Output is correct |
30 |
Correct |
4 ms |
12916 KB |
Output is correct |
31 |
Correct |
14 ms |
13656 KB |
Output is correct |
32 |
Correct |
6 ms |
13148 KB |
Output is correct |
33 |
Correct |
6 ms |
13148 KB |
Output is correct |
34 |
Correct |
441 ms |
20572 KB |
Output is correct |
35 |
Correct |
336 ms |
20000 KB |
Output is correct |
36 |
Correct |
346 ms |
19604 KB |
Output is correct |
37 |
Correct |
301 ms |
19260 KB |
Output is correct |
38 |
Correct |
235 ms |
16596 KB |
Output is correct |
39 |
Correct |
230 ms |
20208 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
12892 KB |
Output is correct |
2 |
Correct |
3 ms |
12892 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
3 ms |
12920 KB |
Output is correct |
5 |
Correct |
3 ms |
12888 KB |
Output is correct |
6 |
Correct |
4 ms |
12892 KB |
Output is correct |
7 |
Correct |
4 ms |
12724 KB |
Output is correct |
8 |
Correct |
3 ms |
12892 KB |
Output is correct |
9 |
Correct |
4 ms |
12892 KB |
Output is correct |
10 |
Correct |
3 ms |
12892 KB |
Output is correct |
11 |
Correct |
263 ms |
14972 KB |
Output is correct |
12 |
Correct |
173 ms |
14956 KB |
Output is correct |
13 |
Correct |
221 ms |
14944 KB |
Output is correct |
14 |
Correct |
253 ms |
14932 KB |
Output is correct |
15 |
Correct |
240 ms |
14944 KB |
Output is correct |
16 |
Correct |
269 ms |
14932 KB |
Output is correct |
17 |
Correct |
4 ms |
12888 KB |
Output is correct |
18 |
Correct |
4 ms |
12892 KB |
Output is correct |
19 |
Correct |
3 ms |
12892 KB |
Output is correct |
20 |
Correct |
4 ms |
12892 KB |
Output is correct |
21 |
Correct |
10 ms |
12892 KB |
Output is correct |
22 |
Correct |
311 ms |
16068 KB |
Output is correct |
23 |
Correct |
287 ms |
15824 KB |
Output is correct |
24 |
Correct |
226 ms |
15756 KB |
Output is correct |
25 |
Correct |
265 ms |
15964 KB |
Output is correct |
26 |
Correct |
239 ms |
15944 KB |
Output is correct |
27 |
Correct |
5 ms |
13148 KB |
Output is correct |
28 |
Correct |
4 ms |
12892 KB |
Output is correct |
29 |
Correct |
4 ms |
12892 KB |
Output is correct |
30 |
Correct |
4 ms |
12916 KB |
Output is correct |
31 |
Correct |
14 ms |
13656 KB |
Output is correct |
32 |
Correct |
6 ms |
13148 KB |
Output is correct |
33 |
Correct |
6 ms |
13148 KB |
Output is correct |
34 |
Correct |
441 ms |
20572 KB |
Output is correct |
35 |
Correct |
336 ms |
20000 KB |
Output is correct |
36 |
Correct |
346 ms |
19604 KB |
Output is correct |
37 |
Correct |
301 ms |
19260 KB |
Output is correct |
38 |
Correct |
235 ms |
16596 KB |
Output is correct |
39 |
Correct |
230 ms |
20208 KB |
Output is correct |
40 |
Correct |
18 ms |
15708 KB |
Output is correct |
41 |
Correct |
25 ms |
15964 KB |
Output is correct |
42 |
Correct |
13 ms |
13916 KB |
Output is correct |
43 |
Correct |
12 ms |
13916 KB |
Output is correct |
44 |
Correct |
1771 ms |
84060 KB |
Output is correct |
45 |
Correct |
804 ms |
75092 KB |
Output is correct |
46 |
Correct |
902 ms |
79236 KB |
Output is correct |
47 |
Correct |
812 ms |
74576 KB |
Output is correct |
48 |
Correct |
305 ms |
19560 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
12888 KB |
Output is correct |
2 |
Correct |
4 ms |
12888 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
4 ms |
12892 KB |
Output is correct |
5 |
Correct |
3 ms |
12892 KB |
Output is correct |
6 |
Correct |
4 ms |
12892 KB |
Output is correct |
7 |
Correct |
4 ms |
12916 KB |
Output is correct |
8 |
Correct |
3 ms |
12892 KB |
Output is correct |
9 |
Correct |
3 ms |
12892 KB |
Output is correct |
10 |
Correct |
3 ms |
12892 KB |
Output is correct |
11 |
Correct |
4 ms |
12892 KB |
Output is correct |
12 |
Correct |
4 ms |
12892 KB |
Output is correct |
13 |
Correct |
4 ms |
12916 KB |
Output is correct |
14 |
Correct |
5 ms |
13148 KB |
Output is correct |
15 |
Correct |
4 ms |
12892 KB |
Output is correct |
16 |
Correct |
6 ms |
13148 KB |
Output is correct |
17 |
Correct |
5 ms |
12892 KB |
Output is correct |
18 |
Correct |
5 ms |
12912 KB |
Output is correct |
19 |
Correct |
4 ms |
12892 KB |
Output is correct |
20 |
Correct |
4 ms |
12892 KB |
Output is correct |
21 |
Correct |
4 ms |
12892 KB |
Output is correct |
22 |
Correct |
4 ms |
13148 KB |
Output is correct |
23 |
Correct |
5 ms |
13148 KB |
Output is correct |
24 |
Correct |
4 ms |
12892 KB |
Output is correct |
25 |
Correct |
4 ms |
12892 KB |
Output is correct |
26 |
Correct |
42 ms |
21144 KB |
Output is correct |
27 |
Correct |
31 ms |
17756 KB |
Output is correct |
28 |
Correct |
35 ms |
17492 KB |
Output is correct |
29 |
Correct |
21 ms |
16084 KB |
Output is correct |
30 |
Correct |
18 ms |
15708 KB |
Output is correct |
31 |
Correct |
26 ms |
15836 KB |
Output is correct |
32 |
Correct |
14 ms |
13660 KB |
Output is correct |
33 |
Correct |
13 ms |
13704 KB |
Output is correct |
34 |
Correct |
20 ms |
16468 KB |
Output is correct |
35 |
Correct |
5 ms |
13144 KB |
Output is correct |
36 |
Correct |
5 ms |
13144 KB |
Output is correct |
37 |
Correct |
12 ms |
13916 KB |
Output is correct |
38 |
Correct |
12 ms |
13952 KB |
Output is correct |
39 |
Correct |
8 ms |
12928 KB |
Output is correct |
40 |
Correct |
3 ms |
12892 KB |
Output is correct |
41 |
Correct |
3 ms |
12892 KB |
Output is correct |
42 |
Correct |
4 ms |
12892 KB |
Output is correct |
43 |
Correct |
3 ms |
12920 KB |
Output is correct |
44 |
Correct |
3 ms |
12888 KB |
Output is correct |
45 |
Correct |
4 ms |
12892 KB |
Output is correct |
46 |
Correct |
4 ms |
12724 KB |
Output is correct |
47 |
Correct |
3 ms |
12892 KB |
Output is correct |
48 |
Correct |
4 ms |
12892 KB |
Output is correct |
49 |
Correct |
3 ms |
12892 KB |
Output is correct |
50 |
Correct |
263 ms |
14972 KB |
Output is correct |
51 |
Correct |
173 ms |
14956 KB |
Output is correct |
52 |
Correct |
221 ms |
14944 KB |
Output is correct |
53 |
Correct |
253 ms |
14932 KB |
Output is correct |
54 |
Correct |
240 ms |
14944 KB |
Output is correct |
55 |
Correct |
269 ms |
14932 KB |
Output is correct |
56 |
Correct |
4 ms |
12888 KB |
Output is correct |
57 |
Correct |
4 ms |
12892 KB |
Output is correct |
58 |
Correct |
3 ms |
12892 KB |
Output is correct |
59 |
Correct |
4 ms |
12892 KB |
Output is correct |
60 |
Correct |
10 ms |
12892 KB |
Output is correct |
61 |
Correct |
311 ms |
16068 KB |
Output is correct |
62 |
Correct |
287 ms |
15824 KB |
Output is correct |
63 |
Correct |
226 ms |
15756 KB |
Output is correct |
64 |
Correct |
265 ms |
15964 KB |
Output is correct |
65 |
Correct |
239 ms |
15944 KB |
Output is correct |
66 |
Correct |
5 ms |
13148 KB |
Output is correct |
67 |
Correct |
4 ms |
12892 KB |
Output is correct |
68 |
Correct |
4 ms |
12892 KB |
Output is correct |
69 |
Correct |
4 ms |
12916 KB |
Output is correct |
70 |
Correct |
14 ms |
13656 KB |
Output is correct |
71 |
Correct |
6 ms |
13148 KB |
Output is correct |
72 |
Correct |
6 ms |
13148 KB |
Output is correct |
73 |
Correct |
441 ms |
20572 KB |
Output is correct |
74 |
Correct |
336 ms |
20000 KB |
Output is correct |
75 |
Correct |
346 ms |
19604 KB |
Output is correct |
76 |
Correct |
301 ms |
19260 KB |
Output is correct |
77 |
Correct |
235 ms |
16596 KB |
Output is correct |
78 |
Correct |
230 ms |
20208 KB |
Output is correct |
79 |
Correct |
18 ms |
15708 KB |
Output is correct |
80 |
Correct |
25 ms |
15964 KB |
Output is correct |
81 |
Correct |
13 ms |
13916 KB |
Output is correct |
82 |
Correct |
12 ms |
13916 KB |
Output is correct |
83 |
Correct |
1771 ms |
84060 KB |
Output is correct |
84 |
Correct |
804 ms |
75092 KB |
Output is correct |
85 |
Correct |
902 ms |
79236 KB |
Output is correct |
86 |
Correct |
812 ms |
74576 KB |
Output is correct |
87 |
Correct |
305 ms |
19560 KB |
Output is correct |
88 |
Execution timed out |
2045 ms |
209632 KB |
Time limit exceeded |
89 |
Halted |
0 ms |
0 KB |
- |