Submission #883118

# Submission time Handle Problem Language Result Execution time Memory
883118 2023-12-04T14:54:46 Z LucaIlie Team Contest (JOI22_team) C++17
100 / 100
925 ms 34420 KB
#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;

map<int, int> normA, normB, normC;

int main() {
    ios_base::sync_with_stdio( false );
    cin.tie( NULL );

    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;

    int ans = -1, l, r;

    ///BC
    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 ) {
        return a.b < b.b;
    } );
    aib.init();
    l = r = 0;
    while ( l < n ) {
        r = l;
        while ( r < n && v[l].b == v[r].b )
            r++;
        for ( int i = l; i < r; i++ ) {
            if ( v[i].bestC > v[i].c ) {
                int a = aib.query( normC[v[i].bestC] - 1 );
                if ( a > v[i].a )
                    ans = max( ans, a + v[i].b + v[i].bestC );
            }
        }
        for ( int i = l; i < r; i++ )
            aib.update( normC[v[i].c], v[i].a );
        l = r;
    }


    ///CB
    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 );
    }
    sort( v, v + n, []( abc a, abc b ) {
        return a.c < b.c;
    } );
    aib.init();
    l = r = 0;
    while ( l < n ) {
        r = l;
        while ( r < n && v[l].c == v[r].c )
            r++;
        for ( int i = l; i < r; i++ ) {
            if ( v[i].bestB > v[i].b ) {
                int a = aib.query( normB[v[i].bestB] - 1 );
                if ( a > v[i].a )
                    ans = max( ans, a + v[i].bestB + v[i].c );
            }
        }
        for ( int i = l; i < r; i++ )
           aib.update( normB[v[i].b], v[i].a );
        l = r;
    }

    cout << ans;

    return 0;
}
# 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 344 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 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
# 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 344 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 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 10 ms 1112 KB Output is correct
27 Correct 9 ms 860 KB Output is correct
28 Correct 9 ms 964 KB Output is correct
29 Correct 8 ms 860 KB Output is correct
30 Correct 5 ms 604 KB Output is correct
31 Correct 7 ms 604 KB Output is correct
32 Correct 6 ms 604 KB Output is correct
33 Correct 6 ms 604 KB Output is correct
34 Correct 8 ms 1120 KB Output is correct
35 Correct 2 ms 348 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 6 ms 744 KB Output is correct
38 Correct 5 ms 604 KB Output is correct
39 Correct 3 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 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 348 KB Output is correct
11 Correct 160 ms 3376 KB Output is correct
12 Correct 107 ms 2652 KB Output is correct
13 Correct 125 ms 2652 KB Output is correct
14 Correct 153 ms 3160 KB Output is correct
15 Correct 153 ms 3372 KB Output is correct
16 Correct 140 ms 3372 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 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 348 KB Output is correct
11 Correct 160 ms 3376 KB Output is correct
12 Correct 107 ms 2652 KB Output is correct
13 Correct 125 ms 2652 KB Output is correct
14 Correct 153 ms 3160 KB Output is correct
15 Correct 153 ms 3372 KB Output is correct
16 Correct 140 ms 3372 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 3 ms 348 KB Output is correct
22 Correct 179 ms 3380 KB Output is correct
23 Correct 179 ms 3168 KB Output is correct
24 Correct 120 ms 2680 KB Output is correct
25 Correct 164 ms 3372 KB Output is correct
26 Correct 153 ms 3376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 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 348 KB Output is correct
11 Correct 160 ms 3376 KB Output is correct
12 Correct 107 ms 2652 KB Output is correct
13 Correct 125 ms 2652 KB Output is correct
14 Correct 153 ms 3160 KB Output is correct
15 Correct 153 ms 3372 KB Output is correct
16 Correct 140 ms 3372 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 3 ms 348 KB Output is correct
22 Correct 179 ms 3380 KB Output is correct
23 Correct 179 ms 3168 KB Output is correct
24 Correct 120 ms 2680 KB Output is correct
25 Correct 164 ms 3372 KB Output is correct
26 Correct 153 ms 3376 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 6 ms 600 KB Output is correct
32 Correct 1 ms 544 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 195 ms 3296 KB Output is correct
35 Correct 188 ms 3156 KB Output is correct
36 Correct 205 ms 3432 KB Output is correct
37 Correct 196 ms 3408 KB Output is correct
38 Correct 163 ms 3352 KB Output is correct
39 Correct 99 ms 2696 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 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 348 KB Output is correct
11 Correct 160 ms 3376 KB Output is correct
12 Correct 107 ms 2652 KB Output is correct
13 Correct 125 ms 2652 KB Output is correct
14 Correct 153 ms 3160 KB Output is correct
15 Correct 153 ms 3372 KB Output is correct
16 Correct 140 ms 3372 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 3 ms 348 KB Output is correct
22 Correct 179 ms 3380 KB Output is correct
23 Correct 179 ms 3168 KB Output is correct
24 Correct 120 ms 2680 KB Output is correct
25 Correct 164 ms 3372 KB Output is correct
26 Correct 153 ms 3376 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 344 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 6 ms 600 KB Output is correct
32 Correct 1 ms 544 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 195 ms 3296 KB Output is correct
35 Correct 188 ms 3156 KB Output is correct
36 Correct 205 ms 3432 KB Output is correct
37 Correct 196 ms 3408 KB Output is correct
38 Correct 163 ms 3352 KB Output is correct
39 Correct 99 ms 2696 KB Output is correct
40 Correct 6 ms 604 KB Output is correct
41 Correct 7 ms 604 KB Output is correct
42 Correct 6 ms 600 KB Output is correct
43 Correct 5 ms 600 KB Output is correct
44 Correct 308 ms 4276 KB Output is correct
45 Correct 254 ms 4040 KB Output is correct
46 Correct 285 ms 3924 KB Output is correct
47 Correct 257 ms 4112 KB Output is correct
48 Correct 158 ms 3664 KB Output is correct
# 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 344 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 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 10 ms 1112 KB Output is correct
27 Correct 9 ms 860 KB Output is correct
28 Correct 9 ms 964 KB Output is correct
29 Correct 8 ms 860 KB Output is correct
30 Correct 5 ms 604 KB Output is correct
31 Correct 7 ms 604 KB Output is correct
32 Correct 6 ms 604 KB Output is correct
33 Correct 6 ms 604 KB Output is correct
34 Correct 8 ms 1120 KB Output is correct
35 Correct 2 ms 348 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 6 ms 744 KB Output is correct
38 Correct 5 ms 604 KB Output is correct
39 Correct 3 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 160 ms 3376 KB Output is correct
51 Correct 107 ms 2652 KB Output is correct
52 Correct 125 ms 2652 KB Output is correct
53 Correct 153 ms 3160 KB Output is correct
54 Correct 153 ms 3372 KB Output is correct
55 Correct 140 ms 3372 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 3 ms 348 KB Output is correct
61 Correct 179 ms 3380 KB Output is correct
62 Correct 179 ms 3168 KB Output is correct
63 Correct 120 ms 2680 KB Output is correct
64 Correct 164 ms 3372 KB Output is correct
65 Correct 153 ms 3376 KB Output is correct
66 Correct 1 ms 348 KB Output is correct
67 Correct 1 ms 344 KB Output is correct
68 Correct 1 ms 344 KB Output is correct
69 Correct 1 ms 348 KB Output is correct
70 Correct 6 ms 600 KB Output is correct
71 Correct 1 ms 544 KB Output is correct
72 Correct 1 ms 348 KB Output is correct
73 Correct 195 ms 3296 KB Output is correct
74 Correct 188 ms 3156 KB Output is correct
75 Correct 205 ms 3432 KB Output is correct
76 Correct 196 ms 3408 KB Output is correct
77 Correct 163 ms 3352 KB Output is correct
78 Correct 99 ms 2696 KB Output is correct
79 Correct 6 ms 604 KB Output is correct
80 Correct 7 ms 604 KB Output is correct
81 Correct 6 ms 600 KB Output is correct
82 Correct 5 ms 600 KB Output is correct
83 Correct 308 ms 4276 KB Output is correct
84 Correct 254 ms 4040 KB Output is correct
85 Correct 285 ms 3924 KB Output is correct
86 Correct 257 ms 4112 KB Output is correct
87 Correct 158 ms 3664 KB Output is correct
88 Correct 925 ms 30556 KB Output is correct
89 Correct 539 ms 22272 KB Output is correct
90 Correct 641 ms 24960 KB Output is correct
91 Correct 445 ms 19404 KB Output is correct
92 Correct 397 ms 10924 KB Output is correct
93 Correct 580 ms 23204 KB Output is correct
94 Correct 424 ms 16040 KB Output is correct
95 Correct 211 ms 13744 KB Output is correct
96 Correct 435 ms 34420 KB Output is correct
97 Correct 163 ms 7128 KB Output is correct
98 Correct 191 ms 15352 KB Output is correct
99 Correct 194 ms 15280 KB Output is correct