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Submission #899682

# Submission time Handle Problem Language Result Execution time Memory
899682 2024-01-06T21:11:59 Z LucaIlie Worst Reporter 4 (JOI21_worst_reporter4) C++17
100 / 100
 447 ms 96932 KB 
#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 2e5;
int n;
bool vis[MAX_N + 1];
int parent[MAX_N + 1], height[MAX_N + 1], cost[MAX_N + 1], sc[MAX_N + 1];
vector <int> edges[MAX_N + 1], children[MAX_N + 1];
map <int, long long> inc[MAX_N + 1];

void computeDP( int u ) {
    sc[u] = cost[u];
    for ( int v: children[u] ) {
        computeDP( v );
        sc[u] += sc[v];
    }

    int maxSize = 0, h = -1;
    for ( int v: children[u] ) {
        if ( inc[v].size() > maxSize ) {
            maxSize = inc[v].size();
            h = v;
        }
    }

    inc[u][-1] = 0;
    if ( h == -1 ) {
        inc[u][0] -= cost[u];
        inc[u][height[u] + 1] += cost[u];

    } else {
        swap( inc[u], inc[h] );
        for ( int v: children[u] ) {
            if ( v == h )
                continue;
            for ( auto x: inc[v] )
                inc[u][x.first] += x.second;
            inc[v].clear();
        }

        auto p = inc[u].lower_bound( height[u] );
        if ( p != inc[u].begin() ) {
            p--;
            long long c = inc[u][height[u]];
            vector<pair<int, long long>> pos;
            pos.push_back( { height[u], 0 } );
            while ( p->first != -1 && c <= cost[u] ) {
                pos.push_back( { p->first, c } );
                c += p->second;
                p--;
            }
            inc[u][pos.back().first] += pos.back().second - cost[u];
            for ( int i = pos.size() - 2; i >= 0; i-- )
                inc[u].erase( pos[i].first );
            inc[u][height[u] + 1] += cost[u];
        }
    }
    inc[u][-1] = 0;
}

vector<int> st;
vector<vector<int>> cycles;
bool onCycle[MAX_N + 1];

int main() {
    long long c = 0;

    cin >> n;
    for ( int v = 1; v <= n; v++ ) {
        cin >> parent[v] >> height[v] >> cost[v];
        edges[parent[v]].push_back( v );
        c += cost[v];
    }

    for ( int v = 1; v <= n; v++ ) {
        if ( vis[v] || edges[v].size() > 0 )
            continue;
        vector<int> vert;
        int u = v;
        while ( !vis[u] ) {
            vert.push_back( u );
            vis[u] = true;
            u = parent[u];
        }
        int i = vert.size() - 1;
        vector<int> cycle;
        while ( i >= 0 && vert[i] != u ) {
            cycle.push_back( vert[i] );
            i--;
        }
        cycle.push_back( u );
        if ( i >= 0 )
            cycles.push_back( cycle );
    }
    for ( int v = 1; v <= n; v++ ) {
        if ( vis[v] )
            continue;
        vector<int> vert;
        int u = v;
        while ( !vis[u] ) {
            vert.push_back( u );
            vis[u] = true;
            u = parent[u];
        }
        int i = vert.size() - 1;
        vector<int> cycle;
        while ( i >= 0 && vert[i] != u ) {
            cycle.push_back( vert[i] );
            i--;
        }
        cycle.push_back( u );
        if ( i >= 0 )
            cycles.push_back( cycle );
    }
    for ( int i = 0; i < cycles.size(); i++ ) {
        for ( int v: cycles[i] )
            onCycle[v] = true;
    }
    for ( int v = 1; v <= n; v++ ) {
        if ( !onCycle[v] )
            children[parent[v]].push_back( v );
    }
    for ( int v = 1; v <= n; v++ ) {
        if ( onCycle[v] ) {
            for ( int u: children[v] )
                computeDP( u );
        }
    }

    long long ans = c;
    for ( vector<int> cycle: cycles ) {
        map<int, long long> upd;
        for ( int v: cycle ) {
            upd[height[v]] -= cost[v];
            upd[height[v] + 1] += cost[v];
            for ( int u: children[v] ) {
                for ( auto p: inc[u] )
                    upd[p.first] += p.second;
            }
        }
        long long minS = LONG_LONG_MAX, s = 0;
        for ( auto p: upd ) {
            s += p.second;
            if ( s < minS )
                minS = s;
        }
        ans += minS;
    }

    cout << ans;

    return 0;
}

Compilation message

worst_reporter2.cpp: In function 'void computeDP(int)':
worst_reporter2.cpp:21:28: warning: comparison of integer expressions of different signedness: 'std::map<int, long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   21 |         if ( inc[v].size() > maxSize ) {
      |              ~~~~~~~~~~~~~~^~~~~~~~~
worst_reporter2.cpp: In function 'int main()':
worst_reporter2.cpp:116:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  116 |     for ( int i = 0; i < cycles.size(); i++ ) {
      |                      ~~^~~~~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 20828 KB Output is correct
2 Correct 5 ms 20936 KB Output is correct
3 Correct 4 ms 20828 KB Output is correct
4 Correct 5 ms 20828 KB Output is correct
5 Correct 12 ms 21748 KB Output is correct
6 Correct 11 ms 21340 KB Output is correct
7 Correct 10 ms 21340 KB Output is correct
8 Correct 12 ms 21852 KB Output is correct
9 Correct 11 ms 21336 KB Output is correct
10 Correct 11 ms 21340 KB Output is correct
11 Correct 10 ms 21440 KB Output is correct
12 Correct 12 ms 22624 KB Output is correct
13 Correct 12 ms 22620 KB Output is correct
14 Correct 11 ms 22108 KB Output is correct
15 Correct 11 ms 22164 KB Output is correct
16 Correct 12 ms 21852 KB Output is correct
17 Correct 11 ms 21340 KB Output is correct
18 Correct 9 ms 21340 KB Output is correct
19 Correct 11 ms 22108 KB Output is correct
20 Correct 10 ms 21852 KB Output is correct
21 Correct 9 ms 21852 KB Output is correct
22 Correct 12 ms 22364 KB Output is correct
23 Correct 10 ms 21912 KB Output is correct
24 Correct 13 ms 22108 KB Output is correct
25 Correct 10 ms 22000 KB Output is correct
26 Correct 10 ms 22624 KB Output is correct
27 Correct 11 ms 22228 KB Output is correct
28 Correct 11 ms 22364 KB Output is correct
29 Correct 13 ms 22616 KB Output is correct
30 Correct 11 ms 22620 KB Output is correct
31 Correct 12 ms 22620 KB Output is correct

Subtask #2
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 20828 KB Output is correct
2 Correct 5 ms 20936 KB Output is correct
3 Correct 4 ms 20828 KB Output is correct
4 Correct 5 ms 20828 KB Output is correct
5 Correct 12 ms 21748 KB Output is correct
6 Correct 11 ms 21340 KB Output is correct
7 Correct 10 ms 21340 KB Output is correct
8 Correct 12 ms 21852 KB Output is correct
9 Correct 11 ms 21336 KB Output is correct
10 Correct 11 ms 21340 KB Output is correct
11 Correct 10 ms 21440 KB Output is correct
12 Correct 12 ms 22624 KB Output is correct
13 Correct 12 ms 22620 KB Output is correct
14 Correct 11 ms 22108 KB Output is correct
15 Correct 11 ms 22164 KB Output is correct
16 Correct 12 ms 21852 KB Output is correct
17 Correct 11 ms 21340 KB Output is correct
18 Correct 9 ms 21340 KB Output is correct
19 Correct 11 ms 22108 KB Output is correct
20 Correct 10 ms 21852 KB Output is correct
21 Correct 9 ms 21852 KB Output is correct
22 Correct 12 ms 22364 KB Output is correct
23 Correct 10 ms 21912 KB Output is correct
24 Correct 13 ms 22108 KB Output is correct
25 Correct 10 ms 22000 KB Output is correct
26 Correct 10 ms 22624 KB Output is correct
27 Correct 11 ms 22228 KB Output is correct
28 Correct 11 ms 22364 KB Output is correct
29 Correct 13 ms 22616 KB Output is correct
30 Correct 11 ms 22620 KB Output is correct
31 Correct 12 ms 22620 KB Output is correct
32 Correct 12 ms 21848 KB Output is correct
33 Correct 415 ms 57836 KB Output is correct
34 Correct 326 ms 38576 KB Output is correct
35 Correct 417 ms 57628 KB Output is correct
36 Correct 318 ms 38388 KB Output is correct
37 Correct 286 ms 38272 KB Output is correct
38 Correct 250 ms 38120 KB Output is correct
39 Correct 327 ms 88232 KB Output is correct
40 Correct 302 ms 88088 KB Output is correct
41 Correct 241 ms 88232 KB Output is correct
42 Correct 314 ms 69636 KB Output is correct
43 Correct 293 ms 69148 KB Output is correct
44 Correct 395 ms 56620 KB Output is correct
45 Correct 289 ms 38272 KB Output is correct
46 Correct 215 ms 37716 KB Output is correct
47 Correct 411 ms 70828 KB Output is correct
48 Correct 260 ms 56736 KB Output is correct
49 Correct 222 ms 53792 KB Output is correct
50 Correct 294 ms 74156 KB Output is correct
51 Correct 203 ms 62036 KB Output is correct
52 Correct 447 ms 68816 KB Output is correct
53 Correct 262 ms 67192 KB Output is correct
54 Correct 247 ms 85032 KB Output is correct
55 Correct 318 ms 72356 KB Output is correct
56 Correct 311 ms 89188 KB Output is correct
57 Correct 325 ms 96932 KB Output is correct
58 Correct 380 ms 91556 KB Output is correct
59 Correct 372 ms 91236 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 20828 KB Output is correct
2 Correct 5 ms 20936 KB Output is correct
3 Correct 4 ms 20828 KB Output is correct
4 Correct 5 ms 20828 KB Output is correct
5 Correct 12 ms 21748 KB Output is correct
6 Correct 11 ms 21340 KB Output is correct
7 Correct 10 ms 21340 KB Output is correct
8 Correct 12 ms 21852 KB Output is correct
9 Correct 11 ms 21336 KB Output is correct
10 Correct 11 ms 21340 KB Output is correct
11 Correct 10 ms 21440 KB Output is correct
12 Correct 12 ms 22624 KB Output is correct
13 Correct 12 ms 22620 KB Output is correct
14 Correct 11 ms 22108 KB Output is correct
15 Correct 11 ms 22164 KB Output is correct
16 Correct 12 ms 21852 KB Output is correct
17 Correct 11 ms 21340 KB Output is correct
18 Correct 9 ms 21340 KB Output is correct
19 Correct 11 ms 22108 KB Output is correct
20 Correct 10 ms 21852 KB Output is correct
21 Correct 9 ms 21852 KB Output is correct
22 Correct 12 ms 22364 KB Output is correct
23 Correct 10 ms 21912 KB Output is correct
24 Correct 13 ms 22108 KB Output is correct
25 Correct 10 ms 22000 KB Output is correct
26 Correct 10 ms 22624 KB Output is correct
27 Correct 11 ms 22228 KB Output is correct
28 Correct 11 ms 22364 KB Output is correct
29 Correct 13 ms 22616 KB Output is correct
30 Correct 11 ms 22620 KB Output is correct
31 Correct 12 ms 22620 KB Output is correct
32 Correct 12 ms 21848 KB Output is correct
33 Correct 415 ms 57836 KB Output is correct
34 Correct 326 ms 38576 KB Output is correct
35 Correct 417 ms 57628 KB Output is correct
36 Correct 318 ms 38388 KB Output is correct
37 Correct 286 ms 38272 KB Output is correct
38 Correct 250 ms 38120 KB Output is correct
39 Correct 327 ms 88232 KB Output is correct
40 Correct 302 ms 88088 KB Output is correct
41 Correct 241 ms 88232 KB Output is correct
42 Correct 314 ms 69636 KB Output is correct
43 Correct 293 ms 69148 KB Output is correct
44 Correct 395 ms 56620 KB Output is correct
45 Correct 289 ms 38272 KB Output is correct
46 Correct 215 ms 37716 KB Output is correct
47 Correct 411 ms 70828 KB Output is correct
48 Correct 260 ms 56736 KB Output is correct
49 Correct 222 ms 53792 KB Output is correct
50 Correct 294 ms 74156 KB Output is correct
51 Correct 203 ms 62036 KB Output is correct
52 Correct 447 ms 68816 KB Output is correct
53 Correct 262 ms 67192 KB Output is correct
54 Correct 247 ms 85032 KB Output is correct
55 Correct 318 ms 72356 KB Output is correct
56 Correct 311 ms 89188 KB Output is correct
57 Correct 325 ms 96932 KB Output is correct
58 Correct 380 ms 91556 KB Output is correct
59 Correct 372 ms 91236 KB Output is correct
60 Correct 4 ms 20828 KB Output is correct
61 Correct 4 ms 20828 KB Output is correct
62 Correct 5 ms 20824 KB Output is correct
63 Correct 6 ms 20944 KB Output is correct
64 Correct 417 ms 60036 KB Output is correct
65 Correct 343 ms 44684 KB Output is correct
66 Correct 396 ms 58852 KB Output is correct
67 Correct 351 ms 44148 KB Output is correct
68 Correct 335 ms 44144 KB Output is correct
69 Correct 278 ms 43876 KB Output is correct
70 Correct 338 ms 52688 KB Output is correct
71 Correct 206 ms 35428 KB Output is correct
72 Correct 389 ms 60812 KB Output is correct
73 Correct 217 ms 36632 KB Output is correct
74 Correct 439 ms 72460 KB Output is correct
75 Correct 302 ms 53840 KB Output is correct
76 Correct 331 ms 53716 KB Output is correct
77 Correct 358 ms 70284 KB Output is correct
78 Correct 223 ms 51396 KB Output is correct
79 Correct 381 ms 60300 KB Output is correct
80 Correct 260 ms 38716 KB Output is correct
81 Correct 232 ms 37940 KB Output is correct
82 Correct 258 ms 60704 KB Output is correct
83 Correct 206 ms 46460 KB Output is correct
84 Correct 361 ms 71896 KB Output is correct
85 Correct 371 ms 71724 KB Output is correct
86 Correct 328 ms 65560 KB Output is correct
87 Correct 403 ms 71892 KB Output is correct
88 Correct 358 ms 71848 KB Output is correct