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Submission #959972

# Submission time Handle Problem Language Result Execution time Memory
959972 2024-04-09T11:29:06 Z LucaIlie Constellation 3 (JOI20_constellation3) C++17
35 / 100
 1301 ms 524288 KB 
#include <bits/stdc++.h>

using namespace std;

struct star {
    int i, j, c;
};

struct SegTree {
    struct node {
        long long maxx, lazy;
        int leftSon, rightSon;
    };

    int root, lst, rst;
    vector<node> segTree;

    int newNode() {
        int v = segTree.size();
        segTree.push_back( { 0, 0, -1, -1 } );
        return v;
    }

    void init( int l, int r ) {
        lst = l;
        rst = r;
        root = newNode();
    }

    void propag( int v, int l, int r ) {
        segTree[v].maxx += segTree[v].lazy;
        if ( l != r ) {
            if ( segTree[v].leftSon == -1 )
                segTree[v].leftSon = newNode();
            segTree[segTree[v].leftSon].lazy += segTree[v].lazy;
            if ( segTree[v].rightSon == -1 )
                segTree[v].rightSon = newNode();
            segTree[segTree[v].rightSon].lazy += segTree[v].lazy;
        }
        segTree[v].lazy = 0;
    }

    void updatePoint( int v, int l, int r, int p, long long x ) {
        propag( v, l, r );

        if ( l > p || r < p )
            return;

        if ( l == r ) {
            segTree[v].maxx = max( segTree[v].maxx, x );
            return;
        }

        int mid = (l + r) / 2;
        if ( segTree[v].leftSon == -1 )
            segTree[v].leftSon = newNode();
        updatePoint( segTree[v].leftSon, l, mid, p, x );
        if ( segTree[v].leftSon == -1 )
            segTree[v].leftSon = newNode();
        updatePoint( segTree[v].rightSon, mid + 1, r, p, x );


        segTree[v].maxx = max( segTree[segTree[v].leftSon].maxx, segTree[segTree[v].rightSon].maxx );
    }
    void updatePoint( int p, long long x ) {
        updatePoint( root, lst, rst, p, x );
    }

    void updateInterval( int v, int l, int r, int lu, int ru, long long x ) {
        propag( v, l, r );

        if ( l > ru || r < lu )
            return;

        if ( lu <= l && r <= ru ) {
            segTree[v].lazy = x;
            propag( v, l, r );
            return;
        }

        int mid = (l + r) / 2;
        if ( segTree[v].leftSon == -1 )
            segTree[v].leftSon = newNode();
        updateInterval( segTree[v].leftSon, l, mid, lu, ru, x );
        if ( segTree[v].leftSon == -1 )
            segTree[v].leftSon = newNode();
        updateInterval( segTree[v].rightSon, mid + 1, r, lu, ru, x );

        segTree[v].maxx = max( segTree[segTree[v].leftSon].maxx, segTree[segTree[v].rightSon].maxx );
    }
    void updateInterval( int l, int r, long long x ) {
        updateInterval( root, lst, rst, l, r, x );
    }

    long long query( int v, int l, int r, int lq, int rq ) {
        propag( v, l, r );

        if ( l > rq || r < lq )
            return 0;

        if ( lq <= l && r <= rq )
            return segTree[v].maxx;

        int mid = (l + r) / 2;
        long long a = (segTree[v].leftSon == -1 ? 0 : query( segTree[v].leftSon, l, mid, lq, rq ) );
        long long b = (segTree[v].rightSon == -1 ? 0 : query( segTree[v].rightSon, mid + 1, r, lq, rq ) );
        return max( a, b );
    }

    long long query( int r ) {
        return query( root, lst, rst, lst, r );
    }
};

const int MAX_N = 4e5;
const int MAX_M = 4e5;
int n;
int h[MAX_N + 2], parent[MAX_N + 2], leftSon[MAX_N + 2], rightSon[MAX_N + 2];
star stars[MAX_M];
vector<int> starsByColumn[MAX_N + 2];
set<int> heights[MAX_N + 2];
SegTree ds[MAX_N + 2];

void calcCost( int v ) {
    ds[v].init( 0, n + 1 );

    if ( v == 0 )
        return;


    int l = leftSon[v], r = rightSon[v];
    calcCost( leftSon[v] );
    calcCost( rightSon[v] );

    if ( heights[l].size() < heights[r].size())
        swap( l, r );

    vector<pair<int, long long>> upd;
    heights[r].insert( h[v] );
    for ( int x: heights[r] ) {
        if ( x <= h[v] )
            upd.push_back( { x, ds[l].query( x ) + ds[r].query( x ) } );
        else
            upd.push_back( { x, ds[l].query( h[v] ) + ds[r].query( x ) } );
    }

    swap( ds[v], ds[l] );
    swap( heights[v], heights[l] );

    for ( int x: heights[r] )
        heights[v].insert( x );

    ds[v].updateInterval( h[v] + 1, n + 1, ds[r].query( h[v] ));
    for ( auto p: upd )
        ds[v].updatePoint( p.first, p.second );

    for ( int i: starsByColumn[v] ) {
        ds[v].updatePoint( stars[i].j, ds[v].query( h[v] ) + stars[i].c );
        heights[v].insert( stars[i].j );
    }

    heights[l].clear();
    heights[r].clear();
    ds[l].segTree.clear();
    ds[r].segTree.clear();
}

signed main() {
    int m;
    long long total = 0;

    cin >> n;
    for ( int i = 1; i <= n; i++ )
        cin >> h[i];
    cin >> m;
    for ( int i = 0; i < m; i++ ) {
        cin >> stars[i].i >> stars[i].j >> stars[i].c;
        total += stars[i].c;
    }

    h[n + 1] = n + 1;
    vector<int> stack;
    for ( int i = 1; i <= n + 1; i++ ) {
        vector<int> path;
        while ( !stack.empty() && h[i] >= h[stack.back()] ) {
            path.push_back( stack.back() );
            stack.pop_back();
        }
        path.push_back( i );
        stack.push_back( i );

        for ( int j = 0; j < path.size() - 1; j++ )
            parent[path[j]] = path[j + 1];
    }

    for ( int v = 1; v <= n; v++ ) {
        if ( v < parent[v] )
            leftSon[parent[v]] = v;
        else
            rightSon[parent[v]] = v;
    }

    for ( int i = 0; i < m; i++ )
        starsByColumn[stars[i].i].push_back( i );

    calcCost( n + 1 );

    cout << total - ds[n + 1].query( n );

    return 0;
}

Compilation message

constellation3.cpp: In function 'int main()':
constellation3.cpp:192:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  192 |         for ( int j = 0; j < path.size() - 1; j++ )
      |                          ~~^~~~~~~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 52312 KB Output is correct
2 Correct 13 ms 52316 KB Output is correct
3 Correct 13 ms 52316 KB Output is correct
4 Correct 13 ms 52184 KB Output is correct
5 Correct 13 ms 52316 KB Output is correct
6 Correct 12 ms 52312 KB Output is correct
7 Correct 13 ms 52316 KB Output is correct
8 Correct 13 ms 52316 KB Output is correct
9 Correct 14 ms 52188 KB Output is correct
10 Correct 12 ms 52056 KB Output is correct
11 Correct 11 ms 52060 KB Output is correct
12 Correct 13 ms 52060 KB Output is correct
13 Correct 12 ms 52060 KB Output is correct
14 Correct 12 ms 51952 KB Output is correct
15 Correct 12 ms 52060 KB Output is correct
16 Correct 13 ms 49756 KB Output is correct
17 Correct 12 ms 51896 KB Output is correct
18 Correct 12 ms 52060 KB Output is correct
19 Correct 11 ms 51940 KB Output is correct
20 Correct 12 ms 51804 KB Output is correct
21 Correct 12 ms 51940 KB Output is correct
22 Correct 11 ms 52040 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 52312 KB Output is correct
2 Correct 13 ms 52316 KB Output is correct
3 Correct 13 ms 52316 KB Output is correct
4 Correct 13 ms 52184 KB Output is correct
5 Correct 13 ms 52316 KB Output is correct
6 Correct 12 ms 52312 KB Output is correct
7 Correct 13 ms 52316 KB Output is correct
8 Correct 13 ms 52316 KB Output is correct
9 Correct 14 ms 52188 KB Output is correct
10 Correct 12 ms 52056 KB Output is correct
11 Correct 11 ms 52060 KB Output is correct
12 Correct 13 ms 52060 KB Output is correct
13 Correct 12 ms 52060 KB Output is correct
14 Correct 12 ms 51952 KB Output is correct
15 Correct 12 ms 52060 KB Output is correct
16 Correct 13 ms 49756 KB Output is correct
17 Correct 12 ms 51896 KB Output is correct
18 Correct 12 ms 52060 KB Output is correct
19 Correct 11 ms 51940 KB Output is correct
20 Correct 12 ms 51804 KB Output is correct
21 Correct 12 ms 51940 KB Output is correct
22 Correct 11 ms 52040 KB Output is correct
23 Correct 27 ms 58068 KB Output is correct
24 Correct 28 ms 57692 KB Output is correct
25 Correct 28 ms 57692 KB Output is correct
26 Correct 32 ms 57948 KB Output is correct
27 Correct 30 ms 57692 KB Output is correct
28 Correct 28 ms 57716 KB Output is correct
29 Correct 28 ms 57948 KB Output is correct
30 Correct 29 ms 58204 KB Output is correct
31 Correct 28 ms 57936 KB Output is correct
32 Correct 19 ms 54052 KB Output is correct
33 Correct 22 ms 54364 KB Output is correct
34 Correct 20 ms 54364 KB Output is correct
35 Correct 21 ms 54616 KB Output is correct
36 Correct 17 ms 52568 KB Output is correct
37 Correct 17 ms 52568 KB Output is correct
38 Correct 16 ms 50520 KB Output is correct
39 Correct 19 ms 52828 KB Output is correct
40 Correct 17 ms 53340 KB Output is correct
41 Correct 17 ms 52572 KB Output is correct
42 Correct 18 ms 52824 KB Output is correct
43 Correct 18 ms 53084 KB Output is correct
44 Correct 18 ms 52572 KB Output is correct

Subtask #3
0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 52312 KB Output is correct
2 Correct 13 ms 52316 KB Output is correct
3 Correct 13 ms 52316 KB Output is correct
4 Correct 13 ms 52184 KB Output is correct
5 Correct 13 ms 52316 KB Output is correct
6 Correct 12 ms 52312 KB Output is correct
7 Correct 13 ms 52316 KB Output is correct
8 Correct 13 ms 52316 KB Output is correct
9 Correct 14 ms 52188 KB Output is correct
10 Correct 12 ms 52056 KB Output is correct
11 Correct 11 ms 52060 KB Output is correct
12 Correct 13 ms 52060 KB Output is correct
13 Correct 12 ms 52060 KB Output is correct
14 Correct 12 ms 51952 KB Output is correct
15 Correct 12 ms 52060 KB Output is correct
16 Correct 13 ms 49756 KB Output is correct
17 Correct 12 ms 51896 KB Output is correct
18 Correct 12 ms 52060 KB Output is correct
19 Correct 11 ms 51940 KB Output is correct
20 Correct 12 ms 51804 KB Output is correct
21 Correct 12 ms 51940 KB Output is correct
22 Correct 11 ms 52040 KB Output is correct
23 Correct 27 ms 58068 KB Output is correct
24 Correct 28 ms 57692 KB Output is correct
25 Correct 28 ms 57692 KB Output is correct
26 Correct 32 ms 57948 KB Output is correct
27 Correct 30 ms 57692 KB Output is correct
28 Correct 28 ms 57716 KB Output is correct
29 Correct 28 ms 57948 KB Output is correct
30 Correct 29 ms 58204 KB Output is correct
31 Correct 28 ms 57936 KB Output is correct
32 Correct 19 ms 54052 KB Output is correct
33 Correct 22 ms 54364 KB Output is correct
34 Correct 20 ms 54364 KB Output is correct
35 Correct 21 ms 54616 KB Output is correct
36 Correct 17 ms 52568 KB Output is correct
37 Correct 17 ms 52568 KB Output is correct
38 Correct 16 ms 50520 KB Output is correct
39 Correct 19 ms 52828 KB Output is correct
40 Correct 17 ms 53340 KB Output is correct
41 Correct 17 ms 52572 KB Output is correct
42 Correct 18 ms 52824 KB Output is correct
43 Correct 18 ms 53084 KB Output is correct
44 Correct 18 ms 52572 KB Output is correct
45 Runtime error 1301 ms 524288 KB Execution killed with signal 9
46 Halted 0 ms 0 KB -