oj.uz

Submission #959968

# Submission time Handle Problem Language Result Execution time Memory
959968 2024-04-09T11:26:41 Z LucaIlie Constellation 3 (JOI20_constellation3) C++17
35 / 100
 959 ms 524288 KB 
#include <bits/stdc++.h>

#define int long long

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 = 2e5;
const int MAX_M = 2e5;
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:194:28: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  194 |         for ( int j = 0; j < path.size() - 1; j++ )
      |                          ~~^~~~~~~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 31836 KB Output is correct
2 Correct 8 ms 31836 KB Output is correct
3 Correct 8 ms 31888 KB Output is correct
4 Correct 8 ms 31836 KB Output is correct
5 Correct 9 ms 32160 KB Output is correct
6 Correct 8 ms 31836 KB Output is correct
7 Correct 9 ms 31836 KB Output is correct
8 Correct 8 ms 31832 KB Output is correct
9 Correct 9 ms 31836 KB Output is correct
10 Correct 7 ms 31580 KB Output is correct
11 Correct 7 ms 31576 KB Output is correct
12 Correct 7 ms 31580 KB Output is correct
13 Correct 7 ms 31612 KB Output is correct
14 Correct 7 ms 31636 KB Output is correct
15 Correct 8 ms 31832 KB Output is correct
16 Correct 8 ms 29276 KB Output is correct
17 Correct 8 ms 31324 KB Output is correct
18 Correct 7 ms 31612 KB Output is correct
19 Correct 7 ms 31324 KB Output is correct
20 Correct 7 ms 31552 KB Output is correct
21 Correct 7 ms 31576 KB Output is correct
22 Correct 7 ms 31324 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 31836 KB Output is correct
2 Correct 8 ms 31836 KB Output is correct
3 Correct 8 ms 31888 KB Output is correct
4 Correct 8 ms 31836 KB Output is correct
5 Correct 9 ms 32160 KB Output is correct
6 Correct 8 ms 31836 KB Output is correct
7 Correct 9 ms 31836 KB Output is correct
8 Correct 8 ms 31832 KB Output is correct
9 Correct 9 ms 31836 KB Output is correct
10 Correct 7 ms 31580 KB Output is correct
11 Correct 7 ms 31576 KB Output is correct
12 Correct 7 ms 31580 KB Output is correct
13 Correct 7 ms 31612 KB Output is correct
14 Correct 7 ms 31636 KB Output is correct
15 Correct 8 ms 31832 KB Output is correct
16 Correct 8 ms 29276 KB Output is correct
17 Correct 8 ms 31324 KB Output is correct
18 Correct 7 ms 31612 KB Output is correct
19 Correct 7 ms 31324 KB Output is correct
20 Correct 7 ms 31552 KB Output is correct
21 Correct 7 ms 31576 KB Output is correct
22 Correct 7 ms 31324 KB Output is correct
23 Correct 23 ms 39076 KB Output is correct
24 Correct 23 ms 39004 KB Output is correct
25 Correct 25 ms 38992 KB Output is correct
26 Correct 24 ms 39516 KB Output is correct
27 Correct 24 ms 39004 KB Output is correct
28 Correct 24 ms 39060 KB Output is correct
29 Correct 24 ms 39260 KB Output is correct
30 Correct 24 ms 39636 KB Output is correct
31 Correct 24 ms 39260 KB Output is correct
32 Correct 14 ms 34140 KB Output is correct
33 Correct 15 ms 34652 KB Output is correct
34 Correct 16 ms 34888 KB Output is correct
35 Correct 16 ms 34904 KB Output is correct
36 Correct 12 ms 32344 KB Output is correct
37 Correct 13 ms 32348 KB Output is correct
38 Correct 11 ms 30128 KB Output is correct
39 Correct 13 ms 32604 KB Output is correct
40 Correct 13 ms 33116 KB Output is correct
41 Correct 13 ms 32452 KB Output is correct
42 Correct 14 ms 32604 KB Output is correct
43 Correct 13 ms 33128 KB Output is correct
44 Correct 13 ms 32612 KB Output is correct

Subtask #3
0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 31836 KB Output is correct
2 Correct 8 ms 31836 KB Output is correct
3 Correct 8 ms 31888 KB Output is correct
4 Correct 8 ms 31836 KB Output is correct
5 Correct 9 ms 32160 KB Output is correct
6 Correct 8 ms 31836 KB Output is correct
7 Correct 9 ms 31836 KB Output is correct
8 Correct 8 ms 31832 KB Output is correct
9 Correct 9 ms 31836 KB Output is correct
10 Correct 7 ms 31580 KB Output is correct
11 Correct 7 ms 31576 KB Output is correct
12 Correct 7 ms 31580 KB Output is correct
13 Correct 7 ms 31612 KB Output is correct
14 Correct 7 ms 31636 KB Output is correct
15 Correct 8 ms 31832 KB Output is correct
16 Correct 8 ms 29276 KB Output is correct
17 Correct 8 ms 31324 KB Output is correct
18 Correct 7 ms 31612 KB Output is correct
19 Correct 7 ms 31324 KB Output is correct
20 Correct 7 ms 31552 KB Output is correct
21 Correct 7 ms 31576 KB Output is correct
22 Correct 7 ms 31324 KB Output is correct
23 Correct 23 ms 39076 KB Output is correct
24 Correct 23 ms 39004 KB Output is correct
25 Correct 25 ms 38992 KB Output is correct
26 Correct 24 ms 39516 KB Output is correct
27 Correct 24 ms 39004 KB Output is correct
28 Correct 24 ms 39060 KB Output is correct
29 Correct 24 ms 39260 KB Output is correct
30 Correct 24 ms 39636 KB Output is correct
31 Correct 24 ms 39260 KB Output is correct
32 Correct 14 ms 34140 KB Output is correct
33 Correct 15 ms 34652 KB Output is correct
34 Correct 16 ms 34888 KB Output is correct
35 Correct 16 ms 34904 KB Output is correct
36 Correct 12 ms 32344 KB Output is correct
37 Correct 13 ms 32348 KB Output is correct
38 Correct 11 ms 30128 KB Output is correct
39 Correct 13 ms 32604 KB Output is correct
40 Correct 13 ms 33116 KB Output is correct
41 Correct 13 ms 32452 KB Output is correct
42 Correct 14 ms 32604 KB Output is correct
43 Correct 13 ms 33128 KB Output is correct
44 Correct 13 ms 32612 KB Output is correct
45 Runtime error 959 ms 524288 KB Execution killed with signal 9
46 Halted 0 ms 0 KB -