oj.uz

Submission #823303

# Submission time Handle Problem Language Result Execution time Memory
823303 2023-08-12T10:37:02 Z LucaIlie Construction of Highway (JOI18_construction) C++17
7 / 100
 2000 ms 9684 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast,unroll-loops")

using namespace std;

struct vr {
    int val, rep;
};

const int UNDEF = 0;
const int INF = 1e9;
const int MAX_N = 1e5;
const int MAX_LOG_N = 17;
int c[MAX_N], parent[MAX_LOG_N + 1][MAX_N], ord[MAX_N];
vector<int> edges[MAX_N];
vr elem[MAX_N];

struct info {
    int minn, maxx;

    info operator + ( info &x ) const {
        return { min( minn, x.minn ), max( maxx, x.maxx ) };
    }
};

struct SegTree {
    info segTree[4 * MAX_N];
    int lazy[4 * MAX_N];

    void init() {
        for ( int v = 0; v < 4 * MAX_N; v++ ) {
            segTree[v] = { INF, -INF };
            lazy[v] = UNDEF;
        }
    }

    void propag( int v, int l, int r ) {
        if ( lazy[v] == UNDEF )
            return;

        segTree[v] = { lazy[v], lazy[v] };
        if ( l != r )
            lazy[v * 2 + 1] = lazy[v * 2 + 2] = lazy[v];
        lazy[v] = UNDEF;
    }

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

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

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

        int mid = (l + r) / 2;
        update( v * 2 + 1, l, mid, lu, ru, x );
        update( v * 2 + 2, mid + 1, r, lu, ru, x );
        segTree[v] = segTree[v * 2 + 1] + segTree[v * 2 + 2];
    }

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

        if ( l > rq || r < lq )
            return { INF, -INF };

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

        int mid = (l + r) / 2;
        info a = query( v * 2 + 1, l, mid, lq, rq );
        info b = query( v * 2 + 2, mid + 1, r, lq, rq );
        return a + b;
    }
};

struct HPD {
    int n, curPos;
    int sz[MAX_N], depth[MAX_N], heavy[MAX_N], head[MAX_N], leftPos[MAX_N], rightPos[MAX_N];
    SegTree aint;

    void dfs( int u, int p ) {
        int maxSz = -1;

        parent[0][u] = p;
        depth[u] = depth[p] + 1;
        sz[u] = 1;
        heavy[u] = UNDEF;
        for ( int v: edges[u] ) {
            if ( v == p )
                continue;
            dfs( v, u );
            sz[u] += sz[v];
            if ( sz[v] > maxSz ) {
                maxSz = sz[v];
                heavy[u] = v;
            }
        }
    }

    void decomp( int u, int p, int h ) {
        head[u] = h;
        leftPos[u] = ++curPos;
        if ( heavy[u] != UNDEF )
            decomp( heavy[u], u, h );
        for ( int v: edges[u] ) {
            if ( v == p || v == heavy[u] )
                continue;
            decomp( v, u, v );
        }
        rightPos[u] = curPos;
    }

    void init( int _n ) {
        n = _n;
        aint.init();
        parent[0][1] = UNDEF;
        dfs( 1, UNDEF );
        decomp( 1, UNDEF, 1 );
    }


    void updatePath( int u, int x ) {
        while ( u != 0 ) {
            aint.update( 0, 1, n, leftPos[head[u]], leftPos[u], x );
            u = parent[0][head[u]];
        }
    }

    info queryPath( int u, int v ) {
       info ans = { INF, -INF };

        while ( head[u] != head[v] ) {
            if ( depth[head[u]] < depth[head[v]] )
                swap( u, v );
            info a = aint.query( 0, 1, n, leftPos[head[u]], leftPos[u] );
            ans = ans + a;
            u = parent[0][head[u]];
        }
        if ( depth[u] > depth[v] )
            swap( u, v );
        info a = aint.query( 0, 1, n, leftPos[u], leftPos[v] );
        ans = ans + a;

        return ans;
    }
};

struct AIB {
    int aib[MAX_N + 1];

    void update( int i, int x ) {
        while ( i <= MAX_N ) {
            aib[i] += x;
            i += (i & -i);
        }
    }

    int query( int i ) {
        int sum = 0;
        while ( i > 0 ) {
            sum += aib[i];
            i -= (i & -i);
        }
        return sum;
    }
};

AIB aib;
HPD arb;
map<int, int> normal;

int main() {
    ios_base::sync_with_stdio( false );
    cin.tie( 0 );
    cout.tie( 0 );
    int n;

    cin >> n;
    for ( int u = 1; u <= n; u++ )
        cin >> c[u], normal[c[u]] = 1;
    int val = 0;
    for ( auto x: normal )
        normal[x.first] = ++val;
    for ( int u = 1; u <= n; u++ )
        c[u] = normal[c[u]];

    for ( int i = 0; i < n - 1; i++ ) {
        int u, v;
        cin >> u >> v;
        parent[0][v] = u;
        edges[u].push_back( v );
        ord[i] = v;
    }

    for ( int pas = 1; pas <= MAX_LOG_N; pas++ ) {
        for ( int u = 1; u <= n; u++ )
            parent[pas][u] = parent[pas - 1][parent[pas - 1][u]];
    }

    arb.init( n );
    arb.updatePath( 1, c[1] );
    int sumSize = 0;
    for ( int i = 0; i < n - 1; i++ ) {
        int u = ord[i];
        int elemSize = 0;

        int v = parent[0][u];
        while( v != UNDEF ) {
            int c = arb.queryPath( v, v ).minn;
            int nr = 1;
            for ( int pas = MAX_LOG_N; pas >= 0; pas-- ) {
                if ( parent[pas][v] != UNDEF && arb.queryPath( u, parent[pas][v] ).maxx == c && arb.queryPath( u, parent[pas][v] ).minn == c ) {
                    v = parent[pas][v];
                    nr += (1 << pas);
                }
            }
            elem[elemSize++] = { c, nr };
            v = parent[0][v];
        }
        sumSize += elemSize;

        long long ans = 0;
        for ( int i = 0; i < elemSize; i++ ) {
            vr x = elem[i];
            ans += (long long)x.rep * aib.query( x.val -1 );
            aib.update( x.val, x.rep );
        }
        for ( int i = 0; i < elemSize; i++ ) {
            vr x = elem[i];
            aib.update( x.val, -x.rep );
        }
        cout << ans << "\n";

        arb.updatePath( u, c[u] );
    }
    if ( sumSize > 1e6 )
        return 1;

    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7508 KB Output is correct
2 Correct 3 ms 7508 KB Output is correct
3 Correct 3 ms 7508 KB Output is correct
4 Correct 4 ms 7508 KB Output is correct
5 Correct 5 ms 7520 KB Output is correct
6 Correct 5 ms 7604 KB Output is correct
7 Correct 5 ms 7508 KB Output is correct
8 Correct 4 ms 7764 KB Output is correct
9 Correct 4 ms 7764 KB Output is correct
10 Correct 4 ms 7764 KB Output is correct
11 Correct 4 ms 7636 KB Output is correct
12 Correct 4 ms 7636 KB Output is correct
13 Correct 4 ms 7636 KB Output is correct
14 Correct 49 ms 7692 KB Output is correct
15 Correct 6 ms 7508 KB Output is correct
16 Correct 6 ms 7508 KB Output is correct
17 Correct 6 ms 7604 KB Output is correct
18 Correct 6 ms 7508 KB Output is correct
19 Correct 25 ms 7696 KB Output is correct
20 Correct 24 ms 7676 KB Output is correct
21 Correct 24 ms 7636 KB Output is correct
22 Correct 5 ms 7508 KB Output is correct
23 Correct 5 ms 7508 KB Output is correct
24 Correct 5 ms 7592 KB Output is correct
25 Correct 5 ms 7592 KB Output is correct
26 Correct 4 ms 7636 KB Output is correct
27 Correct 4 ms 7636 KB Output is correct
28 Correct 4 ms 7636 KB Output is correct
29 Correct 51 ms 7636 KB Output is correct
30 Correct 6 ms 7508 KB Output is correct
31 Correct 6 ms 7516 KB Output is correct
32 Correct 28 ms 7636 KB Output is correct
33 Correct 22 ms 7648 KB Output is correct
34 Correct 16 ms 7636 KB Output is correct
35 Correct 12 ms 7508 KB Output is correct
36 Correct 17 ms 7624 KB Output is correct
37 Correct 14 ms 7612 KB Output is correct
38 Correct 11 ms 7508 KB Output is correct
39 Correct 14 ms 7656 KB Output is correct
40 Correct 9 ms 7636 KB Output is correct
41 Correct 8 ms 7628 KB Output is correct
42 Correct 17 ms 7508 KB Output is correct
43 Correct 9 ms 7508 KB Output is correct
44 Correct 8 ms 7600 KB Output is correct

Subtask #2
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7508 KB Output is correct
2 Correct 3 ms 7508 KB Output is correct
3 Correct 3 ms 7508 KB Output is correct
4 Correct 4 ms 7508 KB Output is correct
5 Correct 5 ms 7520 KB Output is correct
6 Correct 5 ms 7604 KB Output is correct
7 Correct 5 ms 7508 KB Output is correct
8 Correct 4 ms 7764 KB Output is correct
9 Correct 4 ms 7764 KB Output is correct
10 Correct 4 ms 7764 KB Output is correct
11 Correct 4 ms 7636 KB Output is correct
12 Correct 4 ms 7636 KB Output is correct
13 Correct 4 ms 7636 KB Output is correct
14 Correct 49 ms 7692 KB Output is correct
15 Correct 6 ms 7508 KB Output is correct
16 Correct 6 ms 7508 KB Output is correct
17 Correct 6 ms 7604 KB Output is correct
18 Correct 6 ms 7508 KB Output is correct
19 Correct 25 ms 7696 KB Output is correct
20 Correct 24 ms 7676 KB Output is correct
21 Correct 24 ms 7636 KB Output is correct
22 Correct 5 ms 7508 KB Output is correct
23 Correct 5 ms 7508 KB Output is correct
24 Correct 5 ms 7592 KB Output is correct
25 Correct 5 ms 7592 KB Output is correct
26 Correct 4 ms 7636 KB Output is correct
27 Correct 4 ms 7636 KB Output is correct
28 Correct 4 ms 7636 KB Output is correct
29 Correct 51 ms 7636 KB Output is correct
30 Correct 6 ms 7508 KB Output is correct
31 Correct 6 ms 7516 KB Output is correct
32 Correct 28 ms 7636 KB Output is correct
33 Correct 22 ms 7648 KB Output is correct
34 Correct 16 ms 7636 KB Output is correct
35 Correct 12 ms 7508 KB Output is correct
36 Correct 17 ms 7624 KB Output is correct
37 Correct 14 ms 7612 KB Output is correct
38 Correct 11 ms 7508 KB Output is correct
39 Correct 14 ms 7656 KB Output is correct
40 Correct 9 ms 7636 KB Output is correct
41 Correct 8 ms 7628 KB Output is correct
42 Correct 17 ms 7508 KB Output is correct
43 Correct 9 ms 7508 KB Output is correct
44 Correct 8 ms 7600 KB Output is correct
45 Correct 8 ms 7636 KB Output is correct
46 Correct 33 ms 8184 KB Output is correct
47 Correct 46 ms 8172 KB Output is correct
48 Correct 31 ms 8200 KB Output is correct
49 Correct 15 ms 9684 KB Output is correct
50 Correct 15 ms 9616 KB Output is correct
51 Correct 18 ms 9556 KB Output is correct
52 Correct 18 ms 8868 KB Output is correct
53 Correct 18 ms 8868 KB Output is correct
54 Correct 20 ms 8872 KB Output is correct
55 Correct 20 ms 8860 KB Output is correct
56 Execution timed out 2072 ms 8860 KB Time limit exceeded
57 Halted 0 ms 0 KB -

Subtask #3
0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7508 KB Output is correct
2 Correct 3 ms 7508 KB Output is correct
3 Correct 3 ms 7508 KB Output is correct
4 Correct 4 ms 7508 KB Output is correct
5 Correct 5 ms 7520 KB Output is correct
6 Correct 5 ms 7604 KB Output is correct
7 Correct 5 ms 7508 KB Output is correct
8 Correct 4 ms 7764 KB Output is correct
9 Correct 4 ms 7764 KB Output is correct
10 Correct 4 ms 7764 KB Output is correct
11 Correct 4 ms 7636 KB Output is correct
12 Correct 4 ms 7636 KB Output is correct
13 Correct 4 ms 7636 KB Output is correct
14 Correct 49 ms 7692 KB Output is correct
15 Correct 6 ms 7508 KB Output is correct
16 Correct 6 ms 7508 KB Output is correct
17 Correct 6 ms 7604 KB Output is correct
18 Correct 6 ms 7508 KB Output is correct
19 Correct 25 ms 7696 KB Output is correct
20 Correct 24 ms 7676 KB Output is correct
21 Correct 24 ms 7636 KB Output is correct
22 Correct 5 ms 7508 KB Output is correct
23 Correct 5 ms 7508 KB Output is correct
24 Correct 5 ms 7592 KB Output is correct
25 Correct 5 ms 7592 KB Output is correct
26 Correct 4 ms 7636 KB Output is correct
27 Correct 4 ms 7636 KB Output is correct
28 Correct 4 ms 7636 KB Output is correct
29 Correct 51 ms 7636 KB Output is correct
30 Correct 6 ms 7508 KB Output is correct
31 Correct 6 ms 7516 KB Output is correct
32 Correct 28 ms 7636 KB Output is correct
33 Correct 22 ms 7648 KB Output is correct
34 Correct 16 ms 7636 KB Output is correct
35 Correct 12 ms 7508 KB Output is correct
36 Correct 17 ms 7624 KB Output is correct
37 Correct 14 ms 7612 KB Output is correct
38 Correct 11 ms 7508 KB Output is correct
39 Correct 14 ms 7656 KB Output is correct
40 Correct 9 ms 7636 KB Output is correct
41 Correct 8 ms 7628 KB Output is correct
42 Correct 17 ms 7508 KB Output is correct
43 Correct 9 ms 7508 KB Output is correct
44 Correct 8 ms 7600 KB Output is correct
45 Correct 8 ms 7636 KB Output is correct
46 Correct 33 ms 8184 KB Output is correct
47 Correct 46 ms 8172 KB Output is correct
48 Correct 31 ms 8200 KB Output is correct
49 Correct 15 ms 9684 KB Output is correct
50 Correct 15 ms 9616 KB Output is correct
51 Correct 18 ms 9556 KB Output is correct
52 Correct 18 ms 8868 KB Output is correct
53 Correct 18 ms 8868 KB Output is correct
54 Correct 20 ms 8872 KB Output is correct
55 Correct 20 ms 8860 KB Output is correct
56 Execution timed out 2072 ms 8860 KB Time limit exceeded
57 Halted 0 ms 0 KB -