Cod sursa(job #2256597)

Utilizator Dobricean_IoanDobricean Ionut Dobricean_Ioan Data 8 octombrie 2018 20:58:31
Problema Heavy Path Decomposition Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 2.92 kb
#include <fstream>
#include <vector>
#include <algorithm>
using namespace std;

ifstream fin("heavypath.in");
ofstream fout("heavypath.out");

class ST {
  public:
    ST(const vector<int> &values)
    {
        for (N = 1; N < int(values.size()); N <<= 1); 

        tree = vector<int>(2 * N, 0);   
        for (size_t i = 0; i < values.size(); ++i) 
            tree[N + i] = values[i];
        for (int x = N - 1; x > 0; --x)
            tree[x] = max(tree[2 * x], tree[2 * x + 1]);
    }

    void Update(int where, const int value) 
    {
        tree[where += N] = value;
        for (where >>= 1; where > 0; where >>= 1)
            tree[where] = max(tree[2 * where], tree[2 * where + 1]);
    }

    int Query(int l, int r) const
    {
        l += N;  r += N;
        int vmax = 0;
        while (l <= r)
        {
            vmax = max(vmax, max(tree[l], tree[r]));
            l = (l + 1) / 2;
            r = (r - 1) / 2;
        }
        return vmax;
    }

  private:
    int N;
    vector<int> tree;
};

vector<vector<int> > G, paths;
int V;
vector<int> v, t, nr, h, pId, pos;
vector<ST> st;

void DFS(const int x)
{
    int hs(0);
    nr[x] = 1;
    for ( const auto& y : G[x] )
    {
        if (y == t[x])
            continue;
        t[y] = x;
        h[y] = h[x] + 1;
        DFS(y);
        nr[x] += nr[y];
        if (hs == 0 || nr[y] > nr[hs])
            hs = y;
    }
    if (hs == 0 ) 
    {
        pId[x] = int(paths.size());
        paths.push_back(vector<int>());
    }
    else
        pId[x] = pId[hs];

    pos[x] = int(paths[pId[x]].size()); 
    paths[pId[x]].push_back(x);
}

void BuildHeavyPath()
{
    t = pId = nr = h = pos = vector<int>(V + 1);

    DFS(1);
	for (const auto& path : paths)  
	{
        vector<int> pathValues;

        for (int x : path)  
            pathValues.push_back(v[x]);

        st.push_back(ST(pathValues));  
          }
}

int Query(int x, int y)
{
    if (pId[x] == pId[y])    
    {
        if (pos[x] > pos[y]) 
            swap(x, y);     

        return st[pId[x]].Query(pos[x], pos[y]);
    }
    if (h[paths[pId[x]].back()] < h[paths[pId[y]].back()])
        swap(x, y);

    return max(st[pId[x]].Query(pos[x], int(paths[pId[x]].size()) - 1),
                          Query(t[paths[pId[x]].back()], y));
}

int main()
{
    int Q;
    fin >> V >> Q;
    v = vector<int>(V + 1);
    for (int x = 1; x <= V; ++x)
        fin >> v[x];
    G = vector< vector<int> >(V + 1, vector<int>());
    for (int e = 1; e < V; ++e)
    {
        int x, y;
        fin >> x >> y;
        G[x].push_back(y);
        G[y].push_back(x);
    }
    BuildHeavyPath();
    int op, x, y, val;
    for (; Q > 0; --Q)
    {
        fin >> op;
        if (op == 0)
        {
            fin >> x >> val;  
            v[x] = val;
            st[pId[x]].Update(pos[x], val);
        }
        else
        {
            fin >> x >> y; 
			fout << Query(x, y) << "\n";
        }
    }
    fin.close();
    fout.close();
    return 0;
}