Cod sursa(job #1482668)

Utilizator tain1234andrei laur tain1234 Data 7 septembrie 2015 18:20:26
Problema Lowest Common Ancestor Scor 0
Compilator cpp Status done
Runda Arhiva educationala Marime 1.73 kb
#include <iostream>
#include <vector>
#include <map>
#include <fstream>
#include <cmath>
using namespace std;
class tree{
public:
	int k=1,root;
	vector<int> e;
	vector<int> d;
	vector<int> h;
	vector<vector<int>> c;
	map<int,vector<int>> N;
	tree(int r){
		root = r;
	}

	void euler(vector<int>& h,int& current, vector<int>& euler1, vector<int>& depth, int dist){
		euler1.push_back(current);
		depth.push_back(dist);
		if (h[current] == -1)h[current] = d.size() - 1;
		for (auto& i : N[current]){
			euler(h,i, euler1, depth, dist + 1);
			euler1.push_back(current);
			depth.push_back(dist);
		}
	}
	void preprocess(){
		h.resize(k+1, -1);
		euler(h,root, e, d, 0);
		c.resize(d.size());
		for (auto&i : c)i.resize(log2(d.size()) + 1);
		rmq2(c, d);
	}
	void rmq2(vector<vector<int>>& M, vector<int>&A){
		int i, j, N = A.size();
		for (i = 0; i < N; i++)
			M[i][0] = i;
		for (j = 1; 1 << j <= N; j++)
		for (i = 0; i + (1 << j) - 1 < N; i++)
		if (A[M[i][j - 1]] < A[M[i + (1 << (j - 1))][j - 1]])
			M[i][j] = M[i][j - 1];
		else
			M[i][j] = M[i + (1 << (j - 1))][j - 1];
	}
	int lca(int a, int b){
		int p1=h[a], p2=h[b];
		if (p2 < p1){
			p1 ^= p2; p2 = p1^p2; p1 ^= p2;
		}
		int k = 0, pow = 1;
		while (pow <= p2 - p1 + 1){ pow <<= 1; ++k; }
		pow >>= 1;
		--k;
		int index = d[c[p1][k]] <= d[c[p2 - pow + 1][k]] ? c[p1][k] : c[p2 - pow + 1][k];
		return e[index];
	}
	void add(int&a, int&b){
		++k;
		N[a].push_back(b);
	}
};
int main(){
	fstream f ("lca.in");
	fstream g("lca.out");
	int n, m,x;
	f >> n >> m;
	tree t(1);
	for (int i = 2; i <= n; ++i){
		f >> x;
		t.add(x, i);
	}
	t.preprocess();
	for (int i = 0; i < m; ++i){
		f >> n >> x;
		g << t.lca(n, x) << endl;
	}
}