Cod sursa(job #3215604)

Utilizator AlexandruBenescuAlexandru Benescu AlexandruBenescu Data 15 martie 2024 10:48:18
Problema Lowest Common Ancestor Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.09 kb
#include <bits/stdc++.h>
#define L 100005
#define S 18
using namespace std;
ifstream fin("lca.in");
ofstream fout("lca.out");

int n, q;
int t[S][L], lev[L];

void build_t() {
  lev[1] = 1;
  for (int bit = 1; bit < S; bit++)
    for (int i = 1; i <= n; i++)
      t[bit][i] = t[bit - 1][t[bit - 1][i]];
}

int getLev(int node) {
  if (lev[node])
    return lev[node];
  return lev[node] = getLev(t[0][node]) + 1;
}

int getKthParent(int node, int k) {
  for (int bit = 0; bit < S; bit++)
    if (k & (1 << bit))
      node = t[bit][node];
  return node;
}

int lca(int x, int y) {
  if (getLev(x) < getLev(y))
    swap(x, y);
  x = getKthParent(x, getLev(x) - getLev(y));
  if (x == y)
    return x;
  for (int bit = S - 1; bit >= 0; bit--)
    if (t[bit][x] != t[bit][y]) {
      x = t[bit][x];
      y = t[bit][y];
    }
  return t[0][x];
}

int main() {
  fin >> n >> q;
  for (int i = 2; i <= n; i++)
    fin >> t[0][i];

  build_t();

  for (int i = 1; i <= q; i++) {
    int x, y;
    fin >> x >> y;
    fout << lca(x, y) << "\n";
  }
  return 0;
}