#include "migrations.h"
#include <queue>
std::vector<std::vector<int>> nn;
int send_message(int N, int i, int Pi)
{
  if (nn.size() == 0)
  {
    nn = std::vector<std::vector<int>>(N, std::vector<int>());
  }
  nn[i].push_back(Pi);
  nn[Pi].push_back(i);
  if (i == N - 1)
  {
    std::queue<int> q;
    q.push(0);
    std::vector<int> d(N, -1);
    while (q.size() > 0)
    {
      int j = q.front();
      q.pop();
      for (int k : nn[j])
      {
        if (d[k] == -1)
        {
          d[k] = 1 + d[j];
          q.push(k);
        }
      }
    }
    int max = 0;
    for (int j = 1; j < N; j++)
      if (d[max] < d[j])
        max = j;
    return max;
  }
  else
  {
    return 0;
  }
}
std::pair<int, int> longest_path(std::vector<int> S)
{
  return {0, S.back()};
}
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