#include "migrations.h"
#include<bits/stdc++.h>
using namespace std;
vector<int> d(200073);
int f = 0;
int send_message(int N, int i, int Pi) {
d[i] = d[Pi]+1;
bool nw = 0;
if(d[i] > d[f]) {
nw = 1;
f = i;
}
int n = N-1 - i;
if(n > 14) return 0;
if(nw) return 2;
else if(f & (1 << n)) return 1;
return 0;
}
std::pair<int, int> longest_path(std::vector<int> S) {
int N = S.size();
for(int i=0; i<=14; i++) {
if(S[N-1-i] == 1) f += (1 << i);
else if(S[N-1-i] == 2) return {0, N-1-i};
}
return {0, f};
}
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