This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "bits/stdc++.h"
using namespace std;
#define fi first
#define se second
#define ll long long
#define dbg(v) cerr<<#v<<" = "<<v<<'\n'
#define vi vector<int>
#define vl vector <ll>
#define pii pair<int,int>
#define mp make_pair
#define db long double
#define pb push_back
#define all(s) s.begin(),s.end()
#include "grader.h"
const int N = (int)(1e4) + 5;
void encode(int nv, int nh, int ne, int *a, int *b)
{
    static vi g[N];
    static int D[N];
    static int p[N];
    int n = nv;
    int nn = nh;
    int m = ne;
    for (int i = 1;i < n;++i)
        p[i] = -1,g[i].clear();
    for (int i = 0;i < m;++i)
        g[a[i]].pb(b[i]),g[b[i]].pb(a[i]);
    queue < int > Q;
    Q.push(0);
    while (!Q.empty())
    {
        int node = Q.front();
        Q.pop();
        for (auto it : g[node])
            if (p[it] == -1)
                p[it] = node,Q.push(it);
    }
    for (int i = 1;i < n;++i)
        for (int j = 0;j < 10;++j)
            encode_bit((p[i] >> j) & 1);
    for (int i = 0;i < nn;++i)
    {
        queue < int > Q;
        for (int j = 0;j < n;++j)
            D[j] = 1e9;
        D[i] = 0;
        Q.push(i);
        while (!Q.empty())
        {
            int node = Q.front();
            Q.pop();
            for (auto it : g[node])
                if (D[it] > D[node] + 1)
                    D[it] = D[node] + 1,Q.push(it);
        }
        for (int j = 1;j < (n + 4);j += 5)
        {
            int t = 0,shit = 1;
            for (int k = j;k < min(n,j + 5);++k)
                t += (D[k] - D[p[k]] + 1) * shit,shit *= 3;
            for (int j = 0;j < 8;++j)
                encode_bit((t >> j) & 1);
        }
    }
}
#include "bits/stdc++.h"
using namespace std;
#define fi first
#define se second
#define ll long long
#define dbg(v) cerr<<#v<<" = "<<v<<'\n'
#define vi vector<int>
#define vl vector <ll>
#define pii pair<int,int>
#define mp make_pair
#define db long double
#define pb push_back
#define all(s) s.begin(),s.end()
#include "grader.h"
void decode(int nv, int nh)
{
    int n = nv;
    int nn = nh;
    static int p[1 << 10];
    for (int i = 1;i < n;++i)
        for (int j = 0;j < 10;++j)
            p[i] += (1 << j) * decode_bit();
    for (int i = 0;i < nn;++i)
    {
        static vector < pii > g[1 << 10];
        for (int j = 0;j < n;++j)
            g[j].clear();
        static int d[1 << 10];
        for (int j = 0;j < n;++j)
            d[j] = -1e9;
        for (int j = 1;j < (n + 4);j += 5)
        {
            int t = 0;
            for (int k = 0;k < 8;++k)
                t += (1 << k) * decode_bit();
            for (int k = j;k < min(j + 5,n);++k)
            {
                g[k].pb(mp(p[k],1 - (t % 3)));
                g[p[k]].pb(mp(k,(t % 3) - 1));
                t /= 3;
            }
        }
        queue < int > Q;
        Q.push(0);
        d[0] = 0;
        while (!Q.empty())
        {
            int node = Q.front();
            Q.pop();
            for (auto it : g[node])
                if (d[it.fi] == -1e9)
                    d[it.fi] = d[node] + it.se,Q.push(it.fi);
        }
        int mn = *min_element(d,d + n);
        for (int j = 0;j < n;++j)
            d[j] -= mn;
        for (int j = 0;j < n;++j)
            hops(i,j,d[j]);
    }
}
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