This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define DEBUG 0
#include <bits/stdc++.h>
using namespace std;
#if DEBUG
// basic debugging macros
int __i__,__j__;
#define printLine(l) for(__i__=0;__i__<l;__i__++){cout<<"-";}cout<<endl
#define printLine2(l,c) for(__i__=0;__i__<l;__i__++){cout<<c;}cout<<endl
#define printVar(n) cout<<#n<<": "<<n<<endl
#define printArr(a,l) cout<<#a<<": ";for(__i__=0;__i__<l;__i__++){cout<<a[__i__]<<" ";}cout<<endl
#define print2dArr(a,r,c) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<a[__i__][__j__]<<" ";}cout<<endl;}
#define print2dArr2(a,r,c,l) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<setw(l)<<setfill(' ')<<a[__i__][__j__]<<" ";}cout<<endl;}
// advanced debugging class
// debug 1,2,'A',"test";
class _Debug {
    public:
        template<typename T>
        _Debug& operator,(T val) {
            cout << val << endl;
            return *this;
        }
};
#define debug _Debug(),
#else
#define printLine(l)
#define printLine2(l,c)
#define printVar(n)
#define printArr(a,l)
#define print2dArr(a,r,c)
#define print2dArr2(a,r,c,l)
#define debug
#endif
// define
#define MAX_VAL 999999999
#define MAX_VAL_2 999999999999999999LL
#define EPS 1e-6
#define mp make_pair
#define pb push_back
// typedef
typedef unsigned int UI;
typedef long long int LLI;
typedef unsigned long long int ULLI;
typedef unsigned short int US;
typedef pair<int,int> pii;
typedef pair<LLI,LLI> plli;
typedef vector<int> vi;
typedef vector<LLI> vlli;
typedef vector<pii> vpii;
typedef vector<plli> vplli;
// ---------- END OF TEMPLATE ----------
#include "Joi.h"
static int parent[10000];
static int find(int n) {
    if (parent[n] != n) parent[n] = find(parent[n]);
    return parent[n];
}
static vi adjList[10000];
static int key[10000],nxt[10000],heavy[10000];
static int visited[10000];
static queue<int> Q;
static int doDFS(int u,int p) {
    int i;
    int m = 1,mv = -1;
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if (v != p) {
            int r = doDFS(v,u);
            if (r+1 > m) m = r+1,mv = v;
        }
    }
    nxt[u] = mv;
    if (m == 60) {
        key[u] = 1;
        return 0;
    }
    else return m;
}
static int num = 0;
static int message[10000];
static int doDFS2(int u,int p,LLI X) {
    int i;
    if (num < 60) {
        MessageBoard(u,((X & (1LL << num)) > 0));
        message[u] = 1;
    }
    num++;
    if (heavy[u] != -1) doDFS2(heavy[u],u,X);
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if ((v != p) && (v != heavy[u])) doDFS2(v,u,X);
    }
    return 0;
}
void Joi(int N,int M,int A[],int B[],long long int X,int T) {
    int i;
    for (i = 0; i < N; i++) parent[i] = i;
    for (i = 0; i < M; i++) {
        int pa = find(A[i]),pb = find(B[i]);
        if (pa != pb) {
            parent[pa] = pb;
            adjList[A[i]].pb(B[i]);
            adjList[B[i]].pb(A[i]);
        }
    }
    int e = 0,e2 = 0;
    Q.push(0);
    while (!Q.empty()) {
        int u = Q.front();
        Q.pop();
        e = u;
        for (i = 0; i < adjList[u].size(); i++) {
            int v = adjList[u][i];
            if (!visited[v]) {
                visited[v] = 1;
                Q.push(v);
            }
        }
    }
    fill(parent,parent+N,-1);
    fill(visited,visited+N,0);
    Q.push(e);
    while (!Q.empty()) {
        int u = Q.front();
        Q.pop();
        e2 = u;
        for (i = 0; i < adjList[u].size(); i++) {
            int v = adjList[u][i];
            if (!visited[v]) {
                visited[v] = 1;
                parent[v] = u;
                Q.push(v);
            }
        }
    }
    fill(heavy,heavy+N,-1);
    while (e2 != e) heavy[parent[e2]] = e2,e2 = parent[e2];
    int j,f = 0;
    doDFS(e,-1);
    for (i = 0; i < N; i++) {
        if (key[i]) {
            int u = i;
            for (j = 0; j < 60; j++) {
                MessageBoard(u,((X & (1LL << j)) > 0));
                message[u] = 1;
                u = nxt[u];
            }
            f = 1;
        }
    }
    if (!f) doDFS2(e,-1,X);
    for (i = 0; i < N; i++) {
        if (!message[i]) MessageBoard(i,0);
    }
}
#define DEBUG 0
#include <bits/stdc++.h>
using namespace std;
#if DEBUG
// basic debugging macros
int __i__,__j__;
#define printLine(l) for(__i__=0;__i__<l;__i__++){cout<<"-";}cout<<endl
#define printLine2(l,c) for(__i__=0;__i__<l;__i__++){cout<<c;}cout<<endl
#define printVar(n) cout<<#n<<": "<<n<<endl
#define printArr(a,l) cout<<#a<<": ";for(__i__=0;__i__<l;__i__++){cout<<a[__i__]<<" ";}cout<<endl
#define print2dArr(a,r,c) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<a[__i__][__j__]<<" ";}cout<<endl;}
#define print2dArr2(a,r,c,l) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<setw(l)<<setfill(' ')<<a[__i__][__j__]<<" ";}cout<<endl;}
// advanced debugging class
// debug 1,2,'A',"test";
class _Debug {
    public:
        template<typename T>
        _Debug& operator,(T val) {
            cout << val << endl;
            return *this;
        }
};
#define debug _Debug(),
#else
#define printLine(l)
#define printLine2(l,c)
#define printVar(n)
#define printArr(a,l)
#define print2dArr(a,r,c)
#define print2dArr2(a,r,c,l)
#define debug
#endif
// define
#define MAX_VAL 999999999
#define MAX_VAL_2 999999999999999999LL
#define EPS 1e-6
#define mp make_pair
#define pb push_back
// typedef
typedef unsigned int UI;
typedef long long int LLI;
typedef unsigned long long int ULLI;
typedef unsigned short int US;
typedef pair<int,int> pii;
typedef pair<LLI,LLI> plli;
typedef vector<int> vi;
typedef vector<LLI> vlli;
typedef vector<pii> vpii;
typedef vector<plli> vplli;
// ---------- END OF TEMPLATE ----------
#include "Ioi.h"
static int parent[10000];
static int find(int n) {
    if (parent[n] != n) parent[n] = find(parent[n]);
    return parent[n];
}
static vi adjList[10000];
static int key[10000],nxt[10000],heavy[10000];
static int visited[10000];
static queue<int> Q;
static int doDFS(int u,int p) {
    int i;
    int m = 1,mv = -1;
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if (v != p) {
            int r = doDFS(v,u);
            if (r+1 > m) m = r+1,mv = v;
        }
    }
    nxt[u] = mv;
    if (m == 60) {
        key[u] = 1;
        return 0;
    }
    else return m;
}
static int num = 0;
static int sub[10000];
static int doDFS2(int u,int p) {
    int i;
    if (num < 60) sub[u] = num;
    num++;
    if (heavy[u] != -1) doDFS2(heavy[u],u);
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if ((v != p) && (v != heavy[u])) doDFS2(v,u);
    }
    return 0;
}
static int message[10000];
static int moveto(int s,int e,int N) {
    int i,u;
    fill(parent,parent+N,-1);
    Q.push(s);
    while (!Q.empty()) {
        u = Q.front();
        Q.pop();
        if (key[u]) break;
        for (i = 0; i < adjList[u].size(); i++) {
            int v = adjList[u][i];
            if ((v != s) && (parent[v] == -1)) {
                parent[v] = u;
                Q.push(v);
            }
        }
    }
    while (!Q.empty()) Q.pop();
    if (!key[u]) {
        u = e;
        vi path;
        while (u != -1) path.pb(u),u = parent[u];
        if (sub[path.back()] != -1) return path.back();
        for (i = (int) path.size()-2; i >= 0; i--) {
            message[path[i]] = Move(path[i]);
            if (sub[path[i]] != -1) return path[i];
        }
    }
    vi path;
    while (u != -1) path.pb(u),u = parent[u];
    for (i = (int) path.size()-2; i >= 0; i--) message[path[i]] = Move(path[i]);
    return path[0];
}
static LLI ans = 0;
static int path[10000];
static int doDFS3(int u,int e,int p) {
    int i;
    path[u] = 1;
    if (u == e) return 1;
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if (v != p) {
            if (doDFS3(v,e,u)) return 1;
        }
    }
    path[u] = 0;
    return 0;
}
static int doDFS4(int u,int p) {
    int i;
    if (message[u]) ans |= (1LL << sub[u]);
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if ((v != p) && !path[v] && (sub[v] != -1)) {
            message[v] = Move(v);
            doDFS4(v,u);
            Move(u);
        }
    }
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i];
        if ((v != p) && path[v] && (sub[v] != -1)) {
            message[v] = Move(v);
            doDFS4(v,u);
        }
    }
    return 0;
}
long long int Ioi(int N,int M,int A[],int B[],int P,int V,int T) {
    int i;
    for (i = 0; i < N; i++) parent[i] = i;
    for (i = 0; i < M; i++) {
        int pa = find(A[i]),pb = find(B[i]);
        if (pa != pb) {
            parent[pa] = pb;
            adjList[A[i]].pb(B[i]);
            adjList[B[i]].pb(A[i]);
        }
    }
    int e = 0,e2 = 0;
    Q.push(0);
    while (!Q.empty()) {
        int u = Q.front();
        Q.pop();
        e = u;
        for (i = 0; i < adjList[u].size(); i++) {
            int v = adjList[u][i];
            if (!visited[v]) {
                visited[v] = 1;
                Q.push(v);
            }
        }
    }
    fill(parent,parent+N,-1);
    fill(visited,visited+N,0);
    Q.push(e);
    while (!Q.empty()) {
        int u = Q.front();
        Q.pop();
        e2 = u;
        for (i = 0; i < adjList[u].size(); i++) {
            int v = adjList[u][i];
            if (!visited[v]) {
                visited[v] = 1;
                parent[v] = u;
                Q.push(v);
            }
        }
    }
    fill(heavy,heavy+N,-1);
    while (e2 != e) heavy[parent[e2]] = e2,e2 = parent[e2];
    fill(sub,sub+N,-1);
    doDFS(e,-1),doDFS2(e,-1);
    fill(message,message+N,-1);
    message[P] = V;
    int d = moveto(P,e,N);
    if (key[d]) {
        LLI X = 0;
        int u = d;
        for (i = 0; i < 60; i++) {
            if (message[u]) X |= (1LL << i);
            u = nxt[u];
            if (i < 59) message[u] = Move(u);
        }
        return X;
    }
    else {
        doDFS3(d,e,-1),doDFS4(d,-1);
        return ans;
    }
}
Compilation message (stderr)
Joi.cpp: In function 'int doDFS(int, int)':
Joi.cpp:71:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
Joi.cpp: In function 'int doDFS2(int, int, LLI)':
Joi.cpp:95:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
Joi.cpp: In function 'void Joi(int, int, int*, int*, long long int, int)':
Joi.cpp:119:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (i = 0; i < adjList[u].size(); i++) {
                     ~~^~~~~~~~~~~~~~~~~~~
Joi.cpp:135:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (i = 0; i < adjList[u].size(); i++) {
                     ~~^~~~~~~~~~~~~~~~~~~
Ioi.cpp: In function 'int doDFS(int, int)':
Ioi.cpp:71:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
Ioi.cpp: In function 'int doDFS2(int, int)':
Ioi.cpp:92:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
Ioi.cpp: In function 'int moveto(int, int, int)':
Ioi.cpp:108:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (i = 0; i < adjList[u].size(); i++) {
                     ~~^~~~~~~~~~~~~~~~~~~
Ioi.cpp: In function 'int doDFS3(int, int, int)':
Ioi.cpp:138:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
Ioi.cpp: In function 'int doDFS4(int, int)':
Ioi.cpp:150:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
Ioi.cpp:158:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
Ioi.cpp: In function 'long long int Ioi(int, int, int*, int*, int, int, int)':
Ioi.cpp:185:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (i = 0; i < adjList[u].size(); i++) {
                     ~~^~~~~~~~~~~~~~~~~~~
Ioi.cpp:201:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (i = 0; i < adjList[u].size(); i++) {
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