#include <bits/stdc++.h>
#include "Azer.h"
using namespace std;
typedef pair <int, int> pii;
const int ID = 11;
const int DIST = 9;
namespace{
priority_queue <pii> Q;
vector <pii> G[2020];
vector <int> D;
bool chk[2020];
int v, c, t, _d;
int n, z, m;
bool turn() { return 1; }
void sendint(int x, int l)
{
x = min(x, (1 << l) - 1);
for(; l--; ){
SendA((x & (1 << l))? 1 : 0);
}
}
void check()
{
int p, d;
for(; !Q.empty(); Q.pop()){
tie(d, p) = Q.top(); d = -d;
if(!chk[p] && d == D[p]) break;
}
if(Q.empty()) return;
tie(d, p) = Q.top(); d = -d;
sendint(d - z, DIST);
}
void apply(int p, int d)
{
chk[p] = 1; D[p] = d; z = d;
for(pii &t: G[p]){
if(!chk[t.first] && D[t.first] > d + t.second){
D[t.first] = d + t.second;
Q.emplace(-d - t.second, t.first);
}
}
if(turn()){
m = 1; check();
}
else m = 2;
}
void check(int d1)
{
int p2, d2;
for(; !Q.empty(); Q.pop()){
tie(d2, p2) = Q.top(); d2 = -d2;
if(!chk[p2] && D[p2] == d2) break;
}
tie(d2, p2) = Q.top(); d2 = -d2;
if(d1 < d2){
SendA(0);
_d = d1, t = 1;
}
else{
SendA(1); Q.pop();
sendint(p2, ID);
sendint(d2 - z, DIST);
apply(p2, d2);
}
}
}
void InitA(int N, int A, vector <int> U, vector <int> V, vector<int> C)
{
n = N; D.resize(n, 0);
int i;
for(i=0; i<A; i++){
G[U[i]].emplace_back(V[i], C[i]);
G[V[i]].emplace_back(U[i], C[i]);
}
for(i=1; i<n; i++){
D[i] = 1e9;
}
for(i=0; i<n; i++){
Q.emplace(-D[i], i);
}
apply(0, 0);
}
void ReceiveA(bool x)
{
if(m == 1){
if(t == 0){
if(!x){
int d, p;
tie(d, p) = Q.top();
d = -d; Q.pop();
sendint(p, ID);
apply(p, d);
}
else t = 1;
}
else{
v = v << 1 | x; c ++;
if(c == ID + DIST){
int p = v >> DIST;
int d = z + (v & ((1 << DIST) - 1));
v = 0; c = 0; t = 0;
apply(p, d);
}
}
}
else{
if(t == 0){
v = v << 1 | x; c ++;
if(c == DIST){
int d = z + v;
v = 0; c = 0;
check(d);
}
}
else{
v = v << 1 | x; c ++;
if(c == ID){
int p = v, d = _d;
v = 0; c = 0; t = 0;
apply(p, d);
}
}
}
}
vector <int> Answer() { return D; }
#include <bits/stdc++.h>
#include "Baijan.h"
using namespace std;
typedef pair <int, int> pii;
const int ID = 11;
const int DIST = 9;
namespace{
priority_queue <pii> Q;
vector <pii> G[2020];
vector <int> D;
bool chk[2020];
int v, c, t, _d;
int n, z, m;
bool turn() { return 1; }
void sendint(int x, int l)
{
x = min(x, (1 << l) - 1);
for(; l--; ){
SendB((x & (1 << l))? 1 : 0);
}
}
void check()
{
int p, d;
for(; !Q.empty(); Q.pop()){
tie(d, p) = Q.top(); d = -d;
if(!chk[p] && d == D[p]) break;
}
if(Q.empty()) return;
tie(d, p) = Q.top(); d = -d;
sendint(d - z, DIST);
}
void apply(int p, int d)
{
chk[p] = 1; D[p] = d; z = d;
for(pii &t: G[p]){
if(!chk[t.first] && D[t.first] > d + t.second){
D[t.first] = d + t.second;
Q.emplace(-d - t.second, t.first);
}
}
if(!turn()){
m = 1; check();
}
else m = 2;
}
void check(int d1)
{
int p2, d2;
for(; !Q.empty(); Q.pop()){
tie(d2, p2) = Q.top(); d2 = -d2;
if(!chk[p2] && D[p2] == d2) break;
}
tie(d2, p2) = Q.top(); d2 = -d2;
if(d1 < d2){
SendB(0);
_d = d1, t = 1;
}
else{
SendB(1); Q.pop();
sendint(p2, ID);
sendint(d2 - z, DIST);
apply(p2, d2);
}
}
}
void InitB(int N, int B, vector <int> S, vector<int> T, vector<int> C)
{
n = N; D.resize(n, 0);
int i;
for(i=0; i<B; i++){
G[S[i]].emplace_back(T[i], C[i]);
G[T[i]].emplace_back(S[i], C[i]);
}
for(i=1; i<n; i++){
D[i] = 1e9;
}
for(i=0; i<n; i++){
Q.emplace(-D[i], i);
}
apply(0, 0);
}
void ReceiveB(bool x)
{
if(m == 1){
if(t == 0){
if(!x){
int d, p;
tie(d, p) = Q.top();
d = -d; Q.pop();
sendint(p, ID);
apply(p, d);
}
else t = 1;
}
else{
v = v << 1 | x; c ++;
if(c == ID + DIST){
int p = v >> DIST;
int d = z + (v & ((1 << DIST) - 1));
v = 0; c = 0; t = 0;
apply(p, d);
}
}
}
else{
if(t == 0){
v = v << 1 | x; c ++;
if(c == DIST){
int d = z + v;
v = 0; c = 0;
check(d);
}
}
else{
v = v << 1 | x; c ++;
if(c == ID){
int p = v, d = _d;
v = 0; c = 0; t = 0;
apply(p, d);
}
}
}
}
