#include "migrations.h"
#include "bits/stdc++.h"
using namespace std;
vector<vector<int>> adj123;
vector<int> pow5123;
int c1123, c2123;
int d123, d223;
#define upd123 {adj123[i].push_back(Pi); adj123[Pi].push_back(i);}
#define P123(k123, l123) (u == k123 && v == l123)
#define Q123(k123, l123) ((d123 == k123 && d223 == l123) || (d123 == l123 && d223 == k123))
const int p123 = 9994, q123 = 9995, r123 = 9996;
const int a123 = 9997, b123 = 9998, c123 = 9999;
int A123, B123, C123;
void dfs123(int cur, int par, vector<vector<int>>& adj123, vector<int>& depth, int dep){
depth[cur] = dep;
for (auto &e: adj123[cur]) if (e != par) dfs123(e, cur, adj123, depth, dep + 1);
}
pair<int, int> diameter123(){
vector<int> depth(10000, 0), depth2(10000, 0);
dfs123(0, -1, adj123, depth, 0);
int max_depth = 0, end1, end2;
for (int i = 0; i < 10000; i++)
if (depth[i] > max_depth)
max_depth = depth[i], end1 = i;
max_depth = 0;
dfs123(end1, -1, adj123, depth2, 0);
for (int i = 0; i < 10000; i++)
if (depth2[i] > max_depth)
max_depth = depth2[i], end2 = i;
if (end1 > end2) swap(end1, end2);
return {end1, end2};
}
vector<int> encode123(int x, int len){
vector<int> v(len);
int num = x;
for (int i = len - 1; i >= 0; i--){
int d = num/pow5123[i];
v[i] = d;
num -= d * pow5123[i];
}
return v;
}
int decode123(vector<int> x){
int len = x.size();
int ans = 0;
for (int i = len - 1; i >= 0; i--){
int d = x[i];
ans += d * pow5123[i];
}
return ans;
}
vector<pair<int, int>> m123;
int encode12(int a, int b){
for (int i = 0; i < 66; i++)
if (m123[i].first == a && m123[i].second == b)
return i;
}
pair<int, int> decode12(int x){
return m123[x];
}
void pre123(){
pow5123.resize(12, 1);
for (int i = 1; i < 12; i++) pow5123[i] = pow5123[i-1] * 5;
c1123 = -1, c2123 = -1;
d123 = -1, d223 = -1;
for (int i = 0; i < 11; i++){
for (int j = i + 1; j < 12; j++){
m123.push_back({i, j});
}
}
adj123.resize(10000, vector<int>());
}
void one123(int x, int y){
if (d123 == x && d223 == y) C123 = 0;
else if (d123 == x) C123 = 1;
else C123 = 2;
}
void rone123(int x, int y){
if (C123 == 0) d123 = x, d223 = y;
else if (C123 == 1) d123 = x, d223 = c123;
else d123 = y, d223 = c123;
}
void two123(int x, int y, int v){
if (d223 != c123){
if (Q123(x,v)) C123 = 0;
if (Q123(y,v)) C123 = 1;
} else {
if (d123 == x) C123 = 2;
if (d123 == y) C123 = 3;
if (d123 == v) C123 = 4;
}
}
void rtwo123(int x, int y, int v){
if (C123 == 0) d123 = min(x, v), d223 = max(x, v);
if (C123 == 1) d123 = min(y, v), d223 = max(y, v);
if (C123 == 2) d123 = x, d223 = c123;
if (C123 == 3) d123 = y, d223 = c123;
if (C123 == 4) d123 = v, d223 = c123;
}
int send_message(int N, int i, int Pi) {
if (i == 1) pre123();
if (i <= 9981){
upd123;
return 0;
}
if (i <= 9993){
if (c1123 == -1){
auto [u, v] = diameter123();
c1123 = u, c2123 = v;
}
upd123;
int V = 9999*c1123 + c2123;
vector<int> enc = encode123(V, 12);
return enc[i - 9982];
}
if (i <= 9996){
if (d123 == -1){
auto [u, v] = diameter123();
d123 = u, d223 = v;
}
upd123;
int V;
if (c1123 == d123 && c2123 == d223) V = 124;
else if (c1123 == d123) V = 70 + d223 - 9982;
else if (d123 == c2123) V = 90 + d223 - 9982;
else V = encode12(d123, d223);
vector<int> enc = encode123(V, 3);
if (i == 9996) c1123 = d123, c2123 = d223;
return enc[i - 9994];
}
if (i == a123) {
upd123;
auto [u, v] = diameter123();
if (P123(c1123, c2123) || P123(c1123, p123) || P123(c1123, q123)) A123 = 0;
if (P123(c1123, r123) || P123(c1123, a123) || P123(c2123, p123)) A123 = 1;
if (P123(c2123, q123) || P123(c2123, r123) || P123(c2123, a123)) A123 = 2;
if (P123(p123, q123) || P123(p123, r123) || P123(p123, a123)) A123 = 3;
if (P123(q123, r123) || P123(q123, a123) || P123(r123, a123)) A123 = 4;
return A123;
}
if (i == b123) {
upd123;
auto [u, v] = diameter123();
if (A123 == 0){
if (P123(c1123, c2123)) B123 = 0;
if (P123(c1123, p123)) B123 = 1;
if (P123(c1123, q123)) B123 = 2;
if (P123(c1123, b123) || P123(c2123, b123)) B123 = 3;
if (P123(p123, b123) || P123(q123, b123)) B123 = 4;}
if (A123 == 1){
if (P123(c1123, r123)) B123 = 0;
if (P123(c1123, a123) || P123(c1123, b123)) B123 = 1;
if (P123(c2123, p123)) B123 = 2;
if (P123(c2123, b123) || P123(r123, b123)) B123 = 3;
if (P123(p123, b123) || P123(a123, b123)) B123 = 4;}
if (A123 == 2){
if (P123(c2123, q123)) B123 = 0;
if (P123(c2123, r123)) B123 = 1;
if (P123(c2123, a123)) B123 = 2;
if (P123(c2123, b123) || P123(q123, b123)) B123 = 3;
if (P123(r123, b123) || P123(a123, b123)) B123 = 4;}
if (A123 == 3){
if (P123(p123, q123)) B123 = 0;
if (P123(p123, r123)) B123 = 1;
if (P123(p123, a123)) B123 = 2;
if (P123(p123, b123) || P123(q123, b123)) B123 = 3;
if (P123(r123, b123) || P123(a123, b123)) B123 = 4;}
if (A123 == 4){
if (P123(q123, r123)) B123 = 0;
if (P123(q123, a123)) B123 = 1;
if (P123(r123, a123)) B123 = 2;
if (P123(q123, b123)) B123 = 3;
if (P123(r123, b123) || P123(a123, b123)) B123 = 4;}
d123 = u, d223 = v;
return B123;
}
upd123;
int u = d123, v = d223;
tie(d123, d223) = diameter123();
if (A123 == 0){
if (P123(c1123, c2123)) one123(c1123, c2123);
if (P123(c1123, p123)) one123(c1123, p123);
if (P123(c1123, q123)) one123(c1123, q123);
if (P123(c1123, b123) || P123(c2123, b123)) two123(c1123, c2123, b123);
if (P123(p123, b123) || P123(q123, b123)) two123(p123, q123, b123);}
if (A123 == 1){
if (P123(c1123, r123)) one123(c1123, r123);
if (P123(c1123, a123) || P123(c1123, b123)) two123(a123, b123, c1123);
if (P123(c2123, p123)) one123(c2123, p123);
if (P123(c2123, b123) || P123(r123, b123)) two123(c2123, r123, b123);
if (P123(p123, b123) || P123(a123, b123)) two123(p123, a123, b123);}
if (A123 == 2){
if (P123(c2123, q123)) one123(c2123, q123);
if (P123(c2123, r123)) one123(c2123, r123);
if (P123(c2123, a123)) one123(c2123, a123);
if (P123(c2123, b123) || P123(q123, b123)) two123(c2123, q123, b123);
if (P123(r123, b123) || P123(a123, b123)) two123(r123, a123, b123);}
if (A123 == 3){
if (P123(p123, q123)) one123(p123, q123);
if (P123(p123, r123)) one123(p123, r123);
if (P123(p123, a123)) one123(p123, a123);
if (P123(p123, b123) || P123(q123, b123)) two123(p123, q123, b123);
if (P123(r123, b123) || P123(a123, b123)) two123(r123, a123, b123);}
if (A123 == 4){
if (P123(q123, r123)) one123(q123, r123);
if (P123(q123, a123)) one123(q123, a123);
if (P123(r123, a123)) one123(r123, a123);
if (P123(q123, b123)) one123(q123, b123);
if (P123(r123, b123) || P123(a123, b123)) two123(r123, a123, b123);}
return C123;
}
pair<int, int> longest_path(vector<int> S) {
vector<int> part1(12);
for (int i = 9982; i <= 9993; i++) part1[i - 9982] = S[i];
int V = decode123(part1);
int c1123 = (V - V%c123)/c123, c2123 = V%c123;
vector<int> part2(3);
for (int i = p123; i <= r123; i++) part2[i - p123] = S[i];
V = decode123(part2);
if (V <= 67){
auto [u, v] = decode12(V);
c1123 = u + 9982, c2123 = v + 9982;
} else if (V < 90) {
c2123 = V + 9982 - 70;
} else if (V < 120){
c1123 = V + 9982 - 90;
swap(c1123, c2123);
}
A123 = S[a123], B123 = S[b123], C123 = S[c123];
if (A123 == 0){
if (B123 == 0) rone123(c1123, c2123);
if (B123 == 1) rone123(c1123, p123);
if (B123 == 2) rone123(c1123, q123);
if (B123 == 3) rtwo123(c1123, c2123, b123);
if (B123 == 4) rtwo123(p123, q123, b123);}
if (A123 == 1){
if (B123 == 0) rone123(c1123, r123);
if (B123 == 1) rtwo123(a123, b123, c1123);
if (B123 == 2) rone123(c2123, p123);
if (B123 == 3) rtwo123(c2123, r123, b123);
if (B123 == 4) rtwo123(p123, a123, b123);}
if (A123 == 2){
if (B123 == 0) rone123(c2123, q123);
if (B123 == 1) rone123(c2123, r123);
if (B123 == 2) rone123(c2123, a123);
if (B123 == 3) rtwo123(c2123, q123, b123);
if (B123 == 4) rtwo123(r123, a123, b123);}
if (A123 == 3){
if (B123 == 0) rone123(p123, q123);
if (B123 == 1) rone123(p123, r123);
if (B123 == 2) rone123(p123, a123);
if (B123 == 3) rtwo123(p123, q123, b123);
if (B123 == 4) rtwo123(r123, a123, b123);}
if (A123 == 4){
if (B123 == 0) rone123(q123, r123);
if (B123 == 1) rone123(q123, a123);
if (B123 == 2) rone123(r123, a123);
if (B123 == 3) rone123(q123, b123);
if (B123 == 4) rtwo123(r123, a123, b123);}
return {d123, d223};
}
