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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
/*
read some comments about the solution long back, dont really remember much from there (except that we had to somehow encode the bits of each node)
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
#include "Alicelib.h"
void Alice( int n, int m, int A[], int B[] ){
// InitG( 4, 3 );
// MakeG( 0, 1, 2 );
// MakeG( 1, 1, 3 );
// MakeG( 2, 2, 3 );
vector<pii> edges;
vector<int> deg(n+15);
auto add_edge = [&](int u, int v){
edges.pb({u,v});
deg[u]++, deg[v]++;
};
rep(i,m){
add_edge(A[i],B[i]);
}
rep(i,n){
rep(bit,10){
if((i+1)&(1<<bit)){
add_edge(i,n+bit);
}
}
}
rep(i,n){
add_edge(i,n+10);
}
add_edge(n+10,n+11);
add_edge(n+11,n);
rep(bit,9){
add_edge(n+bit,n+bit+1);
}
rep(i,n){
if(deg[i] == n+1){
add_edge(i,n+12);
}
else if(deg[i] == 2){
add_edge(i,n+12);
}
}
if(n != 1){
assert(count(all(deg),n+1) == 1);
}
InitG(n+13,sz(edges));
// rep(i,n+13){
// cout << deg[i] << " ";
// }
// cout << endl;
rep(i,sz(edges)){
MakeG(i,edges[i].ff,edges[i].ss);
}
}
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
/*
read some comments about the solution long back, dont really remember much from there (except that we had to somehow encode the bits of each node)
*/
const int MOD = 1e9 + 7;
const int N = 2e3 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
#include "Boblib.h"
vector<int> adj[N];
void Bob( int n, int m, int C[], int D[] ){
// InitMap( 4, 3 );
// MakeMap( 0, 1 );
// MakeMap( 0, 2 );
// MakeMap( 0, 3 );
int on = n-13;
if(on == 1){
InitMap(1,0);
return;
}
vector<int> deg(n);
rep(i,m){
int u = C[i], v = D[i];
deg[u]++, deg[v]++;
adj[u].pb(v), adj[v].pb(u);
}
bool found = false;
vector<bool> bad(n);
vector<int> bits;
rep(i,n){
if(deg[i] == on+1){
assert(!found);
found = true;
bad[i] = 1;
int curr = -1;
trav(j,adj[i]){
if(deg[j] != 2){
bad[j] = 1;
}
else{
assert(curr == -1);
curr = j;
}
}
while(true){
bits.pb(curr);
int nxt = -1;
trav(j,adj[curr]){
if(bad[j]) conts;
assert(nxt == -1);
nxt = j;
}
if(nxt == -1) break;
bad[curr] = 1;
curr = nxt;
}
}
}
vector<bool> is_bit(n);
trav(i,bits) is_bit[i] = 1;
bits.erase(bits.begin());
assert(sz(bits) == 10);
// trav(i,bits){
// cout << deg[i] << endl;
// }
vector<int> id(n);
rep(i,sz(bits)){
int u = bits[i];
trav(v,adj[u]){
if(is_bit[v]) conts;
id[v] |= (1<<i);
}
}
vector<pii> edges;
rep(i,m){
int u = C[i], v = D[i];
if(id[u] and id[v]){
edges.pb({id[u],id[v]});
}
}
InitMap(on,sz(edges));
for(auto [u,v] : edges){
u--, v--;
MakeMap(u,v);
}
}
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