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 "game.h"
#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define pii pair<int, int>
#define ff first
#define ss second
vector<int> q[200100], dq[200100];
int n, k;
pii dp[200100];
int ok = 1;
void init(int N, int K) {
    n = N;
    k = K;
    ok = 1;
    for(int i=0; i<n; i++){
        q[i].clear();
        dq[i].clear();
    }
    for(int i=1; i<=k-1; i++){
        q[i].pb(i + 1);
        dq[i + 1].pb(i);
    }
    for(int i=1; i<=k; i++){
        dp[i] = {i, i};
    }
    for(int i=k+1; i<=n; i++){
        dp[i] = {0, n+1};
    }
}
void dfsmn(int v, pii x){
    if(x.ff < dp[v].ff){
        ok = 0;
        return;
    }
    int l=dp[v].ff, r=dp[v].ss;
    int mid=(l+r)/2;
    if(l <= x.ff and x.ss <= mid){
        dp[v] = x;
    }
    //if(dp[v].ff == dp[v].ss and v > k){
    //    ok = 0;
    //}
    for(int to: dq[v]){
        if(dp[to].ss > x.ss){
            dfsmn(to, x);
        }
    }
}
void dfsmx(int v, pii x){
    if(x.ss > dp[v].ss){
        ok = 0;
        return;
    }
    int l=dp[v].ff, r=dp[v].ss;
    int mid=(l+r)/2;
    if(mid + 1 <= x.ff and x.ss <= r){
        dp[v] = x;
    }
    //if(dp[v].ff == dp[v].ss and v >= k){
    //    ok = 0;
    //}
    for(int to: dq[v]){
        if(dp[to].ff < x.ff){
            dfsmn(to, x);
        }
    }
}
int add_teleporter(int u, int v) {
    u++;
    v++;
    //cout<<"____________________\n";
    //cout<<u<<' '<<v<<'\n';
    //if(u == v){
    //    if(u < k){
    //        return 1;
    //    }
    //    return 0;
    //}
    q[u].pb(v);
    dq[v].pb(u);
    dfsmn(v, dp[v]);
    dfsmx(u, dp[u]);
    //for(int i=1; i<=n; i++){
    //    cout<<dp[i].ff<<' '<<dp[i].ss<<'\n';
    //}
    return !ok;
}
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