using System;
using System.Collections.Generic;
using System.Collections;
using System.Collections.Specialized;
using System.Linq;
using System.Text;
using System.IO;
using System.Reflection;
using static System.Math;
using System.Numerics;
using System.Threading;
using System.Runtime.CompilerServices;
using System.Diagnostics;
static class Program{
	const int mod=(int)1e9+7;
	const long inf=long.MaxValue>>1;
	static List<int>[] li;
	static void Main(){
		Sc sc=new Sc();
		var n=sc.I;
		int m=(n+1)<<1;
		li=new List<int>[m];
		for(int i=1;i<m;i++){li[i]=new List<int>();}
		var h=new int[n+2][];
		h[0]=new int[]{-mod,-mod,-mod};
		h[n+1]=new int[]{mod,mod,mod};
		for(int i = 1;i<=n;i++) {h[i]=sc.Ia3(i);}
		var stg=new Stg(1,n,n+1,(v1,v2)=>{
			li[v2].Add(v1);
		});
		Array.Sort(h,(u,v)=>u[0]-v[0]);
		for(int i = 1;i<=n;i++) {
			int lb = -1, ub = n+1, mid = 0;
			while(lb+1!=ub) {
				mid=(ub+lb)/2;
				if(h[mid][0]>h[i][1]-h[i][2]) { ub=mid; }
				else { lb=mid; }
			}
			if(lb<i&&lb>=1){
				stg.Get(1,lb,v=>{li[v].Add(i);});
			}
			else if(lb>=1){
				if(1<=i-1){stg.Get(1,i-1,v=>{li[v].Add(i);});}
				if(i+1<=lb){stg.Get(i+1,lb,v=>{li[v].Add(i);});}
			}
		}
		var scc=new Scc(li);
		var dp=new long[scc.li.Length];
		var ans=new long[n+1];
		for(int i=1;i<scc.li.Length;i++){
			if(scc.da[i].Length>1){dp[i]=inf;}
			else if(scc.da[i][0]<=n){dp[i]+=h[scc.da[i][0]][1];}
			for(int j = 0;j<scc.li[i].Count;j++) {dp[scc.li[i][j]]=Max(dp[scc.li[i][j]],dp[i]);}
			for(int j = 0;j<scc.da[i].Length;j++) {
				if(scc.da[i][j]<=n){ans[h[scc.da[i][j]][3]]=dp[i];}
			}
		}
		StringBuilder sb=new StringBuilder();
		for(int i = 1;i<=n;i++) {sb.Append((ans[i]>=inf?"BAN":ans[i].ToString())+"\n");}
		Console.Write(sb);
	}
}
public class Scc{
	private const int o=1;
	public List<int>[] li;
	public int[][] da;
	public int[] h;
	public readonly int m;
	public Scc(List<int>[] lim){
		int n=lim.Length,p=1;
		var b=new bool[n];
		var b2=new bool[n];
		var b3=new bool[n];
		var low=new int[n];
		h=new int[n];
		var sk=new Stack<int>();
		var lid=new List<List<int>>();
		for(int i = o;i<n;i++) {if(!b[i]){Fud(i);}}
		void Fud(int a){
			b[a]=true;
			low[a]=p++;
			sk.Push(a);
			for(int i=0;i<lim[a].Count;i++){
				if(b2[lim[a][i]]){continue;}
				if(!b[lim[a][i]]){Fud(lim[a][i]);}
				if(low[a]>low[lim[a][i]]){
					low[a]=low[lim[a][i]];
					b3[a]=true;
				}
			}
			if(b3[a]){return;}
			int v=-1;
			lid.Add(new List<int>());
			while(v!=a){
				v=sk.Pop();
				lid[lid.Count-1].Add(v);
				b2[v]=true;
				h[v]=lid.Count-1;
			}
		}
		m=lid.Count+o;
		li=new List<int>[m];
		da=new int[m][];
		for(int i = o;i<m;i++) {li[i]=new List<int>();}
		for(int i = o;i<n;i++) {h[i]=lid.Count-h[i]-1+o;}
		for(int i = lid.Count-1;i>=0;i--) {
			int e=m-i-1;
			da[e]=lid[i].ToArray();
			for(int j = 0;j<da[e].Length;j++) {
				for(int k = 0;k<lim[da[e][j]].Count;k++) {
					if(h[lim[da[e][j]][k]]!=e){li[e].Add(h[lim[da[e][j]][k]]);}
				}
			}
		}
		for(int i = o;i<m;i++) {li[i]=li[i].Distinct().ToList();}
		m-=o;
	}
}
public class Stg{
	private int[] h;
	private int n,lm;
	public int m;
	public Stg(int l,int r,int a,Action<int,int> f){
		lm=l;
		n=r-l+1;
		var cnt=n<<1;
		h=new int[cnt];
		h[0]=a-1;
		for(int i = 1;i<cnt;i++) {h[i]=i+n>=cnt?l+i-n:(a+i-1);}
		for(int i = 1;i<cnt-n;i++) {
			f(h[i],h[i<<1]);
			f(h[i],h[(i<<1)+1]);
		}
		m=h[cnt-n-1];
	}
	public void Get(int l,int r,Action<int> f){
		l+=n-lm;r+=n-lm;
		while(l<=r){
			if((l&1)==1){
				f(h[l]);
				l++;
			}
			if((r&1)==0){
				f(h[r]);
				r--;
			}
			l>>=1;r>>=1;
		}
	}
}
public class Sc{
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected virtual string Rl(){return Console.ReadLine();}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected virtual string[] Sp(string st){return st.Split();}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	private T Ct<T>(string s){return (T)Convert.ChangeType(s,typeof(T));}
	public virtual int I{get{return int.Parse(Rl());}}
	public virtual long L{get{return long.Parse(Rl());}}
	public virtual double D{get{return double.Parse(Rl());}}
	public virtual string S{get{return Rl();}}
	public int[] Ia{get{return Array.ConvertAll(Sp(Rl()),int.Parse);}}
	public long[] La{get{return Array.ConvertAll(Sp(Rl()),long.Parse);}}
	public double[] Da{get{return Array.ConvertAll(Sp(Rl()),double.Parse);}}
	public string[] Sa{get{return Sp(Rl());}}
	public object[] Oa{get{return Sp(Rl());}}
	public int[] Ia2{get{return Array.ConvertAll(Sp("0 "+Rl()+" 0"),int.Parse);}}
	public int[] Ia3(string a,string b){return Array.ConvertAll(Sp(a+Rl()+b),int.Parse);}
	public int[] Ia3(int a){return Array.ConvertAll(Sp(Rl()+" "+a.ToString()),int.Parse);}
	public long[] La2{get{return Array.ConvertAll(Sp("0 "+Rl()+" 0"),long.Parse);}}
	public long[] La3(string a,string b){return Array.ConvertAll(Sp(a+Rl()+b),long.Parse);}
	public long[] La3(int a){return Array.ConvertAll(Sp(Rl()+" "+a.ToString()),long.Parse);}
	public double[] Da2{get{return Array.ConvertAll(Sp("0 "+Rl()+" 0"),double.Parse);}}
	public double[] Da3(string a,string b){return Array.ConvertAll(Sp(a+Rl()+b),double.Parse);}
	public T[] Arr<T>(int n,Func<T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f();}return a;}
	public T[] Arr<T>(int n,Func<int,T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i);}return a;}
	public T[] Arr<T>(int n,Func<string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(Sp(Rl()));}return a;}
	public T[] Arr<T>(int n,Func<int,string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i,Sp(Rl()));}return a;}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T) Tp2<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T,T) Tp3<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T,T,T) Tp4<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]),Ct<T>(s[3]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T,T,T,T) Tp5<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]),Ct<T>(s[3]),Ct<T>(s[4]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T,T,T,T,T,T) Tp6<T>(){var s=Sp(Rl());return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]),Ct<T>(s[3]),Ct<T>(s[4]),Ct<T>(s[5]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T1,T2) Tp2<T1,T2>(){var s=Sp(Rl());return (Ct<T1>(s[0]),Ct<T2>(s[1]));}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	public (T1,T1,T2) Tp3<T1,T2>(){var s=Sp(Rl());return (Ct<T1>(s[0]),Ct<T1>(s[1]),Ct<T2>(s[2]));}
}
public class Scs:Sc{
	private StreamReader sr;
	public Scs(string t){sr=new StreamReader(t);}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected override string Rl(){return sr.ReadLine();}
}
public class Sc2:Sc{
	private string[] sps=new string[]{" ","　","\t"};
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected override string[] Sp(string st){return st.Split(sps,StringSplitOptions.RemoveEmptyEntries);}
	public override int I{get{return int.Parse(Sp(Rl())[0]);}}
	public override long L{get{return long.Parse(Sp(Rl())[0]);}}
	public override double D{get{return double.Parse(Sp(Rl())[0]);}}
	public override string S{get{return Sp(Rl())[0];}}
}
public class Scs2:Sc2{
	private StreamReader sr;
	public Scs2(string t){sr=new StreamReader(t);}
	[MethodImpl(MethodImplOptions.AggressiveInlining)]
	protected override string Rl(){return sr.ReadLine();}
}
public class Sct:Sc{
	private List<string> li=new List<string>();
	private int l=0;
	public void Add(int s){li.Add(s.ToString());}
	public void Add(long s){li.Add(s.ToString());}
	public void Add(double s){li.Add(s.ToString());}
	public void Add(string s){li.Add(s.ToString());}
	public void Add(object s){li.Add(s.ToString());}
	public void Add(int[] s){li.Add(string.Join(" ",s));}
	public void Add(long[] s){li.Add(string.Join(" ",s));}
	public void Add(double[] s){li.Add(string.Join(" ",s));}
	public void Add(string[] s){li.Add(string.Join(" ",s));}
	public void Add(object[] s){li.Add(string.Join(" ",s));}
	protected override string Rl(){return li[l++];}
	public void Clear(){li.Clear();l=0;}
}