using System; using System.Collections.Generic; using System.Collections; using System.Collections.Specialized; using System.Linq; using System.Text; using System.Text.RegularExpressions; using System.IO; using System.Reflection; using static System.Math; using System.Numerics; using System.Threading; using System.Runtime.CompilerServices; using System.Diagnostics; using nint=System.Int32; static class Program{ const long inf=long.MaxValue>>1; const int mod=998244353; static Sc sc=new Sc(); static void Main(){ Pt pt=new Pt(Solve); pt.Sm(); } static void Solve(Pt pt) { var n=sc.I; var a=sc.Ia; var avl=new Avl(); avl.Ud(0); for(int i = 0;i < n;i++) { var lid=new List(); var liu=new List(); avl.En(e=>{ if(avl.Hs(a[i]+e.n)) {lid.Add(a[i]+e.n);} else {liu.Add(a[i]+e.n);} }); for(int j = 0;j < lid.Count;j++) {avl.Dl(lid[j]);} for(int j = 0;j < liu.Count;j++) {avl.Ud(liu[j]);} } int ans=0; avl.En(e=>{ans^=e.n;}); pt.Wl(ans); } } public class Avl{ public class Nd{ public int h=1,c=1; public readonly nint n; public Nd l,r; public Nd(nint n,Nd du){this.n=n;l=du;r=du;} } public Nd root,du; public int cnt=0; public Avl(){ du=new Nd(nint.MinValue,du);du.h=0;du.c=0; root=du; } public Avl(Avl z){ du=new Nd(nint.MinValue,du);du.h=0;du.c=0; root=Fu(z.root); cnt=z.cnt; Nd Fu(Nd nd){ if(nd.h==0){return du;} Nd mn=new Nd(nd.n,du); mn.h=nd.h; mn.c=nd.c; mn.l=Fu(nd.l); mn.r=Fu(nd.r); return mn; } } public void Ud(nint n){ Nd mn=new Nd(n,du); if(root==du){root=mn;} else{ Fu(root,mn); if(Abs(root.l.h-root.r.h)>1){root=Rotate(root);} } cnt++; } private void Fu(Nd t,Nd mn){ t.c++; if(t.n>mn.n){ if(t.l!=du){ Fu(t.l,mn); if(Abs(t.l.l.h-t.l.r.h)>1){t.l=Rotate(t.l);} } else{t.l=mn;} } else{ if(t.r!=du){ Fu(t.r,mn); if(Abs(t.r.l.h-t.r.r.h)>1){t.r=Rotate(t.r);} } else{t.r=mn;} } t.h=Max(t.l.h,t.r.h)+1; } private Nd Rotate(Nd t){ Nd nd=du; if(t.l.h>t.r.h){ if(t.l.l.h>t.l.r.h){ nd=t.l;t.l=t.l.r;nd.r=t; t.h=Max(t.l.h,t.r.h)+1; t.c=t.l.c+t.r.c+1; } else{ nd=t.l.r; t.l.r=nd.l;nd.l=t.l; t.l.h=Max(t.l.l.h,t.l.r.h)+1; t.l.c=t.l.l.c+t.l.r.c+1; t.l=nd.r;nd.r=t; t.h=Max(t.l.h,t.r.h)+1; t.c=t.l.c+t.r.c+1; } } else{ if(t.r.l.h>t.r.r.h){ nd=t.r.l; t.r.l=nd.r;nd.r=t.r; t.r.h=Max(t.r.l.h,t.r.r.h)+1; t.r.c=t.r.l.c+t.r.r.c+1; t.r=nd.l;nd.l=t; t.h=Max(t.l.h,t.r.h)+1; t.c=t.l.c+t.r.c+1; } else{ nd=t.r;t.r=t.r.l;nd.l=t; t.h=Max(t.l.h,t.r.h)+1; t.c=t.l.c+t.r.c+1; } } nd.h=Max(nd.l.h,nd.r.h)+1; nd.c=nd.l.c+nd.r.c+1; return nd; } public bool Dl(nint n){ if(cnt==0){return false;} Nd t=root; if(t.n==n){ root=Fd2(root); if(cnt==0){return true;} else if(Abs(root.l.h-root.r.h)>1){root=Rotate(root);} else{ root.h=Max(root.l.h,root.r.h)+1; root.c=root.l.c+root.r.c+1; } return true; } bool bo=Fd1(root,n); if(Abs(root.l.h-root.r.h)>1){root=Rotate(root);} else{ root.h=Max(root.l.h,root.r.h)+1; root.c=root.l.c+root.r.c+1; } return bo; } private bool Fd1(Nd t,nint n){ if(t.n>n){ if(t.l==du){return false;} else if(t.l.n!=n){ bool bo=Fd1(t.l,n); if(Abs(t.l.l.h-t.l.r.h)>1){t.l=Rotate(t.l);} else{ t.l.h=Max(t.l.l.h,t.l.r.h)+1; t.l.c=t.l.l.c+t.l.r.c+1; } return bo; } else{ t.l=Fd2(t.l); t.h=Max(t.l.h,t.r.h)+1; t.c=t.l.c+t.r.c+1; return true; } } else{ if(t.r==du){return false;} else if(t.r.n!=n){ bool bo=Fd1(t.r,n); if(Abs(t.r.l.h-t.r.r.h)>1){t.r=Rotate(t.r);} else{ t.r.h=Max(t.r.l.h,t.r.r.h)+1; t.r.c=t.r.l.c+t.r.r.c+1; } return bo; } else{ t.r=Fd2(t.r); t.h=Max(t.l.h,t.r.h)+1; t.c=t.l.c+t.r.c+1; return true; } } } private Nd Fd2(Nd dn){ cnt--; if(dn.l==du){return dn.r;} if(dn.r==du){return dn.l;} Nd u=dn.l; if(u.r==du){ u.r=dn.r; u.h=Max(u.l.h,u.r.h)+1; u.c=u.l.c+u.r.c+1; return u; } u=Fd3(u,dn); if(Abs(dn.l.l.h-dn.l.r.h)>1){u.l=Rotate(dn.l);} else{ dn.l.h=Max(dn.l.l.h,dn.l.r.h)+1; dn.l.c=dn.l.l.c+dn.l.r.c+1; } u.h=Max(u.l.h,u.r.h)+1; u.c=u.l.c+u.r.c+1; return u; } private Nd Fd3(Nd u,Nd dn){ if(u.r.r!=du){ Nd v=Fd3(u.r,dn); if(Abs(u.r.l.h-u.r.r.h)>1){u.r=Rotate(u.r);} else{ u.r.h=Max(u.r.l.h,u.r.r.h)+1; u.r.c=u.r.l.c+u.r.r.c+1; } return v; } else{ Nd v=u.r;u.r=u.r.l;v.l=dn.l;v.r=dn.r; return v; } } public bool Hs(nint n){ Nd t=root; if(cnt==0){return false;} if(t.n==n){return true;} bool bo=false; while(true){ if(t.n>n){ if(t.l==du){break;} else if(t.l.n!=n){t=t.l;} else{bo=true;break;} } else{ if(t.r==du){break;} else if(t.r.n!=n){t=t.r;} else{bo=true;break;} } } return bo; } public Nd Ra(int n){return cnt>=n&&cnt!=0?Fr(root,n):null;} private Nd Fr(Nd t,int n){ if(t.l.c>n-1){return Fr(t.l,n);} if(t.l.cn){ if(t.l==du){return t;} Nd u=Flb(t.l,n); return u==null?t:u; } return t; } public Nd Ub(nint n){return cnt!=0?Fub(root,n):null;} private Nd Fub(Nd t,nint n){ if(t.n>n){ if(t.l==du){return null;} return Fub(t.l,n); } if(t.n=a,r);} if(t.n>b){return Frg(t.l,a,b,l,t.n<=b);} return Frg(t.l,a,b,l,t.n<=b)+Frg(t.r,a,b,t.n>=a,r)+1; } public void En(Action f){if(cnt>0){Fen(root,f);}} private void Fen(Nd t,Action f){ if(t.r!=du){Fen(t.r,f);} f(t); if(t.l!=du){Fen(t.l,f);} } public void En(nint l,nint r,Action f){if(cnt>0){Fen(root,l,r,false,false,f);}} private void Fen(Nd t,nint a,nint b,bool l,bool r,Action f){ if(l&&r){ if(t.l!=du){Fen(t.l,f);} f(t); if(t.r!=du){Fen(t.r,f);} } else{ if(t.nb){if(t.l!=du){Fen(t.l,a,b,l,r,f);}} else{ if(t.l!=du){Fen(t.l,a,b,l,t.n<=b,f);} f(t); if(t.r!=du){Fen(t.r,a,b,t.n>=a,r,f);} } } } public void Enl(nint l,Func f){if(cnt>0){Fenl(root,l,f);}} private bool Fenl(Nd t,nint a,Func f){ bool bo=true; if(t.n f){if(cnt>0){Fenr(root,r,f);}} private bool Fenr(Nd t,nint b,Func f){ bool bo=true; if(t.n>b){ if(t.l!=du){bo&=Fenr(t.l,b,f);} } else{ if(t.r!=du){bo&=Fenr(t.r,b,f);} if(bo){bo&=f(t);} if(bo&&t.l!=du){bo&=Fenr(t.l,b,f);} } return bo; } } public class Pt{ private StringBuilder sb=new StringBuilder(); public Pt(Action f){f(this);} public void W(int s){sb.Append(s);} public void W(long s){sb.Append(s);} public void W(double s){sb.Append(s);} public void W(decimal s){sb.Append(s);} public void W(char s){sb.Append(s);} public void W(string s){sb.Append(s);} public void W(object s){sb.Append(s);} public void W(string f,int s){sb.Append(s.ToString(f));} public void W(string f,long s){sb.Append(s.ToString(f));} public void W(string f,double s){sb.Append(s.ToString(f));} public void W(string f,decimal s){sb.Append(s.ToString(f));} public void Wl(int s){sb.Append(s).Append(Environment.NewLine);} public void Wl(long s){sb.Append(s).Append(Environment.NewLine);} public void Wl(double s){sb.Append(s).Append(Environment.NewLine);} public void Wl(decimal s){sb.Append(s).Append(Environment.NewLine);} public void Wl(char s){sb.Append(s).Append(Environment.NewLine);} public void Wl(string s){sb.Append(s).Append(Environment.NewLine);} public void Wl(object s){sb.Append(s).Append(Environment.NewLine);} public void Wl(string f,int s){sb.Append(s.ToString(f)).Append(Environment.NewLine);} public void Wl(string f,long s){sb.Append(s.ToString(f)).Append(Environment.NewLine);} public void Wl(string f,double s){sb.Append(s.ToString(f)).Append(Environment.NewLine);} public void Wl(string f,decimal s){sb.Append(s.ToString(f)).Append(Environment.NewLine);} public void Wl(int[] s){sb.Append(string.Join(" ",s)).Append(Environment.NewLine);} public void Wl(long[] s){sb.Append(string.Join(" ",s)).Append(Environment.NewLine);} public void Wl(double[] s){sb.Append(string.Join(" ",s)).Append(Environment.NewLine);} public void Wl(string[] s){sb.Append(string.Join(" ",s)).Append(Environment.NewLine);} public void Wl(object[] s){sb.Append(string.Join(" ",s)).Append(Environment.NewLine);} public void Wl(){sb.Append(Environment.NewLine);} public void Sm(){Console.Write(sb);} public static bool operator==(Pt a,Pt b){return a.sb.ToString()==b.sb.ToString();} public static bool operator!=(Pt a,Pt b){return a.sb.ToString()!=b.sb.ToString();} public override bool Equals(object obj){return false;} public override int GetHashCode(){return 0;} } 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(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(int n,Func f){var a=new T[n];for(int i=0;i(int n,Func f){var a=new T[n];for(int i=0;i(int n,Func f){var a=new T[n];for(int i=0;i(int n,Func f){var a=new T[n];for(int i=0;i(){var s=Sp(Rl());return (Ct(s[0]),Ct(s[1]));} [MethodImpl(MethodImplOptions.AggressiveInlining)] public (T,T,T) Tp3(){var s=Sp(Rl());return (Ct(s[0]),Ct(s[1]),Ct(s[2]));} [MethodImpl(MethodImplOptions.AggressiveInlining)] public (T,T,T,T) Tp4(){var s=Sp(Rl());return (Ct(s[0]),Ct(s[1]),Ct(s[2]),Ct(s[3]));} [MethodImpl(MethodImplOptions.AggressiveInlining)] public (T,T,T,T,T) Tp5(){var s=Sp(Rl());return (Ct(s[0]),Ct(s[1]),Ct(s[2]),Ct(s[3]),Ct(s[4]));} [MethodImpl(MethodImplOptions.AggressiveInlining)] public (T,T,T,T,T,T) Tp6(){var s=Sp(Rl());return (Ct(s[0]),Ct(s[1]),Ct(s[2]),Ct(s[3]),Ct(s[4]),Ct(s[5]));} [MethodImpl(MethodImplOptions.AggressiveInlining)] public (T1,T2) Tp2(){var s=Sp(Rl());return (Ct(s[0]),Ct(s[1]));} [MethodImpl(MethodImplOptions.AggressiveInlining)] public (T1,T1,T2) Tp3(){var s=Sp(Rl());return (Ct(s[0]),Ct(s[1]),Ct(s[2]));} } public class Scr:Sc{ private List li=new List(); private int l=0; private bool bo=false; [MethodImpl(MethodImplOptions.AggressiveInlining)] protected override string Rl(){ if(bo){return li[l++%li.Count];} li.Add(Console.ReadLine()); return li[li.Count-1]; } public void Again(){bo=true;} } 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 Sct:Sc{ private List li=new List(); 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;} public void Again(){l=0;} public void Pf(){Console.WriteLine(string.Join("\n",li));} }