N ladies attend the ball in the King's palace. Every lady can be described with three values: beauty, intellect and richness. King's Master of Ceremonies knows that ladies are very special creatures. If some lady understands that there is other lady at the ball which is more beautiful, smarter and more rich, she can jump out of the window. He knows values of all ladies and wants to find out how many probable self-murderers will be on the ball. Lets denote beauty of the i-th lady by Bi, her intellect by Ii and her richness by Ri. Then i-th lady is a probable self-murderer if there is some j-th lady that Bi < Bj, Ii < Ij, Ri < Rj. Find the number of probable self-murderers.

Input

The first line contains one integer N (1 ≤ N ≤ 500000). The second line contains N integer numbers Bi, separated by single spaces. The third and the fourth lines contain sequences Ii and Ri in the same format. It is guaranteed that 0 ≤ Bi, Ii, Ri ≤ 109.

Output

Output the answer to the problem.

Examples

Input

3
1 4 2
4 3 2
2 5 3


Output

1
import java.util.*;
import java.io.*;
import java.math.*;
public class hc {
	InputStream is;
	PrintWriter out;
	static class Pair implements Comparable<Pair>{
		 
        int x,y,k,i;
        
	Pair (int x,int y,int k){
		this.x=x;
		this.y=y;
		this.k=k;
	}
        
	public int compareTo(Pair o) {
			if(this.x!=o.x)
				return	this.x-o.x;
			else
				return 	this.y-o.y;
	}
 
        public boolean equals(Object o) {
            if (o instanceof Pair) {
                Pair p = (Pair)o;
                return p.x == x && p.y == y && p.k==k;
            }
            return false;
        }
           
 
        @Override
        public String toString() {
            return  "("+x + " " + y +" "+k+" "+i+" )";
        }
    
    }
	long mod=pow(10,9)+7;
	void solve()
	{
		int n=ni();
		int b[]=na(n);
		int ii[]=na(n);
		int r[]=na(n);
		int arr[]=new int[3*n];
		for(int i=0,j=0;i<n;i++)
		{
			arr[j++]=b[i];
			arr[j++]=ii[i];
			arr[j++]=r[i];
		}
		Arrays.sort(arr);
		int count=0;
		HashMap<Integer,Integer> hm=new HashMap<Integer,Integer>();
		hm.put(arr[0],++count);
		for(int i=1;i<arr.length;i++)
		{
			if(arr[i]!=arr[i-1])
				hm.put(arr[i],++count);
		}
		Pair p[]=new Pair[n];
		for(int i=0;i<n;i++)
			p[i]=new Pair(hm.get(b[i]),hm.get(ii[i]),hm.get(r[i]));
		Arrays.sort(p);
		segtree st=new segtree(count);
		long ans=0;
		for(int i=n-2;i>=0;i--)
		{
			if(p[i].x!=p[i+1].x)
			{
				int j=i+1;
				while(j+1<n&&p[j].x==p[j+1].x)
				{
					st.update(p[j].y,p[j].k);
					j++;
				}
				st.update(p[j].y,p[j].k);
			}
			int query=st.get(p[i].y+1,count);
			if(p[i].k<query)
				ans++;
		}
		out.println(ans);
		
	}
	static class segtree{
		int arr[], st[], size;
		segtree(int a[]){
			arr = a.clone();
			size = arr.length-1;
			st = new int[4*(size+1)+1];
			build(0,0,size);
		}
		segtree(int size)
		{
			this.size=size;
			st=new int[4*(size+1)+1];
			Arrays.fill(st,Integer.MIN_VALUE);
		}
		int merge(int a,int b)
		{
			return Math.max(a,b);
		}
		void build(int n, int l, int r){
			if(l==r){
				st[n] = arr[l];
				return;
			}
			int mid = (l+r)/2;
			build(2*n+1,l,mid); build(2*n+2,mid+1,r);				
			st[n]=merge(st[2*n+1], st[2*n+2]);
		}
		int get(int ql,int qr)
		{
			return get(0,0,size,ql,qr);
		}
		int get(int n,int l,int r,int ql,int qr){
			if(ql>r || qr<l || l>r) return Integer.MIN_VALUE;
			if(ql<=l&&qr>=r) return st[n];
			int mid = (l+r)/2;
			return merge(get(2*n+1,l,mid,ql,qr), get(2*n+2,mid+1,r,ql,qr));
		}
		void update(int index,int dx)
		{
			update(0,0,size,index,dx);
		}
		void update(int n,int l,int r,int index,int dx)
		{
			if(l==r)
			{
				st[n]=Math.max(dx,st[n]);
				return;
			}
			int mid=(l+r)/2;
			if(index<=mid)
				update(2*n+1,l,mid,index,dx);	
			else
				update(2*n+2,mid+1,r,index,dx);
			st[n]=merge(st[2*n+1],st[2*n+2]);
		}
	}
	public static int count(int num)
	{
		int count=0;
		while(num!=0)
		{
			num=num&(num-1);
			count++;
		}
		return count;
	}
	/*static long d, x, y;
	void extendedEuclid(long A, long B) {
	    if(B == 0) {
	        d = A;
	        x = 1;
	        y = 0;
	    }
	    else {
	        extendedEuclid(B, A%B);
	        long temp = x;
	        x = y;
	        y = temp - (A/B)*y;
	    }
	}
	long modInverse(long A,long M) //A and M are coprime
	{
	    extendedEuclid(A,M);
	    return (x%M+M)%M;    //x may be negative
	}*/
	public static void mergeSort(int[] arr, int l ,int r){
		if((r-l)>=1){
			int mid = (l+r)/2;
			mergeSort(arr,l,mid);
			mergeSort(arr,mid+1,r);
			merge(arr,l,r,mid);
		}
	}
	public static void merge(int arr[], int l, int r, int mid){
		int n1 = (mid-l+1), n2 = (r-mid);
		int left[] = new int[n1];
		int right[] = new int[n2];
		for(int i =0 ;i<n1;i++) left[i] = arr[l+i];
		for(int i =0 ;i<n2;i++) right[i] = arr[mid+1+i];
		int i =0, j =0, k = l;
		while(i<n1 && j<n2){
			if(left[i]>right[j]){
				arr[k++] = right[j++];
			}
			else{
				arr[k++] = left[i++];
			}
		}
		while(i<n1) arr[k++] = left[i++];
		while(j<n2) arr[k++] = right[j++];
	}
	public static void mergeSort(long[] arr, int l ,int r){
		if((r-l)>=1){
			int mid = (l+r)/2;
			mergeSort(arr,l,mid);
			mergeSort(arr,mid+1,r);
			merge(arr,l,r,mid);
		}
	}
	public static void merge(long arr[], int l, int r, int mid){
		int n1 = (mid-l+1), n2 = (r-mid);
		long left[] = new long[n1];
		long right[] = new long[n2];
		for(int i =0 ;i<n1;i++) left[i] = arr[l+i];
		for(int i =0 ;i<n2;i++) right[i] = arr[mid+1+i];
		int i =0, j =0, k = l;
		while(i<n1 && j<n2){
			if(left[i]>right[j]){
				arr[k++] = right[j++];
			}
			else{
				arr[k++] = left[i++];
			}
		}
		while(i<n1) arr[k++] = left[i++];
		while(j<n2) arr[k++] = right[j++];
	}
	    
	    public static boolean isPal(String s){
	        for(int i=0, j=s.length()-1;i<=j;i++,j--){
	                if(s.charAt(i)!=s.charAt(j)) return false;
	        }
	        return true;
	    }
	    public static String rev(String s){
			StringBuilder sb=new StringBuilder(s);
			sb.reverse();
			return sb.toString();
	    }
	    
	    public static long gcd(long x,long y){
		if(x%y==0)
			return y;
		else
			return gcd(y,x%y);
	    }
	    
	    public static int gcd(int x,int y){
		if(x%y==0)
			return y;
		else 
			return gcd(y,x%y);
	    }
	    
	    public static long gcdExtended(long a,long b,long[] x){
	        
	        if(a==0){
	            x[0]=0;
	            x[1]=1;
	            return b;
	        }
	        long[] y=new long[2];
	        long gcd=gcdExtended(b%a, a, y);
	        
	        x[0]=y[1]-(b/a)*y[0];
	        x[1]=y[0];
	        
	        return gcd;
	    }
	    
	    public static int abs(int a,int b){
		return (int)Math.abs(a-b);
	    }
	 
	    public static long abs(long a,long b){
		return (long)Math.abs(a-b);
	    }
	    
	    public static int max(int a,int b){
		if(a>b)
			return a;
		else
			return b;
	    }
	 
	    public static int min(int a,int b){
		if(a>b)
			return b;
		else 
			return a;
	    }
	    
	    public static long max(long a,long b){
		if(a>b)
			return a;
		else
			return b;
	    }
	 
	    public static long min(long a,long b){
		if(a>b)
			return b;
		else 
			return a;
	    }
	 
	    public static long pow(long n,long p,long m){
		 long  result = 1;
		  if(p==0)
		    return 1;
		if (p==1)
		    return n;
		while(p!=0)
		{
		    if(p%2==1)
		        result *= n;
		    if(result>=m)
		    result%=m;
		    p >>=1;
		    n*=n;
		    if(n>=m)
		    n%=m;
		}
		return result;
	    }
	    
	    public static long pow(long n,long p){
		long  result = 1;
		  if(p==0)
		    return 1;
		if (p==1)
		    return n;
		while(p!=0)
		{
		    if(p%2==1)
		        result *= n;	    
		    p >>=1;
		    n*=n;	    
		}
		return result;
	    }
	    public static void debug(Object... o) {
			System.out.println(Arrays.deepToString(o));
		}
	    void run() throws Exception {
			is = System.in;
			out = new PrintWriter(System.out);
			solve();
			out.flush();
		}
	   
	    public static void main(String[] args) throws Exception {
			new Thread(null, new Runnable() {
				public void run() {
					try {
						new hc().run();
					} catch (Exception e) {
						e.printStackTrace();
					}
				}
			}, "1", 1 << 26).start();
		}
	    private byte[] inbuf = new byte[1024];
		public int lenbuf = 0, ptrbuf = 0;
	 
		private int readByte() {
			if (lenbuf == -1)
				throw new InputMismatchException();
			if (ptrbuf >= lenbuf) {
				ptrbuf = 0;
				try {
					lenbuf = is.read(inbuf);
				} catch (IOException e) {
					throw new InputMismatchException();
				}
				if (lenbuf <= 0)
					return -1;
			}
			return inbuf[ptrbuf++];
		}
	 
		private boolean isSpaceChar(int c) {
			return !(c >= 33 && c <= 126);
		}
	 
		private int skip() {
			int b;
			while ((b = readByte()) != -1 && isSpaceChar(b));
			return b;
		}
	 
		private double nd() {
			return Double.parseDouble(ns());
		}
	 
		private char nc() {
			return (char) skip();
		}
	 
		private String ns() {
			int b = skip();
			StringBuilder sb = new StringBuilder();
			while (!(isSpaceChar(b))) { // when nextLine, (isSpaceChar(b) && b != ' ')
				sb.appendCodePoint(b);
				b = readByte();
			}
			return sb.toString();
		}
	 
		private char[] ns(int n) {
			char[] buf = new char[n];
			int b = skip(), p = 0;
			while (p < n && !(isSpaceChar(b))) {
				buf[p++] = (char) b;
				b = readByte();
			}
			return n == p ? buf : Arrays.copyOf(buf, p);
		}
	 
		private char[][] nm(int n, int m) {
			char[][] map = new char[n][];
			for (int i = 0; i < n; i++)
				map[i] = ns(m);
			return map;
		}
	 
		private int[] na(int n) {
			int[] a = new int[n];
			for (int i = 0; i < n; i++)
				a[i] = ni();
			return a;
		}
	 
		private int ni() {
			int num = 0, b;
			boolean minus = false;
			while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
				;
			if (b == '-') {
				minus = true;
				b = readByte();
			}
	 
			while (true) {
				if (b >= '0' && b <= '9') {
					num = num * 10 + (b - '0');
				} else {
					return minus ? -num : num;
				}
				b = readByte();
			}
		}
	 
		private long nl() {
			long num = 0;
			int b;
			boolean minus = false;
			while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'))
				;
			if (b == '-') {
				minus = true;
				b = readByte();
			}
	 
			while (true) {
				if (b >= '0' && b <= '9') {
					num = num * 10 + (b - '0');
				} else {
					return minus ? -num : num;
				}
				b = readByte();
			}
		}
}