Vasya has got n books, numbered from 1 to n, arranged in a stack. The topmost book has number a_1, the next one — a_2, and so on. The book at the bottom of the stack has number a_n. All numbers are distinct.

Vasya wants to move all the books to his backpack in n steps. During i-th step he wants to move the book number b_i into his backpack. If the book with number b_i is in the stack, he takes this book and all the books above the book b_i, and puts them into the backpack; otherwise he does nothing and begins the next step. For example, if books are arranged in the order [1, 2, 3] (book 1 is the topmost), and Vasya moves the books in the order [2, 1, 3], then during the first step he will move two books (1 and 2), during the second step he will do nothing (since book 1 is already in the backpack), and during the third step — one book (the book number 3). Note that b_1, b_2, ..., b_n are distinct.

Help Vasya! Tell him the number of books he will put into his backpack during each step.

Input

The first line contains one integer n~(1 ≤ n ≤ 2 ⋅ 10^5) — the number of books in the stack.

The second line contains n integers a_1, a_2, ..., a_n~(1 ≤ a_i ≤ n) denoting the stack of books.

The third line contains n integers b_1, b_2, ..., b_n~(1 ≤ b_i ≤ n) denoting the steps Vasya is going to perform.

All numbers a_1 ... a_n are distinct, the same goes for b_1 ... b_n.

Output

Print n integers. The i-th of them should be equal to the number of books Vasya moves to his backpack during the i-th step.

Examples

Input

3
1 2 3
2 1 3


Output

2 0 1 


Input

5
3 1 4 2 5
4 5 1 3 2


Output

3 2 0 0 0 


Input

6
6 5 4 3 2 1
6 5 3 4 2 1


Output

1 1 2 0 1 1 

Note

The first example is described in the statement.

In the second example, during the first step Vasya will move the books [3, 1, 4]. After that only books 2 and 5 remain in the stack (2 is above 5). During the second step Vasya will take the books 2 and 5. After that the stack becomes empty, so during next steps Vasya won't move any books.
import java.io.BufferedOutputStream;
import java.io.BufferedReader;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;

public class B {

    //static FastInput k = new FastInput("/home/rajkin/Desktop/input.txt");
    static FastInput k = new FastInput(System.in);
    static FastOutput z = new FastOutput();
    
	public static void main(String[] args) {
		while(k.hasNext()){
			int n = k.nextInt();
			HashSet<Integer> set = new HashSet<Integer>();
			ArrayDeque<Integer> stack = new ArrayDeque<Integer>();
			ArrayDeque<Integer> deque = new ArrayDeque<Integer>();
			
			for(int i = 0; i<n; i++){
				int v = k.nextInt();
				set.add(v);
				deque.add(v);
			}
			
			for(int i = 0; i<n; i++){
				stack.add(k.nextInt());
			}
			
			while(!stack.isEmpty()){
				int value = stack.removeFirst();
				int counter = 0;
				while(set.contains(value)){
					set.remove(deque.removeFirst());
					counter++;
				}
				
				z.print(counter+" ");
			}
			
			z.println();
		}
		
		z.flush();
	}
	
	/* MARK: FastInput and FastOutput implementation */
	 
    public static class FastInput {
        BufferedReader reader;
        StringTokenizer tokenizer;
 
        public FastInput(InputStream stream){
        	reader = new BufferedReader(new InputStreamReader(stream));
        }
        
	    public FastInput(String path){
	        try {
	        	reader = new BufferedReader(new FileReader(path));
			} catch (FileNotFoundException e) {
				// TODO Auto-generated catch block
				e.printStackTrace();
			}
	        tokenizer = null;
	    }
 
        public String next() {
            return nextToken();
        }
        
        public String nextLine() {
            try {
				return reader.readLine();
			} catch (IOException e) {
				// TODO Auto-generated catch block
				e.printStackTrace();
			}
            
            return null;
        }
 
        public boolean hasNext(){
            try {
                return reader.ready();
            } catch (IOException e) {
                // TODO Auto-generated catch block
                e.printStackTrace();
            }
            return false;
        }
 
        public String nextToken() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                String line = null;
                try {
                    line = reader.readLine();
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
                if (line == null) {
                    return null;
                }
                tokenizer = new StringTokenizer(line);
            }
            return tokenizer.nextToken();
        }
 
        public Integer nextInt() {
            return Integer.parseInt(nextToken());
        }
       
        public Long nextLong() {
            return Long.valueOf(nextToken());
        }
    	
    	public void inputIntegerList(ArrayList<Integer> list, int size) {
    		for(int i = 0; i<size; i++) {
    			list.add(nextInt());
    		}
    	}
    	
    	public void inputLongList(ArrayList<Long> list, int size) {
    		for(int i = 0; i<size; i++) {
    			list.add(nextLong());
    		}
    	}
    	
    	public void inputWordList(ArrayList<String> list, int size) {
    		for(int i = 0; i<size; i++) {
    			list.add(next());
    		}
    	}
    	
    	public void inputLineList(ArrayList<String> list, int size) {
    		for(int i = 0; i<size; i++) {
    			list.add(nextLine());
    		}
    	}
    	
    	public void inputIntegerArray(int [] array, int size) {
    		for(int i = 0; i<size; i++) {
    			array[i] = nextInt();
    		}
    	}

    	public void inputLongArray(long [] array, int size) {
    		for(int i = 0; i<size; i++) {
    			array[i] = nextLong();
    		}
    	}
    	
    	public void inputWordArray(String [] array, int size) {
    		for(int i = 0; i<size; i++) {
    			array[i] = next();
    		}
    	}
    	
    	public void inputLineArray(String [] array, int size) {
    		for(int i = 0; i<size; i++) {
    			array[i] = nextLine();
    		}
    	}
    }
 
    public static class FastOutput extends PrintWriter {
    	public FastOutput() { 
            super(new BufferedOutputStream(System.out)); 
    	}
    	
    	public void printSideBySideSet(Set<Object> set, int size) {
    		boolean isFirstElementPrinted = false;
    		for(Object element : set) {
    			if(!isFirstElementPrinted) {
    				print(element);
    				isFirstElementPrinted = true;
    				
    				return;
    			}
    			print(" "+element);
    		}
    		println();
    	}
    	
    	public void printLineByLineSet(Set<Object> set, int size) {
    		for(Object element : set) {
    			println(element);
    		}
    	}
    	
    	public void printSideBySideList(ArrayList<Object> list, int size) {
    		print(list.get(0));
    		for(int i = 1; i<size; i++) {
    			print(" "+list.get(i));
    		}
    		println();
    	}
    	
    	public void printLineByLineList(ArrayList<Object> list, int size) {
    		for(int i = 0; i<size; i++) {
    			println(list.get(i));
    		}
    	}
    	
    	public void printSideBySideArray(Object [] array, int size) {
    		print(array[0]);
    		for(int i = 1; i<size; i++) {
    			print(" "+array[i]);
    		}
    		println();
    	}
    	
    	public void printLineByLineArray(Object [] array, int size) {
    		for(int i = 0; i<size; i++) {
    			println(array[i]);
    		}
    	}
    }

}
