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.*;
import java.math.*;
import java.text.*;
import java.util.*;
import java.util.regex.*;

public class Solution 
{
    public static HashSet<Long> set;
    
    public static void main(String[] args) throws IOException 
    {
        //BufferedReader in=new BufferedReader(new InputStreamReader(System.in));
        InputReader in=new InputReader(System.in);
        PrintWriter w=new PrintWriter(System.out);
        int n=in.nextInt();
        int[] a=new int[n];
        int [] b=new int[n];
        a=in.nextIntArray(n);
        b=in.nextIntArray(n);
        HashMap<Integer,Integer> map=new HashMap<Integer,Integer>();
        for(int i=0;i<n;i++)
        {
            map.put(a[i],(i+1));
        }
        int maxindex=0;
        for(int i=0;i<n;i++)
        {
            int ix=map.get(b[i]);
            if(ix<maxindex)
            {
                w.print("0 ");
            }
            else
            {
                w.print((ix-maxindex)+" ");
                maxindex=ix;
            }
        }
        w.close();
    }
    static class InputReader
    {
        private final InputStream stream;
        private final byte[] buf = new byte[8192];
        private int curChar, snumChars;

        public InputReader(InputStream st) 
        {
          this.stream = st;
        }

        public int read() 
        {
          if (snumChars == -1)
            throw new InputMismatchException();
          if (curChar >= snumChars) 
          {
            curChar = 0;
            try 
            {
              snumChars = stream.read(buf);
            } catch (IOException e) 
            {
              throw new InputMismatchException();
            }
            if (snumChars <= 0)
              return -1;
          }
          return buf[curChar++];
        }

        public int nextInt() 
        {
          int c = read();
          while (isSpaceChar(c)) 
          {
            c = read();
          }
          int sgn = 1;
          if (c == '-') 
          {
            sgn = -1;
            c = read();
          }
          int res = 0;
          do 
          {
            res *= 10;
            res += c - '0';
            c = read();
          } while (!isSpaceChar(c));
          return res * sgn;
        }

        public long nextLong() 
        {
          int c = read();
          while (isSpaceChar(c)) 
          {
            c = read();
          }
          int sgn = 1;
          if (c == '-') 
          {
            sgn = -1;
            c = read();
          }
          long res = 0;
          do 
          {
            res *= 10;
            res += c - '0';
            c = read();
          } while (!isSpaceChar(c));
          return res * sgn;
        }

        public int[] nextIntArray(int n) 
        {
          int a[] = new int[n];
          for (int i = 0; i < n; i++) 
          {
            a[i] = nextInt();
          }
          return a;
        }

        public String readString() 
        {
          int c = read();
          while (isSpaceChar(c)) 
          {
            c = read();
          }
          StringBuilder res = new StringBuilder();
          do 
          {
            res.appendCodePoint(c);
            c = read();
          } while (!isSpaceChar(c));
          return res.toString();
        }

        public String nextLine() 
        {
          int c = read();
          while (isSpaceChar(c))
            c = read();
          StringBuilder res = new StringBuilder();
          do 
          {
            res.appendCodePoint(c);
            c = read();
          } while (!isEndOfLine(c));
          return res.toString();
        }

        public boolean isSpaceChar(int c) 
        {
          return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        private boolean isEndOfLine(int c) 
        {
          return c == '\n' || c == '\r' || c == -1;
        }
    }
    public static int gcd(int a,int b)
    {
        if(b==0)
            return a;
        return(gcd(b,a%b));
    }
    public static int lcm(int a,int b)
    {
        return((a*b)/gcd(a,b));
    }
    static boolean isPrime(int n) 
    { 
        if (n <= 1) return false; 
        if (n <= 3) return true; 
        if (n % 2 == 0 || n % 3 == 0) return false; 
        for (int i = 5; i * i <= n; i = i + 6) 
        {
            if (n % i == 0 || n % (i + 2) == 0) 
                return false;
        }
        return true; 
    }
    static class pair
    {
        int x;
        int y;
        pair(int a1,int a2)
        {
            x=a1;
            y=a2;
        }
    }
}