# Vasya and Books

## 题意翻译

# codeforces 1073B div2 2018.10.25 ## 题目大意: 给定 $n$ 本书,序号分别为$1$到$n$，现在执行$n$个操作， 第$i$个操作需要从栈内取出编号为$b_i$的书，如果该书已经取出，则输出0否则将该书从栈内取出，同时取出在栈内比$b_i$靠上的书，并且输出一共取出了几本书

## 题目描述

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 $b_1, b_2, \dots, b_n$ are distinct. Help Vasya! Tell him the number of books he will put into his backpack during each step.

## 输入输出格式

### 输入格式

The first line contains one integer $n~(1 \le n \le 2 \cdot 10^5)$ — the number of books in the stack. The second line contains $n$ integers $a_1, a_2, \dots, a_n~(1 \le a_i \le n)$ denoting the stack of books. The third line contains $n$ integers $b_1, b_2, \dots, b_n~(1 \le b_i \le n)$ denoting the steps Vasya is going to perform. All numbers $a_1 \dots a_n$ are distinct, the same goes for $b_1 \dots b_n$ .

### 输出格式

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.

## 输入输出样例

### 输入样例 #1

3
1 2 3
2 1 3


### 输出样例 #1

2 0 1


### 输入样例 #2

5
3 1 4 2 5
4 5 1 3 2


### 输出样例 #2

3 2 0 0 0


### 输入样例 #3

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


### 输出样例 #3

1 1 2 0 1 1


## 说明

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.