A12236 | Vasya and Books

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.

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 $b_1 \dots b_n$ .

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.