CF920C.Swap Adjacent Elements

You have an array $a$ consisting of $n$ integers. Each integer from $1$ to $n$ appears exactly once in this array.

For some indices $i$ ( $1<=i<=n-1$ ) it is possible to swap $i$ -th element with $(i+1)$ -th, for other indices it is not possible. You may perform any number of swapping operations any order. There is no limit on the number of times you swap $i$ -th element with $(i+1)$ -th (if the position is not forbidden).

Can you make this array sorted in ascending order performing some sequence of swapping operations?

The first line contains one integer $n$ ( $2<=n<=200000$ ) — the number of elements in the array.

The second line contains $n$ integers $a_{1}$ , $a_{2}$ , ..., $a_{n}$ ( $1<=a_{i}<=200000$ ) — the elements of the array. Each integer from $1$ to $n$ appears exactly once.

The third line contains a string of $n-1$ characters, each character is either 0 or 1. If $i$ -th character is 1, then you can swap $i$ -th element with $(i+1)$ -th any number of times, otherwise it is forbidden to swap $i$ -th element with $(i+1)$ -th.

If it is possible to sort the array in ascending order using any sequence of swaps you are allowed to make, print YES. Otherwise, print NO.

In the first example you may swap $a_{3}$ and $a_{4}$ , and then swap $a_{4}$ and $a_{5}$ .