Problem setter of INSOMNIA, MNNIT Allahabad decided to set a easy problem for all coders so that they can easily solve the problem and boost their confidence for rest of INSOMNIA.

The problem is a follows: You are given an array of size n which is initialized with 0. You will be given q queries of two types:

Type 1: set in (input value) index k to -1.

Type 2: print the index which has value -1 and is greater or equal to input index y. If there is no such value print -1.

Note: Indexing is 1 based.

Input

First line contains two integers n and q separated by spaces.

Next q lines contains type of query and for type 1 query integer k separated by a space and for type 2 integer y separated by a space.

1 <= n <= 10^6

1 <= q <= 10^6

1 <= y, k <= n

Output

Print a single line for each query type 2 containing index which has value -1 and is greater or equal to input index y.

Example

Input:
5 5
2 3
1 2
2 1
2 3
2 2

Output:
-1
2
-1
2