You are given an array A which contains initially only ones. You can perform two operations:

1. \(0\;I\): Given an index I, update the value of \(A_I\) to zero.
2. \(1\;K\): Given the value K, print the index of \(K^{th}\) one in the array A. If there is no such index then print 1.

Input:
The first line of input contains N, the size of the array. The second line contains Q, number of operations. Next Q line contains one of the two operations.

Output:
Print the output for the second type of queries in a new line.

Constraints:
\(1 \le N \le 10^6\)
\(1 \le Q \le 10^6\)
\(1 \le I \le N\)
\(1 \le K \le N\)