Nearest Light

We, iuian develop a virtual vertical line with infinite length are numbered starting from zero from left to right. At every integer point of the vertical line, there is a bulb. Initially all the bulbs are turned on.

You are given Q queries of two types:

• 1 n (after this query nth bulb will be turned off, and remains turned off until end)
• 2 n (print the difference between nth position and nearest turned on bulb's position. i.e. answer could be 0)

Input

Input starts with an integer Q.
next Q line contains two integer t and n.
( 1<= Q,n <= 5000000, 1<= t <= 2 )

Output

Print answers to queries of the type 2 in order they appear in the input.

Sample

7
2 5
1 2
1 3 
1 4
1 5
2 4
2 5

0
2
1