Number Sequence

Time Limit: 1000 ms Memory Limit: 65536 KiB

Problem Description

A single positive integer i is given. Write a program to find the digit located in the position i in the sequence of number
groups S1S2...Sk. Each group Sk consists of a sequence of positive integer numbers ranging from 1 to k, written one after
another.
For example, the first 80 digits of the sequence are as follows:
11212312341234512345612345671234567812345678912345678910123456789101112345678910
 

Input

 The first line of the input file contains a single integer t (1 ≤ t ≤ 10), the number of test cases, followed by one line for
each test case. The line for a test case contains the single integer i (1 ≤ i ≤ 2147483647)
 

Output

 There should be one output line per test case containing the digit located in the position i.
 

Sample Input

2
8
3

Sample Output

2
2

Hint

 

Source

First Iran Nationwide Internet Programming Contest