Number Sequence

Time Limit: 1 Second    Memory Limit: 32768 KB

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

Submit

Source: Asia 2002, Tehran (Iran), Iran Domestic