OnlineJudge 3 现已推出。点此体验新版：Number Sequence | SDUT OnlineJudge

### 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