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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

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)

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

```
2
8
3
```

```
2
2
```