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ZOJ Problem Set - 1410
Number Sequence

Time Limit: 2 Seconds      Memory Limit: 65536 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


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