Problem7498--[CSES Problem Set] Digit Queries

7498: [CSES Problem Set] Digit Queries

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Time Limit : 1.000 sec  Memory Limit : 256 MiB

Description

Consider an infinite string that consists of all positive integers in increasing order:
12345678910111213141516171819202122232425...
Your task is to process $q$ queries of the form: what is the digit at position $k$ in the string?

Input

The first input line has an integer $q$: the number of queries.
After this, there are $q$ lines that describe the queries. Each line has an integer $k$: a $1$-indexed position in the string.

Output

For each query, print the corresponding digit.

Constraints

$1 \leq q \leq 1,000$
$1 \leq k \leq 10^{18}$

Sample 1 Input

3
7
19
12

Sample 1 Output

7
4
1

HINT

相同题目:CSES 2431

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