SPOJ Problem Set (classical)

1030. Triple Fat Ladies

Problem code: EIGHTS

Pattern Matchers have been designed for various sorts of patterns. Mr. HKP likes to observe patterns in numbers. After completing his extensive research on the squares of numbers, he has moved on to cubes. Now he wants to know all numbers whose cube ends in 888.

Given a number k, help Mr. HKP find the k^th number (indexed from 1) whose cube ends in 888.

Input

The first line of the input contains an integer t, the number of test cases. t test cases follow.

Each test case consists of a single line containing a single integer k (1 <= k <= 2000000000000).

Output

For each test case, output a single integer which denotes the k^th number whose cube ends in 888. The result will be less than 2⁶³.

Example

Input:
1
1

Output:
192

Added by:	Matthew Reeder
Date:	2006-10-30
Time limit:	5s
Source limit:	30000B
Languages:	All except: ERL TECS JS
Resource:	Al-Khawarizm 2006

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2010-01-11 19:25:11 Rohan Jain i think if i/p is 192 den o/p shud b 192th number whose cube ends with 888
2009-11-10 21:31:36 गुमनाम YES what this kth term is indicating if input is 190 then out put should be 192 or 2
2009-10-17 06:22:09 Seshadri R if the input is 192, should the output be 192 or a number greater than 192 whose cube ends in 888? The term kth number is misleading.
2009-08-21 21:02:56 dreivaj (Slash at the moment) the solution is a line because the problem is math Last edit: 2009-09-14 23:02:34
2009-07-25 17:47:18 Anonomous Watch out for precision...