EIGHTS - Triple Fat Ladies

题意翻译

共t组询问,每组询问包含一个数k,求出第k大的数n,使得n的三次方末尾三位为888,保证答案小于2的63次方

题目描述

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.

输入输出格式

输入格式


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).

输出格式


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 2 $ ^{63} $ .

输入输出样例

输入样例 #1

1
1

输出样例 #1

192