CF614A Link/Cut Tree
Description
Programmer Rostislav got seriously interested in the Link/Cut Tree data structure, which is based on Splay trees. Specifically, he is now studying the $ expose $ procedure.
Unfortunately, Rostislav is unable to understand the definition of this procedure, so he decided to ask programmer Serezha to help him. Serezha agreed to help if Rostislav solves a simple task (and if he doesn't, then why would he need Splay trees anyway?)
Given integers $ l $ , $ r $ and $ k $ , you need to print all powers of number $ k $ within range from $ l $ to $ r $ inclusive. However, Rostislav doesn't want to spent time doing this, as he got interested in playing a network game called Agar with Gleb. Help him!
Input Format
The first line of the input contains three space-separated integers $ l $ , $ r $ and $ k $ ( $ 1
Output Format
Print all powers of number $ k $ , that lie within range from $ l $ to $ r $ in the increasing order. If there are no such numbers, print "-1" (without the quotes).
Explanation/Hint
Note to the first sample: numbers $ 2^{0}=1 $ , $ 2^{1}=2 $ , $ 2^{2}=4 $ , $ 2^{3}=8 $ lie within the specified range. The number $ 2^{4}=16 $ is greater then $ 10 $ , thus it shouldn't be printed.