Problem 2147 --DotA

2147: DotA

Time Limit: 1 Sec  Memory Limit: 32 MB
Submit: 227  Solved: 170
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Description

DotA(Defence of the Ancients) is very popular in Zhejiang University.Now a new hero appears in DotA.This hero has a miraculous skill.If the target's HP n is an even number,then it will be cut in half after skill-using.Otherwise the targe's HP will plus one after skill-using.Given a target's HP,we want to decrease the target's HP from n to 1 only with this new skill.

Input

The input consists of multiple test cases.Each case contain one line with an integer n(1<n≤1000000000).

Output

For each test case,output the target's HP's changing process on a single line.The HP values connect with '-' character.

Sample Input

5
21

Sample Output

5-6-3-4-2-1
21-22-11-12-6-3-4-2-1

HINT

Source

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