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Shortest path from 1 to n
Submissions: 208   Accuracy:


  Difficulty: Basic   Marks: 1

Consider a directed graph whose vertices are numbered from 1 to n. There is an edge from a vertex i to a vertex j iff either j = i + 1 or j = 3 * i. The task is to find the minimum number of edges in a path in G from vertex 1 to vertex n.

Example 1:

Input: N = 9
Output: 2
Explanation: 9 -> 3 -> 1, so
number of steps are 2. 

Example 2:

Input: N = 4
Output: 2
Explanation: 4 -> 3 -> 1, so
number of steps are 2.

Your Task:  
You don't need to read input or print anything. Your task is to complete the function minimumStep() which takes the n as inputs and returns the answer.

Expected Time Complexity: O(log n)
Expected Auxiliary Space: O(1)

1 ≤ n ≤ 105

** For More Input/Output Examples Use 'Expected Output' option **

Contributor: souradeep
Author: kartik

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