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 = 3i. The task is to find the minimum number of edges in a path in G from vertex 1 to vertex n.

**Input: **

The first line of input contains an integer T denoting the number of test cases. The description of T test cases follows.

Each test case contains a value of n.

**Output: **

Print the number of edges in the shortest path from 1 to n.

**Constraints:**

1<=T<=30

1<=n <=1000

**Example:**

**Input:**

2

9

4

**Output:**

2

2

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