You are given a binary array $$A$$ of $$N$$ elements. The array consists of 0's and 1's. You can perform the following operations as many times as possible:

• Select a subarray starting from the first index that is inversion-free and delete it.

Determine the minimum number of operations to delete the entire array.

• Inversion free: There are no two indices $$i$$ and $$j$$ in array $$A$$ such that $$(i<j)$$ and (\(A_i>A_j\)). 
• Subarray: A subarray is an array obtained after deleting some elements from the beginning (prefix) possibly 0 and deleting some elements from the end (suffix) possibly 0.

Input format

• The first line contains an integer $$T$$ denoting the number of test cases. 
• The first line of each test case contains an integer $$N$$ denoting the number of elements in array $$A$$.
• The second line contains $$N$$ space-separated integers of array $$A$$.

Output Format

Print $$T$$ lines and for each test case:

• Print the minimum number of operations to delete the entire array.

Constraints

\(1 \leq T \leq 20000\)

\(1 \leq N \leq 200000\)

\(0 \leq A_i \leq 1\)