D1. Inverse Minimum Partition (Easy Version)
time limit per test
4 seconds
memory limit per test
1024 megabytes
input
standard input
output
standard output

This is the easy version of the problem. The difference between the versions is that in this version, you are only asked to find $$$f(a)$$$. You can hack only if you solved all versions of this problem.

For some sequence $$$b$$$ of $$$k$$$ positive integers, the cost of the sequence is defined as follows$$$^{\text{∗}}$$$:

$$$$$$\mathtt{cost}(b)=\left\lceil{\frac{b_k}{\min(b_1,b_2,\ldots,b_k)}}\right\rceil$$$$$$

Assume that you partition a sequence $$$c$$$ into one or more sequences, so that the sequences become $$$c$$$ when concatenated. For example, when the sequence $$$c$$$ is $$$[3,1,4,1,5]$$$, a few valid ways to partition the sequence are $$$[[3,1],[4,1,5]]$$$, $$$[[3],[1,4,1],[5]]$$$, $$$[[3,1,4,1,5]]$$$. On the other hand, $$$[[3,1],[1,5]]$$$ and $$$[[3,4,1],[1,5]]$$$ are not valid ways to partition the sequence.

For a partition of a sequence $$$c$$$ of positive integers, the total cost of the partition is defined as the sum of the costs of each sequence in the partition. Then, let us define $$$f(c)$$$ as the minimum total cost to partition the sequence $$$c$$$.

Given a sequence $$$a$$$ of $$$n$$$ positive integers, you must compute the value of $$$f(a)$$$.

$$$^{\text{∗}}$$$Given a real value $$$x$$$, $$$\left\lceil{x}\right\rceil$$$ is defined as the smallest integer no less than $$$x$$$. For example, the value of $$$\left\lceil{3.14}\right\rceil$$$ is $$$4$$$.

Input

Each test contains multiple test cases. The first line contains the number of test cases $$$t$$$ ($$$1 \le t \le 10^4$$$). The description of the test cases follows.

The first line of each test case contains a single integer $$$n$$$ ($$$1 \le n \le 4\cdot 10^5$$$).

The second line of each test case contains $$$a_1,a_2,\ldots,a_n$$$ ($$$1 \le a_i \le 10^{18}$$$).

It is guaranteed that the sum of $$$n$$$ over all test cases does not exceed $$$4\cdot 10^5$$$.

Output

For each test case, output the answer to the problem on a separate line.

Example
Input
4
5
3 1 4 1 5
10
9 2 6 5 3 5 8 9 7 9
8
1 2 3 4 5 6 7 8
2
1 1000000000000000000
Output
2
4
5
2
Note

For the first test case, the partition $$$[[3,1,4,1],[5]]$$$ gives a total cost of $$$1+1=2$$$.

For the second test case, the partition $$$[[9,2,6,5,3],[5,8,9,7,9]]$$$ gives a total cost of $$$2+2=4$$$.

For the third test case, the partition $$$[[1],[2,3,4],[5,6,7,8]]$$$ gives a total cost of $$$1+2+2=5$$$.

For the fourth test case, the partition $$$[[1],[1\,000\,000\,000\,000\,000\,000]]$$$ gives a total cost of $$$1+1=2$$$.