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题目描述

You are given an array of integers a1,a2,,ana_1, a_2, \ldots, a_n . You need to make it non-decreasing with the minimum number of operations. In one operation, you do the following:

  • Choose an index 1in1 \leq i \leq n ,
  • Set ai=ai2a_i = a_i \cdot 2 .

An array b1,b2,,bnb_1, b_2, \ldots, b_n is non-decreasing if bibi+1b_i \leq b_{i+1} for all 1i<n1 \leq i < n .

输入格式

Each test consists of multiple test cases. The first line contains a single integer tt ( 1t1041 \leq t \leq 10^4 ) — the number of test cases. This is followed by their description.

The first line of each test case contains an integer nn ( 1n1051 \leq n \leq 10^5 ) — the size of the array aa .

The second line of each test case contains nn integers a1,a2,,ana_1, a_2, \ldots, a_n ( 1ai1091 \leq a_i \leq 10^9 ).

It is guaranteed that the sum of nn over all test cases does not exceed 21052 \cdot 10^5 .

输出格式

For each test case, output the minimum number of operations needed to make the array non-decreasing.

输入输出样例

  • 输入#1

    9
    1
    1
    2
    2 1
    3
    3 2 1
    4
    7 1 5 3
    5
    11 2 15 7 10
    6
    1 8 2 16 8 16
    2
    624323799 708290323
    12
    2 1 1 3 3 11 12 22 45 777 777 1500
    12
    12 11 10 9 8 7 6 5 4 3 2 1

    输出#1

    0
    1
    3
    6
    10
    3
    0
    2
    66

说明/提示

No operations are needed in the first test case.

In the second test case, we need to choose i=2i = 2 , after which the array will be [2,2][2, 2] .

In the third test case, we can apply the following operations:

  • Choose i=3i = 3 , after which the array will be [3,2,2][3, 2, 2] ,
  • Choose i=3i = 3 , after which the array will be [3,2,4][3, 2, 4] ,
  • Choose i=2i = 2 , after which the array will be [3,4,4][3, 4, 4] .
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