Building Numbers
时间限制:C/C++/Rust/Pascal 3秒,其他语言6秒
空间限制:C/C++/Rust/Pascal 256 M,其他语言512 M
64bit IO Format: %lld

题目描述

In this problem, you can build a new number starting from 1, by performing the following operations as much as you need:

  • Add 1 to the current number.
  • Add the current number to itself (i.e. multiply it by 2).

For example, you can build number 8 starting from 1 with three operations . Also, you can build number 10 starting from 1 with five operations .

You are given an array a consisting of n integers, and q queries. Each query consisting of two integers l and r, such that the answer of each query is the total number of operations you need to preform to build all the numbers in the range from l to r (inclusive) from array a, such that each number ai(l ≤ i ≤ r) will be built with the minimum number of operations.

输入描述:

The first line contains an integer T(1 ≤ T ≤ 50), where T is the number of test cases.

The first line of each test case contains two integers n and q(1 ≤ n, q ≤ 105), where n is the size of the given array, and q is the number of queries.

The second line of each test case contains n integers a1, a2, ..., an(1 ≤ ai ≤ 1018), giving the array a.

Then q lines follow, each line contains two integers l and r(1 ≤ l ≤ r ≤ n), giving the queries.

输出描述:

For each query, print a single line containing its answer.

示例1

输入

复制
1
5 3
4 7 11 8 10
4 5
1 5
3 3

输出

复制
7
18
5

备注:

As input/output can reach huge size it is recommended to use fast input/output methods: for example, prefer to use scanf/printf instead of cin/cout in C++, prefer to use BufferedReader/PrintWriter instead of Scanner/System.out in Java.

In the first query, you need 3 operations to build number 8, and 4 operations to build number 10. So, the total number of operations is 7.