Time Limit: Java: 1000 ms / Others: 1000 ms
Memory Limit: Java: 32768 KB / Others: 32768 KB
For two integers m and k, k is said to be a container of m if k is divisible by m. Given 2 positive integers n and m (m < n), the function f(n, m) is defined to be the number of containers of m which are also no greater than n. For example, f(5, 1)=4, f(8, 2)=3, f(7, 3)=1, f(5, 4)=0...
Let us define another function F(n) by the following equation:
There are multiple test cases. The first line of input contains an integer T(T<=200) indicating the number of test cases. Then T test cases follow.
Each test case contains a positive integer n (0 < n <= 2000000000) in a single line.