CF2070A FizzBuzz Remixed

Description

FizzBuzz is one of the most well-known problems from coding interviews. In this problem, we will consider a remixed version of FizzBuzz: Given an integer $ n $ , process all integers from $ 0 $ to $ n $ . For every integer such that its remainders modulo $ 3 $ and modulo $ 5 $ are the same (so, for every integer $ i $ such that $ i \bmod 3 = i \bmod 5 $ ), print FizzBuzz. However, you don't have to solve it. Instead, given the integer $ n $ , you have to report how many times the correct solution to that problem will print FizzBuzz.

Input Format

The first line contains one integer $ t $ ( $ 1 \le t \le 10^4 $ ) — the number of test cases. Each test case contains one line consisting of one integer $ n $ ( $ 0 \le n \le 10^9 $ ).

Output Format

For each test case, print one integer — the number of times the correct solution will print FizzBuzz with the given value of $ n $ .

Explanation/Hint

In the first test case, the solution will print FizzBuzz for the integer $ 0 $ . In the second test case, the solution will print FizzBuzz for the integers $ 0, 1, 2 $ . In the third test case, the solution will print FizzBuzz for the integers $ 0, 1, 2, 15 $ .