• محدودیت زمان: ۱ ثانیه
• محدودیت حافظه: ۲۵۶ مگابایت

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Consider the following algorithm:

function gcd(a, b):
    if b is 0:
        return a
    return gcd(b, a % b)

We want to create a test to evaluate the performance of this program. For each test, you need to provide two integers $a$ and $b$ such that $1 \le a, b \le n$ and this algorithm has the maximum number of gcd function calls.

ورودی

The first line contains an integer $t$, representing the number of test cases.

$$1 \leq t \leq 10^5$$

In each test case, there is a single integer $n$.

$$1 \leq n \leq 10^{18}$$

خروجی

For each test case, print the maximum number of function calls.

مثال‌ها

ورودی نمونه ۱

5
1
2
3
4
5

خروجی نمونه ۱

2
3
4
4
5