Utkarsh lives in a strange country. The cities of the country are present on x axis. He is currently at a city at $x = 0$. He needs to reach another city at $x = N$.

Utkarsh can move only in the positive x direction. Also due to massive traffic in the one dimensional country, at any time = T seconds, a person can make one of the following things.

• Stay at his current position
• Make a jump of length T. (i.e. move from $x = cur$ to $x = cur+T$)

You need to tell the minimum time Utkarsh will take to reach his destination.

INPUT
First line contains an integer T, the number of test cases.
Each test case contains a single integer N on separate line.

OUTPUT
For each test case print the minimum time to reach the city at $x = N$.

CONSTRAINTS
1 ≤ T ≤ $10^5$
1 ≤ N ≤ $10^{18}$