Description: This is a simple version of the problem. The only difference is that in this version $$$n \le 10^6$$$. One winter morning, Rudolf was looking thoughtfully out the window, watching the falling snowflakes. He quickly noticed a certain symmetry in the configuration of the snowflakes. And like a true mathematician, Rudolf came up with a mathematical model of a snowflake. He defined a snowflake as an undirected graph constructed according to the following rules: - Initially, the graph has only one vertex. - Then, more vertices are added to the graph. The initial vertex is connected by edges to $$$k$$$ new vertices ($$$k > 1$$$). - Each vertex that is connected to only one other vertex is connected by edges to $$$k$$$ more new vertices. This step should be done at least once. The smallest possible snowflake for $$$k = 4$$$ is shown in the figure. After some mathematical research, Rudolf realized that such snowflakes may not have any number of vertices. Help Rudolf check if a snowflake with $$$n$$$ vertices can exist. Input Format: The first line of the input contains an integer $$$t$$$ ($$$1 \le t \le 10^4$$$) — the number of test cases. Then follow the descriptions of the test cases. The first line of each test case contains an integer $$$n$$$ ($$$1 \le n \le 10^6$$$) — the number of vertices for which it is necessary to check the existence of a snowflake. Output Format: Output $$$t$$$ lines, each of which is the answer to the corresponding test case — "YES" if there exists such $$$k > 1$$$ for which a snowflake with the given number of vertices can be constructed; "NO" otherwise. Note: None