Let's write out in a row the squares and cubes of positive integers: $1, 4, 8, 9$, .... For the given value of $n$, count the number of written numbers from $1$ to $n$. In other words, find the number of such $x$ that $x$ is a square or a cube of a positive integer (or both a square and a cube simultaneously). \InputFile The first line contains the number of test cases $t$. Each of the next $t$ lines contains one positive integer $n~(1 \le n \le 10^9)$. \OutputFile For each test print the answer --- the number of integers from $1$ to $n$ that belong to the list.