Problem: A Pythagorean triple is a triple of integer numbers (a, b, c) such that it is possible to form a right triangle with the lengths of the first cathetus, the second cathetus and the hypotenuse equal to a, b and c, respectively. An example of the Pythagorean triple is (3, 4, 5).

Vasya studies the properties of right triangles, and he uses a formula that determines if some triple of integers is Pythagorean. Unfortunately, he has forgotten the exact formula; he remembers only that the formula was some equation with squares. So, he came up with the following formula: c = a^2 - b.

Obviously, this is not the right formula to check if a triple of numbers is Pythagorean. But, to Vasya's surprise, it actually worked on the triple (3, 4, 5): 5 = 3^2 - 4, so, according to Vasya's formula, it is a Pythagorean triple.

When Vasya found the right formula (and understood that his formula is wrong), he wondered: how many are there triples of integers (a, b, c) with 1 ≤ a ≤ b ≤ c ≤ n such that they are Pythagorean both according to his formula and the real definition? He asked you to count these triples.

Input

The first line contains one integer t (1 ≤ t ≤ 10^4) — the number of test cases.

Each test case consists of one line containing one integer n (1 ≤ n ≤ 10^9).

Output

For each test case, print one integer — the number of triples of integers (a, b, c) with 1 ≤ a ≤ b ≤ c ≤ n such that they are Pythagorean according both to the real definition and to the formula Vasya came up with.

Example

Input


3
3
6
9


Output


0
1
1

Note

The only Pythagorean triple satisfying c = a^2 - b with 1 ≤ a ≤ b ≤ c ≤ 9 is (3, 4, 5); that's why the answer for n = 3 is 0, and the answer for n = 6 (and for n = 9) is 1.

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.File;
import java.io.FileReader;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;


public class d_e104 {

	public static void main(String[] args) throws Exception {
		// TODO Auto-generated method stub

		FastScanner in = new FastScanner(System.in);
		OutputStream outputStream = System.out;
		PrintWriter out = new PrintWriter(outputStream);
		
		int T = in.nextInt();
		Solver A = new Solver(in, out); 
		
		for(int aa = 0; aa < T; aa++) {
			A.answer(aa + 1);
		}
		
		
		out.close();
	}
	
	static class Solver {
		FastScanner in;
		PrintWriter out;

		public Solver(FastScanner in, PrintWriter out) {
			this.in = in;
			this.out = out;
		}
		
		public void answer(int aa) throws Exception {
			
			int N = in.nextInt();
			
			// c^2 = a^2 + b^2, c = (a^2 - b)
			
			// (a^2 - b)^2 = a^4 - 2a^2b + b^2 = a^2 + b^2
			// a^4 = a^2 + 2a^2 x b^2
			int ans = 0;
			
			for(int i = 1; i*i < N; i++) {
				int a = i+(i+1);
				int b = 2*i*(i+1);
				int c = a*a - b;
				if(a <= N && b <= N && c <= N) {
					ans++;
				} else {
					break;
				}
			}

			out.println(ans);
		}
		
		
	}

	static class FastScanner {
		BufferedReader br;
		StringTokenizer st;

		public FastScanner(InputStream stream) {
			br = new BufferedReader(new InputStreamReader(stream));
			st = new StringTokenizer("");
		}

		public FastScanner(String fileName) throws Exception {
			br = new BufferedReader(new FileReader(new File(fileName)));
			st = new StringTokenizer("");
		}

		public String next() throws Exception {
			while (!st.hasMoreTokens()) {
				st = new StringTokenizer(br.readLine());
			}
			return st.nextToken();
		}

		public int nextInt() throws Exception {
			return Integer.parseInt(next());
		}

		public long nextLong() throws Exception {
			return Long.parseLong(next());
		}

		public Double nextDouble() throws Exception {
			return Double.parseDouble(next());
		}

		public String nextLine() throws Exception {
			if (st.hasMoreTokens()) {
				StringBuilder str = new StringBuilder();
				boolean first = true;
				while (st.hasMoreTokens()) {
					if (first) {
						first = false;
					} else {
						str.append(" ");
					}
					str.append(st.nextToken());
				}
				return str.toString();
			} else {
				return br.readLine();
			}
		}
	}
	
}