Let's call an array a consisting of n positive (greater than 0) integers beautiful if the following condition is held for every i from 1 to n: either a_i = 1, or at least one of the numbers a_i - 1 and a_i - 2 exists in the array as well.

For example: 

  * the array [5, 3, 1] is beautiful: for a_1, the number a_1 - 2 = 3 exists in the array; for a_2, the number a_2 - 2 = 1 exists in the array; for a_3, the condition a_3 = 1 holds; 
  * the array [1, 2, 2, 2, 2] is beautiful: for a_1, the condition a_1 = 1 holds; for every other number a_i, the number a_i - 1 = 1 exists in the array; 
  * the array [1, 4] is not beautiful: for a_2, neither a_2 - 2 = 2 nor a_2 - 1 = 3 exists in the array, and a_2 ≠ 1; 
  * the array [2] is not beautiful: for a_1, neither a_1 - 1 = 1 nor a_1 - 2 = 0 exists in the array, and a_1 ≠ 1; 
  * the array [2, 1, 3] is beautiful: for a_1, the number a_1 - 1 = 1 exists in the array; for a_2, the condition a_2 = 1 holds; for a_3, the number a_3 - 2 = 1 exists in the array. 



You are given a positive integer s. Find the minimum possible size of a beautiful array with the sum of elements equal to s.

Input

The first line contains one integer t (1 ≤ t ≤ 5000) — the number of test cases.

Then t lines follow, the i-th line contains one integer s (1 ≤ s ≤ 5000) for the i-th test case.

Output

Print t integers, the i-th integer should be the answer for the i-th testcase: the minimum possible size of a beautiful array with the sum of elements equal to s.

Example

Input


4
1
8
7
42


Output


1
3
3
7

Note

Consider the example test:

  1. in the first test case, the array [1] meets all conditions; 
  2. in the second test case, the array [3, 4, 1] meets all conditions; 
  3. in the third test case, the array [1, 2, 4] meets all conditions; 
  4. in the fourth test case, the array [1, 4, 6, 8, 10, 2, 11] meets all conditions. 

import java.util.*;
import java.util.Map.Entry;
import java.lang.*;
import java.io.*;
import java.math.BigInteger;


public class CF {
	private static FS sc = new FS();
	
	private static class FS {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		StringTokenizer st = new StringTokenizer("");
		String next() {
			while (!st.hasMoreTokens())
				try {
					st=new StringTokenizer(br.readLine());				               
	            } catch (IOException e) {}
			return st.nextToken();
		}
		
		int nextInt() {
			return Integer.parseInt(next());
		}
		long nextLong() {
			return Long.parseLong(next());
		}
	}
	
	private static class extra {
		
		static int[] intArr(int size) {
			int[] a = new int[size];
			for(int i = 0; i < size; i++) a[i] = sc.nextInt();
			return a;
		}
		
		static long[] longArr(int size) {
			long[] a = new long[size];
			for(int i = 0; i < size; i++) a[i] = sc.nextLong();
			return a;
		}
		
		static long intSum(int[] a) {
			long sum = 0; 
			for(int i = 0; i < a.length; i++) {
				sum += a[i];
			}
			return sum;
		}
		
		static long longSum(long[] a) {
			long sum = 0; 
			for(int i = 0; i < a.length; i++) {
				sum += a[i];
			}
			return sum;
		}
		
		static LinkedList[] graphD(int vertices, int edges) {
			LinkedList<Integer>[] temp = new LinkedList[vertices+1];
			for(int i = 0; i <= vertices; i++) temp[i] = new LinkedList<>();
			for(int i = 0; i < edges; i++) {
				int x = sc.nextInt();
				int y = sc.nextInt();
				temp[x].add(y);
			}
			return temp;
		}
		
		static LinkedList[] graphUD(int vertices, int edges) {
			LinkedList<Integer>[] temp = new LinkedList[vertices+1];
			for(int i = 0; i <= vertices; i++) temp[i] = new LinkedList<>();
			for(int i = 0; i < edges; i++) {
				int x = sc.nextInt();
				int y = sc.nextInt();
				temp[x].add(y);
				temp[y].add(x);
			}
			return temp;
		}
		
		static void printG(LinkedList[] temp) {
			for(LinkedList<Integer> aa:temp) System.out.println(aa);
		}
		
		static long cal(long val, long pow) {
			if(pow == 0) return 1;
			long res = cal(val, pow/2);
			
//			long ret = (res*res)%mod;
//			if(pow%2 == 0) return ret;
//			return (val*ret)%mod;
			long ret = res*res;
			if(pow%2 == 0) return ret;
			return val*ret;
		}
		
		static long gcd(long a, long b) { return b == 0 ? a:gcd(b, a%b); }
		
	}
	
	static int mod = (int) 1e9 + 9;
//	static int mod = (int) 998244353;
	static int max = (int) 1e5+5, sq = 316;
	static LinkedList<Integer>[] temp;
//	static int[] par, rank;
	static int[][] ans;
	
	public static void main(String[] args) {	
		int t = sc.nextInt();
//		int t = 1;
		StringBuilder ret = new StringBuilder();
		while(t-- > 0) {
			int s = sc.nextInt()-1;
			int c = 1, temp = 2;
			while(s-temp > 0) {
				s -= temp;
				temp += 2;
				c++;
			}
			if(s-c+1 <= 0) ret.append(c + "\n");
			else ret.append((c+1) + "\n");
 		}
		System.out.println(ret);
	}
	
}