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.io.*;import java.lang.*;import java.util.*;
//* --> number of prime numbers less then or equal to x are  -->  x/ln(x)
//* --> String concatenation using the + operator within a loop should be avoided. Since the String object is immutable, each call for concatenation will
// result in a new String object being created.
// THE SIEVE USED HERE WILL RETURN A LIST CONTAINING ALL THE PRIME NUMBERS TILL N
 public class c {static class FastScanner {InputStreamReader is;BufferedReader br;StringTokenizer st;
public FastScanner() {is = new InputStreamReader(System.in);br = new BufferedReader(is);}
String next() throws Exception {while (st == null || !st.hasMoreElements())st = new StringTokenizer(br.readLine());
return st.nextToken();}int nextInt() throws Exception {return Integer.parseInt(next());}long nextLong() throws Exception {
return Long.parseLong(next());}int[] readArray(int num) throws Exception {int arr[]=new int[num];
for(int i=0;i<num;i++)arr[i]=nextInt();return arr;}String nextLine() throws Exception {return br.readLine();
}} public static boolean power_of_two(int a){if((a&(a-1))==0){ return true;}return false;}
static boolean PS(double x){if (x >= 0) {double i= Math.sqrt(x);if(i%1!=0){
return false;}return ((i * i) == x);}return false;}public static int[] ia(int n){int ar[]=new int[n];
return ar;}public static long[] la(int n){long ar[]=new long[n];return ar;}
public static void print(int ans,int t){System.out.println("Case"+" "+"#"+t+":"+" "+ans);}
static long mod=1000000007;static int max=Integer.MIN_VALUE;static int min=Integer.MAX_VALUE;
public static void sort(long[] arr){//because Arrays.sort() uses quicksort which is dumb
//Collections.sort() uses merge sort
ArrayList<Long> ls = new ArrayList<Long>();for(long x: arr)ls.add(x);Collections.sort(ls);
for(int i=0; i < arr.length; i++)arr[i] = ls.get(i);}public static long fciel(long a, long b) {if (a == 0)  return 0;return (a - 1) / b + 1;}
 static boolean[] is_prime = new boolean[1000001];static ArrayList<Integer> list = new ArrayList<>();
static long n = 1000000;public static void sieve() {Arrays.fill(is_prime, true);
is_prime[0] = is_prime[1] = false;for (int i = 2; i * i <= n; i++) {
if (is_prime[i]) {for (int j = i * i; j <= n; j += i)is_prime[j] = false;}}for (int i = 2; i <= n; i++) {
if (is_prime[i]) {list.add(i);}}}
public static void main(String args[]) throws java.lang.Exception {
        FastScanner sc = new FastScanner();
int t=sc.nextInt();
while(t-->0)
{
    int n=sc.nextInt();
    int count=1;
    int x=2;
    int sum=1;
    int dif=0;
    while(sum<n)
    {
        count++;
        sum+=x;
        x+=2;
        dif=n-sum;
        if(x>dif)
        {
            break;
        }
    }
 if(dif > count-1)
 {
     count++;
 }

    System.out.println(count);
        }}}