Problem: On the well-known testing system MathForces, a draw of n rating units is arranged. The rating will be distributed according to the following algorithm: if k participants take part in this event, then the n rating is evenly distributed between them and rounded to the nearest lower integer, At the end of the drawing, an unused rating may remain — it is not given to any of the participants.

For example, if n = 5 and k = 3, then each participant will recieve an 1 rating unit, and also 2 rating units will remain unused. If n = 5, and k = 6, then none of the participants will increase their rating.

Vasya participates in this rating draw but does not have information on the total number of participants in this event. Therefore, he wants to know what different values of the rating increment are possible to get as a result of this draw and asks you for help.

For example, if n=5, then the answer is equal to the sequence 0, 1, 2, 5. Each of the sequence values (and only them) can be obtained as ⌊ n/k ⌋ for some positive integer k (where ⌊ x ⌋ is the value of x rounded down): 0 = ⌊ 5/7 ⌋, 1 = ⌊ 5/5 ⌋, 2 = ⌊ 5/2 ⌋, 5 = ⌊ 5/1 ⌋.

Write a program that, for a given n, finds a sequence of all possible rating increments.

Input

The first line contains integer number t (1 ≤ t ≤ 10) — the number of test cases in the input. Then t test cases follow.

Each line contains an integer n (1 ≤ n ≤ 10^9) — the total number of the rating units being drawn.

Output

Output the answers for each of t test cases. Each answer should be contained in two lines.

In the first line print a single integer m — the number of different rating increment values that Vasya can get.

In the following line print m integers in ascending order — the values of possible rating increments.

Example

Input


4
5
11
1
3


Output


4
0 1 2 5 
6
0 1 2 3 5 11 
2
0 1 
3
0 1 3 

Solution (in JAVA):

Solution:
import static java.lang.Integer.parseInt;
import static java.lang.Long.parseLong;
import static java.lang.Short.parseShort;
import static java.lang.Byte.parseByte;
import java.io.*;
import java.util.*;

public class Contest {

    static int nextInt() throws IOException {
        return parseInt(next());
    }

    static long nextLong() throws IOException {
        return parseLong(next());
    }

    static short nextShort() throws IOException {
        return parseShort(next());
    }

    static byte nextByte() throws IOException {
        return parseByte(next());
    }

    static String next() throws IOException {
        while (tok == null || !tok.hasMoreTokens())
            tok = new StringTokenizer(in.readLine());
        return tok.nextToken();
    }

    static String nextLine() throws IOException {
        return in.readLine();
    }

    private static BufferedReader in;
    private static StringTokenizer tok;
    private static PrintWriter out = new PrintWriter(System.out);
    private static Utilities doThis = new Utilities(out);
    private static MyMath doMath = new MyMath();
    private static NextPermutation permute = new NextPermutation();

    public static void main(String[] args) throws Exception {
        in = new BufferedReader(new InputStreamReader(System.in));

        /*--------------------SolutionStarted-------------------*/
        solve();
        /*--------------------SolutionEnded--------------------*/

        in.close();
        out.close();
    }

    static int n, m, k,
            count = 0, length = 0, sum = 0,
            q, t,
            idx, temp;
    static char[] s, s1;
    static int max = Integer.MIN_VALUE, min = Integer.MAX_VALUE;
    static long lMax = Long.MAX_VALUE, lMin = Long.MIN_VALUE, lSum = 0, lCount;
    static int[] nums;
    static boolean flag;

    static void solve() throws IOException {
        int t = nextInt();
        while(t-->0){
            int sqr = (int)Math.sqrt(n=nextInt());
            ArrayList<Integer> list = new ArrayList<>(sqr*2);
            for (int i = 1; i <=sqr ; i++) {
                list.add(i);
                m = n/i;
                if (m==i)
                    continue;
                list.add(m);
            }
            list.add(0);
            Collections.sort(list);
            out.println(list.size());
            int size = list.size();
            for (int i = 0; i <size ; i++) {
                out.print(list.get(i)+" ");
            }
            out.println();
        }
    }
}
class Pair implements Comparable<Pair>{
    int k,v;
    boolean taken;
    Pair(int k,int v){
        this.k = k;
        this.v =v;
    }

    @Override
    public int compareTo(Pair o) {
        return v-o.v;
    }
}
class CharPair{
    char ch;
    int value;
    CharPair(char c, int v){
        ch =c; value=v;
    }
    char get(){
        return ch;
    }
}
class IntPair implements Comparable<IntPair> {
    int key, value;
    IntPair(int key, int value) {
        this.key =  key;
        this.value = value;
    }

    @Override
    public int compareTo(IntPair o) {
        if (value == o.value)
            return key - o.key;
        return value - o.value;
    }

    public String toString() {
        return key + " " + value;
    }
}
class BooleanPair {
    boolean key, value;

    BooleanPair() {
    }

    BooleanPair(boolean key, boolean value) {
        this.key = key;
        this.value = value;
    }
}
class Utilities {
    PrintWriter out;
    Utilities(PrintWriter out){
        this.out = out;
    }
    //int arrays start
    int lowerBound(int[] arr, int low, int high, int element) {
        int middle;
        while (low < high) {
            middle = low + (high - low) / 2;
            if (element > arr[middle])
                low = middle + 1;
            else
                high = middle;
        }
        if (arr[low] < element)
            return -1;
        return low;
    }

    int upperBound(int[] arr, int low, int high, int element) {
        int middle;
        while (low < high) {
            middle = low + (high - low) / 2;
            if (arr[middle] > element)
                high = middle;
            else
                low = middle + 1;
        }
        if (arr[low] <= element)
            return -1;
        return low;
    }
    //int arrays end
    //long arrays start
    int lowerBound(long[] arr, int low, int high, long element) {
        int middle;
        while (low < high) {
            middle = low + (high - low) / 2;
            if (element > arr[middle])
                low = middle + 1;
            else
                high = middle;
        }
        if (arr[low] < element)
            return -1;
        return low;
    }

    int upperBound(long[] arr, int low, int high, long element) {
        int middle;
        while (low < high) {
            middle = low + (high - low) / 2;
            if (arr[middle] > element)
                high = middle;
            else
                low = middle + 1;
        }
        if (arr[low] <= element)
            return -1;
        return low;
    }
    //long arrays end
    //double arrays start
    int lowerBound(double[] arr, int low, int high, double element) {
        int middle;
        while (low < high) {
            middle = low + (high - low) / 2;
            if (element > arr[middle])
                low = middle + 1;
            else
                high = middle;
        }
        if (arr[low] < element)
            return -1;
        return low;
    }

    int upperBound(double[] arr, int low, int high, double element) {
        int middle;
        while (low < high) {
            middle = low + (high - low) / 2;
            if (arr[middle] > element)
                high = middle;
            else
                low = middle + 1;
        }
        if (arr[low] <= element)
            return -1;
        return low;
    }
    //double arrays end
    int arrUp(int [][]arr,int i, int j){
        if(i==0)
            return Integer.MIN_VALUE;
        return arr[i-1][j];
    }
    int arrDown(int [][]arr,int i, int j){
        if(i==arr.length-1)
            return Integer.MIN_VALUE;
        return arr[i+1][j];
    }
    int arrLeft(int [][]arr,int i, int j){
        if(j==0)
            return Integer.MIN_VALUE;
        return arr[i][j-1];
    }
    int arrRight(int [][]arr,int i, int j){
        if(j==arr[i].length-1)
            return Integer.MIN_VALUE;
        return arr[i][j+1];
    }
    //////////////////

    char arrUp(char [][]arr,int i, int j){
        if(i<=0)
            return '\0';
        return arr[i-1][j];
    }
    char arrDown(char [][]arr,int i, int j){
        if(i>=arr.length-1)
            return '\0';
        return arr[i+1][j];
    }
    char arrLeft(char [][]arr,int i, int j){
        if(j<=0)
            return '\0';
        return arr[i][j-1];
    }
    char arrRight(char [][]arr,int i, int j){
        if(j>=arr[i].length-1)
            return '\0';
        return arr[i][j+1];
    }
    int count(char[] s, char c){
        int count = 0;
        for (int i = 0; i < s.length; i++) {
            if (s[i]==c)
                count++;
        }
        return count;
    }
    void swap(char[] s, int a,int b){
        char temp =s[b];
        s[b]= s[a];
        s[a] = temp;
    }
    boolean odd(int a){
        return (a&1)==1;
    }
    boolean even(int a){
        return (a&1)==0;
    }
    void yes(){
        out.println("YES");
    }
    void no() {
        out.println("NO");
    }
    void bad(){
        out.println(-1);
    }
    void printBinary(int num){
        out.println(Integer.toBinaryString(num));
    }

    void printArr(int arr[]){
        for (int i = 0; i <arr.length ; i++) {
            out.print(arr[i]+" ");
        }
    }
}
class MyMath {
    boolean isCoPrime(int a, int b) {
        return gcd(a, b) == 1;
    }

    int gcd(int a, int b) {
        if (a == 0)
            return b;
        while (b != 0)
            if (a > b)
                a = a - b;
            else
                b = b - a;
        return a;
    }

    int log2(int x) {
        return (int) (Math.log(x) / Math.log(2));
    }
    boolean[] sieveOfEratosthenes(int n) {
        // Create a boolean array "primes[0..n]" and initialize
        // all entries it as true. A value in primes[i] will
        // finally be false if i is Not a primes, else true.
        boolean primes[] = new boolean[n+1];
        for(int i=0;i<n;i++)
            primes[i] = true;

        for(int p = 2; p*p <=n; p++)
        {
            // If primes[p] is not changed, then it is a primes
            if(primes[p])
            {
                // Update all multiples of p
                for(int i = p*p; i <= n; i += p)
                    primes[i] = false;
            }
        }
        return primes;
    }
}
class NextPermutation {

    // Function to swap the data
    // present in the left and right indices
    private int[] swap(int data[], int left, int right) {

        // Swap the data
        int temp = data[left];
        data[left] = data[right];
        data[right] = temp;

        // Return the updated array
        return data;
    }

    // Function to reverse the sub-array
    // starting from left to the right
    // both inclusive
    private int[] reverse(int data[], int left, int right) {

        // Reverse the sub-array
        while (left < right) {
            int temp = data[left];
            data[left++] = data[right];
            data[right--] = temp;
        }

        // Return the updated array
        return data;
    }

    // Function to find the next permutation
    // of the given integer array
    boolean findNextPermutation(int data[]) {

        // If the given data-set is empty
        // or contains only one element
        // next_permutation is not possible
        if (data.length <= 1)
            return false;

        int last = data.length - 2;

        // find the longest non-increasing suffix
        // and find the pivot
        while (last >= 0) {
            if (data[last] < data[last + 1]) {
                break;
            }
            last--;
        }

        // If there is no increasing pair
        // there is no higher order permutation
        if (last < 0)
            return false;

        int nextGreater = data.length - 1;

        // Find the rightmost successor to the pivot
        for (int i = data.length - 1; i > last; i--) {
            if (data[i] > data[last]) {
                nextGreater = i;
                break;
            }
        }

        // Swap the successor and the pivot
        data = swap(data, nextGreater, last);

        // Reverse the suffix
        data = reverse(data, last + 1, data.length - 1);

        // Return true as the next_permutation is done
        return true;
    }
}