Problem: We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive divisors.

You are given an array of n positive integers. For each of them determine whether it is Т-prime or not.

Input

The first line contains a single positive integer, n (1 ≤ n ≤ 105), showing how many numbers are in the array. The next line contains n space-separated integers xi (1 ≤ xi ≤ 1012).

Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is advised to use the cin, cout streams or the %I64d specifier.

Output

Print n lines: the i-th line should contain "YES" (without the quotes), if number xi is Т-prime, and "NO" (without the quotes), if it isn't.

Examples

Input

3
4 5 6


Output

YES
NO
NO

Note

The given test has three numbers. The first number 4 has exactly three divisors — 1, 2 and 4, thus the answer for this number is "YES". The second number 5 has two divisors (1 and 5), and the third number 6 has four divisors (1, 2, 3, 6), hence the answer for them is "NO".

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;


public class scratch_25 {
    //static long count=0;
    static class Reader {
        static BufferedReader reader;
        static StringTokenizer tokenizer;

        /**
         * call this method to initialize reader for InputStream
         */
        static void init(InputStream input) {
            reader = new BufferedReader(
                    new InputStreamReader(input));
            tokenizer = new StringTokenizer("");
        }

        /**
         * get next word
         */
        static String next() throws IOException {
            while (!tokenizer.hasMoreTokens()) {
                //TODO add check for eof if necessary
                tokenizer = new StringTokenizer(
                        reader.readLine());
            }
            return tokenizer.nextToken();
        }

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

        static double nextDouble() throws IOException {
            return Double.parseDouble(next());
        }

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

    public static class Graph{
        public static class Vertex{
            HashMap<Integer,Integer> nb= new HashMap<>();     // for neighbours of each vertex
        }

        public static HashMap<Integer,Vertex> vt;   // for vertices(all)

        public Graph(){
            vt= new HashMap<>();
        }

        public static int numVer(){
            return vt.size();
        }

        public static boolean contVer(int ver){
            return vt.containsKey(ver);
        }

        public static void addVer(int ver){
            Vertex v= new Vertex();
            vt.put(ver,v);
        }

        public static int numEdg(){
            int count=0;
            ArrayList<Integer> vrtc= new ArrayList<>(vt.keySet());
            for (int i = 0; i <vrtc.size() ; i++) {
                count+=(vt.get(vrtc.get(i))).nb.size();
            }
            return count/2;
        }

        public static boolean contEdg(int ver1, int ver2){
            if(vt.get(ver1)==null || vt.get(ver2)==null){
                return false;
            }

            Vertex v= vt.get(ver1);
            if(v.nb.containsKey(ver2)){
                return true;
            }
            return false;
        }

        public static void addEdge(int ver1, int ver2, int weight){
            if(!vt.containsKey(ver1) || !vt.containsKey(ver2)){
                return;
            }
            Vertex v1= vt.get(ver1);
            Vertex v2= vt.get(ver2);
            v1.nb.put(ver2,weight);                                 // if previously there is an edge, then this replaces that edge
            v2.nb.put(ver1,weight);
        }

        public static void delEdge(int ver1, int ver2){

            if(!vt.containsKey(ver1) || !vt.containsKey(ver2)){
                return;
            }

            vt.get(ver1).nb.remove(ver2);
            vt.get(ver2).nb.remove(ver1);

        }

        public static void delVer(int ver){
            if(!vt.containsKey(ver)){
                return;
            }
            Vertex v1= vt.get(ver);
            ArrayList<Integer> arr= new ArrayList<>(v1.nb.keySet());
            for (int i = 0; i <arr.size() ; i++) {
                int s= arr.get(i);
                vt.get(s).nb.remove(ver);
            }
            vt.remove(ver);
        }

        public class Pair{
            int vname;
            ArrayList<Integer> psf= new ArrayList<>();       // path so far
            int dis;
            int col;
        }









        public HashMap<Integer,Integer> bfs(int src){
            HashMap<Integer, Boolean> prcd= new HashMap<>();    // jo jo ho chuke hain unke liye

            HashMap<Integer, Integer> ans= new HashMap<>();

            LinkedList<Pair> queue= new LinkedList<>();      // for bfs queue

            Pair strtp= new Pair();

            strtp.vname= src;

            ArrayList<Integer> ar= new ArrayList<>();
            ar.add(src);

            strtp.psf= ar;
            strtp.dis=0;

            queue.addLast(strtp);

            while(!queue.isEmpty()){

                Pair rp =  queue.removeFirst();

                if(prcd.containsKey(rp.vname)){
                    continue;
                }
                prcd.put(rp.vname,true);
                ans.put(rp.vname,rp.dis);

//                if(contEdg(rp.vname,dst)){
//                    return true;
//                }

                Vertex a= vt.get(rp.vname);
                ArrayList<Integer> arr= new ArrayList<>(a.nb.keySet());
                for (int i = 0; i <arr.size() ; i++) {
                    int s= arr.get(i);
                    if(!prcd.containsKey(s)){
                        Pair np = new Pair();
                        np.vname= s;
                        np.dis+=rp.dis+a.nb.get(s);
                        np.psf.addAll(rp.psf);
                        np.psf.add(s);
//                        np.psf.add(s);
//                         np.psf= rp.psf+" "+s;
                        queue.addLast(np);
                    }

                }
            }
            return ans;

            //   return false;
        }








        public HashMap<Integer,Integer> dfs(int src){
            HashMap<Integer, Boolean> prcd= new HashMap<>();    // jo jo ho chuke hain unke liye

            HashMap<Integer, Integer> ans= new HashMap<>();

            LinkedList<Pair> stack= new LinkedList<>();      // for bfs queue

            Pair strtp= new Pair();

            strtp.vname= src;

            ArrayList<Integer> ar= new ArrayList<>();
            ar.add(src);

            strtp.psf= ar;
            strtp.dis=0;

            stack.addFirst(strtp);

            while(!stack.isEmpty()){

                Pair rp =  stack.removeFirst();

                if(prcd.containsKey(rp.vname)){
                    continue;
                }
                prcd.put(rp.vname,true);
                ans.put(rp.vname,rp.dis);

//                if(contEdg(rp.vname,dst)){
//                    return true;
//                }

                Vertex a= vt.get(rp.vname);
                ArrayList<Integer> arr= new ArrayList<>(a.nb.keySet());
                for (int i = 0; i <arr.size() ; i++) {
                    int s= arr.get(i);
                    if(!prcd.containsKey(s)){
                        Pair np = new Pair();
                        np.vname= s;
                        np.dis+=rp.dis+a.nb.get(s);
                        np.psf.addAll(rp.psf);
                        np.psf.add(s);
//                        np.psf.add(s);
//                         np.psf= rp.psf+" "+s;
                        stack.addFirst(np);
                    }

                }
            }
            return ans;

            //   return false;
        }






        public boolean isCycle(){
            HashMap<Integer, Boolean> prcd= new HashMap<>();    // jo jo ho chuke hain unke liye

            //   HashMap<Integer, Integer> ans= new HashMap<>();

            LinkedList<Pair> queue= new LinkedList<>();      // for bfs queue



            ArrayList<Integer> keys = new ArrayList<>(vt.keySet());
            for (int i = 0; i <keys.size(); i++) {
                int cur= keys.get(i);
                if(prcd.containsKey(cur)){
                    continue;
                }

                Pair sp = new Pair();
                sp.vname= cur;
                ArrayList<Integer> as= new ArrayList<>();
                as.add(cur);
                sp.psf= as;

                queue.addLast(sp);

                while(!queue.isEmpty()){




                    Pair rp= queue.removeFirst();
                    if(prcd.containsKey(rp.vname)){
                        return true;
                    }

                    prcd.put(rp.vname,true);




                    Vertex v1= vt.get(rp.vname);
                    ArrayList<Integer> nbrs= new ArrayList<>(v1.nb.keySet());
                    for (int j = 0; j <nbrs.size() ; j++) {
                        int u= nbrs.get(j);
                        Pair np= new Pair();
                        np.vname= u;
                        queue.addLast(np);
                    }
                }

            }
            return false;
        }






        public  ArrayList<ArrayList<Integer>> genConnctdComp(){
            HashMap<Integer, Boolean> prcd= new HashMap<>();    // jo jo ho chuke hain unke liye

            ArrayList<ArrayList<Integer>> ans= new ArrayList<>();

            //   HashMap<Integer, Integer> ans= new HashMap<>();

            LinkedList<Pair> queue= new LinkedList<>();      // for bfs queue

            //  int con=-1;

            ArrayList<Integer> keys = new ArrayList<>(vt.keySet());
            for (int i = 0; i <keys.size(); i++) {
                int cur= keys.get(i);
                if(prcd.containsKey(cur)){
                    //return true;
                    continue;
                }
                ArrayList<Integer> fu= new ArrayList<>();
                fu.add(cur);


                Pair sp = new Pair();
                sp.vname= cur;
                ArrayList<Integer> as= new ArrayList<>();
                as.add(cur);
                sp.psf= as;

                queue.addLast(sp);

                while(!queue.isEmpty()){




                    Pair rp= queue.removeFirst();
                    if(prcd.containsKey(rp.vname)){
                        //return true;
                        continue;
                    }

                    prcd.put(rp.vname,true);
                    fu.add(cur);



                    Vertex v1= vt.get(rp.vname);
                    ArrayList<Integer> nbrs= new ArrayList<>();
                    for (int j = 0; j <nbrs.size() ; j++) {
                        int u= nbrs.get(j);
                        Pair np= new Pair();
                        np.vname= u;
                        queue.addLast(np);
                    }
                }
                ans.add(fu);

            }
            //return false;
            return ans;

        }

        public boolean isBip(int src){                       // only for connected graph

            HashMap<Integer,Integer> clr= new HashMap<>();
            // colors are 1 and -1


            LinkedList<Integer>q = new LinkedList<Integer>();
            clr.put(src,1);
            q.add(src);


            while(!q.isEmpty()){

                int u = q.getFirst();
                q.pop();

                ArrayList<Integer> arr= new ArrayList<>(vt.keySet());

                for (int i = 0; i <arr.size() ; ++i) {

                    int x= arr.get(i);

                    if(vt.get(u).nb.containsKey(x) && !clr.containsKey(x)){

                        if(clr.get(u)==1){
                            clr.put(x,-1);
                        }
                        else{
                            clr.put(x,1);
                        }
                        q.push(x);
                    }

                    else if(vt.get(u).nb.containsKey(x) && (clr.get(x)==clr.get(u))){
                        return false;
                    }

                }
            }
            return true;
        }

















        public static void printGr() {
            ArrayList<Integer> arr= new ArrayList<>(vt.keySet());
            for (int i = 0; i <arr.size() ; i++) {
                int ver= arr.get(i);
                Vertex v1= vt.get(ver);
                ArrayList<Integer> arr1= new ArrayList<>(v1.nb.keySet());
                for (int j = 0; j <arr1.size() ; j++) {
                    System.out.println(ver+"-"+arr1.get(j)+":"+v1.nb.get(arr1.get(j)));
                }

            }
        }
    }

    static class Cus implements Comparable<Cus>{
        int size;
        int mon;
        int num;
        public Cus(int size,int mon,int num){
            this.size=size;
            this.mon=mon;
            this.num=num;
        }
        @Override
        public int compareTo(Cus o){
            if(this.mon!=o.mon){
            return this.mon-o.mon;}

            else{
                return o.size-this.size;
            }

        }



    }

    static class Table implements Comparable<Table>{
        int size;
        int num;
        public Table(int size,int num){
            this.size=size;
            this.num=num;
        }
        @Override
        public int compareTo(Table o){
            return this.size-o.size;
        }


    }






    public static void main(String[] args)  throws IOException {
        Reader.init(System.in);
        BufferedWriter out = new BufferedWriter(new OutputStreamWriter(System.out));
     int n= Reader.nextInt();
     ArrayList<Integer> arr= Sieve(1000000+1);
     long ar[]= new long[arr.size()];
        for (int i = 0; i <arr.size() ; i++) {
            ar[i]= arr.get(i);
        }
       // System.out.println(Arrays.toString(ar));

     //long arr[]= new long[n];
        for (int i = 0; i <n ; i++) {
            long x= Reader.nextLong();
            double d1= Math.sqrt(x);
            if((d1-(int)d1) !=0){
                System.out.println("NO");
            }
            else{
                long a= (long)d1;
              //  System.out.println(a);
                if(Arrays.binarySearch(ar,a)<0){
                    System.out.println("NO");
                }
                else{
                    System.out.println("YES");
                }










            }












        }














        }


















      



    static long gcd(long a, long b)
    {
        if (a == 0)
            return b;
        return gcd(b % a, a);
    }



    static long gcd1(long a, long b)
    {

        // Everything divides 0
        if (a == 0)
            return b;
        if (b == 0)
            return a;

        // base case
        if (a == b)
            return a;

        // a is greater
        //count++;
        if (a > b){
            return gcd(a-b, b);

        }
        return gcd(a, b-a);
    }





    // method to return LCM of two numbers
    static long lcm(long a, long b)
    {
        return (a*b)/gcd(a, b);
    }

    // Driver method

    static int partition(long arr[],long arr1[], int low, int high)
    {
        long pivot = arr[high];
        int i = (low-1); // index of smaller element
        for (int j=low; j<high; j++)
        {
            // If current element is smaller than the pivot
            if (arr[j] < pivot)
            {
                i++;

                // swap arr[i] and arr[j]
                long temp = arr[i];
                arr[i] = arr[j];
                arr[j] = temp;
                long temp1=arr1[i];
                arr1[i]=arr1[j];
                arr1[j]=temp1;

            }
        }

        // swap arr[i+1] and arr[high] (or pivot)
        long temp = arr[i+1];
        arr[i+1] = arr[high];
        arr[high] = temp;
        long temp1= arr1[i+1];
        arr1[i+1]=arr1[high];
        arr1[high]= temp1;

        return i+1;
    }


    /* The main function that implements QuickSort()
      arr[] --> Array to be sorted,
      low  --> Starting index,
      high  --> Ending index */
    static void sort(long arr[],long arr1[], int low, int high)
    {
        if (low < high)
        {
            /* pi is partitioning index, arr[pi] is
              now at right place */
            int pi = partition(arr,arr1, low, high);

            // Recursively sort elements before
            // partition and after partition
            sort(arr,arr1, low, pi-1);
            sort(arr,arr1, pi+1, high);
        }
    }







































































    public static ArrayList<Integer> Sieve(int n) {
        boolean arr[]= new boolean [n+1];
        Arrays.fill(arr,true);
        arr[0]=false;
        arr[1]=false;
        for (int i = 2; i*i <=n ; i++) {
            if(arr[i]==true){
                for (int j = 2; j <=n/i ; j++) {
                    int u= i*j;
                    arr[u]=false;
                }}
        }
        ArrayList<Integer> ans= new ArrayList<>();
        for (int i = 0; i <n+1 ; i++) {
            if(arr[i]){
                ans.add(i);
            }
        }
        return ans;










    }





}