In the army, it isn't easy to form a group of soldiers that will be effective on the battlefield. The communication is crucial and thus no two soldiers should share a name (what would happen if they got an order that Bob is a scouter, if there are two Bobs?).

A group of soldiers is effective if and only if their names are different. For example, a group (John, Bob, Limak) would be effective, while groups (Gary, Bob, Gary) and (Alice, Alice) wouldn't.

You are a spy in the enemy's camp. You noticed n soldiers standing in a row, numbered 1 through n. The general wants to choose a group of k consecutive soldiers. For every k consecutive soldiers, the general wrote down whether they would be an effective group or not.

You managed to steal the general's notes, with n - k + 1 strings s1, s2, ..., sn - k + 1, each either "YES" or "NO". 

  * The string s1 describes a group of soldiers 1 through k ("YES" if the group is effective, and "NO" otherwise). 
  * The string s2 describes a group of soldiers 2 through k + 1. 
  * And so on, till the string sn - k + 1 that describes a group of soldiers n - k + 1 through n. 



Your task is to find possible names of n soldiers. Names should match the stolen notes. Each name should be a string that consists of between 1 and 10 English letters, inclusive. The first letter should be uppercase, and all other letters should be lowercase. Names don't have to be existing names — it's allowed to print "Xyzzzdj" or "T" for example.

Find and print any solution. It can be proved that there always exists at least one solution.

Input

The first line of the input contains two integers n and k (2 ≤ k ≤ n ≤ 50) — the number of soldiers and the size of a group respectively.

The second line contains n - k + 1 strings s1, s2, ..., sn - k + 1. The string si is "YES" if the group of soldiers i through i + k - 1 is effective, and "NO" otherwise.

Output

Find any solution satisfying all given conditions. In one line print n space-separated strings, denoting possible names of soldiers in the order. The first letter of each name should be uppercase, while the other letters should be lowercase. Each name should contain English letters only and has length from 1 to 10.

If there are multiple valid solutions, print any of them.

Examples

Input

8 3
NO NO YES YES YES NO


Output

Adam Bob Bob Cpqepqwer Limak Adam Bob Adam

Input

9 8
YES NO


Output

R Q Ccccccccc Ccocc Ccc So Strong Samples Ccc

Input

3 2
NO NO


Output

Na Na Na

Note

In the first sample, there are 8 soldiers. For every 3 consecutive ones we know whether they would be an effective group. Let's analyze the provided sample output:

  * First three soldiers (i.e. Adam, Bob, Bob) wouldn't be an effective group because there are two Bobs. Indeed, the string s1 is "NO". 
  * Soldiers 2 through 4 (Bob, Bob, Cpqepqwer) wouldn't be effective either, and the string s2 is "NO". 
  * Soldiers 3 through 5 (Bob, Cpqepqwer, Limak) would be effective, and the string s3 is "YES". 
  * ..., 
  * Soldiers 6 through 8 (Adam, Bob, Adam) wouldn't be effective, and the string s6 is "NO". 
/*
                   /$$$$$  /$$$$$$  /$$    /$$  /$$$$$$          
                   |__  $$ /$$__  $$| $$   | $$ /$$__  $$         
                      | $$| $$  \ $$| $$   | $$| $$  \ $$         
                      | $$| $$$$$$$$|  $$ / $$/| $$$$$$$$         
                 /$$  | $$| $$__  $$ \  $$ $$/ | $$__  $$         
                | $$  | $$| $$  | $$  \  $$$/  | $$  | $$         
                |  $$$$$$/| $$  | $$   \  $/   | $$  | $$         
                 \______/ |__/  |__/    \_/    |__/  |__/         
*/ 
import java.util.*;
import java.io.*;
import java.math.*;
import java.io.FileWriter; 
import java.io.IOException; 
public class cf{

static class Pair{
        int x;
        int y;
        Pair(int a,int b){
            x=a;
            y=b;
        
        }
    }


////////////////////////////////////**********Code-Start**********/////////////////////////////////////////////////    
public static void main(String[] args) {
    InputStream inputStream = System.in;
    OutputStream outputStream = System.out;
    if (System.getProperty("ONLINE_JUDGE") == null) {
        try {
            System.setOut(new PrintStream(
                new FileOutputStream("output.txt")));
             sc = new InputReader(new FileInputStream("input.txt"));
        }
        catch (Exception e) {
        }
        // int t=s(0);
        // while(t-->0)
            solve();
    }
     else{
        sc = new InputReader(inputStream);
        pw = new PrintWriter(outputStream);
        // int t=s(0);
        // while(t-->0) 
            solve();
        pw.close();
   }
   

}
// static ArrayList<HashSet<Integer>>arr=new ArrayList<>();
// static PriorityQueue<Integer> pq=new PriorityQueue<>();
static boolean vis[];
static int deg[];
public static void solve() {
    int n=s(0);
    int k=s(0); 
    String a[]=new String[n-k+1];
    feedArr(a);
    String ans[]=new String[n];
    ArrayList<String> arr=new ArrayList<>();
    for(int i=0;i<26;i++){
        arr.add(""+(char)(65+i));
    }
    for(int i=0;i<26;i++){
       arr.add("A"+(char)(97+i));
    }
    // System.out.println(arr);
    for(int i=0;i<k;i++){
        ans[i]=arr.get(i);
    }
    if(a[0].equals("NO")){
        ans[k-1]=ans[0];
    }
    int i=1;
    int j=k;
    int l=k;
    while(j<n)
    {
        if(a[i].equals("YES")){
            ans[j]=arr.get(k);
            k++;
        }
        else{
            ans[j]=ans[i];
        }
        i++;
        j++;
    }
    for(i=0;i<n;i++){
     System.out.print(ans[i]+" ");   
    }

}

 
////////////////////////////////////**********Code-End**********//////////////////////////////////////////////////


// Arrays.sort(a,(c,b)->(c.x==b.x)?c.y-b.y:c.x-b.x); sort the array ont the basis of y if x1==x2
// set precision --> String.format("%.df",ans);  
static int inf=Integer.MAX_VALUE;
static int minf=Integer.MIN_VALUE;
static InputReader sc;
static PrintWriter pw;
static ArrayList<ArrayList<Integer>> adj;
static int mod=1000000007;
static int mod1= 998244353;
static int max(int ...a){int m=a[0];for(int e:a)m=(m>=e)?m:e;return m;}
static int min(int ...a){int m=a[0];for(int e:a)m=(m<=e)?m:e;return m;}
static int abs(int a){return Math.abs(a);}
static long max(long ...a){long m=a[0];for(long e:a)m=(m>=e)?m:e;return m;}
static long min(long ...a){long m=a[0];for(long e:a)m=(m<=e)?m:e;return m;}
static long abs(long a){return Math.abs(a);}

static void subset(int a[],int n,ArrayList<Integer> arr){
    if(n==a.length){
        System.out.println(arr);
        return;
    }
    ArrayList<Integer> b=new ArrayList<>();
    ArrayList<Integer> c=new ArrayList<>();
    b.addAll(arr);
    c.addAll(arr);
    b.add(a[n]);
    subset(a,n+1,b);
    subset(a,n+1,c);
 }


static boolean prime[];
static int smallestFactor[];
static ArrayList<Integer> allPrimes;
static void sieveOfEratosthenes(int n)
{
    prime = new boolean[n+1];
    smallestFactor = new int[n+1];
    allPrimes=new ArrayList<>();
    smallestFactor[1] = 1;
    for(int i=2;i<n;i++) {
        prime[i] = true;
        smallestFactor[i] = i;
    }

    for(int p = 2; p*p <=n; p++)
    {
        if(prime[p])
        {
            smallestFactor[p] = p;
            for(int i = p*p; i <= n; i += p) {
                prime[i] = false;
                smallestFactor[i] = Math.min(p,smallestFactor[i]);
            }
        }
    }

    for(int i=0;i<prime.length;i++){
        if(prime[i]){
            allPrimes.add(i);
        }
    }

}
// static void initial(int n){
//    for(int i=0;i<=n;i++){
//        arr.add(new ArrayList<>());
//    }
// }
 static int numSum(int n){
  int sum=0;
  while(n!=0){
    sum+=n%10;
    n/=10;
  }
  return sum;
}
 static void sort(ArrayList<Integer> brr){
    Collections.sort(brr);
}
static void Lsort(ArrayList<Long> arr){
    Collections.sort(arr);
}
static void sort(int[] a) {
    ArrayList<Integer> l=new ArrayList<>();
    for (int i:a) l.add(i);
    Collections.sort(l);
    for (int i=0; i<a.length; i++) a[i]=l.get(i);
}
static void sort(long[] a) {
        ArrayList<Long> l=new ArrayList<>();
        for (Long i:a) l.add(i);
        Collections.sort(l);
        for (int i=0; i<a.length; i++) a[i]=l.get(i);
}


static boolean isperfect(double number)    
{   
    double sqrt=Math.sqrt(number);  
    return ((sqrt - Math.floor(sqrt)) == 0);   
}   

static boolean isPrime(long n){
    if(n<2){
        return false;
    }
    for(int i = 2; i*i<=n; i++){
        if(n%i==0){
            return false;
        }
    }
    return true;
}
static int lowerBound(int[] 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 (low < arr.length && arr[low] < element)
        return -1;
    return low;
}

static  int upperBound(int[] 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 (low<arr.length &&arr[low] <= element)
        return -1;
    return low;
}

public static String sortString(String inputString) 
{ 
    char tempArray[] = inputString.toCharArray(); 
    Arrays.sort(tempArray); 
    return new String(tempArray); 
} 

public static int ask(int l, int r){
    System.out.println("? "+l+" "+r);
    System.out.flush();
    return sc.nextInt();
}
public static void swap(char []chrr, int i, int j){
    char temp=chrr[i];
    chrr[i]=chrr[j];
    chrr[j]=temp;
}
public static void swap(int []chrr, int i, int j){
    int temp=chrr[i];
    chrr[i]=chrr[j];
    chrr[j]=temp;
}
public static int countSetBits(int n){
    int a=0;
    while(n>0){
        a+=(n&1);
        n>>=1;
    }
    return a;
}
public static boolean isPowerOfTwo(long x){
    return x!=0 && ((x&(x-1)) == 0);
}

static int gcd(int a, int b)
{
  if (b == 0)
    return a;
  return gcd(b, a % b);
}
public static int lcm(int a , int b )
{
    int gc = gcd(a,b);
    return (a/gc)*b;
}
static long fast_pow(long base,long n,long M){
    if(n==0)
       return 1;
    if(n==1)
    return base;
    long halfn=fast_pow(base,n/2,M);
    if(n%2==0)
        return ( halfn * halfn ) % M;
    else
        return ( ( ( halfn * halfn ) % M ) * base ) % M;
}
static long modInverse(long n,long M){
    return fast_pow(n,M-2,M);
}
public static String reverse(String input)
{
    StringBuilder str  = new StringBuilder("") ;

    for(int i =input.length()-1 ; i >= 0  ; i-- )
    {
        str.append(input.charAt(i));
    }

    return str.toString() ;
}

public static long nCr(int n,int k)
{
    long ans=1L;
    k=k>n-k?n-k:k;
    int j=1;
    for(;j<=k;j++,n--)
    {
        if(n%j==0)
        {
            ans*=n/j;
        }else
        if(ans%j==0)
        {
            ans=ans/j*n;
        }else
        {
            ans=(ans*n)/j;
        }
    }
    return ans;
}
public static long kadanesAlgorithm(long[] arr)
{

    if(arr.length == 0)return  0 ;
    
      long[] dp = new long[arr.length] ;
      
      dp[0] = arr[0] ;
      long max =  dp[0] ;
      
      
      for(int i = 1; i <  arr.length ; i++)
      {
            if(dp[i-1] > 0)
            {
                  dp[i] = dp[i-1] + arr[i] ;
            }
            else{
                  dp[i] = arr[i] ;
            }
            
            if(dp[i] >  max)max = dp[i] ;
            
      }
      
      return max  ;
  
}

private static int countDigits(int l) {
        if (l >= 1000000000) return 10;
        if (l >= 100000000) return 9;
        if (l >= 10000000) return 8;
        if (l >= 1000000) return 7;
        if (l >= 100000) return 6;
        if (l >= 10000) return 5;
        if (l >= 1000) return 4;
        if (l >= 100) return 3;
        if (l >= 10) return 2;
        return 1;
    }

    private static int countDigits(long l) {
        if (l >= 1000000000000000000L) return 19;
        if (l >= 100000000000000000L) return 18;
        if (l >= 10000000000000000L) return 17;
        if (l >= 1000000000000000L) return 16;
        if (l >= 100000000000000L) return 15;
        if (l >= 10000000000000L) return 14;
        if (l >= 1000000000000L) return 13;
        if (l >= 100000000000L) return 12;
        if (l >= 10000000000L) return 11;
        if (l >= 1000000000L) return 10;
        if (l >= 100000000L) return 9;
        if (l >= 10000000L) return 8;
        if (l >= 1000000L) return 7;
        if (l >= 100000L) return 6;
        if (l >= 10000L) return 5;
        if (l >= 1000L) return 4;
        if (l >= 100L) return 3;
        if (l >= 10L) return 2;
        return 1;
    }   
public static int s(int n){
    return sc.nextInt();
}
public static long s(long n){
    return sc.nextLong();
}
public static String s(String n){
    return sc.next();
}
public static double s(double n){
    return sc.nextDouble();
}
public static void p(int n){
    pw.print(n);
}
public static void p(long n){
    pw.print(n);
}
public static void p(String n){
    pw.print(n);
}
public static void p(double n){
    pw.print(n);
}
public static void pln(int n){
    pw.println(n);
}
public static void pln(long n){
    pw.println(n);
}
public static void pln(String n){
    pw.println(n);
}
public static void pln(double n){
    pw.println(n);
}
public static void feedArr(long []arr){
    for(int i=0;i<arr.length;++i)
        arr[i]=sc.nextLong();
}
public static void feedArr(double []arr){
    for(int i=0;i<arr.length;++i)
        arr[i]=sc.nextDouble();
}
public static void feedArr(int []arr){
    for(int i=0;i<arr.length;++i)
        arr[i]=sc.nextInt();
}
public static void feedArr(String []arr){
    for(int i=0;i<arr.length;++i)
        arr[i]=sc.next();
}
public static String printArr(int []arr){
    StringBuilder sbr=new StringBuilder();
    for(int i:arr)
        sbr.append(i+" ");
    return sbr.toString();
}
public  static String printArr(long []arr){
    StringBuilder sbr=new StringBuilder();
    for(long i:arr)
        sbr.append(i+" ");
    return sbr.toString();
}
public static String printArr(String []arr){
    StringBuilder sbr=new StringBuilder();
    for(String i:arr)
        sbr.append(i+" ");
    return sbr.toString();
}
public static String printArr(double []arr){
    StringBuilder sbr=new StringBuilder();
    for(double i:arr)
        sbr.append(i+" ");
    return sbr.toString();
}
static class InputReader {
    public BufferedReader reader;
    public StringTokenizer tokenizer;

    public InputReader(InputStream stream) {
        reader = new BufferedReader(new InputStreamReader(stream), 32768);
        tokenizer = null;
    }
    public String next() {
        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                tokenizer = new StringTokenizer(reader.readLine());
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }
    public int nextInt() {
        return Integer.parseInt(next());
    }
    public long nextLong() {
        return Long.parseLong(next());
    }
    public double nextDouble() {
        return Double.parseDouble(next());
    }
}
}


// smallest lcm(a,b) => a+b=n will be n/smallPrimefactor ans n-(n/smallestprimefactor).
