Ivan wants to play a game with you. He picked some string s of length n consisting only of lowercase Latin letters. 

You don't know this string. Ivan has informed you about all its improper prefixes and suffixes (i.e. prefixes and suffixes of lengths from 1 to n-1), but he didn't tell you which strings are prefixes and which are suffixes.

Ivan wants you to guess which of the given 2n-2 strings are prefixes of the given string and which are suffixes. It may be impossible to guess the string Ivan picked (since multiple strings may give the same set of suffixes and prefixes), but Ivan will accept your answer if there is at least one string that is consistent with it. Let the game begin!

Input

The first line of the input contains one integer number n (2 ≤ n ≤ 100) — the length of the guessed string s.

The next 2n-2 lines are contain prefixes and suffixes, one per line. Each of them is the string of length from 1 to n-1 consisting only of lowercase Latin letters. They can be given in arbitrary order.

It is guaranteed that there are exactly 2 strings of each length from 1 to n-1. It is also guaranteed that these strings are prefixes and suffixes of some existing string of length n.

Output

Print one string of length 2n-2 — the string consisting only of characters 'P' and 'S'. The number of characters 'P' should be equal to the number of characters 'S'. The i-th character of this string should be 'P' if the i-th of the input strings is the prefix and 'S' otherwise.

If there are several possible answers, you can print any.

Examples

Input


5
ba
a
abab
a
aba
baba
ab
aba


Output


SPPSPSPS


Input


3
a
aa
aa
a


Output


PPSS


Input


2
a
c


Output


PS

Note

The only string which Ivan can guess in the first example is "ababa".

The only string which Ivan can guess in the second example is "aaa". Answers "SPSP", "SSPP" and "PSPS" are also acceptable.

In the third example Ivan can guess the string "ac" or the string "ca". The answer "SP" is also acceptable.
// Author @ BlackRise :) //
// Birla Institute of Technology, Mesra//
import java.io.*;
import java.util.*;

public class prefixesAndsuffixes {


    static void Blackrise() {                                                //The name Blackrise is my pen name... you can change the name according to your wish

        int n = ni();

        tsc();                                                               //calculates the starting time of execution

        ArrayList<StringBuilder> ar = new ArrayList<>();
        StringBuilder s1 = new StringBuilder(), s2 = new StringBuilder();
        int freq[] = new int[26];
        for (int i = 0; i < 2 * n - 2; i++) {
            ar.add(new StringBuilder(ns()));
            freq[ar.get(i).charAt(0)-97]++;
            if (ar.get(i).length() == n - 1) {
                if (s1.length() == 0) s1 = ar.get(i);
                else s2 = ar.get(i);
            }
        }
        char ch = 'a';
        int f = freq[0];
        for (int i = 1; i < 26; i++) {
            if (freq[i] >= f) {
                ch = (char) (i + 97);
                f = freq[i];
            }
        }
        String a=s1.toString();
        String b=s2.toString();

        String c=a.concat(Character.toString(b.charAt(n-2)));
        String d=b.concat(Character.toString(a.charAt(n-2)));

        if(c.substring(0,n-1).equals(s1.toString()) && c.substring(1,n).equals(s2.toString()) && c.charAt(0)==ch)s1=new StringBuilder(c);
        else s1=new StringBuilder(d);

        //pl(s1);

        Map<String,Integer> map=new HashMap<>();
        for(int i=0;i<2*n-2;i++)
        {
            if(ar.get(i).toString().equals(s1.substring(0,ar.get(i).length())) && !map.containsKey(ar.get(i).toString())){
                pws("P");map.put(ar.get(i).toString(),1);
            }
            else pws("S");
        }
        pl();

        tec();                  //calculates the ending time of execution
       // pwt();                //prints the time taken to execute the program
    }


    /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////


    static Calendar ts, te;                                                  //For time calculation
    static int mod9 = (int) 1e9 + 7;
    static Lelo input = new Lelo(System.in);
    static PrintWriter pw = new PrintWriter(System.out, true);


    public static void main(String[] args) {                                 //threading has been used to increase the stack size.

        new Thread(null, null, "BlackRise", 100000000)  //the last parameter is stack size which is desired,
        {
            public void run() {

                try {
                    Blackrise();
                } catch (Exception e) {
                    e.printStackTrace();
                    System.exit(1);
                }
            }
        }.start();
    }

    static class Lelo {                                              //Lelo class for fast input
        private InputStream ayega;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private SpaceCharFilter filter;

        public Lelo(InputStream ayega) {
            this.ayega = ayega;
        }

        public int read() {
            if (numChars == -1)
                throw new InputMismatchException();

            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = ayega.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }

                if (numChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }

        public String nextLine() {
            BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }

        public int nextInt() {
            int c = read();

            while (isSpaceChar(c))
                c = read();

            int sgn = 1;

            if (c == '-') {
                sgn = -1;
                c = read();
            }

            int res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c));

            return res * sgn;
        }

        public long nextLong() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long res = 0;

            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            while (!isSpaceChar(c));
            return res * sgn;
        }

        public double nextDouble() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            double res = 0;
            while (!isSpaceChar(c) && c != '.') {
                if (c == 'e' || c == 'E')
                    return res * Math.pow(10, nextInt());
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            }
            if (c == '.') {
                c = read();
                double m = 1;
                while (!isSpaceChar(c)) {
                    if (c == 'e' || c == 'E')
                        return res * Math.pow(10, nextInt());
                    if (c < '0' || c > '9')
                        throw new InputMismatchException();
                    m /= 10;
                    res += (c - '0') * m;
                    c = read();
                }
            }
            return res * sgn;
        }

        public String readString() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            }
            while (!isSpaceChar(c));

            return res.toString();
        }

        public boolean isSpaceChar(int c) {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        public String next() {
            return readString();
        }

        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
        }
    }

    // functions to take input//
    static int ni() {
        return input.nextInt();
    }

    static long nl() {
        return input.nextLong();
    }

    static double nd() {
        return input.nextDouble();
    }

    static String ns() {
        return input.readString();
    }

    //functions to give output
    static void pl() {
        pw.println();
    }

    static void p(Object o) {
        pw.print(o + " ");
    }

    static void pws(Object o) {
        pw.print(o + "");
    }

    static void pl(Object o) {
        pw.println(o);
    }

    static void tsc()                                          //calculates the starting time of execution
    {
        ts = Calendar.getInstance();
        ts.setTime(new Date());
    }

    static void tec()                                          //calculates the ending time of execution
    {
        te = Calendar.getInstance();
        te.setTime(new Date());
    }

    static void pwt()                                          //prints the time taken for execution
    {
        pw.printf("\nExecution time was :- %f s\n", (te.getTimeInMillis() - ts.getTimeInMillis()) / 1000.00);
    }
}

