Problem:
Score : 200 points

Problem Statement

You are given strings s and t, consisting of lowercase English letters.
You will create a string s' by freely rearranging the characters in s.
You will also create a string t' by freely rearranging the characters in t.
Determine whether it is possible to satisfy s' < t' for the lexicographic order.

Notes

For a string a = a_1 a_2 ... a_N of length N and a string b = b_1 b_2 ... b_M of length M, we say a < b for the lexicographic order if either one of the following two conditions holds true:

N < M and a_1 = b_1, a_2 = b_2, ..., a_N = b_N.

There exists i (1 \leq i \leq N, M) such that a_1 = b_1, a_2 = b_2, ..., a_{i - 1} = b_{i - 1} and a_i < b_i. Here, letters are compared using alphabetical order.

For example, xy < xya and atcoder < atlas.

Constraints

The lengths of s and t are between 1 and 100 (inclusive).

s and t consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:

s
t

Output

If it is possible to satisfy s' < t', print Yes; if it is not, print No.

Sample Input 1

yx
axy

Sample Output 1

Yes

We can, for example, rearrange yx into xy and axy into yxa. Then, xy < yxa.

Sample Input 2

ratcode
atlas

Sample Output 2

Yes

We can, for example, rearrange ratcode into acdeort and atlas into tslaa. Then, acdeort < tslaa.

Sample Input 3

cd
abc

Sample Output 3

No

No matter how we rearrange cd and abc, we cannot achieve our objective.

Sample Input 4

w
ww

Sample Output 4

Yes

Sample Input 5

zzz
zzz

Sample Output 5

No

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Linq;
using System.Text.RegularExpressions;
using System.Collections.Generic;
using static System.Console;
using static Program.Input;
using static Program.MyMath;
using static Program.Const;

namespace Program
{
    static class Const
    {
        public static string alp = "abcdefghijklmnopqrstuvwxyz";
        public static string Alp = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
        public const long MOD = 1000000007;
        public static int INF = int.MaxValue;
        public static long INFL = long.MaxValue;
    }
    public class Program
    {
        public static void Main()
        {
          var s = ReadLine();
          var t = ReadLine();
          
          var s2 = s.ToCharArray();
          Array.Sort(s2);
          var t2 = t.ToCharArray();
          Array.Sort(t2);
          Array.Reverse(t2);
          var s3 = new string(s2);
          var t3 = new string(t2);
          WriteLine(s3.CompareTo(t3) < 0 ? "Yes" : "No");
        }
    }
    static class Input
    {
        public static void InputLine(out int a, out int b) { var input = ScanIntArray(); a = input[0]; b = input[1]; }
        public static void InputLine(out int a, out int b, out int c) { var input = ScanIntArray(); a = input[0]; b = input[1]; c = input[2]; }
        public static void InputLine(out int a, out int b, out int c, out int d) { var input = ScanIntArray(); a = input[0]; b = input[1]; c = input[2]; d = input[3]; }

        public static void InputLine(out long a, out long b) { var input = ScanLongArray(); a = input[0]; b = input[1]; }
        public static void InputLine(out long a, out long b, out long c) { var input = ScanLongArray(); a = input[0]; b = input[1]; c = input[2]; }
        public static void InputLine(out long a, out long b, out long c, out long d) { var input = ScanLongArray(); a = input[0]; b = input[1]; c = input[2]; d = input[3]; }

        public static void InputLine(out string a, out string b) { var input = ScanStrArray(); a = input[0]; b = input[1]; }

        public static int ScanInt() { return int.Parse(ReadLine()); }
        static public uint ScanUint() { return uint.Parse(ReadLine()); }
        static public double ScanDouble() { return double.Parse(ReadLine()); }
        static public long ScanLong() { return long.Parse(ReadLine()); }
        static public ulong ScanUlong() { return ulong.Parse(ReadLine()); }
        static public int[] ScanIntArray() { return ReadLine().Split().Select(x => int.Parse(x)).ToArray(); }
        static public uint[] ScanUintArray() { return ReadLine().Split().Select(x => uint.Parse(x)).ToArray(); }
        static public double[] ScanDoubleArray() { return ReadLine().Split().Select(x => double.Parse(x)).ToArray(); }
        static public long[] ScanLongArray() { return ReadLine().Split().Select(x => long.Parse(x)).ToArray(); }
        static public ulong[] ScanUlongArray() { return ReadLine().Split().Select(x => ulong.Parse(x)).ToArray(); }

        static public string ScanStr() { return ReadLine(); }
        static public string[] ScanStrArray() { return ScanStr().Split(); }
        static public string RegaxReplace(this string arg1, string pattern, string replacement) { return Regex.Replace(arg1, pattern, replacement); }
    }
    static class MyMath
    {
        static public int CountBit(this long a) { if (a == 0) return 0; int c = 1; for (; a > 1; a /= 2) if (a % 2 == 1) c++; return c; }
        static public int Floor2(this int a) { int N = 1; while (N < a) N *= 2; return N / 2; }
        static public long Floor2(this long a) { long N = 1; while (N < a) N *= 2; return N / 2; }
        static public int Ceiling2(this int a) { int N = 1; while (N < a) N *= 2; return N; }
        static public long Ceiling2(this long a) { long N = 1; while (N < a) N *= 2; return N; }
        static public long[] CumSum(this long[] a) { var res = new long[a.Length]; long s = 0; for (int i = 0; i < a.Length; i++) res[i] = (s += a[i]); return res; }
        static public IEnumerable<int> PrimeFactors(this int n)
        {
            int tmp = n;
            for (int i = 2; i * i <= n; i++) while (tmp % i == 0) { tmp /= i; yield return i; }
            if (tmp != 1) yield return tmp;
        }
        static public IEnumerable<long> PrimeFactors(this long n)
        {
            var tmp = n;
            for (long i = 2; i * i <= n; i++) while (tmp % i == 0) { tmp /= i; yield return i; }
            if (tmp != 1) yield return tmp;
        }
        static public int Digit(this int n, int d) { if (d < 0) return 0; return (n % (int)Math.Pow(10, d + 1)) / (int)Math.Pow(10, d); }
        static public int Length(this int n) { if (n < 0) return 0; return (int)Math.Log10(n) + 1; }
        static public int Top(this int n) { return n.Digit(n.Length() - 1); }
        public static bool isPrime(this int p)
        {
            if (p <= 1) return false;
            for (int i = 2; i * i <= p; i++) if (p % i == 0) return false;
            return true;
        }
        public static bool isPrime(this long p)
        {
            if (p <= 1) return false;
            for (long i = 2; i * i <= p; i++) if (p % i == 0) return false;
            return true;
        }
        public static int GCD(int a, int b)
        {
            Func<int, int, int> gcd = null;
            gcd = (x, y) => y == 0 ? x : gcd(y, x % y);
            return a > b ? gcd(a, b) : gcd(b, a);
        }
        public static long GCD(long a, long b)
        {
            Func<long, long, long> gcd = null;
            gcd = (x, y) => y == 0 ? x : gcd(y, x % y);
            return a > b ? gcd(a, b) : gcd(b, a);
        }
        public static ulong extGCD(ulong a, ulong b, ref ulong x, ref ulong y)
        {
            if (b == 0) { x = 1; y = 0; return a; }
            var d = extGCD(b, a % b, ref y, ref x);
            y -= a / b * x;
            return d;
        }
        public static int LCM(int a, int b) { return a * b / GCD(a, b); }
        public static long LCM(long a, long b) { return a * b / GCD(a, b); }
        public static long Inv(this long a, long m = MOD)
        {
            long b = m, u = 1, v = 0;
            while (b != 0)
            {
                long t = a / b;
                a -= t * b;
                swap(ref a, ref b);
                u -= t * v;
                swap(ref u, ref v);
            }
            u %= m;
            if (u < 0) u += m;
            return u;
        }
        private static void swap(ref long a, ref long b) { var t = a; a = b; b = t; }
        public static long ModPow(long a, long n, long m = MOD)
        {
            long res = 1;
            while (n > 0)
            {
                if (n % 2 == 1) res = (res * a) % m;
                a = (a * a) % m;
                n >>= 1;
            }
            return res;
        }
    }

    static class MyLinq
    {
        public static void Sort(this string[] array) { Array.Sort(array, StringComparer.OrdinalIgnoreCase); }
        public static void StringSort(this List<string> list) { list.Sort(StringComparer.OrdinalIgnoreCase); }
        public static string Join<T>(this IEnumerable<T> source, string separator) { return string.Join(separator, source); }
        public static IEnumerable<TItem> Distinct<TItem, TKey>(this IEnumerable<TItem> source, Func<TItem, TKey> keySelector)
        {
            if (source == null)
                throw new ArgumentNullException(nameof(source));

            if (keySelector == null)
                throw new ArgumentNullException(nameof(keySelector));

            var set = new HashSet<TKey>();
            foreach (var item in source)
                if (set.Add(keySelector(item))) yield return item;
        }
    }
}