#include <bits/stdc++.h>
using namespace std;

//#include <boost/multiprecision/cpp_int.hpp>
// using namespace boost::multiprecision;
// using cint = cpp_int;
//#pragma GCC optimize("", on)
//#pragma GCC optimization_level 3

// Define
using ll = long long;
using ull = unsigned long long;
using ld = long double;
const ll MOD = 1e9 + 7;
const ll INF = LONG_MAX;
const ull MAX = ULONG_MAX;
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define x first
#define y second
#define endl '\n'
#define space ' '
#define def inline auto
#define func inline constexpr ll
#define run __attribute__((constructor)) def _
#define all(v) begin(v), end(v)
#define input(a) scanf("%lld", &(a))
#define print(a) printf("%lld\n", (a))

// Debug
#define debug(...)                                                             \
    {                                                                          \
        cerr << __LINE__ << ": " << #__VA_ARGS__ << " = ";                     \
        for (auto &&X : {__VA_ARGS__}) cerr << "[" << X << "] ";               \
        cerr << endl;                                                          \
    }

#define dump(a, h, w)                                                          \
    {                                                                          \
        cerr << __LINE__ << ": " << #a << " = [" << endl;                      \
        rep(i, h) {                                                            \
            rep(j, w) cerr << a[i][j] << space;                                \
            cerr << endl;                                                      \
        }                                                                      \
        cerr << "]" << endl;                                                   \
    }

#define lldump(a, n)                                                           \
    {                                                                          \
        cerr << __LINE__ << ": " << #a << " = [";                              \
        rep(i, n) if (i) cerr << space << a[i];                                \
        else cout << a[i];                                                     \
        cerr << "]" << endl;                                                   \
    }

// Loop
#define inc(i, a, n) for (ll i = (a), _##i = (n); i <= _##i; ++i)
#define dec(i, a, n) for (ll i = (a), _##i = (n); i >= _##i; --i)
#define each(i, a) for (auto &&i : a)
#define rep(i, n) inc(i, 0, n - 1)
#define loop() for (;;)

// Stream
#define fout(n) cout << fixed << setprecision(n)
#define fasten cin.tie(0), ios::sync_with_stdio(0)

// Speed
run() { fasten, fout(10); }
#pragma GCC optimize("O3")
#pragma GCC target("avx")

// Math
func gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
func lcm(ll a, ll b) { return a * b / gcd(a, b); }
func sign(ll a) { return a ? abs(a) / a : 0; }

def in() {
    ll A;
    cin >> A;
    return A;
}

template <typename T> struct DJK {
    ll V;
    using P = pair<ll, ll>;
    vector<vector<P>> G;
    vector<T> dist;
    vector<bool> used;
    DJK(ll v) : V(v), G(v), dist(v), used(v) {}
    void setDist(ll a, ll b, ll d) { G[a].push_back(P(d, b)); }
    void culc(ll s = 0) {
        priority_queue<P, vector<P>, greater<P>> Q;
        Q.push(P(0, s));
        fill_n(dist.begin(), V, INF);
        fill_n(used.begin(), V, false);
        while (!Q.empty()) {
            T d;
            ll t;
            tie(d, t) = Q.top(), Q.pop();
            if (used[t]) continue;
            used[t] = true, dist[t] = d;
            for (P e : G[t]) {
                if (dist[e.second] <= d + e.first) continue;
                Q.push(P(d + e.first, e.second));
            }
        }
    }
};

signed main() {
    string S, T;
    cin >> S >> T;
    sort(all(S)), sort(all(T));
    reverse(all(T));
    if (S < T)
        return puts("Yes") & 0;
    else
        return puts("No") & 0;
}

// for compilation: g++ -Ofast -march=native -o _ _.cpp -std=c++17


Measured memory_bytes: 256