Two Anagrams

AtCoder

IDabc082_b

Time2000ms

Memory256MB

Difficulty—

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. ## 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: $s$ $t$ [samples] ## 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`.

Samples

Input #1

yx
axy

Output #1

Yes

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

Input #2

ratcode
atlas

Output #2

Yes

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

Input #3

cd
abc

Output #3

No

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

Input #4

w
ww

Output #4

Yes

Input #5

zzz
zzz

Output #5

No

API Response (JSON)

{
  "problem": {
    "name": "Two Anagrams",
    "description": {
      "content": "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 rear",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc082_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "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 rear...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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