Lexicographic Order

AtCoder

IDabc217_a

Time2000ms

Memory256MB

Difficulty—

You are given two different strings $S$ and $T$. If $S$ is lexicographically smaller than $T$, print `Yes`; otherwise, print `No`. What is the lexicographical order?Simply speaking, the lexicographical order is the order in which words are listed in a dictionary. As a more formal definition, here is the algorithm to determine the lexicographical order between different strings $S$ and $T$. Below, let $S_i$ denote the $i$\-th character of $S$. Also, if $S$ is lexicographically smaller than $T$, we will denote that fact as $S \lt T$; if $S$ is lexicographically larger than $T$, we will denote that fact as $S \gt T$. 1. Let $L$ be the smaller of the lengths of $S$ and $T$. For each $i=1,2,\dots,L$, we check whether $S_i$ and $T_i$ are the same. 2. If there is an $i$ such that $S_i \neq T_i$, let $j$ be the smallest such $i$. Then, we compare $S_j$ and $T_j$. If $S_j$ comes earlier than $T_j$ in alphabetical order, we determine that $S \lt T$ and quit; if $S_j$ comes later than $T_j$, we determine that $S \gt T$ and quit. 3. If there is no $i$ such that $S_i \neq T_i$, we compare the lengths of $S$ and $T$. If $S$ is shorter than $T$, we determine that $S \lt T$ and quit; if $S$ is longer than $T$, we determine that $S \gt T$ and quit. Note that many major programming languages implement lexicographical comparison of strings as operators or functions in standard libraries. For more detail, see your language's reference. ## Constraints * $S$ and $T$ are different strings, each of which consists of lowercase English letters and has a length of between $1$ and $10$ (inclusive). ## Input Input is given from Standard Input in the following format: $S$ $T$ [samples]

Samples

Input #1

abc atcoder

Output #1

Yes

`abc` and `atcoder` begin with the same character, but their second characters are different. Since `b` comes earlier than `t` in alphabetical order, we can see that `abc` is lexicographically smaller than `atcoder`.

Input #2

arc agc

Output #2

No

Input #3

a aa

Output #3

Yes

API Response (JSON)

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    "name": "Lexicographic Order",
    "description": {
      "content": "You are given two different strings $S$ and $T$.   If $S$ is lexicographically smaller than $T$, print `Yes`; otherwise, print `No`. What is the lexicographical order?Simply speaking, the lexicographi",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc217_a"
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  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given two different strings $S$ and $T$.  \nIf $S$ is lexicographically smaller than $T$, print `Yes`; otherwise, print `No`.\nWhat is the lexicographical order?Simply speaking, the lexicographi...",
      "is_translate": false,
      "language": "English"
    }
  ]
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