Cats and Dogs

AtCoder

IDabc094_a

Time2000ms

Memory256MB

Difficulty—

There are a total of $A + B$ cats and dogs. Among them, $A$ are known to be cats, but the remaining $B$ are not known to be either cats or dogs. Determine if it is possible that there are exactly $X$ cats among these $A + B$ animals. ## Constraints * $1 \leq A \leq 100$ * $1 \leq B \leq 100$ * $1 \leq X \leq 200$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $A$ $B$ $X$ [samples]

Samples

Input #1

3 5 4

Output #1

YES

If there are one cat and four dogs among the $B = 5$ animals, there are $X = 4$ cats in total.

Input #2

2 2 6

Output #2

NO

Even if all of the $B = 2$ animals are cats, there are less than $X = 6$ cats in total.

Input #3

5 3 2

Output #3

NO

Even if all of the $B = 3$ animals are dogs, there are more than $X = 2$ cats in total.

API Response (JSON)

{
  "problem": {
    "name": "Cats and Dogs",
    "description": {
      "content": "There are a total of $A + B$ cats and dogs. Among them, $A$ are known to be cats, but the remaining $B$ are not known to be either cats or dogs. Determine if it is possible that there are exactly $X$ ",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc094_a"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There are a total of $A + B$ cats and dogs. Among them, $A$ are known to be cats, but the remaining $B$ are not known to be either cats or dogs.\nDetermine if it is possible that there are exactly $X$ ...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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