Happy Birthday! 4

AtCoder

IDabc433_a

Time2000ms

Memory256MB

Difficulty—

You are given positive integers $X,Y,Z$. Takahashi and Aoki are currently $X$ years old and $Y$ years old, respectively. Takahashi and Aoki age by $1$ year simultaneously on every January $1$st. Determine whether there is a moment in the future (including this year) when Takahashi's age becomes exactly $Z$ times Aoki's age. ## Constraints * $1\le X,Y \le 100$ * $2\le Z\le 10$ * All input values are integers. ## Input The input is given from Standard Input in the following format: $X$ $Y$ $Z$ [samples]

Samples

Input #1

44 20 2

Output #1

Yes

Four years from now, Takahashi will be $48$ years old and Aoki will be $24$ years old, so Takahashi's age will be exactly twice Aoki's age. Thus, output `Yes`.

Input #2

28 10 3

Output #2

No

There will never be a moment when Takahashi's age becomes exactly three times Aoki's age. Thus, output `No`.

Input #3

50 5 10

Output #3

Yes

Currently, Takahashi's age is exactly $10$ times Aoki's age.
Note that you need to determine whether there will be such a moment in the future including this year.

Input #4

1 100 2

Output #4

No

API Response (JSON)

{
  "problem": {
    "name": "Happy Birthday! 4",
    "description": {
      "content": "You are given positive integers $X,Y,Z$. Takahashi and Aoki are currently $X$ years old and $Y$ years old, respectively. Takahashi and Aoki age by $1$ year simultaneously on every January $1$st. Deter",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc433_a"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given positive integers $X,Y,Z$.\nTakahashi and Aoki are currently $X$ years old and $Y$ years old, respectively.\nTakahashi and Aoki age by $1$ year simultaneously on every January $1$st.\nDeter...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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