Crane and Turtle

AtCoder

IDabc170_b

Time2000ms

Memory256MB

Difficulty—

There are some animals in a garden. Each of them is a crane with two legs or a turtle with four legs. Takahashi says: "there are $X$ animals in total in the garden, and they have $Y$ legs in total." Determine whether there is a combination of numbers of cranes and turtles in which this statement is correct. ## Constraints * $1 \leq X \leq 100$ * $1 \leq Y \leq 100$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $X$ $Y$ [samples]

Samples

Input #1

3 8

Output #1

Yes

The statement "there are $3$ animals in total in the garden, and they have $8$ legs in total" is correct if there are two cranes and one turtle. Thus, there is a combination of numbers of cranes and turtles in which the statement is correct.

Input #2

2 100

Output #2

No

There is no combination of numbers of cranes and turtles in which this statement is correct.

Input #3

1 2

Output #3

Yes

We also consider the case in which there are only cranes or only turtles.

API Response (JSON)

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  "problem": {
    "name": "Crane and Turtle",
    "description": {
      "content": "There are some animals in a garden. Each of them is a crane with two legs or a turtle with four legs. Takahashi says: \"there are $X$ animals in total in the garden, and they have $Y$ legs in total.\" D",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc170_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There are some animals in a garden. Each of them is a crane with two legs or a turtle with four legs.\nTakahashi says: \"there are $X$ animals in total in the garden, and they have $Y$ legs in total.\" D...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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