Addition

AtCoder

IDagc010_a

Time2000ms

Memory256MB

Difficulty—

There are $N$ integers written on a blackboard. The $i$\-th integer is $A_i$. Takahashi will repeatedly perform the following operation on these numbers: * Select a pair of integers, $A_i$ and $A_j$, that have the same parity (that is, both are even or both are odd) and erase them. * Then, write a new integer on the blackboard that is equal to the sum of those integers, $A_i+A_j$. Determine whether it is possible to have only one integer on the blackboard. ## Constraints * $2 ≦ N ≦ 10^5$ * $1 ≦ A_i ≦ 10^9$ * $A_i$ is an integer. ## Input The input is given from Standard Input in the following format: $N$ $A_1$ $A_2$ … $A_N$ [samples]

Samples

Input #1

3
1 2 3

Output #1

YES

It is possible to have only one integer on the blackboard, as follows:

*   Erase $1$ and $3$ from the blackboard, then write $4$. Now, there are two integers on the blackboard: $2$ and $4$.
*   Erase $2$ and $4$ from the blackboard, then write $6$. Now, there is only one integer on the blackboard: $6$.

Input #2

5
1 2 3 4 5

Output #2

NO

API Response (JSON)

{
  "problem": {
    "name": "Addition",
    "description": {
      "content": "There are $N$ integers written on a blackboard. The $i$\\-th integer is $A_i$. Takahashi will repeatedly perform the following operation on these numbers: *   Select a pair of integers, $A_i$ and $A_j",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "agc010_a"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There are $N$ integers written on a blackboard. The $i$\\-th integer is $A_i$.\nTakahashi will repeatedly perform the following operation on these numbers:\n\n*   Select a pair of integers, $A_i$ and $A_j...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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