God Sequence

AtCoder

IDarc117_a

Time2000ms

Memory256MB

Difficulty—

A sequence of length $A + B$, $E = (E_1, E_2, \dots, E_{A+B})$, that satisfies all of the conditions below is said to be a _god_ sequence. * $E_1 + E_2 + \cdots + E_{A+B} = 0$ holds. * There are exactly $A$ positive integers among $E_1, E_2, \dots, E_{A+B}$. * There are exactly $B$ negative integers among $E_1, E_2, \dots, E_{A+B}$. * $E_1, E_2, \dots, E_{A+B}$ are all distinct. * $-10^{9} \leq E_i \leq 10^9, E_i \neq 0$ holds for every $i$ $(1 \leq i \leq A+B)$. Construct one god sequence. We can prove that at least one god sequence exists under Constraints of this problem. ## Constraints * $1 \leq A \leq 1000$ * $1 \leq B \leq 1000$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $A$ $B$ [samples]

Samples

Input #1

1 1

Output #1

1001 -1001

A sequence $(1001, -1001)$ contains $A=1$ positive integer and $B=1$ negative integer totaling $1001+(-1001)=0$.
It also satisfies the other conditions and thus is a god sequence.

Input #2

1 4

Output #2

\-8 -6 -9 120 -97

A sequence $(-8, -6, -9, 120, -97)$ contains $A=1$ positive integer and $B=4$ negative integers totaling $(-8)+(-6)+(-9)+120+(-97)=0$.
It also satisfies the other conditions and thus is a god sequence.

Input #3

7 5

Output #3

323 -320 411 206 -259 298 -177 -564 167 392 -628 151

API Response (JSON)

{
  "problem": {
    "name": "God Sequence",
    "description": {
      "content": "A sequence of length $A + B$, $E = (E_1, E_2, \\dots, E_{A+B})$, that satisfies all of the conditions below is said to be a _god_ sequence. *   $E_1 + E_2 + \\cdots + E_{A+B} = 0$ holds. *   There are ",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "arc117_a"
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  "statements": [
    {
      "statement_type": "Markdown",
      "content": "A sequence of length $A + B$, $E = (E_1, E_2, \\dots, E_{A+B})$, that satisfies all of the conditions below is said to be a _god_ sequence.\n\n*   $E_1 + E_2 + \\cdots + E_{A+B} = 0$ holds.\n*   There are ...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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