Calculator

AtCoder

IDarc122_c

Time2000ms

Memory256MB

Difficulty—

Snuke has integers $x$ and $y$. Initially, $x=0,y=0$. Snuke can do the following four operations any number of times in any order: * Operation $1$: Replace the value of $x$ with $x+1$. * Operation $2$: Replace the value of $y$ with $y+1$. * Operation $3$: Replace the value of $x$ with $x+y$. * Operation $4$: Replace the value of $y$ with $x+y$. You are given a positive integer $N$. Do at most $130$ operations so that $x$ will have the value $N$. Here, $y$ can have any value. We can prove that such a sequence of operations exists under the constraints of this problem. ## Constraints * $1 \leq N \leq 10^{18}$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ [samples]

Samples

Input #1

Output #1

5
1
4
2
3
1

Here, the values of $x$ and $y$ change as follows: $(0,0)\rightarrow$ (Operation $1$) $\rightarrow (1,0) \rightarrow$ (Operation $4$) $\rightarrow (1,1) \rightarrow$ (Operation $2$) $\rightarrow (1,2) \rightarrow$ (Operation $3$) $\rightarrow (3,2) \rightarrow$ (Operation $1$) $\rightarrow (4,2)$, and the final value of $x$ matches $N$.

API Response (JSON)

{
  "problem": {
    "name": "Calculator",
    "description": {
      "content": "Snuke has integers $x$ and $y$. Initially, $x=0,y=0$. Snuke can do the following four operations any number of times in any order: *   Operation $1$: Replace the value of $x$ with $x+1$.      *   Ope",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "arc122_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Snuke has integers $x$ and $y$. Initially, $x=0,y=0$.\nSnuke can do the following four operations any number of times in any order:\n\n*   Operation $1$: Replace the value of $x$ with $x+1$.\n    \n*   Ope...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments