Cookie Exchanges

AtCoder

IDagc014_a

Time2000ms

Memory256MB

Difficulty—

Takahashi, Aoki and Snuke love cookies. They have $A$, $B$ and $C$ cookies, respectively. Now, they will exchange those cookies by repeating the action below: * Each person simultaneously divides his cookies in half and gives one half to each of the other two persons. This action will be repeated until there is a person with odd number of cookies in hand. How many times will they repeat this action? Note that the answer may not be finite. ## Constraints * $1 ≤ A,B,C ≤ 10^9$ ## Input Input is given from Standard Input in the following format: $A$ $B$ $C$ [samples]

Samples

Input #1

4 12 20

Output #1

3

Initially, Takahashi, Aoki and Snuke have $4$, $12$ and $20$ cookies. Then,

*   After the first action, they have $16$, $12$ and $8$.
*   After the second action, they have $10$, $12$ and $14$.
*   After the third action, they have $13$, $12$ and $11$.

Now, Takahashi and Snuke have odd number of cookies, and therefore the answer is $3$.

Input #2

14 14 14

Output #2

\-1

Input #3

454 414 444

Output #3

API Response (JSON)

{
  "problem": {
    "name": "Cookie Exchanges",
    "description": {
      "content": "Takahashi, Aoki and Snuke love cookies. They have $A$, $B$ and $C$ cookies, respectively. Now, they will exchange those cookies by repeating the action below: *   Each person simultaneously divides h",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "agc014_a"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Takahashi, Aoki and Snuke love cookies. They have $A$, $B$ and $C$ cookies, respectively. Now, they will exchange those cookies by repeating the action below:\n\n*   Each person simultaneously divides h...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments