مفارقة فندق هيلبرت

curl -X POST https://api.kit.forhosting.com/math/hilberts-hotel-paradox \
  -H "Authorization: Bearer $KIT_KEY" \
  -H "Content-Type: application/json" \
  -d '{"guests":[{"guest":"Ada","room":1},{"guest":"Alan","room":2},{"guest":"Grace","room":3}],"new_arrivals":2}'

const res = await fetch("https://api.kit.forhosting.com/math/hilberts-hotel-paradox", {
  method: "POST",
  headers: {
    "Authorization": `Bearer ${process.env.KIT_KEY}`,
    "Content-Type": "application/json"
  },
  body: JSON.stringify({
    "guests": [
      {
        "guest": "Ada",
        "room": 1
      },
      {
        "guest": "Alan",
        "room": 2
      },
      {
        "guest": "Grace",
        "room": 3
      }
    ],
    "new_arrivals": 2
  })
});
const { task_id } = await res.json();

import os, requests

res = requests.post(
    "https://api.kit.forhosting.com/math/hilberts-hotel-paradox",
    headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
    json={
    "guests": [
        {
            "guest": "Ada",
            "room": 1
        },
        {
            "guest": "Alan",
            "room": 2
        },
        {
            "guest": "Grace",
            "room": 3
        }
    ],
    "new_arrivals": 2
},
)
task_id = res.json()["task_id"]

<?php
$res = file_get_contents("https://api.kit.forhosting.com/math/hilberts-hotel-paradox", false, stream_context_create([
  "http" => [
    "method"  => "POST",
    "header"  => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
    "content" => '{"guests":[{"guest":"Ada","room":1},{"guest":"Alan","room":2},{"guest":"Grace","room":3}],"new_arrivals":2}',
  ],
]));
$task = json_decode($res, true);

body := bytes.NewBufferString(`{"guests":[{"guest":"Ada","room":1},{"guest":"Alan","room":2},{"guest":"Grace","room":3}],"new_arrivals":2}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/math/hilberts-hotel-paradox", body)
req.Header.Set("Authorization", "Bearer "+os.Getenv("KIT_KEY"))
req.Header.Set("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)