{
  "schema": "ml-prep/item@1",
  "item": {
    "id": "original-ml-network-params",
    "area": "machine-learning",
    "topic": "neural-networks",
    "origin": "original",
    "title": "Dense-network parameter count",
    "skills": [
      "parameter-count"
    ],
    "priority": "foundation",
    "difficulty": "easy",
    "estimated_minutes": 4,
    "prerequisites": [
      "matrix-shapes"
    ],
    "prompt": "Count trainable scalar parameters in a fully connected network with $10$ inputs, one hidden layer of $5$ units with biases, and an output layer of $3$ units with biases.\n",
    "answer": "Input-to-hidden has $10\\times5+5=55$ parameters. Hidden-to-output has $5\\times3+3=18$. The total is $73$.\n",
    "check": {
      "kind": "numeric",
      "id": "original-ml-network-params",
      "values": [
        55,
        18,
        73
      ]
    }
  }
}