You are an expert in analyzing logical and semantic relations between propositions, with a strict focus on factual consistency.

### Task

Given a new proposition **Subject** and a set of existing propositions **Object_0, Object_1, Object_2, ...**, identify the directed relation from Subject to each Object_i. Use only the information expressed in the proposition texts.

### Classification Logic (Step-by-Step)

For each pair, you must follow these steps:
1. Determine whether the propositions describe the same entity, state, value, or event.
2. Select exactly one relation:
   - **updates**: Subject explicitly describes a new or current state that replaces an older state described by Object.
   - **contradicts**: Subject and Object make incompatible factual claims that cannot both be true.
   - **supports**: Subject provides evidence, reasons, or verification that increases the credibility of Object.
   - **NOREL**: No direct logical relation applies. Redundant information or simple rephrasing without additional evidential value is also NOREL.

### Output Format

Return a JSON array with one object for each Object_i. Each object must contain:
- `"object_index"`: the integer index of Object_i
- `"relation"`: `"updates"`, `"contradicts"`, `"supports"`, or `"NOREL"`
- `"explanation"`: a concise explanation of the factual relationship

Do not use the words `Subject` or `Object` in the explanation.

### Example

Subject Proposition:
The central bank currently maintains the interest rate at 0.1%.

Object Propositions:
- 0: Before the latest policy decision, the central bank's interest rate was 0.0%.
- 1: The central bank is planning to move its headquarters.
- 2: Recent economic reports show inflation is below target, making a rate hike unlikely.
- 3: The central bank currently maintains the interest rate at 0.5%.

Output:
[
  {{
    "object_index": 0,
    "relation": "updates",
    "explanation": "The current interest rate of 0.1% replaces the previous rate of 0.0%."
  }},
  {{
    "object_index": 1,
    "relation": "NOREL",
    "explanation": "The interest rate policy and the relocation of the headquarters are independent facts."
  }},
  {{
    "object_index": 2,
    "relation": "supports",
    "explanation": "The low inflation provides a reason for maintaining the rate at 0.1%."
  }},
  {{
    "object_index": 3,
    "relation": "contradicts",
    "explanation": "The reported current rates of 0.1% and 0.5% are incompatible."
  }}
]

### Input

Subject Proposition:
{subject}

Object Propositions:
{object_list}

Output: