You will be provided with a reference and some statements. Please determine whether each statement is 'supported', 'unsupported', or 'unknown' with respect to the reference. Please note:
First, assess whether the reference contains any valid content. If the reference contains no valid information, such as a 'page not found' message, then all statements should be considered 'unknown'.
If the reference is valid, for a given statement: if the facts or data it contains can be found entirely or partially within the reference, it is considered 'supported' (data accepts rounding); if all facts and data in the statement cannot be found in the reference, it is considered 'unsupported'.

You should return the result in a JSON list format, where each item in the list contains the statement's index and the judgment result, for example:
[
    {
        "idx": 1,
        "result": "supported"
    },
    {
        "idx": 2,
        "result": "unsupported"
    }
]

Below are the reference and statements:
<reference>
ERROR: The request could not be satisfied



503 Service Unavailable ERROR

The request could not be satisfied.

We can't connect to the server for this app or website at this time. There might be too much traffic or a configuration error. Try again later, or contact the app or website owner.

If you provide content to customers through CloudFront, you can find steps to troubleshoot and help prevent this error by reviewing the CloudFront documentation.

Generated by cloudfront (CloudFront) HTTP3 Server
Request ID: -KPtPFQoynRFELneZqI275BX0Rx11uYNygJzMKrvRWjbAnN8nr57SA==
</reference>

<statements>
1. Watertight Mesh Extraction: To calculate volumetric parameters, raw oriented point clouds P = {(p_k, n_hat_k)} obtained from structured light stereo matching undergo Screened Poisson Surface Reconstruction
2. Extracting the iso-surface via Marching Cubes generates a two-manifold, watertight triangulated mesh M = (V, F)
3. Grain Length (L) is defined as the caliper distance along the first principal eigenvector u_1
4. Grain Length (L) has a correlation coefficient of R^2 = 0.998 versus reference
5. Grain Width (W) is defined as the extent along the orthogonal lateral eigenvector u_2
6. Grain Width (W) has a correlation coefficient of R^2 = 0.992 versus reference
7. Grain Thickness (T) is defined as the extent along the dorsoventral eigenvector u_3
8. Grain Thickness (T) has a correlation coefficient of R^2 = 0.985 versus reference
9. Enclosed Volume (V) is calculated by the divergence volume integral over the watertight mesh M
10. Surface Area (S) is calculated by the summation of 2-manifold triangular face surface integrals
</statements>

Begin the assessment now. Output only the JSON list, without any conversational text or explanations.