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Prefix Trie Unary Chain Spans

Bounded explicit prefix trie with root ID 0, unique sibling UTF-16 code-unit edges and terminal flags; inventory maximal compressible nonterminal unary chains, stopping at terminal words even when they have one child.

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Description

Inventory maximal compressible nonterminal unary chains, stopping at terminal words even when they have one child.

A trie stores literal words as root-to-node character paths, with terminal flags marking complete words. A terminal can also have children, and an existing prefix path need not be a stored word. This family uses one UTF-16 code unit per ordinary edge, so code-unit length differs from a displayed character or Unicode code-point count.

Inventory maximal compressible nonterminal unary chains, stopping at terminal words even when they have one child.

When to use this tool

Use this tool to inventory maximal compressible nonterminal unary chains, stopping at terminal words even when they have one child.

How to use the tool and how it works

  1. Enter nodesJson using the definitions below. Serialize JSON text fields in the decoded shape shown below.
  2. Run the operation. Resolve input-format errors before interpreting an output.
  3. Read result.chains, using the stated boundary, ordering, sign and absence conventions.

Compress paths through nonterminal nodes having exactly one child. Return compressed edges whose label uses more than one UTF-16 code unit, with endpoint IDs, label and codeUnits count.1

Input fieldMeaning and unitsAccepted input
nodesJsonJSON array of {id,parent,character,terminal} nodes under the complete root-zero trie rules below.Text, at most 8,192 UTF-16 code units; narrower grammar/range rules also apply.

These decoded structures show the examples inside JSON text fields. Supply their serialized JSON strings as input.

json
{
  "nodesJson": [
    {
      "id": 0,
      "parent": null,
      "character": "",
      "terminal": false
    },
    {
      "id": 1,
      "parent": 0,
      "character": "a",
      "terminal": true
    },
    {
      "id": 2,
      "parent": 1,
      "character": "b",
      "terminal": true
    },
    {
      "id": 3,
      "parent": 0,
      "character": "b",
      "terminal": true
    }
  ]
}
Output fieldInterpretation
resultObject containing the fields below.
result.chainsCompressed multi-code-unit path records with original endpoint IDs and labels.
json
{
  "input": {
    "nodesJson": "[{\"id\": 0, \"parent\": null, \"character\": \"\", \"terminal\": false}, {\"id\": 1, \"parent\": 0, \"character\": \"a\", \"terminal\": true}, {\"id\": 2, \"parent\": 1, \"character\": \"b\", \"terminal\": true}, {\"id\": 3, \"parent\": 0, \"character\": \"b\", \"terminal\": true}]"
  },
  "output": {
    "result": {
      "chains": []
    }
  }
}

Limitations and assumptions

  • Terminal nodes stop compression even with one child; spans are trie paths, not offsets into an external text.
  • Ordinary node tables have at most 128 nodes with distinct IDs 0–127, one root ID 0 with empty character and null parent, unique parent/character edges, complete acyclic parent links and a boolean terminal flag. Every nonroot character is exactly one UTF-16 code unit.
  • Every declared outer field is required and unknown outer fields are rejected. Strings and JSON text have size limits, lists are bounded to 128 entries, and JSON nesting/node counts are bounded. Tighter operation-specific bounds stated above take precedence.
  • Ordinary numeric outputs must be finite and within safe-integer magnitude. Exact large lengths/counts use decimal strings. Original record indexes and code-unit positions are zero-based; span ends are exclusive unless stated otherwise.

Alternative or Complementary methods

Choose word membership, prefix existence, completion or ranking according to the question. Normalize text separately if needed; these operations preserve exact code units and caller order.

References

  1. Tool behavior and example: Prefix Trie Unary Chain Spans — tool.io

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