Clue Card Elimination Count Matrix

Audit direct category exclusions for standard Clue envelope combinations, retaining contradictory empty categories; no deduction from disjunctive player responses or correlation proof.

Description

Clue exclusions leave a Cartesian product of suspect, weapon and room possibilities.

Clue exclusions leave a Cartesian product of suspect, weapon and room possibilities. An empty category is a contradiction.^[1]

Enter binary exclusion lists of lengths 6,6,9, with 1 excluded. Return each remaining count, combination count and contradiction flag.

When to use Clue Card Elimination Count Matrix

Use Clue Card Elimination Count Matrix when you need to evaluate the supplied records under the calculation and evidence rules below. No ownership evidence, disjunctive suggestions or full deduction is modeled.

Prepare the supplied game state, observations and explicit variant settings. Follow the card, board, coordinate and state conventions in the calculation rules.

How to use Clue Card Elimination Count Matrix and understand its results

Prepare the supplied game state, observations and explicit variant settings. Follow the card, board, coordinate and state conventions in the calculation rules.
Enter suspectExcludedFlags, weaponExcludedFlags, roomExcludedFlags using the field table and calculation rules, then run the tool.
Read remainingSuspects, remainingWeapons, remainingRooms, unexcludedEnvelopeCombinations, contradictoryExclusionInventory. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
suspectExcludedFlags	Suspect excluded flags	list of number	Required
weaponExcludedFlags	Weapon excluded flags	list of number	Required
roomExcludedFlags	Room excluded flags	list of number	Required

Enter binary exclusion lists of lengths 6,6,9, with 1 excluded. Return each remaining count, combination count and contradiction flag.

combinations=remainingSuspects×remainingWeapons×remainingRooms

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
remainingSuspects	Remaining suspects	number
remainingWeapons	Remaining weapons	number
remainingRooms	Remaining rooms	number
unexcludedEnvelopeCombinations	Unexcluded envelope combinations	number
contradictoryExclusionInventory	Contradictory exclusion inventory	boolean

json

{
  "input": {
    "suspectExcludedFlags": [
      1,
      1,
      1,
      1,
      1,
      0
    ],
    "weaponExcludedFlags": [
      1,
      1,
      1,
      1,
      1,
      0
    ],
    "roomExcludedFlags": [
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0
    ]
  },
  "output": {
    "remainingSuspects": 1,
    "remainingWeapons": 1,
    "remainingRooms": 1,
    "unexcludedEnvelopeCombinations": 1,
    "contradictoryExclusionInventory": false
  }
}

Limitations and assumptions

No ownership evidence, disjunctive suggestions or full deduction is modeled.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use Kakuro Row Sum Distinct Digits Check: A Kakuro run uses distinct digits 1–9. Unknown cells can be checked by enumerating remaining digit combinations. For a complementary task, use SET Card All-Same-or-All-Different Check: A SET has each feature all equal or all different across three cards. Card distinctness is a separate input rule.

References

Clue Card Elimination Count Matrix — tool.io

Similar or alternative tools

Kakuro Row Sum Distinct Digits Check
A Kakuro run uses distinct digits 1–9. Unknown cells can be checked by enumerating remaining digit combinations.
SET Card All-Same-or-All-Different Check
A SET has each feature all equal or all different across three cards. Card distinctness is a separate input rule.