Inventory Encumbrance Over-Limit Check

Reconcile counted inventory and extra equipped weight against explicit caller capacity, preserving negative margin; no assumed game encumbrance thresholds or suggested item disposal.

Description

Inventory weight pools item counts and per-unit weights with equipped load.

Inventory weight pools item counts and per-unit weights with equipped load. A signed margin exposes overload.1

Enter aligned nonempty nonnegative integer counts/nonnegative weights plus nonnegative equipped load and capacity. Return total load, signed margin, strict overload and nonnegative required reduction.

When to use Inventory Encumbrance Over-Limit Check

Use Inventory Encumbrance Over-Limit Check when you need to evaluate the supplied records under the calculation and evidence rules below. No container arrangement, weight rounding or item-removal strategy is supplied.

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 Inventory Encumbrance Over-Limit Check and understand its results

  1. Prepare the supplied game state, observations and explicit variant settings. Follow the card, board, coordinate and state conventions in the calculation rules.
  2. Enter itemCounts, itemUnitWeights, callerFixedEquippedWeight, callerCarryCapacity using the field table and calculation rules, then run the tool.
  3. Read totalModeledCarriedWeight, signedCapacityMargin, overCallerCapacity, minimumWeightReductionToCallerCapacity. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. 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 fieldMeaningValue type; see rules belowRequirement
itemCountsItem countslist of numberRequired
itemUnitWeightsItem unit weightslist of numberRequired
callerFixedEquippedWeightCaller fixed equipped weightnumberRequired
callerCarryCapacityCaller carry capacitynumberRequired

Enter aligned nonempty nonnegative integer counts/nonnegative weights plus nonnegative equipped load and capacity. Return total load, signed margin, strict overload and nonnegative required reduction.

load=sum(count×unitWeight)+equipped; margin=capacity−load

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

Output fieldMeaningValue type
totalModeledCarriedWeightTotal modeled carried weightnumber
signedCapacityMarginSigned capacity marginnumber
overCallerCapacityOver caller capacityboolean
minimumWeightReductionToCallerCapacityMinimum weight reduction to caller capacitynumber
json
{
  "input": {
    "itemCounts": [
      2,
      3
    ],
    "itemUnitWeights": [
      5,
      1
    ],
    "callerFixedEquippedWeight": 2,
    "callerCarryCapacity": 12
  },
  "output": {
    "totalModeledCarriedWeight": 15,
    "signedCapacityMargin": -3,
    "overCallerCapacity": true,
    "minimumWeightReductionToCallerCapacity": 3
  }
}

Limitations and assumptions

No container arrangement, weight rounding or item-removal strategy is supplied.

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 Grid Inventory Rectangle Fit Check: Grid inventory placement requires a complete empty rectangle. Rotation adds a separate orientation when dimensions differ. For a complementary task, use Backgammon Pip Count Race Check: Backgammon pip count weights each on-board checker by its distance to bearing off. Counts are given from each player’s own home direction.

References

  1. Inventory Encumbrance Over-Limit Check — tool.io

Similar or alternative tools

  • Grid Inventory Rectangle Fit Check

    Grid inventory placement requires a complete empty rectangle. Rotation adds a separate orientation when dimensions differ.

  • Backgammon Pip Count Race Check

    Backgammon pip count weights each on-board checker by its distance to bearing off. Counts are given from each player’s own home direction.

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