Psychic Square Magic Constant Calculator

Exactnormaln×nmagicsquarelineconstantn(n²+1)/2,n≤1000;not psychicpredictionor existence/constructionsquareaudit.

Description

A normal magic square uses the integers from one through n squared with a common line sum.

A normal magic square uses the integers from one through n squared with a common line sum.1

This tool computes that arithmetic constant without constructing or auditing a square.

When to use Psychic Square Magic Constant Calculator

Use this tool to apply the stated psychic square magic constant calculator operation with an explicit input and unit basis.

How to use Psychic Square Magic Constant Calculator and how it works

  1. Establish the text or game convention described above.
  2. Enter actualNormalMagicSquareOrder and run the tool.
  3. Read result.value using the output meanings below.
  4. If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
Input fieldMeaningValue typeRequirement
actualNormalMagicSquareOrderNormal magic square order, on the basis specified in the algorithm.numberrequired; finite; integer from 1 to 1000000; further conditions in the algorithm

Require integer order 1–1,000 and reject order two. Evaluate n×(n²+1)/2; order one returns one.

line constant = n(n² + 1)/2

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.valueNormal magic-square line constant.number
json
{
  "input": {
    "actualNormalMagicSquareOrder": 3
  },
  "output": {
    "result": {
      "value": 15
    }
  }
}

Limitations and assumptions

The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.

Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A successful false boolean, negative signed difference, empty slice or unresolved tie is distinct from an input error. Very large inputs or outputs may be rejected by shared resource limits.

Alternative or Complementary methods

For a related operation, use Sudoku Puzzle Difficulty Rater. Sudoku difficulty depends on a named solving convention and puzzle evidence.

For a related operation, use Minesweeper Board Generator. A Minesweeper board records mine locations and adjacent-mine counts.

References

  1. Psychic Square Magic Constant Calculator — tool.io

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