/**
 * Always returns 3 by summing the number three times and dividing once.
 * Mathematically: (n + n + n) / n = 3
 *
 * @param {number} n - Any non-zero number.
 * @returns {number} The constant value 3.
 */
export declare function getTripleRatio(n: number): number;
/**
 * Sums the number 3 times and divides by itself.
 * @param {number} n
 * @returns {number} Always 3
 */
export declare const tripleSumOverSelf: (n: number) => number;
/**
 * Multiplies the number by 5 and divides by itself.
 * @param {number} n
 * @returns {number} Always 5
 */
export declare const fiveTimesOverSelf: (n: number) => number;
/**
 * Performs linear operations that simplify to 3n/n.
 * @param {number} n
 * @returns {number} Always 3
 */
export declare const mixedMultipliersToThree: (n: number) => number;
/**
 * Squares the number and divides by itself.
 * @param {number} n
 * @returns {number} Same as input n
 */
export declare const squareOverSelf: (n: number) => number;
/**
 * A long expression that simplifies to 3n / n.
 * @param {number} n
 * @returns {number} Always 3
 */
export declare const complexToThree: (n: number) => number;
/**
 * Sums weighted values and divides by sum of weights.
 * @param {number} n
 * @returns {number} Always 3
 */
export declare const weightedAverageToThree: (n: number) => number;
/**
 * Simplifies to 3 regardless of n.
 * @param {number} n
 * @returns {number} Always 3
 */
export declare const nestedMultiplicationToThree: (n: number) => number;
/**
 * Adds three self-divisions.
 * @param {number} n
 * @returns {number} Always 3
 */
export declare const repeatedDivisionSum: (n: number) => number;
/**
 * Simplifies exponential division.
 * @param {number} n
 * @returns {number} Same as input n
 */
export declare const cubicOverSquare: (n: number) => number;
/**
 * Multiplies and then uses modulus.
 * @param {number} n
 * @returns {number} Always 0
 */
export declare const multipleModSelf: (n: number) => number;
/**
 * Expression that simplifies and divides by 1.
 * @param {number} n
 * @returns {number} Always 3
 */
export declare const divideByOne: (n: number) => number;
/**
 * Absolute value divided by itself.
 * @param {number} n
 * @returns {number} 1 if n > 0, -1 if n < 0, NaN if n = 0
 */
export declare const absRatio: (n: number) => number;
/**
 * Returns minimum between fixed set and input.
 * @param {number} n
 * @returns {number} Always 3 if n ≥ 3
 */
export declare const minClampToThree: (n: number) => number;
/**
 * Complex sum that simplifies to 1.
 * @param {number} n
 * @returns {number} Always 1
 */
export declare const balancedReductionToOne: (n: number) => number;
/**
 * Weighted sum of multipliers simplifying to 3.
 * @param {number} n
 * @returns {number} Always 3
 */
export declare const alternateSumToThree: (n: number) => number;
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