​

function setup() {

  noLoop();

}

​

function draw() {

  let perfectSquares = [];

  let allCombinations = [];

  const lowerLimit = 3;

  const upperLimit = amountOfGuests + amountOfGuests - 1; 

  //find perfect squares in range

  for(let i = lowerLimit; i <= upperLimit; i++){

    if(perfectSquare(i)){

      append(perfectSquares,i);

    }

  }

  //find ways to uniquly sum the perfect squares

  for(const number of perfectSquares){

    const possibleCombinations = findCombinations(number);

    append(allCombinations,possibleCombinations);

  }

  //find unique order

  for(const set of allCombinations){

    for(const partners of set){

      console.log(partners.x,partners.y);

    }

  }

}

​

function perfectSquare(n){

  return (Number.isInteger(sqrt(n))) ?  true : false; 

}

​

function findCombinations(n){

  let combinations = [];

  for(let i = 1; i <= floor(n/2)  ; i++){

    if(i != n -i){append(combinations, createVector(i,n-i));}

  }

  return(combinations);

}