package practice
 
object MagicSquare extends App {
 
  val res = for (j <- 1 to 5; i <- 0 to 20 by 5) yield {
    make(j % 5 + 1, (j + 1) % 5 + 1, (j + 2) % 5 + 1, (j + 3) % 5 + 1, (j + 4) % 5 + 1,
      i % 25, (i + 5) % 25, (i + 10) % 25, (i + 15) % 25, (i + 20) % 25)
  }
 
  for (xs <- res) {
    xs.foreach(ys => println(ys.map(y => f"$y%3d").mkString))
    println
  }
 
  def make(a: Int, b: Int, c: Int, d: Int, e: Int, f: Int, g: Int, h: Int, i: Int, j: Int) = {
    val pat1 = List(List(a, b, c, d, e), List(c, d, e, a, b), List(e, a, b, c, d), List(b, c, d, e, a), List(d, e, a, b, c))
    val pat2 = List(List(f, g, h, i, j), List(i, j, f, g, h), List(g, h, i, j, f), List(j, f, g, h, i), List(h, i, j, f, g))
    (pat1 zip pat2).map(xs => xs._1 zip xs._2).map(xs => xs.map(xx => xx._1 + xx._2))
  }
}

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