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@sshark
Created November 14, 2019 16:47
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Pascal Triangle
object PascalTri {
def triangle(level: Int): List[List[Int]] = {
def triGen(loop: Int, xs: List[Int], acc: List[List[Int]]): List[List[Int]] =
if (loop == 0) acc
else {
val ts = 1 +: xs.sliding(2).map(_.sum).toList :+ 1
triGen(loop - 1, ts, acc :+ ts)
}
triGen(level - 2, List(1, 1), List(List(1), List(1, 1)))
}
def main(args: Array[String]): Unit =
prettyPrint(triangle(args(0).toInt)))
def prettyPrint(triangle: List[List[Int]]): Unit = {
def _pp(xs: List[List[Int]], balance: Int): Unit = {
if (balance == 0) println() else {
println(s"${" " * (balance - 1)}${xs.head.mkString(" ")}")
_pp(xs.tail, balance - 1)
}
}
_pp(triangle, triangle.size)
}
}
/* REPL Output
scala> import Solution._
scala> prettyPrint(triangle(5))
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
scala> prettyPrint(triangle(15))
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1
1 10 45 120 210 252 210 120 45 10 1
1 11 55 165 330 462 462 330 165 55 11 1
1 12 66 220 495 792 924 792 495 220 66 12 1
1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1
1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1
*/
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