Part 2

input/day09

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src/day09.scala

@@ -20,45 +20,90 @@ def part1(input: String): Long =
         ((a.x - b.x + 1) * (a.y - b.y + 1)).abs
     }.max
 
-def part2(input: String): Long =
+enum Edge:
-  val points  = input.split('\n').map { case s"$x,$y" => (x = x.toLong, y = y.toLong) }
+  case H(fixedY: Int, range: Range)
-  val polygon = points
+  case V(fixedX: Int, range: Range)
 
-  def corners(ax: Long, ay: Long, bx: Long, by: Long) =
+  def contains(x: Int, y: Int): Boolean =
-    List((ax, ay), (ax, by), (ay, bx), (bx, by))
+    this match
+      case H(fixedY, range) => fixedY == y && range.contains(x)
+      case V(fixedX, range) => fixedX == x && range.contains(y)
 
-  def isInside(x: Long, y: Long) =
+object Edge:
-    val counter = polygon.sliding(2).foldLeft(0) { case (counter, Array(a, b)) =>
+  def apply(a: Point, b: Point): Edge =
-      if y > min(a.y, b.y) && y <= max(a.y, b.y) && x <= max(a.x, b.x) then
+    if a.y == b.y then Edge.H(a.y, min(a.x, b.x) to max(a.x, b.x))
-        val xinters = (y - a.y) * (b.x - a.x) / (b.y - a.y) + a.x
+    else if a.x == b.x then Edge.V(a.x, min(a.y, b.y) to max(a.y, b.y))
-        counter + (if a.x == b.x || x <= xinters then 1 else 0)
+    else ???
-      else counter
+
+case class Polygon(edges: List[Edge]):
+  val minX = edges.map {
+    case Edge.H(_, range)  => range.min
+    case Edge.V(fixedX, _) => fixedX
+  }.min - 1
+
+  def contains(p: Point) =
+    if edges.exists(_.contains(p.x, p.y)) then true
+    else
+      // println(p)
+      val (count, _) = (minX to p.x).foldLeft((0, false)) { case ((count, switched), x) =>
+        // println(x)
+        // print("edge contains ")
+        // println(edges.exists(_.contains(x, p.y)))
+        // print("switched ")
+        // println(switched)
+        if edges.exists(_.contains(x, p.y)) && !switched then (count + 1, true)
+        else (count, false)
       }
-    counter % 2 == 1
+      // println("count")
+      // println(count)
+      count % 2 == 1
 
-  println(isInside(7, 1))
+case class Point(x: Int, y: Int)
 
-  println(isInside(7, 2))
+def part2(input: String): Long =
-  println(isInside(0, 0))
+  val points  = input.split('\n').map { case s"$x,$y" => Point(x.toInt, y.toInt) }
+  val polygon = Polygon(
+    (points :+ points.head).sliding(2).map { case Array(a, b) => Edge(a, b) }.toList
+  )
+
+  def corners(a: Point, b: Point) =
+    List(
+      Point(min(a.x, b.x), min(a.y, b.y)),
+      Point(min(a.x, b.x), max(a.y, b.y)),
+      Point(max(a.x, b.x), min(a.y, b.y)),
+      Point(max(a.x, b.x), max(a.y, b.y))
+    ).distinct
+
+  // println(polygon.contains(Point(9, 3)))
+
+  // println(polygon.edges.mkString("\n"))
+
+  // println(polygon.edges.exists(_.contains(9, 3)))
+  // println(polygon.edges.exists(_.contains(9, 5)))
+  // println(polygon.contains(Point(11, 1)))
+  // println(polygon.contains(Point(11, 7)))
+  // println(polygon.contains(Point(11, 8)))
+  // println(polygon.contains(Point(11, 9)))
+
+  // corners(Point(9, 5), Point(2, 3)).foreach(p =>
+  //   println(p)
+  //   println(polygon.contains(p))
+  // )
+
+  println(
+    points
+      .combinations(2)
+      .map { case Array(a, b) =>
+        corners(a, b)
+      }.distinct.size
+  )
   points
     .combinations(2)
     .collect {
-      case Array(a, b) if a != b && corners(a.x, a.y, b.x, b.y).forall((x, y) => isInside(x, y)) =>
+      case Array(a, b) if a != b && corners(a, b).forall(polygon.contains) =>
-        println(corners(a.x, a.y, b.x, b.y))
+        println(corners(a, b))
         (a, b)
     }
     .map((a, b) => ((a.x - b.x + 1) * (a.y - b.y + 1)).abs)
     .max
-
-  // if (p.y > MIN(p1.y,p2.y)) {
-  //   if (p.y <= MAX(p1.y,p2.y)) {
-  //     if (p.x <= MAX(p1.x,p2.x)) {
-  //       if (p1.y != p2.y) {
-  //         xinters = (p.y-p1.y)*(p2.x-p1.x)/(p2.y-p1.y)+p1.x;
-  //         if (p1.x == p2.x || p.x <= xinters)
-  //           counter++;
-  //       }
-  //     }
-  //   }
-  // }
 end part2