Refactor some code to have better naming and move Point and related point things into their own .hpp.

point.hpp

@@ -0,0 +1,18 @@
+#pragma once
+
+struct Point {
+  size_t x = 0;
+  size_t y = 0;
+
+  bool operator==(const Point& other) const {
+    return other.x == x && other.y == y;
+  }
+};
+
+typedef std::vector<Point> PointList;
+
+struct PointHash {
+  size_t operator()(const Point& p) const {
+    return std::hash<int>()(p.x) ^ std::hash<int>()(p.y);
+  }
+};