day09/input

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day09/sample

@@ -1,8 +0,0 @@
-7,1
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-2,5
-2,3
-7,3

day09/sol.py

@@ -1,99 +0,0 @@
-from math import dist
-
-def solve(input):
-    points = []
-    for line in open(input):
-        x,y = map(int, line.strip().split(","))
-        points.append((x,y))
-
-    # Part 1:
-    # find the largest rectangle created by two points
-
-    def areas():
-        for p in points:
-            for q in points:
-                if p != q:
-                    yield area(p,q)
-
-    # answer 1
-    print(max(areas()))
-
-    # Part 2:
-    # find the largest rectangle formed by a pair of points
-    # which is contained within the polygon defined by the list of points.
-
-    lines = list(zip(points, points[1:]+[points[0]]))
-    # keep only vertical lines, and sort so the uppermost point (lowest y coord) is the first of the pair
-    lines = [(min(p,q),max(p,q)) for p,q in lines if p[1] != q[1]]
-    # sort lines by y coord
-    lines.sort(key=lambda l: (l[0][1],l[1][1],l[0][0],l[1][0]))
-
-    #print(lines)
-
-    # we want to know if the rectangle formed by a pair of points
-    # is completely contained within an axis-aligned polygon.
-    #
-    # we can do that with a pseudo-scanline algorithm.
-    #
-    # we make a couple simplifying assumptions:
-    # 1. first, that the polygon is not self-intersecting
-    # 2. second, that the polygon is not "U shaped" --
-    #    that is, it has a definite, single width in every horizontal slice
-    #    and it doesn't curve around at all -- so we don't have to worry
-    #    about voids
-    #
-    # for each y position, we first calculate the horizontal bounds of the
-    # polygon at that line.
-    #
-    # then, to test if a rectangle is contained within the polygon,
-    # we just need to iterate through the y positions which fall inside the rectangle
-    # and check whether the rectangle would exceed the previously computed bounds
-    # of the polygon at any of those points.
-
-    bounds = {}
-    ys = sorted(set(p[1] for l in lines for p in l))
-    for y in ys:
-        # select lines which intersect with the scanline at y
-        mylines = []
-        for p,q in lines:
-            if p[1] <= y <= q[1]:
-                mylines.append(p[0]) # only keep the x coord
-        # since we are assuming no self-intersection and no voids,
-        # the bounds on this line are just the leftmost and rightmost
-        # x coordinate of the intersecting lines
-        bounds[y] = (min(mylines),max(mylines))
-
-    #print(ys)
-    #print(bounds)
-
-    def inbounds(p,q):
-        y0 = min(p[1],q[1])
-        y1 = max(p[1],q[1])
-        x0 = min(p[0],q[0])
-        x1 = max(p[0],q[0])
-        #print(y0, y1, ys)
-        start = ys.index(y0)
-        for i in range(start,len(ys)):
-            y = ys[i]
-            if y > y1:
-                break
-            if not bounds[y][0] <= x0 <= x1 <= bounds[y][1]:
-                return False
-        return True
-
-    def inbound_areas():
-        for p in points:
-            for q in points:
-                if p != q and inbounds(p,q):
-                    yield area(p,q)
-
-    # answer 2
-    print(max(inbound_areas()))
-
-def area(p,q):
-    dx = abs(p[0] - q[0]) + 1
-    dy = abs(p[1] - q[1]) + 1
-    return dx*dy
-
-solve("sample")
-solve("input")