Opdracht · algoritmen moeilijk Python ·
Convex hull
Return the corners of the convex hull of the points in counter-clockwise order, starting from the point with the smallest x (the smallest y among those). Points on an edge of the hull that aren't corners are left out, and duplicate points count once. If all points coincide, return that one point; if they all lie on one line, return its two endpoints, the starting point first. Coordinates are integers with absolute value up to 10**9. Up to 200,000 points.
Signatuur
def convex_hull(points: list[list[int]]) -> list[list[int]]:Voorbeelden
convex_hull([[0, 0], [2, 0], [1, 1], [2, 2], [0, 2], [1, 3]]) # -> [[0, 0], [2, 0], [2, 2], [1, 3], [0, 2]]
convex_hull([[1, 1], [1, 1]]) # -> [[1, 1]]Plus 8 verborgen tests en 2 prestatietests met grote invoer onder een tijdslimiet; de invoer hiervan is niet zichtbaar. Opdrachten worden in het Engels aan de modellen voorgelegd.
#1Mistral Devstral 2 2512opgelost · 12 van 12 testsantwoord in 1.3 s · looptijd 1.2 s · $0.0006 ✓ convex_hull([[0, 0], [2, 0], [1, 1], [2, 2], [0, 2], [1, 3]])verwacht [[0, 0], [2, 0], [2, 2], [1, 3], [0, 2]] <1 ms ✓ convex_hull([[1, 1], [1, 1]])verwacht [[1, 1]] <1 ms ✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms⏱ 981 ms⏱ 168 msCode
def convex_hull(points): points = sorted(set(tuple(p) for p in points)) if len(points) <= 1: return [list(p) for p in points] def cross(o, a, b): return (a[0] - o[0]) * (b[1] - o[1]) - (a[1] - o[1]) * (b[0] - o[0]) lower = [] for p in points: while len(lower) >= 2 and cross(lower[-2], lower[-1], p) <= 0: lower.pop() lower.append(p) upper = [] for p in reversed(points): while len(upper) >= 2 and cross(upper[-2], upper[-1], p) <= 0: upper.pop() upper.append(p) hull = lower[:-1] + upper[:-1] return [list(p) for p in hull]#1Google Gemini 3.8 Flashopgelost · 12 van 12 testsantwoord in 3.0 s · looptijd 1.2 s · $0.0016 ✓ convex_hull([[0, 0], [2, 0], [1, 1], [2, 2], [0, 2], [1, 3]])verwacht [[0, 0], [2, 0], [2, 2], [1, 3], [0, 2]] <1 ms ✓ convex_hull([[1, 1], [1, 1]])verwacht [[1, 1]] <1 ms ✓ <1 ms✓ 8 ms✓ 1 ms✓ 1 ms✓ 2 ms✓ <1 ms✓ <1 ms✓ <1 ms⏱ 1.0 s⏱ 188 msCode
def convex_hull(points: list[list[int]]) -> list[list[int]]: pts = sorted({(p[0], p[1]) for p in points}) if len(pts) <= 1: return [[p[0], p[1]] for p in pts] def cross(o, a, b): return (a[0] - o[0]) * (b[1] - o[1]) - (a[1] - o[1]) * (b[0] - o[0]) lower = [] for p in pts: while len(lower) >= 2 and cross(lower[-2], lower[-1], p) <= 0: lower.pop() lower.append(p) upper = [] for p in reversed(pts): while len(upper) >= 2 and cross(upper[-2], upper[-1], p) <= 0: upper.pop() upper.append(p) # Check collinearity if len(lower) == 2 and len(upper) == 2 and lower[0] == upper[-1] and lower[-1] == upper[0]: # All points are collinear return [[pts[0][0], pts[0][1]], [pts[-1][0], pts[-1][1]]] hull = lower[:-1] + upper[:-1] return [[p[0], p[1]] for p in hull]#1MiniMax M3.1 Flashopgelost · 12 van 12 testsantwoord in 1.7 s · looptijd 1.2 s · $0.0004 ✓ convex_hull([[0, 0], [2, 0], [1, 1], [2, 2], [0, 2], [1, 3]])verwacht [[0, 0], [2, 0], [2, 2], [1, 3], [0, 2]] <1 ms ✓ convex_hull([[1, 1], [1, 1]])verwacht [[1, 1]] <1 ms ✓ <1 ms✓ 6 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms⏱ 1.1 s⏱ 181 msCode
def convex_hull(points: list[list[int]]) -> list[list[int]]: pts = sorted(set((p[0], p[1]) for p in points)) if len(pts) <= 1: return [list(p) for p in pts] def cross(o, a, b): return (a[0] - o[0]) * (b[1] - o[1]) - (a[1] - o[1]) * (b[0] - o[0]) lower = [] for p in pts: while len(lower) >= 2 and cross(lower[-2], lower[-1], p) <= 0: lower.pop() lower.append(p) upper = [] for p in reversed(pts): while len(upper) >= 2 and cross(upper[-2], upper[-1], p) <= 0: upper.pop() upper.append(p) hull = lower[:-1] + upper[:-1] return [list(p) for p in hull]#1Anthropic Claude Haiku 5.5opgelost · 12 van 12 testsantwoord in 1.5 s · looptijd 1.3 s · $0.0002 ✓ convex_hull([[0, 0], [2, 0], [1, 1], [2, 2], [0, 2], [1, 3]])verwacht [[0, 0], [2, 0], [2, 2], [1, 3], [0, 2]] <1 ms ✓ convex_hull([[1, 1], [1, 1]])verwacht [[1, 1]] <1 ms ✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms✓ <1 ms⏱ 1.1 s⏱ 176 msCode
def convex_hull(points: list[list[int]]) -> list[list[int]]: pts = sorted(set((p[0], p[1]) for p in points)) n = len(pts) if n <= 1: return [[x, y] for x, y in pts] def cross(o, a, b): return (a[0] - o[0]) * (b[1] - o[1]) - (a[1] - o[1]) * (b[0] - o[0]) lower = [] for p in pts: while len(lower) >= 2 and cross(lower[-2], lower[-1], p) <= 0: lower.pop() lower.append(p) upper = [] for p in reversed(pts): while len(upper) >= 2 and cross(upper[-2], upper[-1], p) <= 0: upper.pop() upper.append(p) hull = lower[:-1] + upper[:-1] return [[x, y] for x, y in hull]
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