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random\nimport time\n\nclass Node:\n def __init__(self, val=None, level=0):\n self.val = val\n self.forward = [None] * (level + 1)\n self.size = [1] * (level + 1)\nclass IndexableSkipList:\n MAX_LEVEL = 20\n P = 0.5\n\n def __init__(self):\n self.head = Node(level=self.MAX_LEVEL)\n self.level = 0\n self.length = 0\n\n def random_level(self):\n lvl = 0\n while random.random() < self.P and lvl < self.MAX_LEVEL:\n lvl += 1\n return lvl\n\n def insert(self, index, value):\n update = [None] * (self.MAX_LEVEL + 1)\n rank = [0] * (self.MAX_LEVEL + 1)\n x = self.head\n\n # 探索\n for i in reversed(range(self.level + 1)):\n rank[i] = 0 if i == self.level else rank[i + 1]\n while x.forward[i] and rank[i] + x.size[i] <= index:\n rank[i] += x.size[i]\n x = x.forward[i]\n update[i] = x\n\n lvl = self.random_level()\n if lvl > self.level:\n for i in range(self.level + 1, lvl + 1):\n update[i] = self.head\n rank[i] = 0\n self.head.size[i] = self.length + 1\n self.level = lvl\n\n new_node = Node(value, lvl)\n for i in range(lvl + 1):\n # new_node の size を先にセット（いまの update[i] の size はまだ旧）\n new_node.forward[i] = update[i].forward[i]\n new_node.size[i] = update[i].size[i] - (index - rank[i]) if update[i].forward[i] else 1\n # update[i] の forward/size を後で更新（破壊しない！）\n update[i].forward[i] = new_node\n update[i].size[i] = (index - rank[i]) + 1\n\n for i in range(lvl + 1, self.level + 1):\n update[i].size[i] += 1\n\n self.length += 1\n\n def get(self, index):\n x = self.head\n i = index\n for level in reversed(range(self.level + 1)):\n while x.forward[level] and i >= x.size[level]:\n i -= x.size[level]\n x = x.forward[level]\n return x.forward[0].val\n\n def __len__(self):\n return self.length\n\n def __getitem__(self, idx):\n return self.get(idx)\n\n def to_list(self):\n result = []\n x = self.head.forward[0]\n while x:\n result.append(x.val)\n x = x.forward[0]\n return result\n\n# ------------------ ベンチマーク比較 ------------------\n\nTEST_SIZE = 50_000\n# 200_000 くらいで逆転\n\nvalues = [random.randint(0, 10**9) for _ in range(TEST_SIZE)]\nindicies = [random.randint(0, 10**9) for _ in range(TEST_SIZE)]\n# indicies = [0 for _ in range(TEST_SIZE)] # 先頭固定\n# indicies = [_ for _ in range(TEST_SIZE)] # 末尾固定\n\n# Python list バージョン -----\narr = []\nstart_time = time.time()\n\nfor i in range(TEST_SIZE):\n index = indicies[i] % (1 + len(arr))\n arr.insert(index, values[i])\n\nend_time = time.time()\nelapsed_ms = (end_time - start_time) * 1000\nprint(f\"List 処理時間: {elapsed_ms:.2f} ms\")\n\n# Indexable SkipList バージョン -----\nslist = IndexableSkipList()\nstart_time = time.time()\n\nfor i in range(TEST_SIZE):\n index = indicies[i] % (1 + len(slist))\n slist.insert(index, values[i])\n\nend_time = time.time()\nelapsed_ms = (end_time - start_time) * 1000\nprint(f\"SkipList 処理時間: {elapsed_ms:.2f} ms\")\n\n# 結果比較 -----\nassert arr == slist.to_list()\nprint(\"✅ 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