Description
There is a stream of n (idKey, value) pairs arriving in an arbitrary order, where idKey is an integer between 1 and n and value is a string. No two pairs have the same id.
Design a stream that returns the values in increasing order of their IDs by returning a chunk (list) of values after each insertion. The concatenation of all the chunks should result in a list of the sorted values.
Implement the OrderedStream class:
OrderedStream(int n)Constructs the stream to takenvalues.String[] insert(int idKey, String value)Inserts the pair(idKey, value)into the stream, then returns the largest possible chunk of currently inserted values that appear next in the order.
Example:

Input ["OrderedStream", "insert", "insert", "insert", "insert", "insert"] [[5], [3, "ccccc"], [1, "aaaaa"], [2, "bbbbb"], [5, "eeeee"], [4, "ddddd"]] Output [null, [], ["aaaaa"], ["bbbbb", "ccccc"], [], ["ddddd", "eeeee"]] Explanation // Note that the values ordered by ID is ["aaaaa", "bbbbb", "ccccc", "ddddd", "eeeee"]. OrderedStream os = new OrderedStream(5); os.insert(3, "ccccc"); // Inserts (3, "ccccc"), returns []. os.insert(1, "aaaaa"); // Inserts (1, "aaaaa"), returns ["aaaaa"]. os.insert(2, "bbbbb"); // Inserts (2, "bbbbb"), returns ["bbbbb", "ccccc"]. os.insert(5, "eeeee"); // Inserts (5, "eeeee"), returns []. os.insert(4, "ddddd"); // Inserts (4, "ddddd"), returns ["ddddd", "eeeee"]. // Concatentating all the chunks returned: // [] + ["aaaaa"] + ["bbbbb", "ccccc"] + [] + ["ddddd", "eeeee"] = ["aaaaa", "bbbbb", "ccccc", "ddddd", "eeeee"] // The resulting order is the same as the order above.
Constraints:
1 <= n <= 10001 <= id <= nvalue.length == 5valueconsists only of lowercase letters.- Each call to
insertwill have a uniqueid. - Exactly
ncalls will be made toinsert.
Solutions
Solution 1: Array Simulation
We can use an array data of length n + 1 to simulate this stream, where data[i] represents the value of id = i. At the same time, we use a pointer ptr to represent the current position. Initially, ptr = 1.
When inserting a new (idKey, value) pair, we update data[idKey] to value. Then, starting from ptr, we sequentially add data[ptr] to the answer until data[ptr] is empty.
The time complexity is O(n), and the space complexity is O(n). Where n is the length of the data stream.
class OrderedStream: def __init__(self, n: int): self.ptr = 1 self.data = [None] * (n + 1) def insert(self, idKey: int, value: str) -> List[str]: self.data[idKey] = value ans = [] while self.ptr < len(self.data) and self.data[self.ptr]: ans.append(self.data[self.ptr]) self.ptr += 1 return ans # Your OrderedStream object will be instantiated and called as such: # obj = OrderedStream(n) # param_1 = obj.insert(idKey,value)(code-box)
