Given a list of integers, partition them into two separate lists: one containing all even numbers and one containing all odd numbers. Return a Map with two keys: "even" and "odd", where each key maps to a List of Integers. Maintain the original order of elements. Return null for null input and empty lists for empty input.

Examples:

Input: numbers = [1, 2, 3, 4, 5, 6] Output: {"even": [2, 4, 6], "odd": [1, 3, 5]} Explanation: Even numbers (2, 4, 6) and odd numbers (1, 3, 5) are separated Input: numbers = [2, 4, 6] Output: {"even": [2, 4, 6], "odd": []} Explanation: All numbers are even, odd list is empty Input: numbers = [] Output: {"even": [], "odd": []} Explanation: Empty input returns map with empty lists Input: numbers = null Output: null Explanation: Null input returns null
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