Problem

Implement a function deep_clone(value) that returns a deep copy of a JavaScript-style value represented in Python using dictionaries, lists, primitives, and None. The clone must recursively copy nested lists and dictionaries so that modifying the result does not affect the original. Handle cyclic references by preserving structure in the clone rather than recursing forever.

Examples

Example 1:

Input: value = {"a": 1, "b": [2, {"c": 3}]}
Output: {"a": 1, "b": [2, {"c": 3}]}
Explanation: Nested lists and dictionaries are copied into new containers.

Example 2:

Input: value = a list where value[0] is the list itself
Output: a new list where result[0] is result
Explanation: Cyclic references must be preserved in the cloned structure.

Constraints

• Input may be a primitive, None, list, or dictionary
• Nested structure size is at most 10^4 total elements
• Dictionary keys are strings
• Cycles and repeated references may appear in the input