What is the strategy to generate all binary strings from a given pattern?

To solve this, I would use a recursive backtracking approach. I define a helper function that takes the current index and the partially built string. If the index reaches the length of the pattern, I add the completed string to my result list. If the current character in the pattern is a '0' or '1', I append it and recurse to the next index. If it is a wildcard, I branch out: first appending '0' and recursing, then appending '1' and recursing. This ensures every valid combination is generated exactly once. The time complexity will be O(2^k * n) where k is the number of wildcards and n is the string length.