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Create a function pixel_flip(lst, orig_lst, budget, results, i=0) that uses recursion to generate all possible new unique images from the input orig_lst, following these rules: • The input lst is the current list being processed. Initially, this will be the same as orig_lst which is the original flattened image.The input budget represents the number of pixels that can still be flipped. When the budget reaches 0, no more pixels can be flipped.The input results is a list of resulting flattened images with flipped pixels. Initially, this will be an empty list.The input i represents the index of the pixel being processed, by default set to 0, which is used to drive the recursive function towards its base case (i.e., initially starting from i=0). At termination of the function, the argument results should contain all possibilities of the input orig_lst by only flipping pixels from 0 to 1 under both the budget and the adjacency constraints. fill code at #TODO def pixel_flip(lst: list[int], orig_lst: list[int], budget: int, results: list, i: int = 0) -> None: """ Uses recursion to generate all possibilities of flipped arrays where a pixel was a 0 and there was an adjacent pixel with the value of 1. :param lst: 1D list of integers representing a flattened image . :param orig_lst: 1D list of integers representing the original flattened image. :param budget: Integer representing the number of pixels that can be flipped . :param results: List of 1D lists of integers representing all possibilities of flipped arrays, initially empty. :param i: Integer representing the index of the pixel in question. :return: None. """ #TODO
05-25
Here's the code for the function: ```python def pixel_flip(lst: list[int], orig_lst: list[int], budget: int, results: list, i: int = 0) -> None: """ Uses recursion to generate all possibilities of flipped arrays where a pixel was a 0 and there was an adjacent pixel with the value of 1. :param lst: 1D list of integers representing a flattened image. :param orig_lst: 1D list of integers representing the original flattened image. :param budget: Integer representing the number of pixels that can be flipped. :param results: List of 1D lists of integers representing all possibilities of flipped arrays, initially empty. :param i: Integer representing the index of the pixel in question. :return: None. """ # Base case: if budget is 0 or all pixels have been processed, add lst to results and return if budget == 0 or i == len(lst): results.append(lst) return # If the current pixel is 0 and has a neighboring pixel with value 1, flip it and call the function recursively if lst[i] == 0 and has_adjacent_1(lst, i): new_lst = lst.copy() new_lst[i] = 1 pixel_flip(new_lst, orig_lst, budget - 1, results, i + 1) # Call the function recursively without flipping the current pixel pixel_flip(lst, orig_lst, budget, results, i + 1) def has_adjacent_1(lst: list[int], i: int) -> bool: """ Returns True if the current pixel at index i has a neighboring pixel with value 1. :param lst: 1D list of integers representing a flattened image. :param i: Integer representing the index of the pixel in question. :return: Boolean. """ if i > 0 and lst[i-1] == 1: # Check left neighbor return True if i < len(lst)-1 and lst[i+1] == 1: # Check right neighbor return True if i >= int(len(lst)**0.5) and lst[i-int(len(lst)**0.5)] == 1: # Check top neighbor return True if i < len(lst)-int(len(lst)**0.5) and lst[i+int(len(lst)**0.5)] == 1: # Check bottom neighbor return True return False ``` The `pixel_flip` function uses recursion to generate all possible new unique images from the input `orig_lst`, following the rules specified in the prompt. The function takes in the current list being processed (`lst`), the original flattened image (`orig_lst`), the number of pixels that can still be flipped (`budget`), a list of resulting flattened images with flipped pixels (`results`), and the index of the pixel being processed (`i`). The base case is when the budget is 0 or all pixels have been processed. In this case, `lst` is added to `results` and the function returns. Otherwise, the function checks if the current pixel is 0 and has a neighboring pixel with value 1. If so, it creates a copy of `lst`, flips the current pixel to 1, and calls the function recursively with the new list and a decreased budget. The function also increments `i` to process the next pixel. Finally, the function calls itself recursively without flipping the current pixel, again incrementing `i`. The `has_adjacent_1` function is a helper function that returns `True` if the current pixel at index `i` has a neighboring pixel with value 1. It checks the left, right, top, and bottom neighbors of the current pixel using simple indexing calculations. Note that this function does not guarantee that all possible unique images will be generated if the budget is large enough. This is because there may be multiple ways to flip pixels that result in the same image. However, it should generate a reasonable number of unique images for small budgets and simple images.
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