Convert this game of life pattern 26$13b2o$14bo$14bobo$15b2o14$31b2o$30b2o$32bo13$46b2o$45b2o$47bo13$61b 2o$60b2o$62bo4$52b2o$52b2o$71bo$66b2ob3o$66bobobo$68bo$67b2o3$76b2o$ 60b3o12b2o10bobo$52b3o7bo14bo8bo2bo4bo$51bo3bo5bo10b2o11b2o5b2o$50bo5b o15bobo8b2o3bo8b2o$51bo3bo11b2o6bo9b2o10b2o$52b3o8b2obo2bo2bo2bo10bo2b o$52bo2bo7b2o2b2o6bo11bobo$53b3o16bobo$53b2obo15b2o$54bobo$55bo3$52b2o 3b2o$52bobobobo$53b5o$54b3o$55bo7$54b2o$54b2o! to a numpy array. Call the function `rle_to_arr(string, h, w)` which should return a numpy array with .shape (h,w). Fill the array with 1s, and empty with 0.
Convert this game of life pattern 26$13b2o$14bo$14bobo$15b2o14$31b2o$30b2o$32bo13$46b2o$45b2o$47bo13$61b 2o$60b2o$62bo4$52b2o$52b2o$71bo$66b2ob3o$66bobobo$68bo$67b2o3$76b2o$ 60b3o12b2o10bobo$52b3o7bo14bo8bo2bo4bo$51bo3bo5bo10b2o11b2o5b2o$50bo5b o15bobo8b2o3bo8b2o$51bo3bo11b2o6bo9b2o10b2o$52b3o8b2obo2bo2bo2bo10bo2b o$52bo2bo7b2o2b2o6bo11bobo$53b3o16bobo$53b2obo15b2o$54bobo$55bo3$52b2o 3b2o$52bobobobo$53b5o$54b3o$55bo7$54b2o$54b2o! to a numpy array. Call the function `rle_to_arr(string, h, w)` which should return a numpy array with .shape (h,w). Fill the array with 1s, and empty with 0.
Sure! Below is a Python function `rle_to_arr` that converts a Run-Length Encoded (RLE) Game of Life pattern into a NumPy array of shape `(h, w)`. The array is filled with `1`s for live cells (`o`) and `0`s for dead cells (`b`).
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 | import numpy as np import re def rle_to_arr(rle_string, h, w): """ Convert a Game of Life RLE pattern to a numpy array. Parameters: - rle_string: str, the RLE encoded pattern. - h: int, height of the output array. - w: int, width of the output array. Returns: - np.ndarray of shape (h, w) with 1s and 0s. """ # Initialize the array with zeros arr = np.zeros((h, w), dtype=int) # Remove any whitespace and the terminating '!' rle_string = rle_string.strip().rstrip('!') # Initialize cursor position x, y = 0, 0 # Regular expression to find all runs pattern = re.compile(r'(\d*)([bo\$])') for count, symbol in pattern.findall(rle_string): count = int(count) if count else 1 # Default count is 1 if symbol == 'b': # Dead cells; just move the cursor x += count elif symbol == 'o': # Live cells; set to 1 and move the cursor if x + count > w: raise ValueError(f"Pattern exceeds width at row {y}.") arr[y, x:x+count] = 1 x += count elif symbol == '$': # New line; move to the next row y += count if y >= h: break # Stop if we've reached the desired height x = 0 return arr # Example usage: rle_pattern = ( "26$13b2o$14bo$14bobo$15b2o14$31b2o$30b2o$32bo13$46b2o$45b2o$47bo13$61b2o$60b2o$62bo4$52b2o$52b2o$71bo$66b2ob3o$66bobobo$68bo$67b2o3$76b2o$" "60b3o12b2o10bobo$52b3o7bo14bo8bo2bo4bo$51bo3bo5bo10b2o11b2o5b2o$50bo5b" "o15bobo8b2o3bo8b2o$51bo3bo11b2o6bo9b2o10b2o$52b3o8b2obo2bo2bo2bo10bo2b" "o$52bo2bo7b2o2b2o6bo11bobo$53b3o16bobo$53b2obo15b2o$54bobo$55bo3$52b2o" "3b2o$52bobobobo$53b5o$54b3o$55bo7$54b2o$54b2o!" ) # Define the desired height and width height = 100 # Example height width = 100 # Example width # Convert RLE to array game_of_life_array = rle_to_arr(rle_pattern, height, width) # To visualize the array (optional) # import matplotlib.pyplot as plt # plt.imshow(game_of_life_array, cmap='binary') # plt.show() |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 | import numpy as np import re def rle_to_arr(rle_string, h, w): """ Convert a Game of Life RLE pattern to a numpy array. Parameters: - rle_string: str, the RLE encoded pattern. - h: int, height of the output array. - w: int, width of the output array. Returns: - np.ndarray of shape (h, w) with 1s and 0s. """ # Initialize the array with zeros arr = np.zeros((h, w), dtype=int) # Remove any whitespace and the terminating '!' rle_string = rle_string.strip().rstrip('!') # Initialize cursor position x, y = 0, 0 # Regular expression to find all runs pattern = re.compile(r'(\d*)([bo\$])') for count, symbol in pattern.findall(rle_string): count = int(count) if count else 1 # Default count is 1 if symbol == 'b': # Dead cells; just move the cursor x += count elif symbol == 'o': # Live cells; set to 1 and move the cursor if x + count > w: raise ValueError(f"Pattern exceeds width at row {y}.") arr[y, x:x+count] = 1 x += count elif symbol == '$': # New line; move to the next row y += count if y >= h: break # Stop if we've reached the desired height x = 0 return arr # Example usage: rle_pattern = ( "26$13b2o$14bo$14bobo$15b2o14$31b2o$30b2o$32bo13$46b2o$45b2o$47bo13$61b2o$60b2o$62bo4$52b2o$52b2o$71bo$66b2ob3o$66bobobo$68bo$67b2o3$76b2o$" "60b3o12b2o10bobo$52b3o7bo14bo8bo2bo4bo$51bo3bo5bo10b2o11b2o5b2o$50bo5b" "o15bobo8b2o3bo8b2o$51bo3bo11b2o6bo9b2o10b2o$52b3o8b2obo2bo2bo2bo10bo2b" "o$52bo2bo7b2o2b2o6bo11bobo$53b3o16bobo$53b2obo15b2o$54bobo$55bo3$52b2o" "3b2o$52bobobobo$53b5o$54b3o$55bo7$54b2o$54b2o!" ) # Define the desired height and width height = 100 # Example height width = 100 # Example width # Convert RLE to array game_of_life_array = rle_to_arr(rle_pattern, height, width) # To visualize the array (optional) # import matplotlib.pyplot as plt # plt.imshow(game_of_life_array, cmap='binary') # plt.show() |
Running the following program:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 | import numpy as np import re def rle_to_arr(rle_string, h, w): """ Convert a Game of Life RLE pattern to a numpy array. Parameters: - rle_string: str, the RLE encoded pattern. - h: int, height of the output array. - w: int, width of the output array. Returns: - np.ndarray of shape (h, w) with 1s and 0s. """ # Initialize the array with zeros arr = np.zeros((h, w), dtype=int) # Remove any whitespace and the terminating '!' rle_string = rle_string.strip().rstrip('!') # Initialize cursor position x, y = 0, 0 # Regular expression to find all runs pattern = re.compile(r'(\d*)([bo\$])') for count, symbol in pattern.findall(rle_string): count = int(count) if count else 1 # Default count is 1 if symbol == 'b': # Dead cells; just move the cursor x += count elif symbol == 'o': # Live cells; set to 1 and move the cursor if x + count > w: raise ValueError(f"Pattern exceeds width at row {y}.") arr[y, x:x+count] = 1 x += count elif symbol == '$': # New line; move to the next row y += count if y >= h: break # Stop if we've reached the desired height x = 0 return arr # Example usage: rle_pattern = ( "26$13b2o$14bo$14bobo$15b2o14$31b2o$30b2o$32bo13$46b2o$45b2o$47bo13$61b2o$60b2o$62bo4$52b2o$52b2o$71bo$66b2ob3o$66bobobo$68bo$67b2o3$76b2o$" "60b3o12b2o10bobo$52b3o7bo14bo8bo2bo4bo$51bo3bo5bo10b2o11b2o5b2o$50bo5b" "o15bobo8b2o3bo8b2o$51bo3bo11b2o6bo9b2o10b2o$52b3o8b2obo2bo2bo2bo10bo2b" "o$52bo2bo7b2o2b2o6bo11bobo$53b3o16bobo$53b2obo15b2o$54bobo$55bo3$52b2o" "3b2o$52bobobobo$53b5o$54b3o$55bo7$54b2o$54b2o!" ) # Define the desired height and width height = 100 # Example height width = 100 # Example width # Convert RLE to array game_of_life_array = rle_to_arr(rle_pattern, height, width) # To visualize the array (optional) # import matplotlib.pyplot as plt # plt.imshow(game_of_life_array, cmap='binary') # plt.show() answer = (np.array(rle_to_arr(''' 16b2o3b2o$2o$2o$19b2o$17b5o$21bo$17b3o$o16bo$o17b2o$bo16b2o$b2o$3bo$o 17b2o3b2o$2b2o14bobobobo$11bobo5b5o$11b2o7b3o$2o10bo8bo$b2o$b2o2$2o$bo 2$6bobo$2o3bo$bo3bo$o4bo2bo7bo$5b3o7b2o7bo$15bobo5b3o$22b5o$21b2o3b2o$ 22b5o$22b5o$14b2o6bo2bo$14bobo4bo3bo$11b2obobo4bo$11bobobo5bob2o$13bo 8bo$4bobo6b2o$7bo5b3o50bo$7bo5b3o3b2o3b2o40b4o$4bo2bo5b3o3bo5bo41b4o$ 5b3o5b2o35bo16bo2bo$13bo6bo3bo24bobo15b4o4b2o$11bobobo5b3o15b2o7bob2o 14b4o5b2o$11b2obobo21bobo6b2ob2o14bo8b2o$14bobo20bo6b3obob2o$14b2o12b 2o7bo2bo2bo2bo2bobo$28b2o7bo6b2o4bo16bobo$38bobo26b2o$39b2o27bo4b2o$ 21b2o49bo2bo$21b2o28bobo18b3o$52b2o21b2o$52bo21bo$74b2o$59bo$62bo$59bo 14bo$62bo$61bob3o8bo$59b4o2bo9b2o$64bo$52bo$51b2o$40b2o8b2o4b2o5bo$40b 2o7b3o4b2o3bobo$50b2o4b2o2bobo11b2o$4bobo44b2o6bo2bo11b2o$7bo44bo7bobo $o6bo53bobo$o3bo2bo55bo$5b3o5$4b4o$3bo3bo$7bo$3bo2bo3$o2b3o2b2o$2b5o2b o64b3o$9o67bo$9b3o63bo$o7bo2bo$9b2o3$4b2o$o3b3o$o5b2obo5b2o$bo4bo2bo5b 2o$2o4b2obo$o3b3o$4b2o2$59b3o12b2o$61bo12b2o! ''', 101, 77),dtype=np.uint32).flatten() * np.arange(77*101)).sum() expected = 1563304 assert answer == expected, f'Wrong answer; got {answer} instead of {expected}' print('All tests passed') |
All tests passed
Testing if the previous output contains the string All tests passed
: True
Convert this game of life pattern 26$13b2o$14bo$14bobo$15b2o14$31b2o$30b2o$32bo13$46b2o$45b2o$47bo13$61b 2o$60b2o$62bo4$52b2o$52b2o$71bo$66b2ob3o$66bobobo$68bo$67b2o3$76b2o$ 60b3o12b2o10bobo$52b3o7bo14bo8bo2bo4bo$51bo3bo5bo10b2o11b2o5b2o$50bo5b o15bobo8b2o3bo8b2o$51bo3bo11b2o6bo9b2o10b2o$52b3o8b2obo2bo2bo2bo10bo2b o$52bo2bo7b2o2b2o6bo11bobo$53b3o16bobo$53b2obo15b2o$54bobo$55bo3$52b2o 3b2o$52bobobobo$53b5o$54b3o$55bo7$54b2o$54b2o! to a numpy array. Call the function `rle_to_arr(string, h, w)` which should return a numpy array with .shape (h,w). Fill the array with 1s, and empty with 0.
Convert this game of life pattern 26$13b2o$14bo$14bobo$15b2o14$31b2o$30b2o$32bo13$46b2o$45b2o$47bo13$61b 2o$60b2o$62bo4$52b2o$52b2o$71bo$66b2ob3o$66bobobo$68bo$67b2o3$76b2o$ 60b3o12b2o10bobo$52b3o7bo14bo8bo2bo4bo$51bo3bo5bo10b2o11b2o5b2o$50bo5b o15bobo8b2o3bo8b2o$51bo3bo11b2o6bo9b2o10b2o$52b3o8b2obo2bo2bo2bo10bo2b o$52bo2bo7b2o2b2o6bo11bobo$53b3o16bobo$53b2obo15b2o$54bobo$55bo3$52b2o 3b2o$52bobobobo$53b5o$54b3o$55bo7$54b2o$54b2o! to a numpy array. Call the function `rle_to_arr(string, h, w)` which should return a numpy array with .shape (h,w). Fill the array with 1s, and empty with 0.
Certainly! Below is a Python function `rle_to_arr` that converts a Run-Length Encoded (RLE) Game of Life pattern string into a NumPy array of specified height (`h`) and width (`w`). The array will contain `1`s for live cells and `0`s for dead cells. ### Function Explanation 1. **Initialization**: - Create a NumPy array `arr` of zeros with shape `(h, w)` to represent the grid. - Initialize `rows` and `cols` to keep track of the current position in the grid. 2. **Preprocessing**: - Remove any trailing `!` character from the RLE string, as it's typically used to signify the end of the pattern. - Split the RLE string by `$` to process each line separately. 3. **Parsing the RLE String**: - Iterate through each line obtained from splitting by `$`. - Use a `count` variable to accumulate digits that specify the number of consecutive cells. - For each character in the line: - If it's a digit, append it to `count`. - If it's `b` (dead cell) or `o` (live cell): - Determine the number of cells (`n`) based on `count`. If no number is specified, default to `1`. - For `b`: Increment the `cols` by `n` to skip dead cells. - For `o`: Set the corresponding positions in `arr` to `1` to mark live cells and increment `cols` by `n`. - Reset `count` after processing a symbol. - After processing a line, move to the next row and reset `cols` to `0`. - Stop processing if the number of rows exceeds `h`. 4. **Return the Array**: - After parsing the entire RLE string or filling the specified height, return the resulting NumPy array. ### Implementation
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 | import numpy as np import re def rle_to_arr(string, h, w): """ Convert a Game of Life RLE string to a NumPy array. Parameters: - string: str, the RLE encoded Game of Life pattern. - h: int, the height of the resulting array. - w: int, the width of the resulting array. Returns: - arr: np.ndarray of shape (h, w), with 1s for live cells and 0s for dead cells. """ arr = np.zeros((h, w), dtype=int) rows = 0 cols = 0 # Remove any trailing '!' if present string = string.rstrip('!') # Split the string by '$' to get lines lines = string.split('$') for line in lines: count = '' for char in line: if char.isdigit(): count += char else: if count == '': n = 1 else: n = int(count) if char == 'b': cols += n # Dead cells; move the column pointer elif char == 'o': if cols + n > w: n = w - cols # Prevent overflow arr[rows, cols:cols + n] = 1 # Live cells cols += n # Reset count after processing a symbol count = '' # After processing a line, move to the next row rows += 1 cols = 0 if rows >= h: break # Prevent exceeding the array height return arr |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 | rle_string = ( "26$13b2o$14bo$14bobo$15b2o14$31b2o$30b2o$32bo13$46b2o$45b2o$47bo13$61b" "2o$60b2o$62bo4$52b2o$52b2o$71bo$66b2ob3o$66bobobo$68bo$67b2o3$76b2o$" "60b3o12b2o10bobo$52b3o7bo14bo8bo2bo4bo$51bo3bo5bo10b2o11b2o5b2o$50bo5b" "o15bobo8b2o3bo8b2o$51bo3bo11b2o6bo9b2o10b2o$52b3o8b2obo2bo2bo2bo10bo2b" "o$52bo2bo7b2o2b2o6bo11bobo$53b3o16bobo$53b2obo15b2o$54bobo$55bo3$52b2o" "3b2o$52bobobobo$53b5o$54b3o$55bo7$54b2o$54b2o!" ) # Determine appropriate height and width. # For this example, let's assume h=80 and w=80 h, w = 80, 80 game_of_life_array = rle_to_arr(rle_string, h, w) # To visualize the array, you can print it or use matplotlib print(game_of_life_array) # Optional: Visualize using matplotlib import matplotlib.pyplot as plt plt.imshow(game_of_life_array, cmap='binary') plt.title("Game of Life Pattern") plt.show() |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 | import numpy as np import re def rle_to_arr(string, h, w): """ Convert a Game of Life RLE string to a NumPy array. Parameters: - string: str, the RLE encoded Game of Life pattern. - h: int, the height of the resulting array. - w: int, the width of the resulting array. Returns: - arr: np.ndarray of shape (h, w), with 1s for live cells and 0s for dead cells. """ arr = np.zeros((h, w), dtype=int) rows = 0 cols = 0 # Remove any trailing '!' if present string = string.rstrip('!') # Split the string by '$' to get lines lines = string.split('$') for line in lines: count = '' for char in line: if char.isdigit(): count += char else: if count == '': n = 1 else: n = int(count) if char == 'b': cols += n # Dead cells; move the column pointer elif char == 'o': if cols + n > w: n = w - cols # Prevent overflow arr[rows, cols:cols + n] = 1 # Live cells cols += n # Reset count after processing a symbol count = '' # After processing a line, move to the next row rows += 1 cols = 0 if rows >= h: break # Prevent exceeding the array height return arr |
Running the following program:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 | import numpy as np import re def rle_to_arr(string, h, w): """ Convert a Game of Life RLE string to a NumPy array. Parameters: - string: str, the RLE encoded Game of Life pattern. - h: int, the height of the resulting array. - w: int, the width of the resulting array. Returns: - arr: np.ndarray of shape (h, w), with 1s for live cells and 0s for dead cells. """ arr = np.zeros((h, w), dtype=int) rows = 0 cols = 0 # Remove any trailing '!' if present string = string.rstrip('!') # Split the string by '$' to get lines lines = string.split('$') for line in lines: count = '' for char in line: if char.isdigit(): count += char else: if count == '': n = 1 else: n = int(count) if char == 'b': cols += n # Dead cells; move the column pointer elif char == 'o': if cols + n > w: n = w - cols # Prevent overflow arr[rows, cols:cols + n] = 1 # Live cells cols += n # Reset count after processing a symbol count = '' # After processing a line, move to the next row rows += 1 cols = 0 if rows >= h: break # Prevent exceeding the array height return arr answer = (np.array(rle_to_arr(''' 16b2o3b2o$2o$2o$19b2o$17b5o$21bo$17b3o$o16bo$o17b2o$bo16b2o$b2o$3bo$o 17b2o3b2o$2b2o14bobobobo$11bobo5b5o$11b2o7b3o$2o10bo8bo$b2o$b2o2$2o$bo 2$6bobo$2o3bo$bo3bo$o4bo2bo7bo$5b3o7b2o7bo$15bobo5b3o$22b5o$21b2o3b2o$ 22b5o$22b5o$14b2o6bo2bo$14bobo4bo3bo$11b2obobo4bo$11bobobo5bob2o$13bo 8bo$4bobo6b2o$7bo5b3o50bo$7bo5b3o3b2o3b2o40b4o$4bo2bo5b3o3bo5bo41b4o$ 5b3o5b2o35bo16bo2bo$13bo6bo3bo24bobo15b4o4b2o$11bobobo5b3o15b2o7bob2o 14b4o5b2o$11b2obobo21bobo6b2ob2o14bo8b2o$14bobo20bo6b3obob2o$14b2o12b 2o7bo2bo2bo2bo2bobo$28b2o7bo6b2o4bo16bobo$38bobo26b2o$39b2o27bo4b2o$ 21b2o49bo2bo$21b2o28bobo18b3o$52b2o21b2o$52bo21bo$74b2o$59bo$62bo$59bo 14bo$62bo$61bob3o8bo$59b4o2bo9b2o$64bo$52bo$51b2o$40b2o8b2o4b2o5bo$40b 2o7b3o4b2o3bobo$50b2o4b2o2bobo11b2o$4bobo44b2o6bo2bo11b2o$7bo44bo7bobo $o6bo53bobo$o3bo2bo55bo$5b3o5$4b4o$3bo3bo$7bo$3bo2bo3$o2b3o2b2o$2b5o2b o64b3o$9o67bo$9b3o63bo$o7bo2bo$9b2o3$4b2o$o3b3o$o5b2obo5b2o$bo4bo2bo5b 2o$2o4b2obo$o3b3o$4b2o2$59b3o12b2o$61bo12b2o! ''', 101, 77),dtype=np.uint32).flatten() * np.arange(77*101)).sum() expected = 1563304 assert answer == expected, f'Wrong answer; got {answer} instead of {expected}' print('All tests passed') |
Traceback (most recent call last):
File "/usr/src/app/main.py", line 71, in <module>
assert answer == expected, f'Wrong answer; got {answer} instead of {expected}'
AssertionError: Wrong answer; got 1468671 instead of 1563304
Testing if the previous output contains the string All tests passed
: False