Datasets:
| blocked = {(1, 1), (2, 3)} | |
| dp = [[0] * 5 for _ in range(5)] | |
| for x in range(5): | |
| for y in range(5): | |
| if (x, y) in blocked: | |
| continue | |
| if (x, y) == (0, 0): | |
| dp[x][y] = 1 | |
| else: | |
| dp[x][y] = (dp[x-1][y] if x else 0) + (dp[x][y-1] if y else 0) | |
| assert dp[1][1] == 0 and dp[2][3] == 0 | |
| result = {"valid_paths": dp[4][4]} | |
| import json | |
| print(json.dumps(result, ensure_ascii=False, sort_keys=True)) | |