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bfsRoot2 = [[{'x': 2, 'y': 2, 'direction': 'N', 'hydradeIndex': {(0, 0): -1, (1, 0): 1, (2, 0): 1, (3, 0): 1, (4, 0): 1, (5, 0): 1, (6, 0): 1, (7, 0): 1, (8, 0): 1, (9, 0): 1, (0, 1): 1, (1, 1): 1, (2, 1): 0, (3, 1): 1, (4, 1): 1, (5, 1): 1, (6, 1): 1, (7, 1): 1, (8, 1): 1, (9, 1): 1, (0, 2): 1, (1, 2): 1, (2, 2): 1, (3, 2): 1, (4, 2): 1, (5, 2): 1, (6, 2): 1, (7, 2): 1, (8, 2): 1, (9, 2): 1, (0, 3): 1, (1, 3): 1, (2, 3): 1, (3, 3): 1, (4, 3): 1, (5, 3): 1, (6, 3): 1, (7, 3): 1, (8, 3): 1, (9, 3): 1, (0, 4): 1, (1, 4): 1, (2, 4): 1, (3, 4): 1, (4, 4): 1, (5, 4): 1, (6, 4): 1, (7, 4): 1, (8, 4): 1, (9, 4): 1}}, 'forward'], [{'x': 2, 'y': 2, 'direction': 'E', 'hydradeIndex': {(0, 0): -1, (1, 0): 1, (2, 0): 1, (3, 0): 1, (4, 0): 1, (5, 0): 1, (6, 0): 1, (7, 0): 1, (8, 0): 1, (9, 0): 1, (0, 1): 1, (1, 1): 1, (2, 1): 0, (3, 1): 1, (4, 1): 1, (5, 1): 1, (6, 1): 1, (7, 1): 1, (8, 1): 1, (9, 1): 1, (0, 2): 1, (1, 2): 1, (2, 2): 1, (3, 2): 1, (4, 2): 1, (5, 2): 1, (6, 2): 1, (7, 2): 1, (8, 2): 1, (9, 2): 1, (0, 3): 1, (1, 3): 1, (2, 3): 1, (3, 3): 1, (4, 3): 1, (5, 3): 1, (6, 3): 1, (7, 3): 1, (8, 3): 1, (9, 3): 1, (0, 4): 1, (1, 4): 1, (2, 4): 1, (3, 4): 1, (4, 4): 1, (5, 4): 1, (6, 4): 1, (7, 4): 1, (8, 4): 1, (9, 4): 1}}, 'left'], [{'x': 1, 'y': 2, 'direction': 'E', 'hydradeIndex': {(0, 0): -1, (1, 0): 1, (2, 0): 1, (3, 0): 1, (4, 0): 1, (5, 0): 1, (6, 0): 1, (7, 0): 1, (8, 0): 1, (9, 0): 1, (0, 1): 1, (1, 1): 1, (2, 1): 0, (3, 1): 1, (4, 1): 1, (5, 1): 1, (6, 1): 1, (7, 1): 1, (8, 1): 1, (9, 1): 1, (0, 2): 1, (1, 2): 1, (2, 2): 0, (3, 2): 1, (4, 2): 1, (5, 2): 1, (6, 2): 1, (7, 2): 1, (8, 2): 1, (9, 2): 1, (0, 3): 1, (1, 3): 1, (2, 3): 1, (3, 3): 1, (4, 3): 1, (5, 3): 1, (6, 3): 1, (7, 3): 1, (8, 3): 1, (9, 3): 1, (0, 4): 1, (1, 4): 1, (2, 4): 1, (3, 4): 1, (4, 4): 1, (5, 4): 1, (6, 4): 1, (7, 4): 1, (8, 4): 1, (9, 4): 1}}, 'forward'], [{'x': 0, 'y': 2, 'direction': 'E', 'hydradeIndex': {(0, 0): -1, (1, 0): 1, (2, 0): 1, (3, 0): 1, (4, 0): 1, (5, 0): 1, (6, 0): 1, (7, 0): 1, (8, 0): 1, (9, 0): 1, (0, 1): 1, (1, 1): 1, (2, 1): 0, (3, 1): 1, (4, 1): 1, (5, 1): 1, (6, 1): 1, (7, 1): 1, (8, 1): 1, (9, 1): 1, (0, 2): 1, (1, 2): 1, (2, 2): 0, (3, 2): 1, (4, 2): 1, (5, 2): 1, (6, 2): 1, (7, 2): 1, (8, 2): 1, (9, 2): 1, (0, 3): 1, (1, 3): 1, (2, 3): 1, (3, 3): 1, (4, 3): 1, (5, 3): 1, (6, 3): 1, (7, 3): 1, (8, 3): 1, (9, 3): 1, (0, 4): 1, (1, 4): 1, (2, 4): 1, (3, 4): 1, (4, 4): 1, (5, 4): 1, (6, 4): 1, (7, 4): 1, (8, 4): 1, (9, 4): 1}}, 'forward'], [{'x': 0, 'y': 2, 'direction': 'N', 'hydradeIndex': {(0, 0): -1, (1, 0): 1, (2, 0): 1, (3, 0): 1, (4, 0): 1, (5, 0): 1, (6, 0): 1, (7, 0): 1, (8, 0): 1, (9, 0): 1, (0, 1): 1, (1, 1): 1, (2, 1): 0, (3, 1): 1, (4, 1): 1, (5, 1): 1, (6, 1): 1, (7, 1): 1, (8, 1): 1, (9, 1): 1, (0, 2): 1, (1, 2): 1, (2, 2): 0, (3, 2): 1, (4, 2): 1, (5, 2): 1, (6, 2): 1, (7, 2): 1, (8, 2): 1, (9, 2): 1, (0, 3): 1, (1, 3): 1, (2, 3): 1, (3, 3): 1, (4, 3): 1, (5, 3): 1, (6, 3): 1, (7, 3): 1, (8, 3): 1, (9, 3): 1, (0, 4): 1, (1, 4): 1, (2, 4): 1, (3, 4): 1, (4, 4): 1, (5, 4): 1, (6, 4): 1, (7, 4): 1, (8, 4): 1, (9, 4): 1}}, 'right'], [{'x': 0, 'y': 3, 'direction': 'N', 'hydradeIndex': {(0, 0): -1, (1, 0): 1, (2, 0): 1, (3, 0): 1, (4, 0): 1, (5, 0): 1, (6, 0): 1, (7, 0): 1, (8, 0): 1, (9, 0): 1, (0, 1): 1, (1, 1): 1, (2, 1): 0, (3, 1): 1, (4, 1): 1, (5, 1): 1, (6, 1): 1, (7, 1): 1, (8, 1): 1, (9, 1): 1, (0, 2): 0, (1, 2): 1, (2, 2): 0, (3, 2): 1, (4, 2): 1, (5, 2): 1, (6, 2): 1, (7, 2): 1, (8, 2): 1, (9, 2): 1, (0, 3): 1, (1, 3): 1, (2, 3): 1, (3, 3): 1, (4, 3): 1, (5, 3): 1, (6, 3): 1, (7, 3): 1, (8, 3): 1, (9, 3): 1, (0, 4): 1, (1, 4): 1, (2, 4): 1, (3, 4): 1, (4, 4): 1, (5, 4): 1, (6, 4): 1, (7, 4): 1, (8, 4): 1, (9, 4): 1}}, 'forward'], [{'x': 0, 'y': 3, 'direction': 'W', 'hydradeIndex': {(0, 0): -1, (1, 0): 1, (2, 0): 1, (3, 0): 1, (4, 0): 1, (5, 0): 1, (6, 0): 1, (7, 0): 1, (8, 0): 1, (9, 0): 1, (0, 1): 1, (1, 1): 1, (2, 1): 0, (3, 1): 1, (4, 1): 1, (5, 1): 1, (6, 1): 1, (7, 1): 1, (8, 1): 1, (9, 1): 1, (0, 2): 0, (1, 2): 1, (2, 2): 0, (3, 2): 1, (4, 2): 1, (5, 2): 1, (6, 2): 1, (7, 2): 1, (8
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