State ID: 73
Action Path: ['move_l_down(rightl0, f2-2f, f3-2f, f3-3f, f4-2f, f4-3f)', 'move_square(square1, f2-0f, f3-0f)', 'move_square(square0, f1-0f, f2-0f)', 'move_two(straight0, f0-1f, f1-1f, f2-1f)', 'move_two(straight1, f0-2f, f1-2f, f2-2f)', 'move_two(straight0, f1-1f, f2-1f, f3-1f)', 'move_two(straight1, f2-2f, f3-2f, f4-2f)', 'move_two(straight0, f2-1f, f3-1f, f4-1f)', 'move_square(square0, f2-0f, f3-1f)']
Action Taken: move_square(square0, f2-0f, f3-1f)
State Description: - **rightl0 (L-shaped piece):** Occupies positions f3-2f, f4-2f, and f4-3f, colored blue.- **straight0 (Two-square straight piece):** Occupies positions f4-1f and f5-1f, colored green.- **straight1 (Two-square straight piece):** Occupies positions f3-2f and f4-2f, colored red.- **square0 (One-square piece):** Occupies position f3-1f, colored yellow.- **square1 (One-square piece):** Occupies position f3-0f, colored orange.- **Grid Cells (Unoccupied):** Positions f0-0f, f0-1f, f0-2f, f0-3f, f1-0f, f1-1f, f1-2f, f1-3f, f2-0f, f2-1f, f2-2f, f2-3f, f3-3f are clear.
Action Reasoning: Moving "square0" from f2-0f to f3-1f will clear more space in the top rows and is a valid move since f3-1f is clear.
Diagram Encoding: 1. **rightl0 (L-shaped piece)**     - **Shape:** L-shaped, composed of three connected squares.     - **Position:** Occupies positions f3-2f, f4-2f, and f4-3f.     - **Size:** Spans vertically (2 height) and horizontally (2 width) in an L-shape.     - **Status:** Color is blue; outer edges are bold; occupied.     - **Text Identifiers:** "rightl0" positioned in each sub-square.  2. **straight0 (Two-square straight piece)**     - **Shape:** Straight line, composed of two connected squares.     - **Position:** Occupies positions f4-1f and f5-1f.     - **Size:** Spans vertically (2 height) and horizontally (1 width).     - **Status:** Color is green; outer edges are bold; occupied.     - **Text Identifiers:** "straight0" positioned in each sub-square.  3. **straight1 (Two-square straight piece)**     - **Shape:** Straight line, composed of two connected squares.     - **Position:** Occupies positions f3-2f and f4-2f.     - **Size:** Spans vertically (2 height) and horizontally (1 width).     - **Status:** Color is red; outer edges are bold; occupied.     - **Text Identifiers:** "straight1" positioned in each sub-square.  4. **square0 (One-square piece)**     - **Shape:** Single square.     - **Position:** Occupies position f3-1f.     - **Size:** Single unit.     - **Status:** Color is yellow; all edges are bold; occupied.     - **Text Identifiers:** "square0" positioned slightly higher in the square.  5. **square1 (One-square piece)**     - **Shape:** Single square.     - **Position:** Occupies position f3-0f.     - **Size:** Single unit.     - **Status:** Color is orange; all edges are bold; occupied.     - **Text Identifiers:** "square1" positioned slightly higher in the square.  6. **Grid Cells (Unoccupied)**     - **Shape:** Rectangular grid composed of individual squares.     - **Position:** Covers positions f0-0f, f0-1f, f0-2f, f0-3f, f1-0f, f1-1f, f1-2f, f1-3f, f2-0f, f2-1f, f2-2f, f2-3f, f3-3f.     - **Size:** Single unit for each grid cell.     - **Status:** Clear (no color).     - **Text Identifiers:** Each position marked with text (e.g., "f0-0f") located at the center of the square and labeled as "clear".
Diagram Code: import matplotlib.pyplot as plt
import matplotlib.patches as patches

# Create a figure and axis
fig, ax = plt.subplots(figsize=(6, 9))

# Define grid dimensions
rows, cols = 6, 4
grid_size = 1

# Define colors
colors = {
    'rightl0': 'blue',
    'straight0': 'green',
    'straight1': 'red',
    'square0': 'yellow',
    'square1': 'orange',
    'clear': 'white'
}

# Define piece positions for the child state
pieces = {
    'rightl0': [(3, 2), (4, 2), (4, 3)],
    'straight0': [(4, 1), (5, 1)],
    'straight1': [(3, 2), (4, 2)],
    'square0': [(3, 1)],
    'square1': [(3, 0)]
}

# Draw grid
for row in range(rows):
    for col in range(cols):
        # Determine if the cell is occupied and by which piece
        occupied = False
        piece_name = ''
        for name, positions in pieces.items():
            if (row, col) in positions:
                occupied = True
                piece_name = name
                break
        
        # Set color and text based on occupancy
        if occupied:
            color = colors[piece_name]
            status = 'occupied'
        else:
            color = colors['clear']
            status = 'clear'
        
        # Draw the rectangle
        rect = patches.Rectangle((col * grid_size, (rows - 1 - row) * grid_size), grid_size, grid_size, linewidth=1, edgecolor='black', facecolor=color)
        ax.add_patch(rect)

        # Add text
        text_color = 'black' if color in ['white', 'yellow', 'orange'] else 'white'
        ax.text(col * grid_size + 0.5 * grid_size, (rows - 1 - row) * grid_size + 0.7 * grid_size, piece_name if occupied else '', ha='center', va='center', color=text_color, fontsize=8, fontweight='bold')
        ax.text(col * grid_size + 0.5 * grid_size, (rows - 1 - row) * grid_size + 0.3 * grid_size, f"f{row}-{col}f\n{status}", ha='center', va='center', color=text_color, fontsize=6)

# Bold outer edges of pieces
for name, positions in pieces.items():
    for pos in positions:
        row, col = pos
        # Draw bold rectangle
        rect = patches.Rectangle((col * grid_size, (rows - 1 - row) * grid_size), grid_size, grid_size, linewidth=3, edgecolor='black', facecolor='none')
        ax.add_patch(rect)

# Set axis limits and aspect
ax.set_xlim(0, cols * grid_size)
ax.set_ylim(0, rows * grid_size)
ax.set_aspect('equal')

# Remove axes
ax.axis('off')

# Add legend
legend_elements = [
    patches.Patch(facecolor='blue', edgecolor='black', label='rightl0: occupied'),
    patches.Patch(facecolor='green', edgecolor='black', label='straight0: occupied'),
    patches.Patch(facecolor='red', edgecolor='black', label='straight1: occupied'),
    patches.Patch(facecolor='yellow', edgecolor='black', label='square0: occupied'),
    patches.Patch(facecolor='orange', edgecolor='black', label='square1: occupied'),
    patches.Patch(facecolor='white', edgecolor='black', label='clear: clear')
]
ax.legend(handles=legend_elements, loc='upper right', bbox_to_anchor=(1.2, 1))

# Save the figure
plt.savefig('<PATH_REMOVED>', bbox_inches='tight')
plt.show()
Diagram Picture Path: <PATH_REMOVED>
Cost: 9

