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										 |  |  | from typing import Dict, List, Set | 
					
						
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							|  |  |  | from BaseClasses import MultiWorld | 
					
						
							|  |  |  | from Options import TechTreeLayout | 
					
						
							|  |  |  | from worlds.factorio.Technologies import technology_table | 
					
						
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							|  |  |  | def get_shapes(world: MultiWorld, player: int) -> Dict[str, List[str]]: | 
					
						
							|  |  |  |     prerequisites: Dict[str, Set[str]] = {} | 
					
						
							|  |  |  |     layout = world.tech_tree_layout[player].value | 
					
						
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										 |  |  |     custom_technologies = world.custom_data[player]["custom_technologies"] | 
					
						
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										 |  |  |     if layout == TechTreeLayout.option_small_diamonds: | 
					
						
							|  |  |  |         slice_size = 4 | 
					
						
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										 |  |  |         tech_names: List[str] = list(set(custom_technologies) - world._static_nodes) | 
					
						
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										 |  |  |         tech_names.sort() | 
					
						
							|  |  |  |         world.random.shuffle(tech_names) | 
					
						
							|  |  |  |         while len(tech_names) > slice_size: | 
					
						
							|  |  |  |             slice = tech_names[:slice_size] | 
					
						
							|  |  |  |             tech_names = tech_names[slice_size:] | 
					
						
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										 |  |  |             slice.sort(key=lambda tech_name: len(custom_technologies[tech_name].ingredients)) | 
					
						
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										 |  |  |             diamond_0, diamond_1, diamond_2, diamond_3 = slice | 
					
						
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 | 
					
						
							|  |  |  |             #   0    | | 
					
						
							|  |  |  |             # 1   2  | | 
					
						
							|  |  |  |             #   3    V | 
					
						
							|  |  |  |             prerequisites[diamond_3] = {diamond_1, diamond_2} | 
					
						
							|  |  |  |             prerequisites[diamond_2] = prerequisites[diamond_1] = {diamond_0} | 
					
						
							|  |  |  |     elif layout == TechTreeLayout.option_medium_diamonds: | 
					
						
							|  |  |  |         slice_size = 9 | 
					
						
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										 |  |  |         tech_names: List[str] = list(set(custom_technologies) - world._static_nodes) | 
					
						
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										 |  |  |         tech_names.sort() | 
					
						
							|  |  |  |         world.random.shuffle(tech_names) | 
					
						
							|  |  |  |         while len(tech_names) > slice_size: | 
					
						
							|  |  |  |             slice = tech_names[:slice_size] | 
					
						
							|  |  |  |             tech_names = tech_names[slice_size:] | 
					
						
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										 |  |  |             slice.sort(key=lambda tech_name: len(custom_technologies[tech_name].ingredients)) | 
					
						
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										 |  |  | 
 | 
					
						
							|  |  |  |             #     0     | | 
					
						
							|  |  |  |             #   1   2   | | 
					
						
							|  |  |  |             # 3   4   5 | | 
					
						
							|  |  |  |             #   6   7   | | 
					
						
							|  |  |  |             #     8     V | 
					
						
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 | 
					
						
							|  |  |  |             prerequisites[slice[1]] = {slice[0]} | 
					
						
							|  |  |  |             prerequisites[slice[2]] = {slice[0]} | 
					
						
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 | 
					
						
							|  |  |  |             prerequisites[slice[3]] = {slice[1]} | 
					
						
							|  |  |  |             prerequisites[slice[4]] = {slice[1], slice[2]} | 
					
						
							|  |  |  |             prerequisites[slice[5]] = {slice[2]} | 
					
						
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 | 
					
						
							|  |  |  |             prerequisites[slice[6]] = {slice[3], slice[4]} | 
					
						
							|  |  |  |             prerequisites[slice[7]] = {slice[4], slice[5]} | 
					
						
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 | 
					
						
							|  |  |  |             prerequisites[slice[8]] = {slice[6], slice[7]} | 
					
						
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 | 
					
						
							|  |  |  |     elif layout == TechTreeLayout.option_pyramid: | 
					
						
							|  |  |  |         slice_size = 1 | 
					
						
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										 |  |  |         tech_names: List[str] = list(set(custom_technologies) - world._static_nodes) | 
					
						
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										 |  |  |         tech_names.sort() | 
					
						
							|  |  |  |         world.random.shuffle(tech_names) | 
					
						
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										 |  |  |         tech_names.sort(key=lambda tech_name: len(custom_technologies[tech_name].ingredients)) | 
					
						
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										 |  |  |         previous_slice = [] | 
					
						
							|  |  |  |         while len(tech_names) > slice_size: | 
					
						
							|  |  |  |             slice = tech_names[:slice_size] | 
					
						
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										 |  |  |             world.random.shuffle(slice) | 
					
						
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										 |  |  |             tech_names = tech_names[slice_size:] | 
					
						
							|  |  |  |             for i, tech_name in enumerate(previous_slice): | 
					
						
							|  |  |  |                 prerequisites.setdefault(slice[i], set()).add(tech_name) | 
					
						
							|  |  |  |                 prerequisites.setdefault(slice[i + 1], set()).add(tech_name) | 
					
						
							|  |  |  |             previous_slice = slice | 
					
						
							|  |  |  |             slice_size += 1 | 
					
						
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 | 
					
						
							|  |  |  |     elif layout == TechTreeLayout.option_funnel: | 
					
						
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										 |  |  |         tech_names: List[str] = list(set(custom_technologies) - world._static_nodes) | 
					
						
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										 |  |  |         # find largest inverse pyramid | 
					
						
							|  |  |  |         # https://www.wolframalpha.com/input/?i=x+=+1/2+(n++++1)+(2++++n)+solve+for+n | 
					
						
							|  |  |  |         import math | 
					
						
							|  |  |  |         slice_size = int(0.5*(math.sqrt(8*len(tech_names)+1)-3)) | 
					
						
							|  |  |  |         tech_names.sort() | 
					
						
							|  |  |  |         world.random.shuffle(tech_names) | 
					
						
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										 |  |  |         tech_names.sort(key=lambda tech_name: len(custom_technologies[tech_name].ingredients)) | 
					
						
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										 |  |  |         previous_slice = [] | 
					
						
							|  |  |  |         while slice_size: | 
					
						
							|  |  |  |             slice = tech_names[:slice_size] | 
					
						
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										 |  |  |             world.random.shuffle(slice) | 
					
						
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										 |  |  |             tech_names = tech_names[slice_size:] | 
					
						
							|  |  |  |             if previous_slice: | 
					
						
							|  |  |  |                 for i, tech_name in enumerate(slice): | 
					
						
							|  |  |  |                     prerequisites.setdefault(tech_name, set()).update(previous_slice[i:i+2]) | 
					
						
							|  |  |  |             previous_slice = slice | 
					
						
							|  |  |  |             slice_size -= 1 | 
					
						
							|  |  |  | 
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							|  |  |  |     world.tech_tree_layout_prerequisites[player] = prerequisites | 
					
						
							|  |  |  |     return prerequisites |