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z{*{l5?bo>h>kr2Dt1KJ{_TSeF1fc#h9w(rxU)Ju`difQvpqw!1ulRRG`%MR&Ft(rf zJbPPR6LSMw;0p>Mu!4!J!PUMBmIq8P(03CDFj>Sc4Xr@mt&ppRFz5*n94;y<3gZ&x z65(VM;1UuP5aJXRh6%GnL=i$Ff^1Me(0^vp1Oe8h-IdAreLn|8<=}*4($b2^iemmB Di+nj{ literal 0 HcmV?d00001 diff --git a/Blatt2/Knapsack.py b/Blatt2/Knapsack.py new file mode 100644 index 0000000..2ec75b6 --- /dev/null +++ b/Blatt2/Knapsack.py @@ -0,0 +1,129 @@ +import numpy as np + +#config: +solve_brute_force = True +solve_dynamic = False + +# item: +# name weight value +weight = 1 +value = 2 + +def dynamic(items: list, capacity: int) -> list: + num_items = len(items) + array = np.zeros(shape=(num_items+1, capacity), dtype=int) + for row, item in enumerate(items, start=1): + help_row = np.array[num_items] + for j, column in range(item[weight], capacity+1): + if item[1] >= j: + prev_weight = array[row-1] + if prev_weight + item[weight] <= column: + help_row[column] = prev_weight + item[weight] + + pass #! + + +def traverse(items: list, max_weight: int, bits: list, level: int, depth: int, best_value, best_bits: list) -> list: + # Abbruchbedingung + weight = 0 + value = 0 + for i, item in enumerate(items): + if bits[i]: + weight += item[1] + value += item[2] + + # teste ob wert besser + if value >= best_value[0] and weight < max_weight: + best_value[0] = value + best_bits[0] = bits.copy() + + # gehe nicht tiefer + if level == depth: + # Ausgabe des Bitmusters + # print(bits) + return + + # traversiere links + bits[level] = 1 + traverse(items=items, + max_weight=max_weight, + bits=bits, + level=level+1, + depth=depth, + best_value=best_value, + best_bits=best_bits) + + # Aufräumen + bits[level] = 0 + + # traversiere rechts + #bits[level] = 0 + traverse(items=items, + max_weight=max_weight, + bits=bits, + level=level+1, + depth=depth, + best_value=best_value, + best_bits=best_bits) + +def brute(items: list, capacity: int) -> list: + mybits = [] + best_bits = [] + for i in range(len(items)): + mybits.append(0) + + best_bits.append([]) + best_bits[0] = mybits.copy() + best_value = [0] + + traverse(items=items, + max_weight=capacity, + bits=mybits, + level=0, + depth=len(items), + best_value=best_value, + best_bits=best_bits) + + print(best_bits) + gewicht = 0 + for i, item in enumerate(items): + if best_bits[0][i]: + gewicht += item[1] + print(item[0]) + print('Gewicht: ', gewicht) + print('Wert: ', best_value[0]) + +def parse_data_file(path: str) -> list: + items = [] + with open(file=path, mode='r') as file: + for line in file: + entries = line.split('\t') + if entries[0] != 'i': + items.append((str(entries[0]), int(entries[1]), int(entries[2]))) + return items + +def get_items(file_path: str = None) -> list: + if file_path == None: + return [ + ('map', 9, 150), ('compass', 13, 35), ('water', 153, 200), ('sandwich', 50, 160), + ('glucose', 15, 60), ('tin', 68, 45), ('banana', 27, 60), ('apple', 39, 40), + ('cheese', 23, 30), ('beer', 52, 10), ('suntan cream', 11, 70), ('camera', 32, 30), + ('t-shirt', 24, 15), ('trousers', 48, 10), ('umbrella', 73, 40), + ('waterproof trousers', 42, 70), ('waterproof overclothes', 43, 75), + ('note-case', 22, 80), ('sunglasses', 7, 20), ('towel', 18, 12), ('socks', 4, 50), + ('book', 30, 10) # courtesy https://rosettacode.org/wiki/Knapsack_problem/0-1 + ] + else: + return parse_data_file(file_path) + +if __name__ == "__main__": + + if solve_brute_force: + items = get_items() + brute(items, 500) + + if solve_dynamic: + items = get_items("Blatt2/knapsack01.data") + dynamic(items, 10000) + + \ No newline at end of file diff --git a/Blatt2/Rucksack_dynamischeProgrammierung.pdf b/Blatt2/Rucksack_dynamischeProgrammierung.pdf new file mode 100644 index 0000000000000000000000000000000000000000..2cfec5e891f172a33a7e191d958badd54abe4311 GIT binary patch literal 778899 zcmeEu2SC%w@_+1#^=zD?f{F!DQXmOI%7xxr=!je(g-{X*Ap{U|>IsSp3W^E>N>c$* zx{4Y-P?Tb&S81YD5vhUXzX@VH@4UPBy#IUecaePkX1_b1-JPACotd3vlZl4bcDO83 zWYgpFyVW9am;_9M=IA1#q$C10_w^u3K&_1(U5HK$5h%{vks&P6qS4(&plWI~mV}+4 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