From 59148c55deab9a65a047329586f3d849ba17d581 Mon Sep 17 00:00:00 2001 From: TheSinay Date: Tue, 26 Nov 2024 11:31:39 +0100 Subject: [PATCH] ex3 fait --- ex3_TD4.py | 101 +++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 101 insertions(+) create mode 100644 ex3_TD4.py diff --git a/ex3_TD4.py b/ex3_TD4.py new file mode 100644 index 0000000..5751726 --- /dev/null +++ b/ex3_TD4.py @@ -0,0 +1,101 @@ +def insertion_sort(array): + for i in range(1, len(array)): + key = array[i] + j = i - 1 + while j >= 0 and array[j] > key: + array[j + 1] = array[j] + j -= 1 + array[j + 1] = key + return array + +def total_sum(array): + if isinstance(array[0], int): + return sum(array) + return sum(total_sum(subarray) for subarray in array) # Si tableau multidimensionnel + + +def sort_with_sum(array): + for i in range(1, len(array)): + key = array[i] + key_sum = total_sum(key) + j = i - 1 + # Réorganise les sous-tableaux en fonction de leur somme + while j >= 0 and total_sum(array[j]) > key_sum: + array[j + 1] = array[j] + j -= 1 + array[j + 1] = key + + return array + + + +def sort_nd_array(array): + # Si le tableau est de dimension 1, tri simple par insertion + if isinstance(array[0], int): + return insertion_sort(array) + + # Si le tableau est multidimensionnel, on trie récursivement les sous-tableaux + sorted_subarrays = [sort_nd_array(subarray) for subarray in array] + + sorted_subarrays = sort_with_sum(sorted_subarrays) + + return sorted_subarrays + + +def print_nd_array(array, level=0): + """ + Affiche un tableau N-dimensionnel de manière lisible. + """ + if isinstance(array[0], int): # Si tableau 1D + print(" " * level + str(array)) + else: # Tableau multidimensionnel + print(" " * level + "[") + for subarray in array: + print_nd_array(subarray, level + 1) + print(" " * level + "]") + + +def main(): + # Exemple 1 : Tableau 2D + array_2d = [[0, 3, 2], [9, 4, 5], [4, 1, 3]] + print("Tableau 2D avant tri :") + print_nd_array(array_2d) + result_2d = sort_nd_array(array_2d) + print("Tableau 2D après tri :") + print_nd_array(result_2d) + + # Exemple 2 : Tableau 3D + array_3d = [ + [[3, 1], [4, 2], [1, 3]], + [[5, 7], [2, 8], [9, 4]], + [[0, 0], [1, 1], [1, 0]] + ] + print("\nTableau 3D avant tri :") + print_nd_array(array_3d) + result_3d = sort_nd_array(array_3d) + print("Tableau 3D après tri :") + print_nd_array(result_3d) + + # Exemple 3 : Tableau 4D + array_4d = [ + [ + [[1, 3], [4, 5], [2, 2]], + [[7, 8], [5, 6], [3, 4]] + ], + [ + [[9, 1], [6, 7], [8, 3]], + [[2, 5], [7, 3], [9, 9]] + ], + [ + [[3, 3], [2, 1], [5, 6]], + [[4, 2], [8, 7], [3, 9]] + ] + ] + print("\nTableau 4D avant tri :") + print_nd_array(array_4d) + result_4d = sort_nd_array(array_4d) + print("Tableau 4D après tri :") + print_nd_array(result_4d) + +if __name__ == "__main__": + main()