from big_ol_pile_of_manim_imports import * def print_permutation(index_list): n = max(max(index_list), len(index_list)) for i in range(0,n): if index_list[i] > n - i: raise Exception("Impossible indices!") #print "given index list:", index_list perm_list = n * ["_"] alphabet = ["A", "B", "C", "D", "E", "F", "G", "H", "I", "J", "K", "L", "M", "N", "O", "P", "Q", "R", "S", "T", "U", "V", "W", "X", "Y", "Z"] free_indices = range(n) free_indices_p1 = range(1,n + 1) #print perm_list for i in range(n): findex = index_list[i] - 1 #print "place next letter at", findex + 1, "th free place" tindex = free_indices[findex] #print "so at position", tindex + 1 perm_list[tindex] = alphabet[i] free_indices.remove(tindex) free_indices_p1.remove(tindex + 1) #print "remaining free places:", free_indices_p1 #print perm_list return "".join(perm_list) N = 5 index_list = [] for i in range(1, N + 1): index_list.append(i) for j in range(1, N): index_list.append(j) for k in range(1, N - 1): index_list.append(k) for l in range(1, N - 2): index_list.append(l) for m in range(1, N - 3): index_list.append(m) print print_permutation(index_list) index_list.pop() index_list.pop() index_list.pop() index_list.pop() index_list.pop()