3b1b-manim/active_projects/eop/chapter2.py

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2018-04-15 20:26:37 +02:00
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()