Four wheel drive bobbycar
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#!/usr/bin/env python3
import numpy as np
import csv
import itertools
import math
import scipy.special
#o(n) = (n-1) * o(n-2) <- pairs
def number_pairs(size):
if size<2:
return 1
n=size-1
return n*number_pairs(size-2)
#https://stackoverflow.com/questions/5360220/how-to-split-a-list-into-pairs-in-all-possible-ways
def all_pairs(lst):
if len(lst) < 2:
yield lst
return
a = lst[0]
for i in range(1,len(lst)):
pair = (a,lst[i])
for rest in all_pairs(lst[1:i]+lst[i+1:]):
yield [pair] + rest
def all_triples(lst):
if len(lst) < 3:
yield lst
return
a = lst[0]
for i in range(1,len(lst)):
for j in range(i+1,len(lst)):
pair = (a,lst[i],lst[j])
for rest in all_triples(lst[1:i]+lst[i+1:j]+lst[j+1:]):
yield [pair] + rest
def all_quadruples(lst):
if len(lst) < 4:
yield lst
return
a = lst[0]
for i in range(1,len(lst)):
for j in range(i+1,len(lst)):
for k in range(j+1,len(lst)):
pair = (a,lst[i],lst[j],lst[k])
for rest in all_quadruples(lst[1:i]+lst[i+1:j]+lst[j+1:k]+lst[k+1:]):
yield [pair] + rest
#a=[1,2,3,4]
a=[1,2,3,4,5,6]
print(number_pairs(24))
count=0
for i in all_pairs(a):
count+=1
#print(i)
print(count)