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all possible subset combinations of a set
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# ===================================== | |
# calculate all possible subset for a set | |
# base prespective for n nested loop and other dynamic problems! | |
# for i in [0..2]: | |
# for j in [0..2]: | |
# for p in [0..2]: | |
# for q in [0..2]: | |
# 0 0 0 0 -> 0 0 0 2 -> 0 0 1 0 -> 0 0 1 2 | |
# 0000, 0001, 0002, 0010, 0011, 0012, 0020, ..., 2222, (1)0000 | |
# i j p q ...n ta... | |
# i1 i2 i3 ... in | |
# setlst = [[0,1,2], [0,1,2], [0,1,2]] | |
setlst = [["cs","wo","force", "shi"], ["cs","wo","force", "shi"], ["cs","wo","force", "shi"]] | |
n = len(setlst) | |
k = len(setlst[0]) | |
idx = 0 | |
lst = [] | |
# METHOD 1 | |
def select(): | |
global setlst, lst, idx | |
lst = [] | |
t = idx | |
for i in range(n): | |
lst.append(setlst[i][t%k]) | |
t = t//k | |
idx += 1 | |
return idx != n**k+1 | |
while select(): | |
print(lst, "=>" , idx, ''.join(str(i) for i in lst)) | |
# METHOD 2 | |
i = [0 for _ in range(0,n)] | |
def finished(): | |
global i | |
for j in i: | |
if j is not 0: | |
return False | |
return True | |
def check(): | |
global i, k, n | |
for j in range(len(i)): | |
if i[j] >= k: | |
i[j] = 0 | |
if j+1 < n: | |
i[j+1] += 1 | |
def inc(): | |
global i | |
i[0] += 1 | |
check() | |
def select(): | |
global setlst, i, n, k | |
tmp = [] | |
for j in range(len(i)): | |
yield setlst[j][i[j]] | |
print([m for m in select()]) | |
inc() | |
while not finished(): | |
print([m for m in select()]) | |
inc() | |
# METHOD 3 | |
def com(lst): | |
N = len(lst) | |
for i in range(2**N): | |
combo = [] | |
for j in range(N): | |
if (i >> j) % 2 == 1: | |
combo.append(lst[j]) | |
print(lst[j]) | |
yield combo | |
for i in com([1,2,3,5]): | |
print(i, ", ", end="") | |
# METHOD 4 : TODO: fix the bugs and make it faster!!!!!! use multi processing using some AI algo | |
import copy | |
lst = [ [1,2,3], [4,5,6], [7,8,9] ] | |
y, combo, lt = [], [], copy.deepcopy(lst) | |
def firstElem(lst): | |
if len(lst)>0: | |
lst.remove(lst[0]) | |
return lst | |
else: | |
return | |
def allCombo(lst): | |
global y, combo | |
if len(lst)>0: | |
a = lst[0][0] | |
while a is not None: | |
y.append(a) | |
allCombo(firstElem(lst)) | |
lt[0].remove(a) | |
a = lt[0][0] | |
lt.remove(lt[0]) | |
allCombo(lt) | |
else: | |
combo.append(y) | |
return combo | |
print(allCombo(lst)) | |
# ===================================== |
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