Created
April 15, 2016 07:36
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Examples for my post on converting recursion to stack
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def hanoi(n, fr, to, buf): | |
if (n == 0): | |
return | |
#print "deb", 'l', n, fr, to, buf | |
hanoi(n-1, fr, buf, to) | |
#print "deb", 'r', n, fr, to, buf | |
print "{} {}->{}".format(n, fr, to) | |
hanoi(n-1, buf, to, fr) | |
def hanoi_iter(n, fr, to, buf): | |
stack = list() #python's list can be used as stack | |
stack.append(('full', n, fr, to, buf)) | |
while len(stack) != 0: | |
op, n, fr, to, buf = stack.pop() | |
if n == 0: | |
continue | |
#print "deb", op, n, fr, to, buf | |
if op == 'step1': | |
print "{} {}->{}".format(n, fr, to) | |
stack.append(('full', n-1, buf, to, fr)) | |
else: | |
#saving the state | |
stack.append(('step1', n, fr, to, buf)) | |
stack.append(('full', n-1, fr, buf, to)) | |
def selectK(inp, k, start=0, to_add=[]): | |
if (len(inp) - start) < k or k < 0: | |
#invalid | |
return [] | |
if k == 0: | |
#one way to pick no elements; pick nothing; but add to_add | |
return [list(to_add)] | |
if (len(inp) - start) == k: | |
#only k present in the array, pick them all; add to_add | |
ret = list(to_add) | |
ret.extend(inp[start:]) | |
return [ret] | |
#Base cases done | |
#pick k elements in inp[start+1:] and not include inp[start] | |
without_pres = selectK(inp, k, start+1, to_add) | |
#step1(of stack solution) starts here | |
#pick k-1 elements in inp[start+1:] and include inp[start] | |
to_add.append(inp[start]) | |
with_pres = selectK(inp, k-1, start+1, to_add) | |
#step2(of stack solution) starts here | |
to_add.pop() | |
ret = with_pres | |
ret.extend(without_pres) | |
return ret | |
def selectK_iter(inp, k): | |
stack = list() | |
# 5 elements in the tuple | |
# (operation, k, start_of_list, to_add, extra_info) | |
stack.append(('full', k, 0, [], None)) | |
ret = None | |
while len(stack) != 0: | |
opn, k, start, to_add, extra = stack.pop() | |
if opn == 'full': | |
#base cases; replace returns in recursive version | |
#with assignments to tmp | |
if (len(inp) - start) < k or k < 0: | |
#invalid | |
ret = [] | |
continue | |
if k == 0: | |
#one way to pick no elements; | |
#pick nothing; but add to_add | |
ret = [list(to_add)] | |
continue | |
if (len(inp) - start) == k: | |
#only k present in the array, | |
#pick them all; add to_add | |
ret = list(to_add) | |
ret.extend(inp[start:]) | |
ret = [ret] | |
continue | |
#base cases Done | |
#save the state | |
stack.append(('step1', k, start, to_add, None)) | |
stack.append(('full', k, start+1, to_add, None)) | |
elif opn == 'step1': | |
to_add.append(inp[start]) | |
stack.append(('step2', k, start, to_add, ret)) | |
stack.append(('full', k-1, start+1, to_add, None)) | |
else: | |
to_add.pop() | |
with_pres = ret | |
without_pres = extra | |
with_pres.extend(without_pres) | |
ret = with_pres | |
return ret | |
print "hanoi size=3" | |
hanoi(3, 1, 2, 3) | |
print "hanoi iter size=3" | |
hanoi_iter(3, 1, 2, 3) | |
print "========" | |
print "selectK n=4, k=2" | |
print '\n'.join(map(str, selectK(range(4), 2))) | |
print "selectK iter n=4, k=2" | |
print '\n'.join(map(str, selectK_iter(range(4), 2))) |
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