The aim is to find groups of increasing/monotonic numbers given a list of integers. Each item in the resulting group must be of a +1 increment from the previous item
Given an input:
x = [7, 8, 9, 10, 6, 0, 1, 2, 3, 4, 5]
I need to find groups of increasing numbers and achieve:
increasing_numbers = [(7,8,9,10), (0,1,2,3,4,5)]
And eventually also the number of increasing numbers:
len(list(chain(*increasing_numbers)))
And also the len of the groups:
increasing_num_groups_length = [len(i) for i in increasing_numbers]
I have tried the following to get the number of increasing numbers:
>>> from itertools import tee, chain
>>> def pairwise(iterable):
... a, b = tee(iterable)
... next(b, None)
... return zip(a, b)
...
>>> x = [8, 9, 10, 11, 7, 1, 2, 3, 4, 5, 6]
>>> set(list(chain(*[(i,j) for i,j in pairwise(x) if j-1==i])))
set([1, 2, 3, 4, 5, 6, 8, 9, 10, 11])
>>> len(set(list(chain(*[(i,j) for i,j in pairwise(x) if j-1==i]))))
10
But I'm unable to keep the order and the groups of increasing numbers.
How can I achieve the increasing_numbers groups of integer tuples and also the increasing_num_groups_length?
Also, is there a name for such/similar problem?
I've came up with this solution but it's super verbose and I'm sure there's an easier way to achieve the increasing_numbers output:
>>> from itertools import tee, chain
>>> def pairwise(iterable):
... a, b = tee(iterable)
... next(b, None)
... return zip(a, b)
...
>>> x = [8, 9, 10, 11, 7, 1, 2, 3, 4, 5, 6]
>>> boundary = iter([0] + [i+1 for i, (j,k) in enumerate(pairwise(x)) if j+1!=k] + [len(x)])
>>> [tuple(x[i:next(boundary)]) for i in boundary]
[(8, 9, 10, 11), (1, 2, 3, 4, 5, 6)]
Is there a more pythonic / less verbose way to do this?
Another input/output example:
[in]:
[17, 17, 19, 20, 21, 22, 0, 1, 2, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 14, 28, 29, 30, 31, 32, 33, 34, 35, 36, 40]
[out]:
[(19, 20, 21, 22), (0, 1, 2), (4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14), (28, 29, 30, 31, 32, 33, 34, 35, 36)]
A couple of different ways using itertools and numpy:
from itertools import groupby, tee, cycle
x = [17, 17, 19, 20, 21, 22, 0, 1, 2, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 14, 14, 28, 29, 30, 31, 32, 33, 34, 35,
36, 1, 2, 3, 4,34,54]
def sequences(l):
x2 = cycle(l)
next(x2)
grps = groupby(l, key=lambda j: j + 1 == next(x2))
for k, v in grps:
if k:
yield tuple(v) + (next((next(grps)[1])),)
print(list(sequences(x)))
[(19, 20, 21, 22), (0, 1, 2), (4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14), (28, 29, 30, 31, 32, 33, 34, 35, 36), (1, 2, 3, 4)]
Or using python3 and yield from:
def sequences(l):
x2 = cycle(l)
next(x2)
grps = groupby(l, key=lambda j: j + 1 == next(x2))
yield from (tuple(v) + (next((next(grps)[1])),) for k,v in grps if k)
print(list(sequences(x)))
Using a variation of my answer here with numpy.split :
out = [tuple(arr) for arr in np.split(x, np.where(np.diff(x) != 1)[0] + 1) if arr.size > 1]
print(out)
[(19, 20, 21, 22), (0, 1, 2), (4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14), (28, 29, 30, 31, 32, 33, 34, 35, 36), (1, 2, 3, 4)]
And similar to ekhumoro's answer:
def sequences(x):
it = iter(x)
prev, temp = next(it), []
while prev is not None:
start = next(it, None)
if prev + 1 == start:
temp.append(prev)
elif temp:
yield tuple(temp + [prev])
temp = []
prev = start
To get the length and the tuple:
def sequences(l):
x2 = cycle(l)
next(x2)
grps = groupby(l, key=lambda j: j + 1 == next(x2))
for k, v in grps:
if k:
t = tuple(v) + (next(next(grps)[1]),)
yield t, len(t)
def sequences(l):
x2 = cycle(l)
next(x2)
grps = groupby(l, lambda j: j + 1 == next(x2))
yield from ((t, len(t)) for t in (tuple(v) + (next(next(grps)[1]),)
for k, v in grps if k))
def sequences(x):
it = iter(x)
prev, temp = next(it), []
while prev is not None:
start = next(it, None)
if prev + 1 == start:
temp.append(prev)
elif temp:
yield tuple(temp + [prev]), len(temp) + 1
temp = []
prev = start
Output will be the same for all three:
[((19, 20, 21, 22), 4), ((0, 1, 2), 3), ((4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14), 11)
, ((28, 29, 30, 31, 32, 33, 34, 35, 36), 9), ((1, 2, 3, 4), 4)]