In genetics a reading frame is a way to divide a sequence of nucleotides (DNA bases) into a set of consecutive non-overlapping triplets (also called codon). Each of this triplets is translated into an amino-acid during a translation process to create proteins.

Input
---
In a single strand of DNA you find 3 Reading frames, take for example the following input sequence:

    AGGTGACACCGCAAGCCTTATATTAGC
    
Output
---
For the output we are going to take the combinations and show them in the following manner:

````
Frame 1: AGG TGA CAC CGC AAG CCT TAT ATT AGC
Frame 2: A GGT GAC ACC GCA AGC CTT ATA TTA GC
Frame 3: AG GTG ACA CCG CAA GCC TTA TAT TAG C
````

For frame 1 split all of them in groups of three starting by the first base (letter).

For frame 2 split all of them in groups of three starting by the second base (letter) but having the first base (letter) at the beggining.

For frame 3 split all of them in groups of three starting by the third letter, but having the first and second bases (letters) at the beginning in the same order.

Series
---

1. [Decompose single strand DNA into 3 reading frames](http://www.codewars.com/kata/57507369b0b6d1b5a60001b3)

2. [Decompose double strand DNA into 6 reading frames](http://www.codewars.com/kata/57519060f2dac7ec95000c8e/)

3.  [Translate DNA to protein in 6 frames](http://www.codewars.com/kata/5708ef48fe2d018413000776)

Difficulty: EASY
Starter code: def decompose_single_strand(single_strand):
	

Solutions:
def decompose_single_strand(dna):
	return '\n'.join(('Frame {}: {}'.format(k + 1, frame(dna, k)) for k in range(3)))

def frame(s, k):
	return ' '.join(([s[:k]] if k else []) + [s[i:i + 3] for i in range(k, len(s), 3)])


def decompose_single_strand(single_strand):
	f1 = 'Frame 1: {}'.format(decompose(single_strand))
	f2 = 'Frame 2: {} {}'.format(single_strand[:1], decompose(single_strand[1:]))
	f3 = 'Frame 3: {} {}'.format(single_strand[:2], decompose(single_strand[2:]))
	return '\n'.join([f1, f2, f3])

def decompose(strand):
	return ' '.join([strand[i:i + 3] for i in range(0, len(strand), 3)])


def decompose_single_strand(s):
	F1 = []
	F2 = [s[0]]
	F3 = [s[:2]]
	for i in range(0, len(s), 3):
		F1.append(s[i:i + 3])
	F1 = ' '.join(F1)
	for i in range(1, len(s), 3):
		F2.append(s[i:i + 3])
	F2 = ' '.join(F2)
	for i in range(2, len(s), 3):
		F3.append(s[i:i + 3])
	F3 = ' '.join(F3)
	return 'Frame 1: ' + F1 + '\n' + 'Frame 2: ' + F2 + '\n' + 'Frame 3: ' + F3


def decompose_single_strand(ar):
	i = []
	t = []
	th = []
	for (x, y, z) in zip(ar[0::3], ar[1::3], ar[2::3]):
		i.append(x + y + z)
	for (x, y, z) in zip(ar[1::3], ar[2::3], ar[3::3]):
		t.append(x + y + z)
	for (x, y, z) in zip(ar[2::3], ar[3::3], ar[4::3]):
		th.append(x + y + z)
	if len(ar) == 3:
		return 'Frame 1: ' + ' '.join(i) + '\n' + 'Frame 2: ' + str(ar[0]) + ' ' + str(ar[-2:]) + '\nFrame 3: ' + str(ar[0:2]) + ' ' + str(ar[-1])
	else:
		return 'Frame 1: ' + ' '.join(i) + '\n' + 'Frame 2: ' + str(ar[0]) + ' ' + ' '.join(t) + ' ' + str(ar[-2:]) + '\nFrame 3: ' + str(ar[0:2]) + ' ' + ' '.join(th) + ' ' + str(ar[-1])


def decompose_single_strand(single_strand):
	frame1 = 'Frame 1:'
	frame2 = 'Frame 2:'
	frame3 = 'Frame 3:'
	i = 0
	while i in range(len(single_strand)):
		frame1 += ' ' + single_strand[i:i + 3]
		i += 3
	i = 1
	frame2 += ' ' + single_strand[0]
	while i in range(len(single_strand)):
		frame2 += ' ' + single_strand[i:i + 3]
		i += 3
	i = 2
	frame3 += ' ' + single_strand[0:2]
	while i in range(len(single_strand)):
		frame3 += ' ' + single_strand[i:i + 3]
		i += 3
	frames = frame1 + '\n' + frame2 + '\n' + frame3
	return frames


decompose_single_strand = lambda d: '\n'.join(('Frame %d: %s' % (4 - i, ' '.join(map(''.join, zip(*[iter(' ' * i + d + '  ')] * 3))).strip()) for i in (3, 2, 1)))


def decompose_single_strand(single_strand):
	string1 = [single_strand[i:i + 3] for i in range(0, len(single_strand), 3)]
	string2 = [single_strand[i:i + 3] if i != 0 else single_strand[i] for i in [0] + list(range(1, len(single_strand), 3))]
	string3 = [single_strand[i:i + 3] if i > 1 else single_strand[:i + 1] for i in [1] + list(range(2, len(single_strand), 3))]
	Frame = 'Frame 1: ' + ' '.join(string1) + '\nFrame 2: ' + ' '.join(string2) + '\nFrame 3: ' + ' '.join(string3)
	return Frame


import re

def decompose_single_strand(single_strand):
	return '\n'.join(('Frame {}: {}'.format(i, ' '.join((m.group() for m in re.finditer(r, single_strand)))) for (i, r) in enumerate(['...', '^.|...|..$', '^..|...|.$'], 1)))


decompose_single_strand = lambda s: '\n'.join(('Frame %s: %s' % (i + 1, ' '.join(([s[:i]] if i else []) + [s[q:q + 3] for q in range(i, len(s), 3)])) for i in range(3)))


def decompose_single_strand(single_strand):
	frame1 = []
	frame2 = [single_strand[0]]
	frame3 = [single_strand[0:2]]
	for i in range(0, len(single_strand) - 2, 3):
		frame1.append(single_strand[i:i + 3])
		frame2.append(single_strand[i + 1:i + 4])
		frame3.append(single_strand[i + 2:i + 5])
	return 'Frame 1: {}\nFrame 2: {}\nFrame 3: {}'.format(' '.join(frame1), ' '.join(frame2), ' '.join(frame3))