Let's arrange a deck of cards. There are totally 36 cards of 4 suits(S, H, C, D) and 9 values (1, 2, ... 9). For example, 'eight of heart' is represented by H8 and 'one of diamonds' is represented by D1.  Your task is to write a program which sorts a given set of cards in ascending order by their values using the Bubble Sort algorithms and the Selection Sort algorithm respectively. These algorithms should be based on the following pseudocode:                 BubbleSort(C) 1 for i = 0 to C.length-1 2     for j = C.length-1 downto i+1 3         if C[j].value < C[j-1].value 4             swap C[j] and C[j-1]                 SelectionSort(C) 1 for i = 0 to C.length-1 2     mini = i 3     for j = i to C.length-1 4         if C[j].value < C[mini].value 5             mini = j 6     swap C[i] and C[mini]   Note that, indices for array elements are based on 0-origin.  For each algorithm, report the stability of the output for the given input (instance). Here, 'stability of the output' means that: cards with the same value appear in the output in the same order as they do in the input (instance).
N = int(input())
array = list(input().split())
array2 = array[:]
array3 = array[:]

def bubble_sort(array, N):
	flag = 1
	i = 0
	while flag:
		flag = 0 
		j = N-1
		while j > i:
			if array[j][1] < array[j-1][1]:
				array[j], array[j-1] = array[j-1], array[j]
			j -= 1
			flag = 1
		i += 1


def selection_sort(array, n):
	for i in range(n):
		minij = i 
		for j in range(i, n):
			if array[j][1] < array[minij][1]:
			    minij = j 
		array[i], array[minij] = array[minij], array[i]

def is_stable(Input, output, n):
	for i in range(n):
		for j in range(i+1, n):
			for a in range(n):
				for b in range(a+1, n):
					if Input[i][1] == Input[j][1] and Input[i][1] == output[b][1] and Input[j][1] == output[a][1]:
						return False
	return True 

bubble_sort(array, N)
print(' '.join(array))
print('Stable')
selection_sort(array2,N)
print(' '.join(array2))
if is_stable(array3, array2, N):
	print('Stable')
else:
	print('Not Stable')






N = int(input())
array = list(input().split())
array2 = array[:]
array3 = array[:]

def bubble_sort(array, N):
	flag = 1
	i = 0
	while flag:
		flag = 0 
		j = N-1
		while j > i:
			if array[j][1] < array[j-1][1]:
				array[j], array[j-1] = array[j-1], array[j]
			j -= 1
			flag = 1
		i += 1


def selection_sort(array, n):
	for i in range(n):
		minij = i 
		for j in range(i, n):
			if array[j][1] < array[minij][1]:
			    minij = j 
		array[i], array[minij] = array[minij], array[i]

def is_stable(Input, output, n):
	for i in range(n):
		for j in range(i+1, n):
			for a in range(n):
				for b in range(a+1, n):
					if Input[i][1] == Input[j][1] and Input[i] == output[b] and Input[j] == output[a]:
						return False
	return True 

bubble_sort(array, N)
print(' '.join(array))
print('Stable')
selection_sort(array2,N)
print(' '.join(array2))
if is_stable(array3, array2, N):
	print('Stable')
else:
	print('Not stable')





