def makeArrayConsecutive(sequence):
# """
# First solution with time complexity O(n^2)
# in: array of int
# out: a sorted array of int containing missing digits
# Find a set in a way that its union with sequence contains every integer missing from the array
#
# 1. sort the input array
# a. use heap or merge sort (both have O(nlgn) time complexity)
# 2. create an array to store missing elements, called it missing_items
# 3. iterate over the sequence array, repeat following steps for each item in the array
# a. use current item as min and next item as max
# b. make a range from min and max while excluding min and max
# c. append the result in missing_items
# 4. return missing_items array
# """
# mergeSort(sequence)
# missing_items = []
# for i in range(len(sequence)):
# mi = sequence[i]
# if sequence[i] != sequence[-1]: ## check if we are not at the last index
# ma = sequence[i+1]
# else:
# break ## if last index is reached break out of the for loop
# res = [x for x in range(mi+1, ma)] ## make a range between min and max while excluding min and max
# if res: ## if res is not empty and there are digits between min and max, then add it to the result
# ## in python the order with which we union the arrays will be preserved in the result array, hence we do not need to sort it again
# missing_items += res
# return missing_items
"""
Second solution with time complexity: O(2n)
1. sort the array and call it sorted_array
2. create a new array called missing_items
3. create a dictionary called it my_dict
4. iterate over the items in the input array
5. use the array items as the dictionary keys with value is equal to True
6. iterate over the range from first to the last item in sorted_array
try to access the dictionary if the key (item) exist
if the key does not exist, append the item to the result
7. return result
"""
mergeSort(sequence)
missing_items = []
my_dict = {}
for x in sequence:
my_dict[x] = True
for i in range(sequence[0], sequence[-1]):
try:
if my_dict[i]:
pass
except KeyError:
missing_items.append(i)
return missing_items
def start():
global data
if var.get() == OptionList[0]:
bub_sort(data, drawdata, speed.get())
if var.get() == OptionList[1]:
mergeSort(data, 0, int(data_size.get()) - 1, drawdata, speed.get())
if var.get() == OptionList[2]:
insertionSort(data, drawdata, speed.get())
if var.get() == OptionList[3]:
quickSort(data, 0, int(data_size.get()) - 1, drawdata, speed.get())
def sortAndTimeList(some_list): #insert sort start_time = time.time() insertSort(list(some_list)) insert_sort_time = round(((time.time() - start_time) * 1000), 4) # converts to milliseconds and rounds to 4 decimals #merge sort start_time = time.time() mergeSort(list(some_list)) merge_sort_time = round(((time.time() - start_time) * 1000), 4) # converts to milliseconds and rounds to 4 decimals times = [insert_sort_time, merge_sort_time] return times
def calculateDistance(user_x, user_y, canteen):
# Create an empty list to append unsorted canteen names and their linear distances from the user
canteen_distance_unsorted = []
# Loop to extract location of each canteen
for ID in list(canteen.keys()):
# Extract x-coordinate of canteen looped from canteen database
canteen_x = canteen[ID]["x_coordinate"]
# Extract y-coordinate of canteen looped from canteen databse
canteen_y = canteen[ID]["y_coordinate"]
# Calculate the horizontal component of the distance between the user and the canteen looped
distance_x = abs(user_x - canteen_x)
# Calculate the vertical component of the distance between the user and the canteen looped
distance_y = abs(user_y - canteen_y)
# Calculate the total linear distance between the user and the canteen looped
distance = sqrt(distance_x**2 + distance_y**2)
# Append canteen name and its linear distance from the user into a list
canteen_distance_unsorted.append([canteen[ID]["name"], distance])
# Sort list by distances (ascending)
canteen_dist_sorted = mergeSort(canteen_distance_unsorted)
# Return the sorted list of canteen names and their linear distances from the user
return canteen_dist_sorted
def methodTester(sortMethod, baseSize=10):
#store the sorted file names
sorted_files = []
# Create the random number files
files = _fileCreator(baseSize)
# Create the time table file
timing_file = open(str(sortMethod) + "Sort_test_times", 'w')
timing_file.write("Input Size (n): Time cost:")
# For each of the files:
for file in files:
# Create a list from the numbers stored in the file
number_list = _fileToList(file)
number_count = len(number_list)
for i in range(number_count):
number_list[i] = float(number_list[i])
# Create the file to store the sorted list
sortedFileName = str(file) + "_" + sortMethod + "sort_sorted"
sorted_files.append(sortedFileName)
sortedFile = open(sortedFileName, 'w')
# Check sorting method, then sort while timing
if sortMethod == 'merge':
start_time = time.time()
numberListSorted = mSort.mergeSort(number_list, 1,
len(number_list))
stop_time = time.time()
elif sortMethod == 'quick':
start_time = time.time()
numberListSorted = qSort.quickSort(number_list, 0,
len(number_list) - 1)
stop_time = time.time()
elif sortMethod == 'insertion':
start_time = time.time()
numberListSorted = iSort.insertionSort(number_list,
len(number_list))
stop_time = time.time()
else:
print('''Uh oh, the provided sort method has yet to be implemented!
Please use either 'merge', 'quick', or 'insertion'.\n''')
# Store the sorted list in its respective file
sortedFile.write(str(numberListSorted))
sortedFile.close()
# Calculate the time taken, then add it to the timing file
sort_time = stop_time - start_time
timing_file.write("\n" + str(number_count) + " " + str(sort_time))
# Close the timing file, and prompt the user on whether
# or not to delete the created files used to calculate
# the timing data.
timing_file.close()
files.extend(sorted_files)
_askDelete(files)
def main():
L = readInput()
while True:
s = raw_input('sort by firstname or lastname, enter <f/l>: ')
if s == 'f' or s == 'l':
break
else:
print 'wrong option - please try again!'
if s == 'f':
sl = merge_sort.mergeSort(L, firstLastName)
print 'list sorted on first name: '
print sl
else:
sl = merge_sort.mergeSort(L, lastFirstName)
print 'list sorted on second name: '
print sl
def compare_merge_insert():
N = 10**4 # change here to change array size. 10**4 is enough big, it takes about 5 seconds.
arr_insert = [random.randint(0, 10**6) for _ in range(N)]
arr_merge = copy.deepcopy(arr_insert)
start_time = time.time()
insertion_sort.insertionSort(arr_insert)
insert_time = time.time() - start_time
start_time = time.time()
merge_sort.mergeSort(arr_merge)
merge_time = time.time() - start_time
# check error
for i, n in enumerate(arr_insert):
if n != arr_merge[i]:
print("Error: result is not the same!, ", i)
return
print("result is the same")
print("insert sort time = ", insert_time)
print("merge sort time = ", merge_time)
def kruskal(G, *args):
# Inizializzo un grafo vuoto, ovvero con un numero di vertici vuoti uguale a G, per evitare l'uscita dai limiti
# durante l'assegnazione del valore dei vertici. Viene inoltre convertita la lista di archi a deque, per favorire
# l'operazione di pop ed aggiunta archi.
G.initialize()
A = Graph(G.n_vertexes)
# L'algoritmo di merge sort qui utilzzato ha complessità O(n*log(n)), come previsto.
mergeSort(G.arch_list)
for e in G.arch_list:
# Viene aggiunto un arco al grafo dell'MST.
if e.vert1 != e.vert2:
r1 = G.find(e.vert1)
r2 = G.find(e.vert2)
if r1 != r2:
A.add(e.vert1, e.vert2, e.weight)
G.union(r1, r2)
# Ottimizzazione suggerita a lezione, per una terminazione anticipata dell'algoritmo.
if A.n_arches == G.n_vertexes - 1:
break
return A
def kruskalNaive(G, *args):
# Inizializzo un grafo vuoto, ovvero con un numero di vertici vuoti uguale a G, per evitare l'uscita dai limiti
# durante l'assegnazione del valore dei vertici. Viene inoltre convertita la lista di archi a deque, per favorire
# l'operazione di pop ed aggiunta archi.
A = Graph(G.n_vertexes)
A.arch_list = deque()
# L'algoritmo di merge sort qui utilzzato ha complessità O(n*log(n)), come previsto.
mergeSort(G.arch_list)
for e in G.arch_list:
# Viene aggiunto un arco al grafo dell'MST, solo se non si tratta di un self loop, altrimenti viene ignorato.
if e.vert1 != e.vert2:
A.add(e.vert1, e.vert2, e.weight)
visited = [False] * G.n_vertexes
# È stato scelto l'algoritmo DFS per il controllo sulla ciclicità del grafo.
if dfs_iter(A, e.vert1, visited):
# Qualora il grafo fosse ciclico, viene rimosso l'ultimo arco aggiunto.
A.pop()
# Ottimizzazione suggerita a lezione, per una terminazione anticipata dell'algoritmo.
if A.n_arches == G.n_vertexes - 1:
break
return A
def sorting_algorithms(arrayToBeSorted):
# Calling Insertion sort and calculating time elapsed
print("\n\n*********INSERTION SORT**********")
#print("\nArray Before Sort")
arrayToBeSorted1 = list(arrayToBeSorted)
#print(arrayToBeSorted1)
startTime1 = datetime.datetime.now()
sorted_array = insertion_sort.insertionSort(arrayToBeSorted1)
endTime1 = datetime.datetime.now()
diff = endTime1 - startTime1
timeElapsed1 = diff.total_seconds() * 1000
#print ("\n\nSorted array after Insertion sort is:")
#print(sorted_array)
print("\nTime elapsed in milliseconds after Insertion sort is : ")
print(timeElapsed1)
# Calling merge sort and calculating time elapsed
print("\n\n\n*********MERGE SORT**********")
#print("\nArray Before Sort")
arrayToBeSorted2 = list(arrayToBeSorted)
#print(arrayToBeSorted2)
n = len(arrayToBeSorted2)
startTime2 = datetime.datetime.now()
merge_sort.mergeSort(arrayToBeSorted2, 0, n - 1)
endTime2 = datetime.datetime.now()
diff = endTime2 - startTime2
timeElapsed2 = diff.total_seconds() * 1000
#print ("\n\nSorted array after merge sort is")
#print (arrayToBeSorted2)
print("\n\nTime elapsed in milliseconds after Merge-sort is : ")
print(timeElapsed2)
# Calling In-place quicksort sort and calculating time elapsed
print("\n\n\n*********IN-PLACE QUICKSORT**********")
#print("\nArray Before Sort")
arrayToBeSorted3 = list(arrayToBeSorted)
#print(arrayToBeSorted3)
n = len(arrayToBeSorted3)
startTime3 = datetime.datetime.now()
inplace_quicksort.quickSort(arrayToBeSorted3, 0, n - 1)
endTime3 = datetime.datetime.now()
diff = endTime3 - startTime3
timeElapsed3 = diff.total_seconds() * 1000
#print ("\n\nSorted array after In-place quicksort is:")
#print (arrayToBeSorted3)
#for i in range(n):
#print ("%d" %arrayToBeSorted3[i]),
print("\n\nTime elapsed in milliseconds after Quicksort is : ")
print(timeElapsed3)
# Calling Modified Quicksort and calculating time elapsed
print("\n\n\n*********MODIFIED QUICKSORT**********")
#print("\nArray Before Sort")
arrayToBeSorted4 = list(arrayToBeSorted)
#print(arrayToBeSorted4)
n = len(arrayToBeSorted4)
startTime4 = datetime.datetime.now()
modified_quicksort.quickSort(arrayToBeSorted4, 0, n - 1)
endTime4 = datetime.datetime.now()
diff = endTime4 - startTime4
timeElapsed4 = diff.total_seconds() * 1000
#print ("\n\nSorted array after Modified quicksort is:")
#print (arrayToBeSorted4)
print("\n\nTime elapsed in milliseconds after Modified Quicksort is : ")
print(timeElapsed4)
import random
from merge_sort import mergeSort
def checkSumofNumbers(dataList, num):
i = 0
j = len(dataList) - 1
while (i < j):
if (dataList[i] + dataList[j]) == num:
return i, j
elif (dataList[i] + dataList[j]) > num:
j -= 1
elif (dataList[i] + dataList[j]) < num:
i += 1
return None, None
if __name__ == "__main__":
dataList = [-4, 40, 62, 39, 21, -61, 68, 31, 10, 1]
dataList = mergeSort(dataList)
num = 41
print("Sorted list: {} search for sum: {}".format(dataList, num))
result = checkSumofNumbers(dataList, num)
print(result)
def doQuestion(question):
"""
Executa as operações para a questão indicada.
"""
global g_y0, g_ylim
if question == 1: # Questão #1
g_ylim = 10
plotItem('1a')
plotItem('1b')
plotItem('1c')
plotItem('1d')
plotItem('1e')
plotItem('1f')
plotItem('1g')
plotItem('1h')
elif question == 2:
g_ylim = 1000
plotItem('2a')
plotItem('2b')
g_ylim = 10
plotItem('2c')
g_ylim = 10000
plotItem('2d-O')
g_ylim = 1000
plotItem('2d-Ω')
elif question == 5:
import random
candidatos = [
'Joaquim José da Silva Xavier',
'Pedro Álvares de Alencar',
'Luiz C Bonaparte Peixoto',
'Claudio Emanuel da Silva',
]
cumpridos = random.sample(range(100), 4)
cumpridos[3] = cumpridos[1] # adiciona um repetido.
tempos = random.sample(range(100), 4)
#tempos[2] = tempos[0] # adiciona um repetido.
tempos[3] = tempos[1] # adiciona um repetido.
#tempos = cumpridos = [0,0,0,0]
print(
'Avaliando os candidatos, algoritmos executados e tempos respectivos:'
)
for k, n in enumerate(candidatos):
print('{} \t\t- {} em {}t'.format(n, cumpridos[k], tempos[k]))
q5avaliador(candidatos, cumpridos, tempos)
elif question == 6:
import random
a = random.sample(range(100), 50)
i = q6recmenor(a)
print('Índice encontrado: {} com valor {}'.format(i, a[i]))
sort.mergeSort(a)
print(a[0])
elif question == 0:
g_y0, g_ylim = -100, 100
plotItem('01')
def test_sort3():
arr = [5, 12, 7, 5, 5, 7]
actual = mergeSort(arr)
expected = [5, 5, 5, 7, 7, 12]
assert actual == expected
def test_sort2():
arr = [20, 18, 12, 8, 5, -2]
actual = mergeSort(arr)
expected = [-2, 5, 8, 12, 18, 20]
assert actual == expected
def test_basic(self, rst, nums):
self.assertEqual(rst, mergeSort(nums))
def test_sort4():
arr = [2, 3, 5, 7, 13, 11]
actual = mergeSort(arr)
expected = [2, 3, 5, 7, 11, 13]
assert actual == expected
def test_big_input(self, rst, nums):
self.assertEqual(rst, mergeSort(nums))
def testSort(tests, n, minimum, maximum):
time = [datetime.timedelta(0)] * 6
for i in range(tests):
ar = createArray(n, minimum, maximum)
i_sort = list(ar)
m_sort = list(ar)
q_sort = list(ar)
qr_sort = list(ar)
h_sort = list(ar)
d = datetime.datetime.now()
insertion_sort.insertionSort(i_sort)
time[0] += (datetime.datetime.now() - d)
d = datetime.datetime.now()
m_sort = merge_sort.mergeSort(m_sort)
time[1] += (datetime.datetime.now() - d)
d = datetime.datetime.now()
quick_sort.quickSort(q_sort)
time[2] += (datetime.datetime.now() - d)
d = datetime.datetime.now()
quick_sort.quickSortRand(qr_sort)
time[3] += (datetime.datetime.now() - d)
d = datetime.datetime.now()
h_sort = heap_sort.heapSort(h_sort)
time[4] += (datetime.datetime.now() - d)
d = datetime.datetime.now()
bible = sorted(ar)
time[5] += (datetime.datetime.now() - d)
error = False
if not compareArrays(bible, i_sort):
print "Insertion sort error: ar =", ar, ", i_sort =", i_sort, ", bible =", bible
error = True
if not compareArrays(bible, m_sort):
print "Merge sort error: ar =", ar, ", m_sort =", m_sort, ", bible =", bible
error = True
if not compareArrays(bible, q_sort):
print "Quick sort (deterministic) error: ar =", ar, ", q_sort =", q_sort, ", bible =", bible
error = True
if not compareArrays(bible, qr_sort):
print "Quick sort (random) error: ar =", ar, ", qr_sort =", qr_sort, ", bible =", bible
error = True
if not compareArrays(bible, h_sort):
print "Heap sort error: ar =", ar, ", h_sort =", h_sort, ", bible =", bible
error = True
if not error:
print "Test", i + 1, "successful"
print "Insertion sort time =", time[0]
print "Merge sort time =", time[1]
print "Quick sort (deterministic) time =", time[2]
print "Quick sort (random) time =", time[3]
print "Heap sort time =", time[4]
print "Default Python sort time =", time[5]
def test_sort1():
arr = [8, 4, 23, 42, 16, 15]
actual = mergeSort(arr)
expected = [4, 8, 15, 16, 23, 42]
assert actual == expected
from bubble_sort import bubbleSort
from normalise_list import normalise
import matplotlib.pyplot as plt
from timeit import timeit
from random import randint
listSize = 1000
#Generate a large random list
print("Generating list...")
listToSort = [randint(0, 1000) for i in range(listSize)]
#Create anonymous functions to use with timeit
bs = lambda: bubbleSort(listToSort)
ms = lambda: mergeSort(listToSort)
bis = lambda: sorted(listToSort)
print("Timing sorting algorithms...")
#Time the function for 100 runs each
mergeTime = timeit(ms, number=100)
bubbleTime = timeit(bs, number=100)
builtInTime = timeit(bis, number=100)
#Assemble times into a list for plotting a graph
times = [mergeTime, bubbleTime, builtInTime]
#Get units for time
units = ["seconds", "milliseconds", "microseconds", "nanoseconds"]
from merge_sort import mergeSort
import random
from time import time
import matplotlib.pyplot as plt
size = []
t = []
n = 1000000
for i in range(n, n * 10, n):
randomvalues = random.sample(range(i), i)
start_time = time()
mergeSort(randomvalues, 0, len(randomvalues) - 1)
end_time = time()
total_time = end_time - start_time
size.append(i)
t.append(total_time)
print(size)
print(t)
plt.plot(size, t)
plt.show()