difficulty:中等
給你乙個整數陣列nums
,請你將該陣列公升序排列。
示例 1:
輸入:nums = [5,2,3,1]
輸出:[1,2,3,5]
示例 2:
輸入:nums = [5,1,1,2,0,0]
輸出:[0,0,1,1,2,5]
1 <= nums.length <= 50000
-50000 <= nums[i] <= 50000
solution
快速排序實現一:
class solution:
def sortarray(self, nums: list[int]) -> list[int]:
left, right = 0, len(nums)-1
self.qsort(nums, left, right)
return nums
def qsort(self, arr, low, high):
if len(arr) <= 1:
return arr
if low < high:
pivot = self.partition(arr, low, high)
self.qsort(arr, low, pivot-1)
self.qsort(arr, pivot+1, high)
def partition(self, arr, low, high):
i = low - 1
pivot = arr[high]
for j in range(low, high):
if arr[j] <= pivot:
i += 1
arr[i], arr[j] = arr[j], arr[i]
arr[i+1], arr[high] = arr[high], arr[i+1]
return i+1
現在這題如果寫快速排序必須得選隨機基準值才能過,不然會超時,補充乙個隨機選擇基準值的解法:
import random
class solution:
def sortarray(self, nums: list[int]) -> list[int]:
left, right = 0, len(nums) - 1
self.qsort(nums, left, right)
return nums
def qsort(self, arr, low, high):
if len(arr) <= 1:
return arr
if low < high:
p = self.partition(arr, low, high)
self.qsort(arr, low, p-1)
self.qsort(arr, p+1, high)
def partition(self, arr, low, high):
i = low - 1
p = random.randint(low, high)
arr[p], arr[high] = arr[high], arr[p]
pivot = arr[high]
for j in range(low, high):
if arr[j] <= pivot:
i += 1
arr[i], arr[j] = arr[j], arr[i]
arr[i+1], arr[high] = arr[high], arr[i+1]
return i+1
快速排序實現二:
class solution:
def sortarray(self, nums: list[int]) -> list[int]:
# 快速排序
less =
more =
pivot_list =
if len(nums) <= 1:
return nums
else:
pivot = nums[0]
for item in nums:
if item < pivot:
elif item > pivot:
else:
less = self.sortarray(less)
more = self.sortarray(more)
return less + pivot_list + more
氣泡排序,不過超出了時間限制,沒有通過。
class solution:
def sortarray(self, nums: list[int]) -> list[int]:
if not nums:
return
num_len = len(nums)
for i in range(num_len-1,0,-1):
for j in range(i):
if nums[j] > nums[j+1]:
nums[j], nums[j+1] = nums[j+1], nums[j]
return nums
插入排序,同樣也超出了時間限制,沒有通過。
class solution:
def sortarray(self, nums: list[int]) -> list[int]:
if not nums:
return
num_len = len(nums)
for i in range(1, num_len):
key = nums[i]
j = i - 1
while j >= 0 and key < nums[j]:
nums[j+1] = nums[j]
j -= 1
nums[j+1] = key
return nums
堆排序
class solution:
def sortarray(self, nums: list[int]) -> list[int]:
self.heapsort(nums)
return nums
def heapify(self, arr, n, i):
largest = i
l = 2 * i + 1 # 左子節點
r = 2 * i + 2 # 右子節點
if l < n and arr[largest] < arr[l]:
largest = l
if r < n and arr[largest] < arr[r]:
largest = r
if largest != i:
arr[largest], arr[i] = arr[i], arr[largest]
self.heapify(arr, n, largest) # 在處理新的葉子節點後會導致原來排序好的堆混亂了,所以需要重新進行堆排序
# 堆排序
def heapsort(self, arr):
n = len(arr)
# 從最後乙個非葉子節點開始構建最大堆
for i in range(n // 2 - 1, -1, -1):
self.heapify(arr, n, i)
for i in range(n-1, 0, -1):
arr[i], arr[0] = arr[0], arr[i] # 堆頂的最大元素交換到堆底
self.heapify(arr, i, 0)
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