无涯教程-Python - 排序算法

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排序是指以特定格式排列数据,排序算法指定了按特定顺序排列数据的方式,下面无涯教程在python中看到了五个这样的排序实现。

  • 冒泡排序
  • 合并排序
  • 插入排序
  • Shell排序
  • 选择排序

冒泡排序

这是一种基于比较的算法,其中比较每对相邻元素,如果元素顺序不正确,则将其交换。

def bubblesort(list):

# 交换元素以按顺序排列 for iter_num in range(len(list)-1,0,-1): for idx in range(iter_num): if list[idx]>list[idx+1]: temp=list[idx] list[idx]=list[idx+1] list[idx+1]=temp

list=[19,2,31,45,6,11,121,27] bubblesort(list) print(list)

执行以上代码后,将产生以下输出-

[2, 6, 11, 19, 27, 31, 45, 121]

合并排序

合并排序首先将数组分成相等的两半,然后以排序的方式将它们合并。

def merge_sort(unsorted_list):
    if len(unsorted_list) <= 1:
        return unsorted_list
#找到中间点并将其分开
    middle=len(unsorted_list) //2
    left_list=unsorted_list[:middle]
    right_list=unsorted_list[middle:]
left_list</span><span class="pun">=</span><span class="pln">merge_sort</span><span class="pun">(</span><span class="pln">left_list</span><span class="pun">)</span><span class="pln">
right_list</span><span class="pun">=</span><span class="pln">merge_sort</span><span class="pun">(</span><span class="pln">right_list</span><span class="pun">)</span><span class="pln">
</span><span class="kwd">return</span><span class="pln"> list</span><span class="pun">(</span><span class="pln">merge</span><span class="pun">(</span><span class="pln">left_list</span><span class="pun">,</span><span class="pln"> right_list</span><span class="pun">))</span><span class="pln">

#合并已排序的一半

def merge(left_half,right_half):

res</span><span class="pun">=[]</span><span class="pln">
</span><span class="kwd">while</span><span class="pln"> len</span><span class="pun">(</span><span class="pln">left_half</span><span class="pun">)</span><span class="pln"> </span><span class="pun">!=</span><span class="pln"> </span><span class="lit">0</span><span class="pln"> </span><span class="kwd">and</span><span class="pln"> len</span><span class="pun">(</span><span class="pln">right_half</span><span class="pun">)</span><span class="pln"> </span><span class="pun">!=</span><span class="pln"> </span><span class="lit">0</span><span class="pun">:</span><span class="pln">
    </span><span class="kwd">if</span><span class="pln"> left_half</span><span class="pun">[</span><span class="lit">0</span><span class="pun">]</span><span class="pln"> </span><span class="pun">&lt;</span><span class="pln"> right_half</span><span class="pun">[</span><span class="lit">0</span><span class="pun">]:</span><span class="pln">
        res</span><span class="pun">.</span><span class="pln">append</span><span class="pun">(</span><span class="pln">left_half</span><span class="pun">[</span><span class="lit">0</span><span class="pun">])</span><span class="pln">
        left_half</span><span class="pun">.</span><span class="kwd">remove</span><span class="pun">(</span><span class="pln">left_half</span><span class="pun">[</span><span class="lit">0</span><span class="pun">])</span><span class="pln">
    </span><span class="kwd">else</span><span class="pun">:</span><span class="pln">
        res</span><span class="pun">.</span><span class="pln">append</span><span class="pun">(</span><span class="pln">right_half</span><span class="pun">[</span><span class="lit">0</span><span class="pun">])</span><span class="pln">
        right_half</span><span class="pun">.</span><span class="kwd">remove</span><span class="pun">(</span><span class="pln">right_half</span><span class="pun">[</span><span class="lit">0</span><span class="pun">])</span><span class="pln">
</span><span class="kwd">if</span><span class="pln"> len</span><span class="pun">(</span><span class="pln">left_half</span><span class="pun">)</span><span class="pln"> </span><span class="pun">==</span><span class="pln"> </span><span class="lit">0</span><span class="pun">:</span><span class="pln">
    res</span><span class="pun">=</span><span class="pln">res </span><span class="pun">+</span><span class="pln"> right_half
</span><span class="kwd">else</span><span class="pun">:</span><span class="pln">
    res</span><span class="pun">=</span><span class="pln">res </span><span class="pun">+</span><span class="pln"> left_half
</span><span class="kwd">return</span><span class="pln"> res

unsorted_list=[64, 34, 25, 12, 22, 11, 90]

print(merge_sort(unsorted_list))

执行以上代码后,将产生以下输出-

[11, 12, 22, 25, 34, 64, 90]

插入排序

插入排序涉及在排序列表中找到给定元素的正确位置,因此,无涯教程首先比较前两个元素,然后通过比较将它们排序, 然后选择第三个元素并找到其在前两个排序元素中的正确位置,这样逐步将更多元素添加到已排序的列表中 将它们放在适当的位置。

def insertion_sort(InputList):
    for i in range(1, len(InputList)):
        j=i-1
        nxt_element=InputList[i]
# 比较当前元素和下一个元素
    </span><span class="kwd">while</span><span class="pln"> </span><span class="pun">(</span><span class="typ">InputList</span><span class="pun">[</span><span class="pln">j</span><span class="pun">]</span><span class="pln"> </span><span class="pun">&gt;</span><span class="pln"> nxt_element</span><span class="pun">)</span><span class="pln"> </span><span class="kwd">and</span><span class="pln"> </span><span class="pun">(</span><span class="pln">j </span><span class="pun">&gt;=</span><span class="pln"> </span><span class="lit">0</span><span class="pun">):</span><span class="pln">
        </span><span class="typ">InputList</span><span class="pun">[</span><span class="pln">j</span><span class="pun">+</span><span class="lit">1</span><span class="pun">]=</span><span class="typ">InputList</span><span class="pun">[</span><span class="pln">j</span><span class="pun">]</span><span class="pln">
        j</span><span class="pun">=</span><span class="pln">j</span><span class="pun">-</span><span class="lit">1</span><span class="pln">
    </span><span class="typ">InputList</span><span class="pun">[</span><span class="pln">j</span><span class="pun">+</span><span class="lit">1</span><span class="pun">]=</span><span class="pln">nxt_element

list=[19,2,31,45,30,11,121,27] insertion_sort(list) print(list)

执行以上代码后,将产生以下输出-

[2, 11, 19, 27, 30, 31, 45, 121]

希尔排序

希尔排序涉及对其他元素进行排序的元素,无涯教程对给定列表的一个大子列表进行排序,然后继续减小列表的大小,直到对所有元素进行排序。下面的程序通过将间隙等于列表大小长度的一半来找到间隙,然后开始对其中的所有元素进行排序,然后继续重置间隙,直到对整个列表进行排序。

def shellSort(input_list):
gap</span><span class="pun">=</span><span class="pln">len</span><span class="pun">(</span><span class="pln">input_list</span><span class="pun">)</span><span class="pln"> </span><span class="com">//2</span><span class="pln">
</span><span class="kwd">while</span><span class="pln"> gap </span><span class="pun">&gt;</span><span class="pln"> </span><span class="lit">0</span><span class="pun">:</span><span class="pln">

    </span><span class="kwd">for</span><span class="pln"> i </span><span class="kwd">in</span><span class="pln"> range</span><span class="pun">(</span><span class="pln">gap</span><span class="pun">,</span><span class="pln"> len</span><span class="pun">(</span><span class="pln">input_list</span><span class="pun">)):</span><span class="pln">
        temp</span><span class="pun">=</span><span class="pln">input_list</span><span class="pun">[</span><span class="pln">i</span><span class="pun">]</span><span class="pln">
        j</span><span class="pun">=</span><span class="pln">i

# 对这个间隙的子列表进行排序

        </span><span class="kwd">while</span><span class="pln"> j </span><span class="pun">&gt;=</span><span class="pln"> gap </span><span class="kwd">and</span><span class="pln"> input_list</span><span class="pun">[</span><span class="pln">j </span><span class="pun">-</span><span class="pln"> gap</span><span class="pun">]</span><span class="pln"> </span><span class="pun">&gt;</span><span class="pln"> temp</span><span class="pun">:</span><span class="pln">
            input_list</span><span class="pun">[</span><span class="pln">j</span><span class="pun">]=</span><span class="pln">input_list</span><span class="pun">[</span><span class="pln">j </span><span class="pun">-</span><span class="pln"> gap</span><span class="pun">]</span><span class="pln">
            j</span><span class="pun">=</span><span class="pln">j</span><span class="pun">-</span><span class="pln">gap
        input_list</span><span class="pun">[</span><span class="pln">j</span><span class="pun">]=</span><span class="pln">temp

# 减少下一个元素的间隙

    gap</span><span class="pun">=</span><span class="pln">gap</span><span class="com">//2</span><span class="pln">

list=[19,2,31,45,30,11,121,27]

shellSort(list) print(list)

执行以上代码后,将产生以下输出-

[2, 11, 19, 27, 30, 31, 45, 121]

选择排序

在选择排序中,无涯教程首先在给定列表中找到最小值,然后将其移到排序列表中,然后,对每个 未排序列表中的其余元素,将进入排序列表的下一个元素与现有元素进行比较,并放置在其正确位置。 因此,最后对未排序列表中的所有元素进行排序。

def selection_sort(input_list):
</span><span class="kwd">for</span><span class="pln"> idx </span><span class="kwd">in</span><span class="pln"> range</span><span class="pun">(</span><span class="pln">len</span><span class="pun">(</span><span class="pln">input_list</span><span class="pun">)):</span><span class="pln">

    min_idx</span><span class="pun">=</span><span class="pln">idx
    </span><span class="kwd">for</span><span class="pln"> j </span><span class="kwd">in</span><span class="pln"> range</span><span class="pun">(</span><span class="pln"> idx </span><span class="pun">+</span><span class="lit">1</span><span class="pun">,</span><span class="pln"> len</span><span class="pun">(</span><span class="pln">input_list</span><span class="pun">)):</span><span class="pln">
        </span><span class="kwd">if</span><span class="pln"> input_list</span><span class="pun">[</span><span class="pln">min_idx</span><span class="pun">]</span><span class="pln"> </span><span class="pun">&gt;</span><span class="pln"> input_list</span><span class="pun">[</span><span class="pln">j</span><span class="pun">]:</span><span class="pln">
            min_idx</span><span class="pun">=</span><span class="pln">j

# 用比较值交换最小值

    input_list</span><span class="pun">[</span><span class="pln">idx</span><span class="pun">],</span><span class="pln"> input_list</span><span class="pun">[</span><span class="pln">min_idx</span><span class="pun">]=</span><span class="pln">input_list</span><span class="pun">[</span><span class="pln">min_idx</span><span class="pun">],</span><span class="pln"> input_list</span><span class="pun">[</span><span class="pln">idx</span><span class="pun">]</span><span class="pln">

l=[19,2,31,45,30,11,121,27] selection_sort(l) print(l)

执行以上代码后,将产生以下输出-

[2, 11, 19, 27, 30, 31, 45, 121]

参考链接

www.learnfk.com/python-data…