排序算法(Merge Sort)中的 merge 步

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今天遇到一个面试题,经朋友提点实际上是排序算法中 merge sort 的 merge 步,蛋疼实现了一下两个做法,一个是利用堆栈,另一个尝试用角标。

角标的判定真的很恶心,也如朋友所说,很容易越界没判断好。

参考资料:

import copy

def merge1(x:list, y:list, debug=False):
    """使用堆栈"""
    new_ = list()
    
    x_ = copy.copy(x)
    y_ = copy.copy(y)
    
    while x_ and y_:
        if x_[-1] > y_[-1]:
            new_.append(x_.pop(-1))
        elif x_[-1] == y_[-1]:
            new_.append(x_.pop(-1))
            y_.pop(-1)
        else:
            new_.append(y_.pop(-1))
    new_ = new_ + x_ + y_
    return new_

def merge2(x:list, y:list, debug=False):
    """单纯使用角标"""
    new_ = list() 
    x = copy.copy(x)
    y = copy.copy(y)
    
    idx_x = len(x) - 1
    idx_y = len(y) - 1
        
    while True:
        if debug:
            print(idx_x, idx_y)
        
        if idx_x >= 0 and idx_y >= 0:
            x_ = x[idx_x]
            y_ = y[idx_y]
        else:
            break
            
        if x_ > y_:
            new_.append(x_)
            idx_x -= 1
        elif x_ == y_:
            new_.append(x_)
            idx_x -= 1
            idx_y -= 1
        else:
            new_.append(y_)
            idx_y -= 1
    # 由 break 的条件是角标出界了,即小于零,即两个角标存在一个是 -1, 一个是正整数,只有后者能通过 slice 取到值即为 tail 
    tail = y[:idx_y+1] or x[:idx_x+1] 
    new_.extend(tail)
    return new_

a = [i for i in range(3, 12, 2)]
b = [i for i in range(1, 30, 10)]

m1 = merge1(a, b)
m2 = merge2(a, b)
assert m1 == m2, print("m1:",m1, "\nm2:",m2, "\na:",a, "\nb:",b)