[已解决]Python：每日一题 313

zltzlt

今天的题目：

给出一个整型数组，求这个数组的最小循环节的长度。

示例 1：

输入：[1,2,1,2,1,2]
输出：2
解释：最小循环节为 [1,2]，长度为 2。

示例 2：

输入：[1,2,1,2,1]
输出：2
解释：最小循环节为 [1,2]，长度为 2。最后一个 2 虽然没有给出，但是我们还是认为循环节是 [1,2]。

示例 3：

输入：[1,2,1,2,1,4]
输出：6
解释：最小循环节为 [1,2,1,2,1,4]，长度为 6。

欢迎大家一起答题！

最佳答案

月排行榜 / 总排行榜

Croper

2020-1-23 18:41:44

1. def solve(lst:'list of int >= 0',debug=False)->list:
   
2.     if lst:
   
3.         loop = 1
   
4.         for i in range(1,len(lst)-1):
   
5.             if lst[i] != lst[i%loop] or lst[i+1] != lst[(i+1)%loop]:
   
6.                 if lst[i] == lst[0]:
   
7.                     r = loop+i
   
8.                     l = r//2
   
9.                     if lst[:l]==lst[l:r]:
   
10.                         loop = l
    
11.                         continue
    
12.                 loop = i+1 if lst[i+1] == lst[0] else i+2
    
13.                 if debug:
    
14.                     print('调试',loop)
    
15.         return loop
    
16.     else:
    
17.         return 0
    
18.         
    
19. def fun313(l):
    
20.         p=0
    
21.         index=[-1,0]        
    
22.         for q in range(1,len(l)):
    
23.                 while p!=-1 and l[p]!=l[q]:
    
24.                         p=index[p]
    
25.                 p+=1
    
26.                 index.append(p)
    
27.         return q-p+1
    
28.         
    
29. l=[1,2,1,2,3,1,2,1,2,1]
    
30. print(solve(l))
    
31. print(fun313(l))

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结果:

1. 9
   
2. 7

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跳转到最佳答案楼层

Croper

1. def solve(lst:'list of int >= 0',debug=False)->list:
   
2.     if lst:
   
3.         loop = 1
   
4.         for i in range(1,len(lst)-1):
   
5.             if lst[i] != lst[i%loop] or lst[i+1] != lst[(i+1)%loop]:
   
6.                 if lst[i] == lst[0]:
   
7.                     r = loop+i
   
8.                     l = r//2
   
9.                     if lst[:l]==lst[l:r]:
   
10.                         loop = l
    
11.                         continue
    
12.                 loop = i+1 if lst[i+1] == lst[0] else i+2
    
13.                 if debug:
    
14.                     print('调试',loop)
    
15.         return loop
    
16.     else:
    
17.         return 0
    
18.         
    
19. def fun313(l):
    
20.         p=0
    
21.         index=[-1,0]        
    
22.         for q in range(1,len(l)):
    
23.                 while p!=-1 and l[p]!=l[q]:
    
24.                         p=index[p]
    
25.                 p+=1
    
26.                 index.append(p)
    
27.         return q-p+1
    
28.         
    
29. l=[1,2,1,2,3,1,2,1,2,1]
    
30. print(solve(l))
    
31. print(fun313(l))

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结果:

1. 9
   
2. 7

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塔利班

1. def f313(x):
   
2.     l=len(x)
   
3.     z=len(set(x))
   
4.     for i in range(z,l+1):
   
5.         a,b=divmod(l,i)
   
6.         if x==x[:i]*a+x[:b]:
   
7.             return i

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先写一个

zltzlt

塔利班 发表于 2020-1-23 18:54
先写一个

输入 [1, 2, 3, 4, 5] + [1, 2, 3, 4] * 5000 超时

Croper

凭感觉写的，kmp算法改了下

1. def func313(l:list):
   
2.     p=0
   
3.     index=[-1,0]
   
4.     for q in range(1,len(l)):
   
5.         while p!=-1 and l[p]!=l[q]:
   
6.             p=index[p]
   
7.         p+=1
   
8.         index.append(p)
   
9.     return q-p+1

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wanting-for

如果多个循环节呢？例如 1212353535
这时候怎么处理呢？

zltzlt

wanting-for 发表于 2020-1-23 20:07
如果多个循环节呢？例如 1212353535
这时候怎么处理呢？

把 1212353535 当做一整个循环节处理。

zltzlt

塔利班 发表于 2020-1-23 18:54
先写一个

还是超时

塔利班

zltzlt 发表于 2020-1-23 20:12
还是超时

我在想你@错了

Croper

想了想，好像不需要kmp。。

1. def func313(l:list):
   
2.     p=0
   
3.     for q in range(1,len(l)):
   
4.         if l[p]!=l[q]:
   
5.             p=0
   
6.         else:
   
7.             p+=1
   
8.     return q-p+1

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wanting-for

1. def solve_313(list1:list):
   
2.     length = 0
   
3.     for i in range(0,len(list1)):
   
4.         if length == 0 and list1[i] == list1[0]:
   
5.             length = i-0
   
6.         elif length!=0 and list1[i-length] == list1[i]:
   
7.             continue
   
8.         else:
   
9.             length = 0
   
10.     if length:
    
11.         return length
    
12.     else:
    
13.         return len(list1)
    
14. 
    
15. if __name__ == "__main__":
    
16.     print(solve_313([1,2,1,2,1,4]))

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给的测试点，都过了，可能还会有错误，
请楼主劳累测试一下，麻烦了！感谢，比心心

zltzlt

Croper 发表于 2020-1-23 20:36
想了想，好像不需要kmp。。

输入 [1] 出错

zltzlt

wanting-for 发表于 2020-1-23 20:54
给的测试点，都过了，可能还会有错误，
请楼主劳累测试一下，麻烦了！感谢，比心心

解答错误

输入：[1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1]
输出：12
预期结果：11（循环节为 [1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3]）

Croper

zltzlt 发表于 2020-1-23 20:56
输入 [1] 出错

好吧- -

1. def func313(l:list):
   
2.     if (len(l)<2):
   
3.         return len(l)
   
4.     p=0
   
5.     for q in range(1,len(l)):
   
6.         if l[p]!=l[q]:
   
7.             p=0
   
8.         else:
   
9.             p+=1
   
10.     return q-p+1

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zltzlt

Croper 发表于 2020-1-23 21:01
好吧- -

解答错误

输入：[1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1]
输出：12
预期结果：11（循环节为 [1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3]）

wanting-for

zltzlt 发表于 2020-1-23 20:57
解答错误

输入：[1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1]

1. def solve_313(list1:list):
   
2.     length = 0
   
3.     for i in range(0,len(list1)):
   
4.         if length == 0 and list1[i] == list1[0]:
   
5.             length = i-0
   
6.         elif length!=0 and list1[i-length] == list1[i]:
   
7.             continue
   
8.         elif list1[i] == list1[0]:
   
9.             length = i-0
   
10.         else:
    
11.             length = 0
    
12.     if length:
    
13.         return length
    
14.     else:
    
15.         return len(list1)
    
16. 
    
17. if __name__ == "__main__":
    
18.     print(solve_313([1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1]))

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上一个代码没有更新最大长度，失算失算！

zltzlt

wanting-for 发表于 2020-1-23 21:06
上一个代码没有更新最大长度，失算失算！

解答错误

输入：[1, 1, 1, 3, 2, 1, 1, 1, 1, 3, 2, 1]
输出：11
预期结果：6（循环节为 [1, 1, 1, 3, 2, 1]）

Croper

zltzlt 发表于 2020-1-23 21:08
解答错误

输入：[1, 1, 1, 3, 2, 1, 1, 1, 1, 3, 2, 1]

所以还是得kmp，但是kmp超时。。。这就很纠结了

wanting-for

1. def solve_313(list1:list):
   
2.     length = 0
   
3.     for i in range(0,len(list1)):
   
4.         if length == 0 and list1[i] == list1[0]:
   
5.             if list1[0:i] == list1[i:i+i]:
   
6.                 length = i-0
   
7.         elif length!=0 and list1[i-length] == list1[i]:
   
8.             pass
   
9.         elif list1[i] == list1[0]:
   
10.             length = i-0
    
11.         else:
    
12.             length = 0
    
13.     if length:
    
14.         return length
    
15.     else:
    
16.         return len(list1)
    
17. if __name__ == "__main__":
    
18.     print(solve_313([1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 1]))

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太麻烦楼主了，我这一包茶，一包烟，一个bug改一天！

zltzlt

wanting-for 发表于 2020-1-23 21:30
太麻烦楼主了，我这一包茶，一包烟，一个bug改一天！

解答错误

输入：

1. [1, 2, 3, 4, 5, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 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复制代码

输出：40007
预期结果：40003