力扣leetcode1363. 形成三的最大倍数

题目设置了每个元素都是单个数字,因此可以用拆开成10位的讨巧做法,但如果不限制大小,那么只能按余数处理,其他高赞解也写得很清楚了,详细算法可以看下其他解,大致思路如下:
首先确定一点,在满足条件的情况下,答案长度越长,数字越大,即1000大于999,在长度相同的情况下,比较大小,因此先尽量地增加答案长度
将输入的数字分为三类,余0、余1和余2,余0的全部都放进答案,因为一定整除
将余1的和余2的排序后放入前面3n个(比如余2的数字总共7个,就放进去最大的6个,剩1个,若总共6个,放进去3个,剩3个,除非总共0个,否则最终剩1、2或者3个,至于为什么要剩3个,举例2 2 1 1 1)
然后剩下的余1和余2的(0-6个数)有多种组合方式,就是中间if那一段,把所有的情况都加入备选方案,然后按长度排序,如果长度相同,按大小排序(均是降序),然后取第一个加入答案
最终将答案所有数字降序排序然后连起来即可
可能程序还有问题,望指正
因为涉及排序和转换,速度不算快

 1 class Solution(object):
 2     def largestMultipleOfThree(self, digits):
 3         remain0, remain1, remain2 = [], [], []
 4 
 5         for i in digits:
 6             temp = i % 3
 7             if 0 == temp:
 8                 remain0.append(i)
 9             elif 1 == temp:
10                 remain1.append(i)
11             else:
12                 remain2.append(i)
13 
14         remain1, remain2 = sorted(remain1, reverse=True), sorted(remain2, reverse=True)
15         len1, len2 = len(remain1), len(remain2)
16         max1, max2 = 3 * int(len1 / 3), 3 * int(len2 / 3)
17         if max1 == len1:
18             max1 -= 3
19         if max2 == len2:
20             max2 -= 3
21         remain0 += remain1[:max1] + remain2[:max2]
22         remain1, remain2 = remain1[max1:], remain2[max2:]
23         # print(max1, max2)
24 
25         len1, len2 = len(remain1), len(remain2)
26         pending = []
27         if (len1 == 0 or len1 == 3) and (len2 == 0 or len2 == 3):
28             pending.append(remain1 + remain2)
29         if len1 == 3:
30             pending.append(remain1)
31         if len2 == 3:
32             pending.append(remain2)
33         if len(remain1) >= 2 and len(remain2) >= 2:
34             pending.append(remain1[:2] + remain2[:2])
35         if len(remain1) >= 1 and len(remain2) >= 1:
36             pending.append(remain1[:1] + remain2[:1])
37         pending = sorted(pending, key=lambda x: self.comp(x))
38         # print(pending)
39         if pending:
40             remain0 += pending[0]
41 
42         if not remain0:
43             return ""
44         remain0 = sorted(remain0, reverse=True)
45         ans, flag = "", 1
46         for i in remain0:
47             if flag:
48                 if i:
49                     flag = 0
50                 else:
51                     continue
52             ans += str(i)
53         if not ans:
54             return "0"
55         else:
56             # print(ans)
57             return ans
58 
59     def comp(self, x):
60         sum_len, sum_num = 0, ""
61         for i in x:
62             str_i = str(i)
63             sum_len += len(str_i)
64             sum_num += str_i
65         if sum_num:
66             return [-sum_len, -int("".join(sorted(sum_num, reverse=True)))]
67         else:
68             return [-sum_len, 0]
原文地址:https://www.cnblogs.com/Pyrokine/p/12552492.html