题目如下:
You have
N
gardens, labelled1
toN
. In each garden, you want to plant one of 4 types of flowers.
paths[i] = [x, y]
describes the existence of a bidirectional path from gardenx
to gardeny
.Also, there is no garden that has more than 3 paths coming into or leaving it.
Your task is to choose a flower type for each garden such that, for any two gardens connected by a path, they have different types of flowers.
Return any such a choice as an array
answer
, whereanswer[i]
is the type of flower planted in the(i+1)
-th garden. The flower types are denoted 1, 2, 3, or 4. It is guaranteed an answer exists.Example 1:
Input: N = 3, paths = [[1,2],[2,3],[3,1]] Output: [1,2,3]
Example 2:
Input: N = 4, paths = [[1,2],[3,4]] Output: [1,2,1,2]
Example 3:
Input: N = 4, paths = [[1,2],[2,3],[3,4],[4,1],[1,3],[2,4]] Output: [1,2,3,4]
Note:
1 <= N <= 10000
0 <= paths.size <= 20000
- No garden has 4 or more paths coming into or leaving it.
- It is guaranteed an answer exists.
解题思路:可供选的花的种类只有[1,2,3,4]四种,对于任意一个待种植的花园,只需要判断相邻的花园是否已经种植花卉。如果种植了,把已种植的种类从可供选择的列表中去除,最后在剩余的种类中任选一个即可。
代码如下:
class Solution(object): def gardenNoAdj(self, N, paths): """ :type N: int :type paths: List[List[int]] :rtype: List[int] """ res = [0] * (N+1) res[1] = 1 dic = {} for v1,v2 in paths: dic[v1] = dic.setdefault(v1,[]) + [v2] dic[v2] = dic.setdefault(v2,[]) + [v1] for i in range(2,N+1): if i not in dic: res[i] = 1 else: choice = [1,2,3,4] for neibour in dic[i]: if res[neibour] == 0: continue else: if res[neibour] in choice: inx = choice.index(res[neibour]) del choice[inx] res[i] = choice[0] return res[1:]