题目地址:https://leetcode.com/problems/loud-and-rich/description/
题目描述:
Ina group of N people (labelled 0, 1, 2, ..., N-1), each person has different amounts of money, and different levels of quietness.
Forconvenience, we'll call the person with label x, simply "person x".
We'll say that richer[i] = [x, y] if person x definitely has more money than person y. Note that richer may only be a subset of valid observations.
Also, we'll say quiet[x] = q if person x has quietness q.
Now, return answer, where answer[x] = y if y is the least quiet person (that is, the person y with the smallest value of quiet[y]), among all people who definitely have equal to or more money than person x.
Example 1:
Input: richer = [[1,0],[2,1],[3,1],[3,7],[4,3],[5,3],[6,3]], quiet = [3,2,5,4,6,1,7,0]
Output: [5,5,2,5,4,5,6,7]
Explanation:
answer[0] = 5.
Person 5 has more money than 3, which has more money than 1, which has more money than 0.
The only person who is quieter (has lower quiet[x]) is person 7, but
it isn't clear if they have more money than person 0.
answer[7] = 7.
Among all people that definitely have equal to or more money than person 7
(which could be persons 3, 4, 5, 6, or 7), the person who is the quietest (has lower quiet[x])
is person 7.
The other answers can be filled out with similar reasoning.
Note:
1、 1<=quiet.length=N<=500;
2、 0<=quiet[i]<N,allquiet[i]aredifferent.;
3、 0<=richer.length<=N*(N-1)/2;
4、 0<=richer[i][j]<N;
5、 richer[i][0]!=richer[i][1];
6、 richer[i]'sarealldifferent.;
7、 Theobservationsinricherarealllogicallyconsistent.;
题目大意
这个题目理解起来很困难。
题目给出了有钱人之间的对比,在richer中第一个数字的人比第二个数字的人有钱。quiet值代表每个人的安静指数,数字越大代表越吵。
我们要做的是,找出对于每个人,比他有钱的人还比他安静是谁。
真不知道这个题目设定有啥意义。
解题方法
因为这个题设计到一连串的比较,这种题一般都是使用dfs解决。这个题先使用dict保存比每个人有钱的人list。
然后对每个人都去遍历比他有钱的人,对于比他有钱的人继续遍历比他更有钱的人……
下面的代码,
res[i]代表比i有钱还比i安静的人的序号。 dfs的含义是找出比i有钱还比i安静的人的序号。
代码如下:
class Solution:
def loudAndRich(self, richer, quiet):
"""
:type richer: List[List[int]]
:type quiet: List[int]
:rtype: List[int]
"""
m = collections.defaultdict(list)
for i, j in richer:
m[j].append(i)
res = [-1] * len(quiet)
def dfs(i):
if res[i] > 0: return res[i]
res[i] = i
for j in m[i]:
if quiet[res[i]] > quiet[dfs(j)]:
res[i] = res[j]
return res[i]
for i in range(len(quiet)):
dfs(i)
return res
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参考资料:
https://leetcode.com/problems/loud-and-rich/discuss/137918/C++JavaPython-Concise-DFS
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