In a group of N people (labelled 0, 1, 2, ..., N-1
), each person has different amounts of money, and different levels of quietness.
For convenience, 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:
<li><code>1 <= quiet.length = N <= 500</code></li>
<li><code>0 <= quiet[i] < N</code>, all <code>quiet[i]</code> are different.</li>
<li><code>0 <= richer.length <= N * (N-1) / 2</code></li>
<li><code>0 <= richer[i][j] < N</code></li>
<li><code>richer[i][0] != richer[i][1]</code></li>
<li><code>richer[i]</code>'s are all different.</li>
<li>The observations in <code>richer</code> are all logically consistent.</li>