There are N children standing in a line. Each child is assigned a rating value.
You are giving candies to these children subjected to the following requirements:
<li>Each child must have at least one candy.</li>
<li>Children with a higher rating get more candies than their neighbors.</li>
What is the minimum candies you must give?
Example 1:
Input: [1,0,2] Output: 5 Explanation: You can allocate to the first, second and third child with 2, 1, 2 candies respectively.
Example 2:
Input: [1,2,2]
Output: 4
Explanation: You can allocate to the first, second and third child with 1, 2, 1 candies respectively.
The third child gets 1 candy because it satisfies the above two conditions.