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Distribute Candy

Problem Description

N children are standing in a line. Each child is assigned a rating value.

You are giving candies to these children subjected to the following requirements:

1. Each child must have at least one candy.
2. Children with a higher rating get more candies than their neighbors.

What is the minimum number of candies you must give?

Problem Constraints

1 <= N <= 105
-109 <= A[i] <= 109

Input Format

The first and only argument is an integer array A representing the rating of children.

Output Format

Return an integer representing the minimum candies to be given.

Example Input

Input 1:

` A = [1, 2]`

Input 2:

` A = [1, 5, 2, 1]`

Example Output

Output 1:

` 3`

Output 2:

` 7`

Example Explanation

Explanation 1:

``` The candidate with 1 rating gets 1 candy and candidate with rating 2 cannot get 1 candy as 1 is its neighbor.
So rating 2 candidate gets 2 candies. In total, 2 + 1 = 3 candies need to be given out.```

Explanation 2:

` Candies given = [1, 3, 2, 1]`

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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