## The challenge

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:

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

What is the minimum candies you must give?

**Example 1:**

Input:[1,0,2]Output:5Explanation:You can allocate to the first, second and third child with 2, 1, 2 candies respectively.

**Example 2:**

Input:[1,2,2]Output:4Explanation: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.

## The solution in Java code

```
class Solution {
public int candy(int[] ratings) {
if (ratings.length==0)
return 0;
int n = ratings.length;
int[] arr = new int[n];
for (int i=0; i<n; i++) {
arr[i] = 1;
}
for (int i=1; i<n; i++) {
if (ratings[i] > ratings[i-1])
arr[i] = 1 + arr[i-1];
}
for (int i=n-2; i>=0; i--){
if (ratings[i] > ratings[i+1] && arr[i] <= arr[i+1])
arr[i] = 1 + arr[i+1];
}
int sum=0;
for (int i:arr) sum += i;
return sum;
}
}
```