[LeetCode] Candy

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?

class Solution {
public:
    int candy(vector<int> &ratings) {
        int cap = ratings.size();
        int *candy = new int[cap];
        fill(candy, candy + cap, 1);
        
        for(int i = 1; i < cap; i++)
        {
            if(ratings[i] > ratings[i-1])
                candy[i] = candy[i-1] + 1;
        }
        for(int i = cap - 2; i >= 0; i--)
        {
            if(ratings[i] > ratings[i+1])
                candy[i] = max(candy[i], candy[i+1] + 1);
        }
        int res = 0;
        for(int i = 0; i < cap; i++)
            res += candy[i];
        delete candy;
        return res;
    }
};