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## Problem

There are n children standing in a line. Each child is assigned a rating value given in the integer array ratings.

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.

Return the minimum number of candies you need to have to distribute the candies to the children.

Example 1:

Input: ratings = [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: ratings = [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.


## Code

class Solution {
public int candy(int[] ratings) {
int[] arr = new int[ratings.length];

for(int i = 0; i < ratings.length; i++){
arr[i] = 1;
}

for(int i = 1; i < ratings.length; i++){
if(ratings[i] > ratings[i - 1]){
arr[i] = arr[i - 1] + 1;
}
}

for(int i = ratings.length - 2; i >= 0; i--){
if(ratings[i] > ratings[i + 1]){
arr[i] = Math.max(arr[i], arr[i + 1] + 1);
}
}

int res = 0;
for(int a : arr){
res += a;
}

return res;
}
}