# 1176. Diet Plan Performance(Prefix Sum)

A dieter consumes calories[i] calories on the i-th day. For every consecutive sequence of k days, they look at T, the total calories consumed during that sequence of k days:

If T < lower, they performed poorly on their diet and lose 1 point;
If T > upper, they performed well on their diet and gain 1 point;
Otherwise, they performed normally and there is no change in points.
Return the total number of points the dieter has after all calories.length days.

Note that: The total points could be negative.

Example 1:

Input: calories = [1,2,3,4,5], k = 1, lower = 3, upper = 3
Output: 0
Explaination: calories[0], calories[1] < lower and calories[3], calories[4] > upper, total points = 0.
Example 2:

Input: calories = [3,2], k = 2, lower = 0, upper = 1
Output: 1
Explaination: calories[0] + calories[1] > upper, total points = 1.
Example 3:

Input: calories = [6,5,0,0], k = 2, lower = 1, upper = 5
Output: 0
Explaination: calories[0] + calories[1] > upper, calories[2] + calories[3] < lower, total points = 0.

Constraints:

1 <= k <= calories.length <= 105
0 <= calories[i] <= 20000
0 <= lower <= upper

## Solution

prefix sum: applied for k consecutive element

O(N) O(N)

## Code

``````class Solution {
public int dietPlanPerformance(int[] calories, int k, int lower, int upper) {
int[] sum = new int[calories.length];
for(int i = 0; i < sum.length; i++){
if(i == 0) sum[i] = calories[i];
else{
sum[i] += sum[i-1] + calories[i];
}
}

int res = 0;
for(int i = 0; i <= sum.length - k; i++){
int tmp = 0;
if(i == 0){
tmp = sum[k-1];
}else{
tmp = sum[i+k-1] - sum[i - 1];
}
if(tmp > upper) res++;
else if(tmp < lower) res--;
}
return res;

}
}
``````