# Grading Students

codemummy University has the following grading policy:

- Every student receives a in the inclusive range from to .
- Any less than is a failing grade.

Sam is a professor at the university and likes to round each student's according to these rules:

- If the difference between the and the next multiple of is less than , round up to the next multiple of .
- If the value of is less than , no rounding occurs as the result will still be a failing grade.

Examples

- round to (85 - 84 is less than 3)
- do not round (result is less than 40)
- do not round (60 - 57 is 3 or higher)

Given the initial value of for each of Sam's students, write code to automate the rounding process.

Example :

Input :

```
4
73
67
38
33
```

Output :

```
75
67
40
33
```

- Student received a , and the next multiple of from is . Since , the student's grade is rounded to .
- Student received a , and the next multiple of from is . Since , the grade will not be modified and the student's final grade is .
- Student received a , and the next multiple of from is . Since , the student's grade will be rounded to .
- Student received a grade below , so the grade will not be modified and the student's final grade is .

**c++ implementation:**

vector<int> gradingStudents(vector<int> a) { int n=a.size(); vector<int>v; for(int i=0;i<n;i++) { if(a[i]<38) v.push_back(a[i]); else { if((a[i]+1)%5==0) { v.push_back(a[i]+1); } else if((a[i]+2)%5==0) { v.push_back(a[i]+2); } else v.push_back(a[i]); } } return v; }

**Time Complexity:**O(n)

**space Complexity:**O(1)