vault backup: 2022-07-23 15:28:38

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# Leetcode Average-Salary-Excluding-the-Minimum-and-Maximum-Salary
#### 2022-07-23 15:27
> ##### Difficulty:
> #coding_problem #difficulty-easy
> ##### Additional tags:
> #leetcode #math
> ##### Revisions:
> N/A
##### Related topics:
```expander
tag:#math
```
##### Links:
- [Link to problem](https://leetcode.com/problems/average-salary-excluding-the-minimum-and-maximum-salary/)
___
### Problem
You are given an array of **unique** integers `salary` where `salary[i]` is the salary of the `ith` employee.
Return _the average salary of employees excluding the minimum and maximum salary_. Answers within `10-5` of the actual answer will be accepted.
#### Examples
**Example 1:**
**Input:** salary = [4000,3000,1000,2000]
**Output:** 2500.00000
**Explanation:** Minimum salary and maximum salary are 1000 and 4000 respectively.
Average salary excluding minimum and maximum salary is (2000+3000) / 2 = 2500
**Example 2:**
**Input:** salary = [1000,2000,3000]
**Output:** 2000.00000
**Explanation:** Minimum salary and maximum salary are 1000 and 3000 respectively.
Average salary excluding minimum and maximum salary is (2000) / 1 = 2000
#### Constraints
- `3 <= salary.length <= 100`
- `1000 <= salary[i] <= 106`
- All the integers of `salary` are **unique**.
### Thoughts
> [!summary]
> This is a #math problem
The one solution I came up with is using math.
When counting total, be warned of integer overflows.
### Solution
```cpp
class Solution {
public:
double average(vector<int> &salary) {
double ans = 0, factor = salary.size() - 2;
int maxSal = 0, minSal = 1000001;
for (int i = 0, size = factor + 2; i < size; i++) {
ans += salary[i] / factor;
maxSal = max(maxSal, salary[i]);
minSal = min(minSal, salary[i]);
}
return ans - minSal / factor - maxSal / factor;
}
};
```

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##### Related topics: ##### Related topics:
```expander ```expander
tag:#<INSERT_TAG_HERE> tag:#math
``` ```
##### Links: ##### Links:
- [Link to problem]() - [Link to problem](https://leetcode.com/problems/count-odd-numbers-in-an-interval-range/)
___ ___
### Problem ### Problem
Given two non-negative integers `low` and `high`. Return the _count of odd numbers between_ `low` _and_ `high` _(inclusive)_.
#### Examples #### Examples
**Example 1:**
**Input:** low = 3, high = 7
**Output:** 3
**Explanation:** The odd numbers between 3 and 7 are [3,5,7].
**Example 2:**
**Input:** low = 8, high = 10
**Output:** 1
**Explanation:** The odd numbers between 8 and 10 are [9].
#### Constraints #### Constraints
- `0 <= low <= high <= 10^9`
### Thoughts ### Thoughts
> [!summary] > [!summary]
> This is a #template_remove_me > This is a #math problem.
The problem is intended to be solved with math.
The key to find the solution is by analyzing and find common
rules.
### Solution ### Solution
```cpp
class Solution {
public:
int countOdds(int low, int high) {
return ((low % 2) | (high % 2)) + (high - low) / 2;
}
};
```