SESO07 - Editorial

Problem Explanation

The task is to find the smallest and largest elements in an array of integers. You are given an array of integers, and you need to determine the minimum and maximum values in this array and then print them.

Approach

To find the smallest and largest elements in an array of integers, we can iterate through the array once while maintaining two variables: `smallest` and `largest`. Initially, we set `smallest` to `INT_MAX` and `largest` to `INT_MIN` to ensure any element in the array will update these values. As we traverse the array, we compare each element with `smallest` and `largest`, updating them accordingly if a smaller or larger element is found. After the loop, `smallest` will hold the minimum value, and `largest` will hold the maximum value, which we then print. This approach is efficient with a time complexity of O(n) and a space complexity of O(1).

Complexity Analysis

• Time Complexity: The time complexity of this solution is O(n), where `n` is the number of elements in the array. This is because we only traverse the array once to determine both the smallest and largest elements.

• Space Complexity: The space complexity is O(1), as we are only using a fixed amount of extra space for the variables `smallest` and `largest`, regardless of the size of the input array.