C++ (Coding): First Missing Positive Integer Test

The goal of the problem is to find the first missing positive number in an unsorted array.

Available in

  • English

Summarize this test and see how it helps assess top talent with:

3 Skills measured

  • data structure
  • greedy
  • sorting

Test Type

Coding Test

Duration

20 mins

Level

Beginner

Questions

1

Use of C++ (Coding): First Missing Positive Integer Test

The solution approach of the problem starts by creating an unordered set seen to store the unique positive integers encountered in the input vector nums. This set will help us efficiently check if a number is present in nums. It then iterates through each element i in nums using a range-based for loop. For each positive integer i greater than 0, it inserts i into the seen set. After processing all the elements in nums, the function initializes two variables: i with an initial value of 1 (representing the smallest positive integer) and n as the size of nums. It enters a while loop that continues until i is greater than n. The purpose of this loop is to find the first missing positive integer in the range from 1 to n. Inside the loop, it checks if the current value of i is present in the seen set using the count function. If i is not found in the set, it means i is the first missing positive integer, so it returns i as the result. If i is found in the seen set, it increments i by 1 and continues to the next iteration of the loop to check the next integer. If the while loop completes without finding a missing positive integer, it means all positive integers from 1 to n are present in nums. In this case, the first missing positive integer would be n + 1, so it returns i (which is n + 1) as the result.

Skills measured

The data structure skill covered in First Missing Positive is the use of arrays. Arrays are important in this problem because they allow us to store and manipulate a collection of elements in a contiguous block of memory. By using arrays, we can easily access and update the elements in constant time, making it efficient to check for the presence of positive integers and determine the first missing positive number. Additionally, arrays provide a simple and straightforward way to iterate through the elements and perform the necessary calculations to solve the problem.

In the context of the First Missing Positive problem, the greedy skill refers to the approach of scanning the input array and identifying the smallest positive integer that is missing from the array. This greedy approach is important because it allows us to efficiently find the solution without needing to sort the array or use additional data structures. By focusing on the smallest positive integer that is missing, we can quickly determine the next integer that should be present in the array, helping us to efficiently find the solution without unnecessary complexities.

In First Missing Positive, the sorting skill is important as it helps in efficiently arranging the array of numbers in ascending order. By sorting the array, we can easily identify the missing positive integer as it will be the first positive integer that is not present in the sorted array. This skill is crucial in solving the problem as it allows us to quickly locate the missing positive integer without having to iterate through the entire array multiple times. Sorting also helps in organizing the data in a structured manner, making it easier to analyze and manipulate.

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