Input Example:<\/strong><\/p>\n5 2\n9 3 1 5 2<\/pre>\nOutput Example:<\/strong><\/p>\n2<\/pre>\nProblem Solving Strategy<\/h2>\n
The necessary steps to solve this problem are as follows:<\/p>\n
\n- Sort the given array.<\/li>\n
- Find the K-1 (indexing from 0) element.<\/li>\n
- Print that value.<\/li>\n<\/ol>\n
C++ Code Implementation<\/h2>\n
Now, let’s implement the C++ code to solve the given problem. To sort an array in C++, we can use the std::sort<\/code> function. Below is the code applying that algorithm:<\/p>\n\n
#include \n#include \n#include \n\nint main() {\n int N, K;\n std::cin >> N >> K; \/\/ Input N and K\n std::vector arr(N); \/\/ Create an array of size N\n\n for (int i = 0; i < N; ++i) {\n std::cin >> arr[i]; \/\/ Input array elements\n }\n\n std::sort(arr.begin(), arr.end()); \/\/ Sort the array\n\n std::cout << arr[K - 1] << std::endl; \/\/ Output the Kth number (0-indexed)\n return 0;\n}\n<\/int><\/algorithm><\/vector><\/iostream><\/code><\/pre>\n<\/div>\nCode Explanation<\/h2>\n
The above code operates in the following manner:<\/p>\n
\n- First, include the
iostream<\/code>, vector<\/code>, and algorithm<\/code> libraries. The former is needed for input and output, while the latter is needed for sorting the array.<\/li>\n- Declare variables
N<\/code> and K<\/code> and receive input from the user.<\/li>\n- Create an integer vector
arr<\/code> of size N<\/code> and input the array elements from the user.<\/li>\n- Sort the vector using the
std::sort<\/code> function.<\/li>\n- Output the Kth smallest number. Since array indexing starts from 0,
K - 1<\/code> is used.<\/li>\n<\/ol>\nComplexity Analysis<\/h2>\n
The time complexity of this algorithm mainly arises from the sorting process. C++’s std::sort<\/code> has an average time complexity of O(N log N)<\/code>, so the overall time complexity of the algorithm is O(N log N)<\/code>. The space complexity requires O(N)<\/code> to store the input array.<\/p>\nAdditional Problems<\/h2>\n
You can modify such problems to solve various difficulties. For example:<\/p>\n
\n- When duplicate elements are present<\/li>\n
- Finding the Kth largest number<\/li>\n
- Finding the Kth number in a subarray<\/li>\n<\/ul>\n
Remember that by slightly modifying the logic for each case, you can easily adapt to them.<\/p>\n
Conclusion<\/h2>\n
In this post, we learned how to find the Kth number in an array. Through the problem-solving process and C++ implementation, we could learn about basic sorting algorithms and how to handle arrays. I encourage you to practice various variant problems. I hope this helps you prepare for your coding tests!<\/p>\n
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Today, we will learn about one of the frequently asked problems in C++ coding tests, “Finding the Kth Smallest Number in an Array.” The goal of this problem is to find the Kth smallest number in a sorted array. We will analyze how to solve this problem step by step through an example. 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