{"id":34714,"date":"2024-11-01T09:31:11","date_gmt":"2024-11-01T09:31:11","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=34714"},"modified":"2024-11-01T11:26:52","modified_gmt":"2024-11-01T11:26:52","slug":"swift-coding-test-course-finding-the-minimum-number-of-coins","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/34714\/","title":{"rendered":"Swift Coding Test Course, Finding the Minimum Number of Coins"},"content":{"rendered":"<article>\n<header>\n<p>Written on: <time datetime=\"2023-03-01\">March 1, 2023<\/time><\/p>\n<p>Author: Coding Master<\/p>\n<\/header>\n<section>\n<h2>Problem Definition<\/h2>\n<p>\n            We will address an algorithm problem that minimizes the number of coins needed to make a given amount<br \/>\n            based on the types of coins available. For example, if the types of coins are<br \/>\n            <code>[1, 5, 10, 25]<\/code> and the amount is <code>7<\/code>,<br \/>\n            the number of coins needed is <code>3<\/code> (5 + 1 + 1).\n        <\/p>\n<h3>Input<\/h3>\n<ul>\n<li>An array <code>coins<\/code> containing the types of coins (in int[] format).<\/li>\n<li>The target amount <code>amount<\/code> (of int type).<\/li>\n<\/ul>\n<h3>Output<\/h3>\n<p>Returns the minimum number of coins. Returns <code>-1<\/code> if it is not possible.<\/p>\n<\/section>\n<section>\n<h2>Approach to the Problem<\/h2>\n<p>\n            This problem can be approached using Dynamic Programming.<br \/>\n            The goal is to repeatedly use coins to create the given amount and find the minimum count.<br \/>\n            We utilize the properties of optimal substructure and overlapping subproblems with dynamic programming.\n        <\/p>\n<h3>Step 1: Initialize the DP Table<\/h3>\n<p>\n            First, create an array <code>dp<\/code> to store the minimum number of coins for each index i.<br \/>\n            Initialize <code>dp[0]<\/code> to 0 and the rest to infinity.\n        <\/p>\n<h3>Step 2: Update the DP Table<\/h3>\n<p>\n            Loop through each coin and update the amount that can be made with that coin.<br \/>\n            Each amount <code>i<\/code> is updated from the previous amount <code>i - coin<\/code><br \/>\n            by adding +1 to the coin count.\n        <\/p>\n<\/section>\n<section>\n<h2>Swift Code Implementation<\/h2>\n<pre><code>\n            func minCoins(coins: [Int], amount: Int) -&gt; Int {\n                \/\/ Initialize the DP table\n                var dp = Array(repeating: Int.max, count: amount + 1)\n                dp[0] = 0\n\n                \/\/ Update the DP table\n                for coin in coins {\n                    for i in coin...(amount) {\n                        if dp[i - coin] != Int.max {\n                            dp[i] = min(dp[i], dp[i - coin] + 1)\n                        }\n                    }\n                }\n\n                return dp[amount] == Int.max ? -1 : dp[amount]\n            }\n\n            \/\/ Example usage\n            let coins = [1, 5, 10, 25]\n            let amount = 7\n            let result = minCoins(coins: coins, amount: amount)\n            print(\"Minimum number of coins: \\(result)\")\n        <\/code><\/pre>\n<\/section>\n<section>\n<h2>Time Complexity Analysis<\/h2>\n<p>\n            The time complexity of this algorithm is <code>O(m * n)<\/code>.<br \/>\n            Here, <code>m<\/code> is the number of types of coins, and <code>n<\/code> is the target amount.<br \/>\n            The outer loop iterates over the types of coins, and the inner loop iterates over the target amount,<br \/>\n            resulting in two nested loops.\n        <\/p>\n<\/section>\n<section>\n<h2>Additional Problems and Variations<\/h2>\n<p>\n            This problem can be modified to add various requirements.<br \/>\n            For example, there may be variations where only specific coins must be used,<br \/>\n            or coins cannot be used multiple times.<br \/>\n            It is also important to consider such variations.\n        <\/p>\n<\/section>\n<footer>\n<h2>Conclusion<\/h2>\n<p>\n            The coin problem is a common problem in programming,<br \/>\n            and it can be efficiently solved using dynamic programming techniques.<br \/>\n            It is hoped that this article helped you learn the basic approach and implementation of dynamic programming.<br \/>\n            As your understanding of algorithm problem-solving improves,<br \/>\n            you will find it easier to approach and solve complex problems.\n        <\/p>\n<\/footer>\n<\/article>\n","protected":false},"excerpt":{"rendered":"<p>Written on: March 1, 2023 Author: Coding Master Problem Definition We will address an algorithm problem that minimizes the number of coins needed to make a given amount based on the types of coins available. For example, if the types of coins are [1, 5, 10, 25] and the amount is 7, the number of &hellip; <a href=\"https:\/\/atmokpo.com\/w\/34714\/\" class=\"more-link\">\ub354 \ubcf4\uae30<span class=\"screen-reader-text\"> &#8220;Swift Coding Test Course, Finding the Minimum Number of Coins&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[129],"tags":[],"class_list":["post-34714","post","type-post","status-publish","format-standard","hentry","category-swift-coding-test"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Swift Coding Test Course, Finding the Minimum Number of Coins - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/atmokpo.com\/w\/34714\/\" \/>\n<meta property=\"og:locale\" content=\"ko_KR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Swift Coding Test Course, Finding the Minimum Number of Coins - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\" \/>\n<meta property=\"og:description\" content=\"Written on: March 1, 2023 Author: Coding Master Problem Definition We will address an algorithm problem that minimizes the number of coins needed to make a given amount based on the types of coins available. 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