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<div><section data-id="Interview Detail Banner" id="Interview Detail Banner" class="py-spacing44 sm:py-spacing48 xl:px-spacing80 sm:px-spacing112 px-0 !pb-0 !pt-spacing20 md:!bg-offWhite"><div class="px-spacing20 md:px-0 w-full 2xl:max-w-7xl mx-auto"><div class="row g-4"><div class="col-12 md:flex-col"><ol itemscope="" itemtype="https://schema.org/BreadcrumbList" class="flex h-8 w-auto justify-start items-center bg-transparent md:!bg-offWhite xs:!bg-yellow1"><li class="flex items-center text-xs font-normal h-8 group ease-in-out duration-500 transition text-neutral-500" itemprop="itemListElement" itemscope="" itemtype="https://schema.org/ListItem"><a href="" class="px-spacing8 h-full cursor-pointer flex rounded-128 items-center group-hover:bg-mono-black/4 duration-500 ease-in-out transition justify-center" itemprop="item"><div itemprop="name" content="Home"><div class="text-xs text-neutral-600 group-hover:font-medium group-hover:underline group-hover:underline-offset-3 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class="overflow-hidden px-spacing8 "><div itemprop="name"><div class="text-xs text-neutral-500 max-w-50 overflow-ellipsis whitespace-nowrap overflow-hidden">Dynamic Programming Interview Questions and Answers</div></div></span><meta itemprop="position" content="4"><i class=" hidden"></i></li></ol></div></div></div></section></div><div><section data-id="Interview Detail Banner" id="Interview Detail Banner" class="py-spacing44 sm:py-spacing48 xl:px-spacing80 sm:px-spacing112 px-0 bg-offWhite !py-0 !pb-0"><div class="px-spacing20 md:px-0 w-full 2xl:max-w-7xl mx-auto"><div class="row g-4"><div class="col-12 md:flex-col"><div class="flex flex-col md:flex-row md:items-center md:justify-between bg-offWhite  md:pt-spacing20 md:pb-[48px]"><div class="md:max-w-[579px] xs:w-full"><p class="uppercase text-interview-grey-1 text-interactionNormal font-semibold pb-spacing7">Programming</p><h1 class="font-[700] text-headingBanner2 pb-spacing20 text-black">Dynamic Programming Interview Questions and Answers</h1><p class="text-greyscale1 text-interactionNormal leading-[22px] font-normal flex items-center gap-spacing6"><svg xmlns="http://www.w3.org/2000/svg" width="18" height="18" viewBox="0 0 18 18" fill="none"><path d="M8.09313 2.36439C8.46453 1.61186 9.53762 1.61185 9.90902 2.36439L11.6202 5.8317L15.4466 6.38771C16.2771 6.50838 16.6087 7.52895 16.0078 8.11472L13.239 10.8136L13.8926 14.6246C14.0345 15.4517 13.1663 16.0825 12.4235 15.6919L9.00108 13.8927L5.57864 15.6919C4.83584 16.0825 3.96769 15.4517 4.10955 14.6246L4.76318 10.8136L1.99437 8.11472C1.39343 7.52896 1.72504 6.50838 2.55551 6.38771L6.38191 5.8317L8.09313 2.36439ZM9.00108 3.06669L7.36457 6.38262C7.21708 6.68146 6.932 6.88858 6.60222 6.9365L2.94286 7.46824L5.5908 10.0493C5.82943 10.2819 5.93832 10.6171 5.88199 10.9455L5.2569 14.5901L8.52992 12.8694C8.82489 12.7143 9.17727 12.7143 9.47224 12.8694L12.7453 14.5901L12.1202 10.9455C12.0638 10.6171 12.1727 10.2819 12.4114 10.0493L15.0593 7.46824L11.3999 6.9365C11.0702 6.88858 10.7851 6.68146 10.6376 6.38262L9.00108 3.06669Z" fill="#FF9F1F"></path></svg>4.7 Rating<span class="bg-transparent"></span><i aria-hidden="true" class="icon-book-open text-yellow-main text-base"></i> 65 Questions<span class="bg-transparent"></span><i aria-hidden="true" class="icon-clock text-yellow-main text-base"></i> 35 mins read<span class="bg-transparent"></span><svg xmlns="http://www.w3.org/2000/svg" width="15" height="11" viewBox="0 0 15 11" fill="none"><path fill-rule="evenodd" clip-rule="evenodd" d="M3.24952 2.59291C2.23066 3.44326 1.51929 4.44071 1.16018 5.00933C1.11075 5.0876 1.09048 5.12047 1.0772 5.14603C1.0712 5.15757 1.06952 5.16207 1.06839 5.16646C1.06826 5.16749 1.06809 5.16902 1.06789 5.17105C1.0672 5.17843 1.06667 5.1885 1.06667 5.2C1.06667 5.2115 1.0672 5.22157 1.06789 5.22895C1.06809 5.23098 1.06826 5.23251 1.06839 5.23354C1.06952 5.23793 1.0712 5.24243 1.0772 5.25397C1.09048 5.27953 1.11075 5.3124 1.16018 5.39067C1.51929 5.95929 2.23066 6.95674 3.24952 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h-auto relative overflow-hidden self-auto"><img alt="Interview Detail Banner Image" fetchpriority="high" loading="eager" width="411" height="274" decoding="async"  class="object-cover rounded-[12px]" style="color:transparent" sizes="(min-width: 768px) 411px, 274px" srcSet="" src="https://images.unsplash.com/photo-1552664730-d307ca884978?ixlib=rb-4.0.3&auto=format&fit=crop&w=1000&q=80"></div></div></div></div></div></section></div><div><section data-id="Interview_Detail_Page_Interviews_Section" id="Interview_Detail_Page_Interviews_Section" class="py-spacing44 sm:py-spacing48 xl:px-spacing80 sm:px-spacing112 px-0"><div class="px-spacing20 md:px-0 w-full 2xl:max-w-7xl mx-auto"><div class="row g-4"><div class="col-12 md:flex-col"><div class="flex flex-row relative gap-spacing80"><div class="md:min-w-[846px] xs:w-full"><h3 class="text-interview-black-1 font-[700] md:text-title2 xs:text-baseInterviewTitle pb-spacing10">Introduction</h3><div class="text-neutral7 font-normal md:text-bodyNormal xs:text-bannerPoints pb-spacing24"><p>Dynamic Programming is a computational method used to solve problems by breaking them down into smaller sub-problems and solving them systematically. Dynamic Programming allows for the efficient solving of complex problems that would otherwise be intractable.

Whether you're a beginner, intermediate, or advanced professional in development, this guide on dynamic programming interview questions will help you in gaining confidence in Dynamic Programming. We have covered various concepts like Memorization, Tabulation, Optimal substructure, Overlapping subproblems and more in this article which will help you to understand the concept of various dynamic programming interview questions.</p></div><div><section class="py-spacing44 sm:py-spacing48 xl:px-spacing80 sm:px-spacing112 px-0 bg-subdued md:bg-white !py-0 !px-0"><div class="px-spacing20 md:px-0 w-full 2xl:max-w-7xl mx-auto"><div class="row g-4"><div class="col-12 md:flex-col"><div class="flex items-center justify-center font-Inter"><div class="bg-subdued w-full md:p-spacing40 py-spacing40 rounded-custom20"><div class="flex justify-between items-center"><div class="items-center flex-1"><div class="max-w-133"><div class="text-3xl leading-9.75 font-bold text-mono-black mt-spacing6">Dynamic Programming Interview Questions and Answers</div></div></div></div><div class=""><div><div class="relative flex w-fit items-center max-w-full customized-x-scrollbar gap-spacing12 md:gap-spacing24 rounded-xl bg-white p-spacing8 shadow-primaryDouble my-6 md:my-spacing40"><button class="z-1 rounded-lg px-spacing16 h-10 transition-all duration-300 ease-out flex items-center gap-spacing8 whitespace-nowrap font-semibold text-primary-900 bg-primary-100 delay-300"><h3 class="text-sm md:text-base first-letter:capitalize">Beginner</h3></button><button class="z-1 rounded-lg px-spacing16 h-10 transition-all duration-300 ease-out flex items-center gap-spacing8 whitespace-nowrap bg-transparent font-medium text-neutral-800 hover:text-primary-600"><h3 class="text-sm md:text-base first-letter:capitalize">Intermediate</h3></button><button class="z-1 rounded-lg px-spacing16 h-10 transition-all duration-300 ease-out flex items-center gap-spacing8 whitespace-nowrap bg-transparent font-medium text-neutral-800 hover:text-primary-600"><h3 class="text-sm md:text-base first-letter:capitalize">Advanced</h3></button><span class="absolute block h-10 rounded-lg bg-primary-100 transition-all duration-300" style="left:0;width:0;opacity:1"></span></div></div><div class=""><div><div class="text-xl text-neutral-800 mb-spacing20 font-bold">Beginner</div><div class="relative w-full"><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-primary-main outline-2 shadow-card hover:shadow-card visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-t-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden">1. What are the applications of dynamic programming?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-0 text-neutral-800"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>Dynamic programming is a technique for solving complex problems by breaking them down into smaller subproblems and storing the solutions to these subproblems in order to avoid recomputing them. As a result, it can be applied to a wide range of problems in computer science and related fields. Some of the applications of dynamic programming include:&nbsp;</p><ol class="CertTheme__ol1 pt-spacing10"><li class="CertTheme__listItem pt-spacing10"><strong>Optimization problems:&nbsp;</strong>Dynamic programming can be used to solve optimization problems, such as finding the shortest path between two points or the maximum profit in a given scenario.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Sequence alignment:&nbsp;</strong>Dynamic programming can be used to align sequences of DNA, RNA, or protein in order to identify similarities and differences.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Image recognition:</strong> Dynamic programming can be used to recognize patterns in images and classify them based on certain features.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Natural language processing</strong>: Dynamic programming can be used to analyze and understand human language in order to perform tasks such as machine translation or text summarization.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Control systems:</strong> Dynamic programming can be used to design control systems for a wide range of applications, including robotics, manufacturing, and transportation.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Machine learning:</strong> Dynamic programming can be used as a component of machine learning algorithms in order to improve their efficiency and accuracy.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Data analysis:&nbsp;</strong>Dynamic programming can be used to analyze and summarize large datasets in order to identify trends and patterns.&nbsp;</li></ol><p>These are just a few examples of the many applications of dynamic programming in computer science and related fields.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">2. What are the differences between the top-down approach and the bottom-up approach?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>Expect to come across this popular question in dynamic programming for interviews. The top-down approach and the bottom-up approach are two approaches that can be used to solve problems using dynamic programming. The main difference between the two approaches is the order in which the subproblems are solved.&nbsp;</p><p>In the top-down approach, the subproblems are solved in a recursive manner, starting with the overall problem and breaking it down into smaller and smaller subproblems until the base case is reached. This approach is also known as the divide and conquer approach, as it involves dividing the problem into smaller pieces and solving them individually.&nbsp;</p><p>In the <a href="blog/project-management/bottom-up-estimating" target="_blank">bottom-up approach</a>, the subproblems are solved in an iterative manner, starting with the base case and gradually building up to the overall problem. This approach is also known as the constructive approach, as it involves constructing the solution to the overall problem from the solutions to the smaller subproblems.&nbsp;</p><p>Both the top-down and bottom-up approaches have their own benefits and drawbacks. The top-down approach is generally easier to implement and requires less space, as it does not require the storage of the solutions to the subproblems. However, it can be slower and less efficient, as it involves multiple recursive calls and may result in the repeated calculation of the same subproblems.&nbsp;</p><p>On the other hand, the bottom-up approach is generally more efficient and requires less time, as it involves a single iterative process and avoids the repeated calculation of the same subproblems. However, it requires more space, as it involves the storage of the solutions to the subproblems in a table or array.&nbsp;</p><p>In general, the top-down approach is more suitable for problems that can be divided into smaller and independent subproblems, while the bottom-up approach is more suitable for problems that involve the accumulation of smaller subproblems to form the overall solution.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">3. What are the differences between the dynamic programming and greedy approach?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>The dynamic programming approach and the greedy approach are two techniques that can be used to solve optimization problems, such as finding the maximum profit or minimum cost. The main difference between the two approaches is the way in which they solve the problem.&nbsp;</p><p>The dynamic programming approach involves breaking the problem down into smaller subproblems, solving each subproblem individually, and then combining the solutions to the subproblems in a predetermined order to obtain the overall solution. This approach is generally more suitable for problems that have an optimal substructure, which means that the optimal solution to the overall problem can be obtained by combining the optimal solutions to the subproblems.&nbsp;</p><p>The greedy approach involves making a locally optimal choice at each step in the solution process, without considering the overall impact on the final solution. This approach is generally more suitable for problems that have a greedy property, which means that the locally optimal choice at each step leads to a globally optimal solution.&nbsp;</p><p>One of the main differences between the dynamic programming and greedy approaches is that the dynamic programming approach is generally more time-and-space-efficient, as it avoids the repeated calculation of the same subproblems and stores the solutions to the subproblems in a table or array. The greedy approach, on the other hand, is generally simpler and easier to implement, but may not always yield the optimal solution.&nbsp;</p><p>Another difference between the two approaches is that the dynamic programming approach is generally more suitable for problems with multiple stages or decisions, while the greedy approach is generally more suitable for problems with a single stage or decision.&nbsp;</p><p>In general, the dynamic programming approach is more suitable for problems that involve complex decision-making or optimization, while the greedy approach is more suitable for problems with a simple and clear-cut solution.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">4. What are the pros and cons of memoization or top-down approach</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>Some of the pros of memoization and the top-down approach are:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10"><strong>Simplicity:</strong> Both memoization and the top-down approach are relatively simple to implement and understand, as they involve storing the solutions to the subproblems in a table or array and solving the subproblems in a recursive manner.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Time-efficiency:</strong> By avoiding the repeated calculation of the same subproblems, memoization and the top-down approach can significantly improve the time-efficiency of a dynamic programming algorithm.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Space-efficiency:</strong> Both memoization and the top-down approach require relatively little space, as they do not require the storage of the entire solution to the problem.&nbsp;</li></ul><p>Some of the cons of memoization and the top-down approach are:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10"><strong>Overhead:</strong> Both memoization and the top-down approach involve additional overhead in the form of table or array access and recursive function calls, which can impact the overall performance of the algorithm.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Limited applicability:</strong> Both memoization and the top-down approach are generally more suitable for problems that can be divided into smaller and independent subproblems and may not be as effective for problems that involve the accumulation of smaller subproblems to form the overall solution.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Complexity:</strong> While both memoization and the top-down approach are relatively simple to understand and implement, they may involve more complex algorithms and data structures in order to achieve optimal performance.&nbsp;</li></ul><p>Overall, memoization and the top-down approach can be useful techniques for solving problems using dynamic programming, but their effectiveness depends on the specific characteristics of the problem and the desired solution method.</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">5. How dynamic programming is different from memoization and recursion?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>While dynamic programming, memoization, and recursion are often used together, they are not the same thing. Dynamic programming is a general technique that can be used to solve a wide range of problems, while memoization and recursion are specific techniques that can be used to improve the efficiency and simplicity of a dynamic programming algorithm.&nbsp;</p><p>One of the main differences between dynamic programming and memoization is that dynamic programming involves the solution of the subproblems in a predetermined order, while memoization involves the storage of the solutions to the subproblems in a table or array.&nbsp;</p><p>One of the main differences between dynamic programming and recursion is that dynamic programming involves the combination of the solutions to the subproblems to form the overall solution, while recursion involves the repeated application of a function to different input parameters until the base case is reached.&nbsp;</p><p>Overall, dynamic programming is a technique for solving problems by breaking them down into smaller subproblems and combining the solutions to the subproblems in a predetermined order, while memoization and recursion are specific techniques that can be used to improve the efficiency and simplicity of a dynamic programming algorithm.</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">6. What is dynamic programming and how is it used to solve problems?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">Dynamic programming is a method of solving complex problems by breaking them down into smaller subproblems, solving each of these subproblems, and then combining the solutions to the subproblems to find a solution to the overall problem. This method is particularly useful for problems that involve optimization or finding the most efficient solution, as it allows for the reuse of previously solved subproblems to avoid unnecessary recalculations.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Dynamic programming is typically used to solve problems that have an optimal substructure, meaning that the optimal solution to the overall problem can be obtained by combining the optimal solutions to the subproblems. It is also often used for problems that involve making a series of decisions, such as choosing the best path through a maze or selecting the most cost-effective items to purchase.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">To use dynamic programming to solve a problem, it is first necessary to identify the subproblems that make up the overall problem and the relationships between these subproblems. The solution to each subproblem is then calculated and stored in a table or array, and the solutions to the overall problem are obtained by combining the solutions to the subproblems. This process is typically repeated until a satisfactory solution is found.</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">7. Can you give an example of a problem that can be solved using dynamic programming?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>This is a frequently asked question in dynamic programming questions asked in interviews. One example of a problem that can be solved using dynamic programming is the Knapsack Problem. In this problem, a person is given a set of items with different weights and values, and a knapsack with a certain weight capacity. The goal is to choose a combination of items to put in the knapsack that maximizes the total value of the items while staying within the weight capacity of the knapsack.&nbsp;</p><p>To solve this problem using dynamic programming, the items can be broken down into subproblems based on their weights and values. The solution to each subproblem is then calculated and stored in a table, taking into account the weight and value of each item as well as the remaining weight capacity of the knapsack. The solutions to the overall problem are obtained by combining the solutions to the subproblems, ultimately leading to the selection of the most valuable items that can fit in the knapsack.&nbsp;</p><p>Other examples of problems that can be solved using dynamic programming include the Fibonacci sequence, the Traveling Salesman Problem, and the Matrix Chain Multiplication problem.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">8. How does dynamic programming differ from other techniques such as divide and conquer or brute force?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>Dynamic programming differs from divide and conquer in that it is specifically designed to solve problems that involve optimization or finding the most efficient solution. Divide and conquer, on the other hand, is a technique for solving complex problems by dividing the problem into smaller, more manageable subproblems and then solving these subproblems individually. This technique is typically used for problems that can be easily divided into smaller parts, and it often involves a recursive approach where the subproblems are solved in a recursive manner until the overall problem is solved.&nbsp;</p><p>Dynamic programming also differs from brute force in that it uses a more systematic and structured approach to solve problems, rather than trying all possible solutions. Brute force is a technique for solving problems by trying all possible solutions and selecting the one that produces the desired result. This technique is often used for problems that do not have a clear or efficient solution, and it can be very time-consuming and resource-intensive. Additionally, dynamic programming typically requires a more in-depth understanding of the problem and its underlying structure, whereas brute force does not.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">9. How do you determine if a problem can be solved using dynamic programming?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>To determine if a problem can be solved using dynamic programming, it is important to consider the following criteria:&nbsp;</p><ol class="CertTheme__ol1 pt-spacing10"><li class="CertTheme__listItem pt-spacing10">Optimal substructure: The problem must have an optimal substructure, meaning that the optimal solution to the overall problem can be obtained by combining the optimal solutions to the subproblems. This is a key characteristic of problems that can be solved using dynamic programming, as it allows for the reuse of previously solved subproblems to avoid unnecessary recalculations.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Overlapping subproblems: The problem must exhibit overlapping subproblems, meaning that the same subproblem may be encountered multiple times while solving the overall problem. This allows for the solution to each subproblem to be stored and reused, rather than recalculating it each time it is encountered.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Recursive solution: A recursive solution to the problem must be feasible, as dynamic programming involves a recursive approach to solving the subproblems. This means that the solution to the overall problem can be obtained by solving the subproblems in a recursive manner until a satisfactory solution is found.&nbsp;</li></ol><p>In addition to these criteria, it is also important to consider the nature of the problem and its underlying structure to determine if dynamic programming is the most appropriate solution method. Some problems may have multiple valid solution methods, and it is important to carefully analyze the trade-offs between these methods in order to determine the most appropriate approach.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">10. What are the two main properties that a problem must have in order to be solved using dynamic programming?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>The two main properties that a problem must have in order to be solved using dynamic programming are:&nbsp;</p><ol class="CertTheme__ol1 pt-spacing10"><li class="CertTheme__listItem pt-spacing10"><strong>Optimal substructure:&nbsp;</strong>The problem must have an optimal substructure, meaning that the optimal solution to the overall problem can be obtained by combining the optimal solutions to the subproblems. This is a key characteristic of problems that can be solved using dynamic programming, as it allows for the reuse of previously solved subproblems to avoid unnecessary recalculations.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Overlapping subproblems:</strong> The problem must exhibit overlapping subproblems, meaning that the same subproblem may be encountered multiple times while solving the overall problem. This allows for the solution to each subproblem to be stored and reused, rather than recalculating it each time it is encountered.&nbsp;</li></ol><p>If a problem meets these criteria, it is likely that it can be solved using dynamic programming. However, it is still important to carefully analyze the problem and its underlying structure to determine the most appropriate solution method.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">11. How do you implement the overlapping subproblems property in a dynamic programming algorithm?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>In order to implement the overlapping subproblems property in a dynamic programming algorithm, it is necessary to store the solutions to each subproblem as they are calculated. This can be done using a table or an array, where each cell of the table or array represents a specific subproblem and its corresponding solution.&nbsp;</p><p>For example, consider a problem where the subproblems are defined by a set of variables such as n and m. In this case, the table or array could be indexed by n and m, with each cell containing the solution to the subproblem defined by the values of n and m.&nbsp;</p><p>To store the solutions to the subproblems, the algorithm must first identify the subproblems that make up the overall problem and the relationships between these subproblems. This typically involves breaking the problem down into smaller parts and defining the subproblems based on the values of the variables that define the problem.&nbsp;</p><p>Once the subproblems have been identified, the algorithm can begin solving them and storing the solutions in the corresponding cells of the table or array. This process is typically repeated until a satisfactory solution to the overall problem is found.&nbsp;</p><p>It is also important to design the algorithm in a way that allows for the efficient retrieval of the stored solutions. This may involve using a recursive approach, where the solutions to the subproblems are stored in the table or array as they are calculated in a recursive manner. Alternatively, an iterative algorithm with a specific loop structure can be designed to allow for easy access to the stored solutions.&nbsp;</p><p>By storing the solutions to the subproblems and efficiently retrieving them as needed, the overlapping subproblems property can be implemented in a dynamic programming algorithm, allowing for the efficient solution of complex problems.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">12. How do you implement the optimal substructure property in a dynamic programming algorithm?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>In order to implement the optimal substructure property in a dynamic programming algorithm, it is necessary to design the algorithm in a way that allows for the combination of the optimal solutions to the subproblems to find a solution to the overall problem. This typically involves using a recursive approach or designing an iterative algorithm with a specific loop structure that allows for the combination of the solutions to the subproblems.&nbsp;</p><p>For example, consider a problem where the subproblems are defined by a set of variables such as n and m. In this case, the algorithm could be designed to solve the subproblems in a recursive manner, with the solution to the overall problem being obtained by combining the solutions to the subproblems defined by the values of n and m.&nbsp;</p><p>To implement the optimal substructure property using a recursive approach, the algorithm must first identify the subproblems that make up the overall problem and the relationships between these subproblems. This typically involves breaking the problem down into smaller parts and defining the subproblems based on the values of the variables that define the problem.&nbsp;</p><p>Once the subproblems have been identified, the algorithm can begin solving them in a recursive manner. As each subproblem is solved, its solution is stored in a table or array, and the solutions to the overall problem are obtained by combining the solutions to the subproblems. This process is typically repeated until a satisfactory solution to the overall problem is found.&nbsp;</p><p>Alternatively, an iterative algorithm with a specific loop structure could be designed to allow for the combination of the solutions to the subproblems in a systematic way. For example, the algorithm could start by solving the subproblems with the lowest values of n and m, and then gradually work its way up to the subproblems with higher values. As each subproblem is solved, its solution is stored in a table or array, and the solutions to the overall problem are obtained by combining the solutions to the subproblems in a predetermined order.&nbsp;</p><p>By designing the algorithm in a way that allows for the combination of the optimal solutions to the subproblems, the optimal substructure property can be implemented in a dynamic programming algorithm, allowing for the efficient solution of complex problems.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">13. What is memoization and how is it used in dynamic programming?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">It's no surprise that this one pops up often in dynamic programming questions and answers. Memoization is a technique used to optimize the performance of a dynamic programming algorithm by storing the solutions to subproblems as they are calculated and then reusing these solutions rather than recalculating them. This technique is used to reduce the time and resources required to solve complex problems by avoiding unnecessary recalculations of subproblems.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">To use&nbsp;memoization&nbsp;in a dynamic programming algorithm, a table or array is typically used to store the solutions to the subproblems as they are calculated. This table or array is&nbsp;indexed by the variables that define the subproblems, with each cell containing the solution to a specific subproblem.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">For example, consider a problem where the subproblems are defined by a set of variables such as n and m. In this case, the table or array could be indexed by n and m, with each cell containing the solution to the subproblem defined by the values of n and m.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">To implement&nbsp;memoization&nbsp;in the algorithm, the solutions to the subproblems are stored in the corresponding cells of the table or array as they are calculated. This can be done using a recursive approach, where the solutions to the subproblems are stored in the table or array as they are calculated in a recursive manner. Alternatively, an iterative algorithm with a specific loop structure can be designed to allow for the storage of the solutions to the subproblems as they are calculated.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">14. Can you provide an example of how to use memoization to solve a problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>One example of how to use memoization to solve a problem is the Fibonacci sequence problem. In this problem, the goal is to find the nth number in the Fibonacci sequence, which is defined as the sum of the previous two numbers in the sequence.&nbsp;</p><p>To solve this problem using memoization, a table or array can be used to store the solutions to the subproblems as they are calculated. The subproblems in this case are defined by the value of n, with each cell of the table or array containing the solution to the subproblem defined by the value of n.&nbsp;</p><p>The algorithm can then be implemented in a recursive manner, with the solution to the overall problem being obtained by combining the solutions to the subproblems. As each subproblem is solved, its solution is stored in the corresponding cell of the table or array. If a subproblem is encountered again later in the algorithm, its solution can be retrieved from the table or array rather than being recalculated, saving time and resources.&nbsp;</p><p>For example, consider the following code snippet that implements memoization to solve the Fibonacci sequence problem:&nbsp;</p><div class="jsx-189f2d4cbe17d436 code-block-wrapper mt-spacing10 mb-[16.8px] md:mb-[24px] bg-black p-4 rounded-[12px] relative text-[#708090] overflow-hidden"><div class="jsx-189f2d4cbe17d436 absolute top-4 right-4 z-10"><div class="jsx-189f2d4cbe17d436 px-spacing12 bg-white rounded-full h-10 flex items-center cursor-pointer"><i class="jsx-189f2d4cbe17d436 text-black text-sm icon-copy"></i></div></div><div class="jsx-189f2d4cbe17d436 overflow-x-auto pb-[12px] w-full"><pre id="code-block-t85blwgu4" class="jsx-189f2d4cbe17d436 whitespace-pre-wrap break-words w-full font-mono text-sm">def fibonacci(n):
if n == 0 or n == 1:
return n&nbsp;
if table[n] != -1:
return table[n]&nbsp;
table[n] = fibonacci(n-1) + fibonacci(n-2)
return table[n]&nbsp;
table = [-1] * (n+1)
result = fibonacci(n) </pre></div></div><p>In this code snippet, the function fibonacci() is defined to take in a value of n and return the nth number in the Fibonacci sequence. The function first checks if n is equal to 0 or 1, in which case it returns the value of n. If n is greater than 1, the function then checks if the value of the nth cell in the table has already been calculated. If the value has been calculated, it is returned from the table rather than being recalculated.&nbsp;</p><p>If the value has not been calculated, the function calculates the value by adding the solutions to the subproblems defined by the values of n-1 and n-2. The solution is then stored in the nth cell of the table, and the function returns the value.&nbsp;</p><p>This process is repeated until the solution to the overall problem (the nth number in the Fibonacci sequence) is found. By using memoization, the solutions to the subproblems are stored and reused as needed, reducing the time and resources required to solve the problem.&nbsp;</p><p>It is important to note that memoization is not always the most appropriate solution method for a given problem, and it is important to carefully analyze the problem and its underlying structure in order to determine the most appropriate solution method. However, for problems that exhibit the properties of optimal substructure and overlapping subproblems, memoization can be a useful technique for optimizing the performance of a dynamic programming algorithm.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">15. How do you solve a dynamic programming problem using the bottom-up approach?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>In order to solve a dynamic programming problem using the bottom-up approach, the following steps can be taken:&nbsp;</p><ol class="CertTheme__ol1 pt-spacing10"><li class="CertTheme__listItem pt-spacing10">Breaking the problem down into smaller parts and defining the subproblems based on the values of the variables that define the problem.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Determine the order in which the subproblems should be solved. The bottom-up approach involves solving the subproblems with the lowest values of the defining variables first, and then gradually working up to the subproblems with higher values.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Create a table or array to store the solutions to the subproblems as they are calculated which is indexed by the variables that define the subproblems, with each cell containing the solution to a specific subproblem.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Implement an iterative algorithm that follows the order determined in step 2 to solve the subproblems. As each subproblem is solved, its solution is stored in the corresponding cell of the table or array.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">The solution to the overall problem can be obtained by combining the solutions to the subproblems in a predetermined order.&nbsp;</li></ol><p>By following these steps, a dynamic programming problem can be solved using the bottom-up approach, allowing for the efficient solution of complex problems.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">16. How do you solve a dynamic programming problem using the top-down approach with memoization?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>In order to solve a dynamic programming problem using the top-down approach with memoization, the following steps can be taken:&nbsp;</p><ol class="CertTheme__ol1 pt-spacing10"><li class="CertTheme__listItem pt-spacing10">Identify the subproblems that make up the overall problem and the relationships between these subproblems. This typically involves breaking the problem down into smaller parts and defining the subproblems based on the values of the variables that define the problem.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Create a table or array to store the solutions to the subproblems as they are calculated. This table or array should be indexed by the variables that define the subproblems, with each cell containing the solution to a specific subproblem.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Implement a recursive function that takes in the values of the variables that define the subproblems and returns the solution to the corresponding subproblem. As the function progresses and the subproblems are solved, the solutions are stored in the corresponding cells of the table or array.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">If a subproblem is encountered again later in the function, its solution can be retrieved from the table or array rather than being recalculated, saving time and resources. This technique is known as memoization.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Once the function has completed, the solution to the overall problem can be obtained by calling the function with the appropriate values of the variables that define the problem.&nbsp;</li></ol><p>By following these steps, a dynamic programming problem can be solved using the top-down approach with memoization, allowing for the efficient solution of complex problems.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">17. Can you give an example of a problem that can be solved using both the bottom-up and top-down approaches in dynamic programming?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">One example of a problem that can be solved using both the bottom-up and top-down approaches in dynamic programming is the Knapsack problem. In this problem, a set of items with specific values and weights is given, and the goal is to select a subset of the items with the maximum total value while staying within a given weight limit.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">To solve the Knapsack problem using the bottom-up approach, the algorithm would start by solving the subproblems with the lowest values of the defining variables (the weight and value of the items), and then gradually work its way up to the subproblems with higher values. As each subproblem is solved, its solution is stored in a table or array, and the solutions to the overall problem are obtained by combining the solutions to the subproblems in a predetermined order.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">To solve the Knapsack problem using the top-down approach with&nbsp;memoization, a recursive function could be implemented that takes in the values of the defining variables (the weight and value of the items) and returns the solution to the corresponding subproblem. As the function progresses and the subproblems are solved, the solutions are stored in a table or array using&nbsp;memoization. If a subproblem is encountered again later in the function, its solution can be retrieved from the table or array rather than being recalculated, saving time and resources.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Both the bottom-up and top-down approaches can be used to efficiently solve the Knapsack problem, making it a good example of a problem that can be solved using dynamic programming.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">18. How do you find the optimal solution to a dynamic programming problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">A common question in dynamic programming interview questions, don't miss this one. To find the optimal solution to a dynamic programming problem, firstly determine the component problems and their relationships to the overall problem. This is usually achieved by breaking down the problem into smaller parts and defining the components based on the variables that make up the overall problem.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Based on the structure of the problem and the desired solution method, determine the order in which subproblems should be solved. The subproblem solutions should be stored in a table or array and indexed by the variables defining the subproblems. Each cell must contain the solution to the&nbsp;subproblem. Afterward, each subproblem in the sequence must&nbsp;be solved with the help of an algorithm. It can be either recursive or iterative. In either case, the solution is stored in the cell corresponding to the subproblem.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">After&nbsp;all&nbsp;the subproblems have been solved, you can combine the solutions in a predetermined order to obtain the solution to the overall problem. It is the optimal solution when the value is maximized or the cost is minimized, depending on the problem's objective. By following these steps, the optimal solution to a dynamic programming problem can be found, allowing for the efficient solution of complex problems.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:0,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">19. Can you provide an example of how dynamic programming is used to solve a problem involving sequence alignment?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>One example of how dynamic programming is used to solve a problem involving sequence alignment is the Needleman-Wunsch algorithm, which is used to align two sequences of DNA or protein. This algorithm is based on the principle of dynamic programming, with the goal of finding the optimal alignment of the two sequences based on a set of scoring rules.&nbsp;</p><p>To solve the problem using the Needleman-Wunsch algorithm, the following steps can be taken:&nbsp;</p><ol class="CertTheme__ol1 pt-spacing10"><li class="CertTheme__listItem pt-spacing10">Define the subproblems that make up the overall problem, which in this case are the individual alignments of the two sequences.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Create a scoring matrix that assigns a score to each possible alignment of the two sequences based on the scoring rules.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Implement an algorithm to solve the subproblems in a bottom-up manner, starting with the alignments of the individual nucleotides or amino acids and gradually working up to the alignments of larger sections of the sequences.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">As each subproblem is solved, its solution is stored in a table or array, and the solutions to the overall problem are obtained by combining the solutions to the subproblems in a predetermined order.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Once all the subproblems have been solved, the optimal alignment of the two sequences can be obtained by backtracking through the table or array and following the path of the maximum score.&nbsp;</li></ol><p>By using dynamic programming to solve a sequence alignment problem, it is possible to identify the optimal alignment of the two sequences based on a set of scoring rules. This can be useful for a variety of applications, such as identifying similarities and differences between different species of organisms or determining the function of a protein based on its sequence.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">20. How do you use dynamic programming to solve a problem involving the knapsack problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>To use dynamic programming to solve a problem involving the knapsack problem, the following steps can be taken:&nbsp;</p><ol class="CertTheme__ol1 pt-spacing10"><li class="CertTheme__listItem pt-spacing10">Define the subproblems that make up the overall problem, which in this case are the combinations of items that can be placed in the knapsack. The subproblems can be defined based on the values of the variables that define the problem, such as the weight and value of the items and the weight limit of the knapsack.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Determine the order in which the subproblems should be solved. Create a table or array to store the solutions to the subproblems as they are calculated. Implement an algorithm to solve the subproblems in the determined order using a recursive approach, an iterative approach, or a combination of both. &nbsp;</li><li class="CertTheme__listItem pt-spacing10">The solution to the overall problem can be obtained by combining the solutions to the subproblems in a predetermined order. The optimal solution is the one that maximizes the total value of the items while staying within the weight limit of the knapsack.&nbsp;</li></ol><p>By using dynamic programming to solve a knapsack problem, it is possible to identify the optimal combination of items to place in the knapsack, maximizing the total value while staying within the weight limit. This can be useful for a variety of applications, such as packing a suitcase for a trip or selecting a set of items for a supply chain.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">21. Can you give an example of how dynamic programming is used to solve a problem involving image recognition?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">One example of how dynamic programming is used to solve a problem involving image recognition is the use of dynamic time warping (DTW) to align and compare sequences of image features.&nbsp;Dynamic Time Warping (DTW) is an algorithm that is used to align and compare sequences of data, such as time series data or image features. It is based on dynamic programming, and it is used to find the optimal alignment between two sequences by minimizing the accumulated distance between them.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">DTW is typically implemented using a two-dimensional matrix, where each element represents the accumulated distance between the corresponding elements in the two sequences. The algorithm starts by initializing the first element in the matrix to the distance between the first elements in the two sequences, and then it iteratively fills in the rest of the matrix by using a recurrence relation that&nbsp;takes into account&nbsp;the distances between the previous elements in the matrix.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">In the case of image recognition, DTW can be used to align and compare sequences of features extracted from images, such as SIFT features, HOG features, or any other features that are deemed useful. This could be useful for a variety of applications, such as object recognition, image alignment, or image comparison.</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">22. How do you use dynamic programming to solve a problem involving the shortest path in a graph?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>In order to use dynamic programming to solve a problem involving the shortest path in a graph, the following steps can be taken:&nbsp;</p><ol class="CertTheme__ol1 pt-spacing10"><li class="CertTheme__listItem pt-spacing10">Define the subproblems that make up the overall problem, which in this case are the shortest paths between pairs of nodes in the graph. &nbsp;</li><li class="CertTheme__listItem pt-spacing10">The subproblems can be defined based on the values of the variables that define the problem, such as the distance between the nodes and the intermediate nodes that are traversed along the path.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Determine the order in which the subproblems should be solved using the bottom-up or top-down approach, depending on the structure of the problem and the desired solution method.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Create a table or array to store the solutions to the subproblems as they are calculated. This table or array should be indexed by the variables that define the subproblems, with each cell containing the solution to a specific subproblem.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Implement an algorithm to solve the subproblems in the determined order using a recursive approach, an iterative approach, or a combination of both. The optimal solution is the one that minimizes the distance between the nodes.&nbsp;</li></ol><p>By using dynamic programming to solve a problem involving the shortest path in a graph, it is possible to identify the optimal path between pairs of nodes based on the distances between them. This can be useful for a variety of applications, such as routing packages in a delivery network or finding the shortest route between two locations on a map.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">23. Can you provide an example of how dynamic programming is used to solve a problem involving natural language processing?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">One example of how dynamic programming can be used in natural language processing is&nbsp;through the use of&nbsp;the&nbsp;Levenshtein&nbsp;distance algorithm. The&nbsp;Levenshtein&nbsp;distance is a measure of the similarity between two strings of text, and it can be calculated using dynamic programming.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">The&nbsp;Levenshtein&nbsp;distance is a measure of the minimum number of single-character edits (insertions, deletions, or substitutions) required to transform one string into the other. For example, the&nbsp;Levenshtein&nbsp;distance between the words "kitten" and "sitting" is 3, as it&nbsp;requires 3 single-character edits (i.e., replacing "k" with "s", replacing "e" with "i", and adding "g" at the end) to transform one into the other.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">The&nbsp;Levenshtein&nbsp;distance can be calculated using dynamic programming by creating a two-dimensional matrix, where each element represents the&nbsp;Levenshtein&nbsp;distance between the substring of one string and the substring of the other string. The algorithm starts by initializing the first row and column of the matrix to represent the distances between the empty string and the substrings of one of the strings. Then, the rest of the matrix is filled in by using a recurrence relation that&nbsp;takes into account&nbsp;the distances between the previous elements in the matrix.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">By using dynamic programming to solve a problem involving natural language processing, it is possible to calculate the similarity between two strings of text based on the minimum number of single-character edits required to transform one into the other. This can be useful for a variety of applications, such as spell checkers, speech recognition systems, or even natural language understanding systems.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">For example, in spell checkers, the&nbsp;Levenshtein&nbsp;distance can be used to compare a misspelled word with a dictionary of correctly spelled words to find the closest match. Similarly, in speech recognition systems, the&nbsp;Levenshtein&nbsp;distance can be used to compare the recognized speech with the expected speech to find the closest match.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Additionally, this concept can be used in natural language understanding as well, for example, if we have multiple different ways of asking the same question, we can calculate the&nbsp;levenshtein&nbsp;distance of the different ways and pick the one with the least distance. Furthermore,&nbsp;Levenshtein&nbsp;distance can be used to detect plagiarism, by comparing the text of two documents, the&nbsp;Levenshtein&nbsp;distance can be used to identify the similarities and differences between them, which can help in identifying plagiarism.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">24. How do you handle the case of overlapping subproblems in a dynamic programming algorithm?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">One of the most frequently posed dynamic programming for interviews, be ready for it. To handle the case of overlapping subproblems in a dynamic programming algorithm, one option is to use memoization. Memoization is a technique that involves storing the solutions to the subproblems in a table or array as they are calculated, and then using these stored solutions to avoid recalculating the same subproblems multiple times. By using memoization to handle the case of overlapping subproblems in a dynamic programming algorithm, it is possible to significantly improve the efficiency of the algorithm by avoiding unnecessary recalculations of the same subproblems. This can be especially useful for large or complex problems that require the solution of many subproblems.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span>&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">25. Can you provide an example of how dynamic programming can be used to solve a problem involving optimization, such as finding the minimum cost or maximum profit?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">One example of how dynamic programming can be used to solve a problem involving optimization is the use of the knapsack problem, which involves selecting a combination of items to place in a knapsack&nbsp;in order to&nbsp;maximize the total value while staying within a weight limit. By using dynamic programming to solve a problem involving optimization, such as the knapsack problem, it is possible to identify the optimal combination of items that maximizes the total value or minimizes the total cost, depending on the goal of the problem. This can be useful for a variety of applications, such as packing a suitcase for a trip or selecting a set of items for a supply chain.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span>&nbsp;</p></div></div></div></div><div class="relative"><div class="mt-spacing20 z-10 relative text-center flex justify-center mt-0"><button class="flex items-center gap-x-spacing8 py-spacing4"><span class="text-sm underline font-semibold text-mono-black">View all questions</span><i class="icon-chevron-down-double text-xl leading-5 text-neutral-800"></i></button></div><div class="absolute bottom-0 block h-32 w-full bg-gradient-to-t from-subdued/100 from-30% md:from-40%"></div></div></div></div></div><div class="hidden"><div><div class="text-xl text-neutral-800 mb-spacing20 font-bold">Intermediate</div><div class="relative w-full"><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-primary-main outline-2 shadow-card hover:shadow-card visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-t-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden">1. How do you choose between using the bottom-up and top-down approaches to solve a dynamic programming problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-0 text-neutral-800"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">When choosing between the bottom-up and top-down approaches to solve a dynamic programming problem, it is important to consider the characteristics of the problem and the desired solution method.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">The bottom-up approach is generally more suitable for problems that involve the accumulation of smaller subproblems to form the overall solution, as it involves solving the subproblems in an iterative manner, starting with the base case and gradually building up to the overall problem. This approach is also known as the constructive approach, as it involves constructing the solution to the overall problem from the solutions to the smaller subproblems.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">The top-down approach is generally more suitable for problems that can be divided into smaller and independent subproblems, as it involves solving the subproblems in a recursive manner, starting with the overall problem and breaking it down into smaller and smaller subproblems until the base case is reached. This approach is also known as the divide and conquer approach, as it involves dividing the problem into smaller pieces and solving them individually.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Other factors to consider when choosing between the bottom-up and top-down approaches include the time- and space-efficiency of the algorithms, the complexity of the solution method, and the desired level of control over the solution process.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">In general, the bottom-up approach is more efficient and requires less&nbsp;space but&nbsp;may be more complex and less flexible than the top-down approach. The top-down approach is generally simpler and easier to&nbsp;implement but&nbsp;may be less efficient and require more space.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Ultimately, the choice between the bottom-up and top-down approaches depends on the specific characteristics of the problem and the desired solution method. It may be necessary to try both approaches and compare the results&nbsp;in order to&nbsp;determine the most suitable approach for a given problem.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">2. Can you provide an example of how to use dynamic programming to solve a problem involving integer partitioning?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>To solve a problem involving integer partitioning using dynamic programming, the following steps can be taken, for example, to partition the integer 15 into a sum of smaller integers using dynamic programming, the following steps could be taken:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Define the subproblems: The subproblems in this case are the ways in which the integer 15 can be partitioned into smaller integers. The subproblems can be defined based on the values of the variables n (the integer to be partitioned) and k (the maximum value of the smaller integers).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Determine the order in which the subproblems should be solved: In this case, the bottom-up approach can be used, starting with the base case of n = 0 and gradually building up to the overall problem of n = 15.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Create a table or array to store the solutions to the subproblems: A two-dimensional table or array can be created, with the rows indexed by n and the columns indexed by k. Each cell of the table or array will contain the solution to a specific subproblem.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Implement the algorithm to solve the subproblems: The algorithm can be implemented using a bottom-up approach, starting with the base case of n = 0 and gradually building up to the overall problem of n = 15. The algorithm can be expressed as follows:&nbsp;</li></ul><div class="jsx-189f2d4cbe17d436 code-block-wrapper mt-spacing10 mb-[16.8px] md:mb-[24px] bg-black p-4 rounded-[12px] relative text-[#708090] overflow-hidden"><div class="jsx-189f2d4cbe17d436 absolute top-4 right-4 z-10"><div class="jsx-189f2d4cbe17d436 px-spacing12 bg-white rounded-full h-10 flex items-center cursor-pointer"><i class="jsx-189f2d4cbe17d436 text-black text-sm icon-copy"></i></div></div><div class="jsx-189f2d4cbe17d436 overflow-x-auto pb-[12px] w-full"><pre id="code-block-kcijhullq" class="jsx-189f2d4cbe17d436 whitespace-pre-wrap break-words w-full font-mono text-sm">For i = 0 to 15:&nbsp;
For j = 0 to 15:&nbsp;
If i = 0:&nbsp;
table[i][j] = 1&nbsp;
Else if j &gt; i:&nbsp;
table[i][j] = table[i][j-1]&nbsp;
Else: </pre></div></div><p>table[i][j] = table[i-j][j] + table[i][j-1]&nbsp;</p><p>In this algorithm, the table[i][j] cell represents the number of ways in which the integer i can be partitioned into smaller integers with a maximum value of j. The base case of i = 0 is initialized to 1, as there is only one way to partition the integer 0 (which is to include no smaller integers).&nbsp;</p><p>For all other cases, if j &gt; i, the number of ways to partition i is equal to the number of ways to partition i-1, as the integer i cannot be partitioned into a smaller integer with a value greater than itself. If j &lt;= i, the number of ways to partition i is equal to the number of ways to partition i-j (which includes the integer j) plus the number of ways to partition i-1 (which does not include the integer j).&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Obtain the solution to the overall problem: Once all of the subproblems have been solved, the solution to the overall problem can be obtained from the table[15][15] cell, which contains the number of ways in which the integer 15 can be partitioned into smaller integers with a maximum value of 15. In this case, the solution is the value of table[15][15] = 42.&nbsp;</li></ul><p>This is just one example of how dynamic programming can be used to solve a problem involving integer partitioning. The specific approach and solution method may vary depending on the specific characteristics of the problem and the desired solution.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">3. How do you use dynamic programming to solve a problem involving the Longest Increasing Subsequence (LIS)?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>Dynamic programming can be used to solve a problem involving the Longest Increasing Subsequence (LIS), which involves finding the longest subsequence of a given sequence of numbers such that all of the numbers in the subsequence are in increasing order.&nbsp;</p><p>To solve a problem involving the LIS using dynamic programming, we take the following example, to find the LIS of the sequence [3, 4, 1, 5, 6, 2, 7] using dynamic programming, the following steps could be taken:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Define the subproblems: The subproblems in this case are the longest increasing subsequences ending at each element of the given sequence. The subproblems can be defined based on the values of the variables i (the index of the element) and j (the value of the element).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Determine the order in which the subproblems should be solved: In this case, the bottom-up approach can be used, starting with the base case of i = 0 and gradually building up to the overall problem of i = 7.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Create a table or array to store the solutions to the subproblems: A two-dimensional table or array can be created, with the rows indexed by i and the columns indexed by j. Each cell of the table or array will contain the solution to a specific subproblem.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Implement the algorithm to solve the subproblems: The algorithm can be implemented using a bottom-up approach, starting with the base case of i = 0 and gradually building up to the overall problem of i = 7. The algorithm can be expressed as follows:&nbsp;</li></ul><div class="jsx-189f2d4cbe17d436 code-block-wrapper mt-spacing10 mb-[16.8px] md:mb-[24px] bg-black p-4 rounded-[12px] relative text-[#708090] overflow-hidden"><div class="jsx-189f2d4cbe17d436 absolute top-4 right-4 z-10"><div class="jsx-189f2d4cbe17d436 px-spacing12 bg-white rounded-full h-10 flex items-center cursor-pointer"><i class="jsx-189f2d4cbe17d436 text-black text-sm icon-copy"></i></div></div><div class="jsx-189f2d4cbe17d436 overflow-x-auto pb-[12px] w-full"><pre id="code-block-68kzdaesd" class="jsx-189f2d4cbe17d436 whitespace-pre-wrap break-words w-full font-mono text-sm">For i = 1 to 7:&nbsp;
For j = 0 to 7:&nbsp;
If j &lt; arr[i]:&nbsp;
table[i][j] = table[i-1][j]&nbsp;
Else:&nbsp;
table[i][j] = max(table[i-1][j], table[i-1][j-arr[i]] + 1)&nbsp;</pre></div></div><p>In this algorithm, the table[i][j] cell represents the length of the longest increasing subsequence ending at element i with a maximum value of j. The base case of i = 0 is initialized to 0, as there are no elements in the sequence at this point.&nbsp;</p><p>For all other cases, if j &lt; arr[i], the length of the longest increasing subsequence ending at element i is equal to the length of the longest increasing subsequence ending at element i-1, as element i cannot be included in the subsequence if its value is greater than j. If j &gt;= arr[i], the length of the longest increasing subsequence ending at element i is equal to the maximum of the length of the longest increasing subsequence ending at element i-1 (which does not include element i) and the length of the longest increasing subsequence ending at element i-1 with a maximum value of j-arr[i] (which includes element i).&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Obtain the solution to the overall problem: Once all of the subproblems have been solved, the solution to the overall problem can be obtained from the maximum value in the table[7][7] row, which represents the longest increasing subsequence of the given sequence. In this case, the solution is the maximum value in the table[7][7] row, which is the value of 4 (corresponding to the subsequence [3, 4, 5, 7]).&nbsp;</li></ul><p>This is just one example of how dynamic programming can be used to solve a problem involving the LIS. The specific approach and solution method may vary depending on the specific characteristics of the problem and the desired solution.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">4. Can you provide an example of how dynamic programming can be used to solve a problem involving matrix chain multiplication?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>In order to solve a problem involving matrix chain multiplication using dynamic programming, we take an example, to find the optimal order in which to multiply the matrices in the sequence [(10, 20), (20, 30), (30, 40), (40, 30)] using dynamic programming, the following steps could be taken:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Define the subproblems: The subproblems in this case are the optimal orders in which to multiply the matrices in the given sequence. The subproblems can be defined based on the values of the variables i (the starting index of the matrix chain) and j (the ending index of the matrix chain).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Determine the order in which the subproblems should be solved: In this case, the bottom-up approach can be used, starting with the base cases of i = 0 and j = 1 and gradually building up to the overall problem of i = 0 and j = 3.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Create a table or array to store the solutions to the subproblems: A two-dimensional table or array can be created, with the rows indexed by i and the columns indexed by j. Each cell of the table or array will contain the solution to a specific subproblem.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Implement the algorithm to solve the subproblems: The algorithm can be implemented using a bottom-up approach, starting with the base cases of i = 0 and j = 1 and gradually building up to the overall problem of i = 0 and j = 3. The algorithm can be expressed as follows:&nbsp;</li></ul><div class="jsx-189f2d4cbe17d436 code-block-wrapper mt-spacing10 mb-[16.8px] md:mb-[24px] bg-black p-4 rounded-[12px] relative text-[#708090] overflow-hidden"><div class="jsx-189f2d4cbe17d436 absolute top-4 right-4 z-10"><div class="jsx-189f2d4cbe17d436 px-spacing12 bg-white rounded-full h-10 flex items-center cursor-pointer"><i class="jsx-189f2d4cbe17d436 text-black text-sm icon-copy"></i></div></div><div class="jsx-189f2d4cbe17d436 overflow-x-auto pb-[12px] w-full"><pre id="code-block-javld42pt" class="jsx-189f2d4cbe17d436 whitespace-pre-wrap break-words w-full font-mono text-sm">For l = 2 to 3:&nbsp;
For i = 0 to 3-l:&nbsp;
j = i + l&nbsp;
m[i][j] = INF&nbsp;
For k = i+1 to j-1:&nbsp;
q = m[i][k] + m[k][j] + p[i]*p[k]*p[j]&nbsp;
If q &lt; m[i][j]:&nbsp;
m[i][j] = q </pre></div></div><p>In this algorithm, the m[i][j] cell represents the minimum number of scalar multiplications required to multiply the matrices in the chain from index i to index j. The base cases of i = 0 and j = 1 are initialized to 0, as there is only one matrix in the chain at this point.&nbsp;</p><ol class="CertTheme__ol1 pt-spacing10"><li class="CertTheme__listItem pt-spacing10">For all other cases, the minimum number of scalar multiplications required to multiply the matrices in the chain from index i to index j is equal to the minimum of the number of scalar multiplications required to multiply the matrices in the chain from index i to index k plus the number of scalar multiplications required to multiply the matrices in the chain from index k to index j, plus the number of scalar multiplications required to multiply the matrices at index i, index k, and index j (which is equal to p[i]*p[k]*p[j], where p[i] is the number of rows in the matrix at index i and p[j] is the number of columns in the matrix at index j).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Obtain the solution to the overall problem: Once all of the subproblems have been solved, the solution to the overall problem can be obtained from the m[0][3] cell, which contains the minimum number of scalar multiplications required to multiply the matrices in the given sequence. In this case, the solution is the value of m[0][3] = 26000.&nbsp;</li></ol><p>This is just one example of how dynamic programming can be used to solve a problem involving matrix chain multiplication. The specific approach and solution method may vary depending on the specific characteristics of the problem and the desired solution</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">5. How do you use dynamic programming to solve a problem involving the Knapsack Problem with multiple constraints?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto">This a most asked dynamic programming question, be prepared to answer this one. One approach to solving this type of problem is to use a three-dimensional table or array to store the solutions to the subproblems, with each cell representing the maximum value that can be obtained from the items in the list up to the current index i, with a weight no greater than w, and with a number of items no greater than n.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto">The algorithm can then iterate through each item in the list and evaluate the maximum value that can be obtained by either including or excluding the item from the selection. If the item is included, the weight and number of items in the selection are updated accordingly, and the value of the selection is updated to be the maximum value of the previous selection plus the value of the current item. If the item is excluded, the weight and number of items in the selection remain unchanged, and the value of the selection remains the same as the previous selection.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto">The algorithm can also check for the constraints on the selection, such as the maximum weight and number of items, and skip the inclusion of the current item if the constraints are not met.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto">Once all of the items in the list have been evaluated, the optimal solution can be obtained from the maximum value in the table or array.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto">For example, to solve the problem described above using this approach, the following algorithm could be implemented:</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><div class="jsx-189f2d4cbe17d436 code-block-wrapper mt-spacing10 mb-[16.8px] md:mb-[24px] bg-black p-4 rounded-[12px] relative text-[#708090] overflow-hidden"><div class="jsx-189f2d4cbe17d436 absolute top-4 right-4 z-10"><div class="jsx-189f2d4cbe17d436 px-spacing12 bg-white rounded-full h-10 flex items-center cursor-pointer"><i class="jsx-189f2d4cbe17d436 text-black text-sm icon-copy"></i></div></div><div class="jsx-189f2d4cbe17d436 overflow-x-auto pb-[12px] w-full"><pre id="code-block-8uu6krpz8" class="jsx-189f2d4cbe17d436 whitespace-pre-wrap break-words w-full font-mono text-sm"><span data-contrast="auto">For i = 0 to 4:</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span>
<span data-contrast="auto">For w = 0 to 10:</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span>
<span data-contrast="auto">For n = 0 to 3:</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span>
<span data-contrast="auto">If i == 0 or n == 0 or w == 0:</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span>
<span data-contrast="auto">table[i][w][n] = 0</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span>
<span data-contrast="auto">Elif weight[i] &lt;= w and n &gt; 0:</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span>
<span data-contrast="auto">table[i][w][n] = max(table[i-1][w][n], table[i-1][w-weight[i]][n-1] + value[i])</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span>
<span data-contrast="auto">Elif weight[i] &gt; w:</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span>
<span data-contrast="auto">table[i][w][n] = table[i-1][w][n]</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span>
<span data-contrast="auto">If i == 4 and w == 10 and n == 3:</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span>
<span data-contrast="auto">return table[i][w][n]</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></pre></div></div><p><span data-contrast="auto">In this algorithm, the table[i][w][n] cell represents the maximum value that can be obtained from the items in the list up to the current index i, with a weight no greater than w, and with several items no greater than n. The base cases of i = 0, w = 0, and n = 0 are initialized to 0, as there are no items in the selection at this point.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto">For all other cases, if the weight of the current item is less than or equal to the current weight limit and the number of items in the selection is greater than 0, the maximum value that can be obtained from the items in the list up to the current index i is equal to the maximum of the maximum value of the previous selection (which does not include the current item) and the maximum value of the previous selection with a weight limit of w-weight[i] and a number of items limit of n-1 (which includes the current item). If the weight of the current item is greater than the current weight limit, the maximum value that can be obtained from the items in the list up to the current index i is equal to the maximum value of the previous selection (which does not include the current item).</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto">Once all of the items in the list have been evaluated, the optimal solution can be obtained from the maximum value in the table[4][10][3] cell, which represents the maximum value that can be obtained from the items in the list with a weight no greater than 10, and with a number of items no greater than 3. In this case, the optimal solution is the value of table[4][10][3] = 80.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto">This is just one example of how dynamic programming can be used to solve a problem involving the Knapsack Problem with multiple constraints. The specific approach and solution method may vary depending on the specific characteristics of the problem and the desired solution.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">6. Can you provide an example of how dynamic programming can be used to solve a problem involving the Traveling Salesman Problem (TSP)?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>The approach to solving the TSP using dynamic programming is to use a three-dimensional table or array to store the solutions to the subproblems, with each cell representing the minimum distance from the starting city to the current city I, via the previous city j, after visiting k cities.&nbsp;</p><p>The algorithm can then iterate through each city in the set and evaluate the minimum distance from the starting city to the current city I, via the previous city j, after visiting k cities. The minimum distance can be calculated by adding the distance from the previous city j to the current city I to the minimum distance from the starting city to the previous city j, after visiting k-1 cities.&nbsp;</p><p>Once all the cities in the set have been evaluated, the optimal solution can be obtained from the minimum distance in the table or array that corresponds to the starting city, the current city, and the number of cities visited equal to the total number of cities in the set. In this case, the optimal solution is the shortest possible route for the salesperson to visit all of the cities, starting and ending at the same city, and visiting each city exactly once.&nbsp;</p><p>For example, to solve the problem described above using this approach, the following algorithm could be implemented:&nbsp;</p><div class="jsx-189f2d4cbe17d436 code-block-wrapper mt-spacing10 mb-[16.8px] md:mb-[24px] bg-black p-4 rounded-[12px] relative text-[#708090] overflow-hidden"><div class="jsx-189f2d4cbe17d436 absolute top-4 right-4 z-10"><div class="jsx-189f2d4cbe17d436 px-spacing12 bg-white rounded-full h-10 flex items-center cursor-pointer"><i class="jsx-189f2d4cbe17d436 text-black text-sm icon-copy"></i></div></div><div class="jsx-189f2d4cbe17d436 overflow-x-auto pb-[12px] w-full"><pre id="code-block-zr858dxrj" class="jsx-189f2d4cbe17d436 whitespace-pre-wrap break-words w-full font-mono text-sm">For i = 0 to 4:&nbsp;
For j = 0 to 4:&nbsp;
For k = 2 to 5:&nbsp;
If i == j:&nbsp;
continue&nbsp;
If j == 0 and k == 2:&nbsp;
table[i][j][k] = distance[i][j]&nbsp;
Elif j != 0 and k &gt; 2:&nbsp;
table[i][j][k] = min(table[i][j][k], table[j][m][k-1] + distance[j][i])&nbsp;
If i == 0 and j == 0 and k == 5: </pre></div></div><p>return table[i][j][k]&nbsp;</p><p>In this algorithm, the table[i][j][k] cell represents the minimum distance from the starting city to the current city i, via the previous city j, after visiting k cities. The base cases of i = 0, j = 0, and k = 2 are initialized to the distance from the starting city to the first city in the set, as this is the minimum distance at this point.&nbsp;</p><p>For all other cases, if the previous city j is not equal to the current city i and the number of cities visited k is greater than 2, the minimum distance from the starting city to the current city i, via the previous city j, after visiting k cities is equal to the minimum of the minimum distance from the starting city to the current city i, via the previous city j, after visiting k cities and the minimum distance from the starting city to the previous city j, via an intermediate city m, after visiting k-1 cities, plus the distance from the previous city j to the current city i.&nbsp;</p><p>Once all of the cities in the set have been evaluated, the optimal solution can be obtained from the minimum distance in the table[0][0][5] cell, which represents the minimum distance from the starting city to the starting city, via an intermediate city, after visiting all 5 cities in the set. In this case, the optimal solution is the value of table[0][0][5] = 60.&nbsp;</p><p>This is just one example of how dynamic programming can be used to solve a problem involving the Traveling Salesman Problem (TSP). The specific approach and solution method may vary depending on the specific characteristics of the problem and the desired solution.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">7. How do you use dynamic programming to solve a problem involving the Optimal Binary Search Tree (OBST)?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">Store the solutions to the subproblems, with each cell representing the minimum cost or weight of the optimal binary search tree for a specific subrange of keys.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">The algorithm can then iterate through each subrange of keys, starting with the subranges with the smallest number of keys and gradually building up to the overall subrange with&nbsp;all of&nbsp;the keys. For each subrange of keys, the algorithm can evaluate the cost or weight of&nbsp;each possible root key for the subrange, by adding the cost or weight of the root key to the cost or weight of the optimal binary search trees for the left and right subranges of keys.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">The optimal binary search tree for a specific subrange of keys is then equal to the minimum cost or weight of the root key plus the optimal binary search trees for the left and right subranges of keys. This value is stored in the corresponding cell of the table or array.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Once all of the subranges of keys have been evaluated, the optimal solution can be obtained from the minimum cost or weight in the&nbsp;table[0][4] cell, which represents the minimum cost or weight of the optimal binary search tree for the overall subrange of keys with all 5 keys.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">8. Can you provide an example of how dynamic programming can be used to solve a problem involving the Edit Distance problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>Let us take two strings&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">First string: "kitten"&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Second string: "sitting"&nbsp;</li></ul><p>using dynamic programming, the following steps could be taken:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Define the subproblems: The subproblems in this case are the minimum number of operations needed to transform a subrange of characters in the first string into a subrange of characters in the second string. The subproblems can be defined based on the values of the variables i (the index of the first character in the subrange of the first string) and j (the index of the first character in the subrange of the second string).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Determine the order in which the subproblems should be solved: In this case, the bottom-up approach can be used, starting with the base cases of i = 0 and j = 0 and gradually building up to the overall problem of i = 0 and j = 6.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Create a table or array to store the solutions to the subproblems: A two-dimensional table or array can be created, with the rows indexed by i and the columns indexed by j. Each cell of the table or array will contain the solution to a specific subproblem.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Implement the algorithm to solve the subproblems: The algorithm can be implemented using a bottom-up approach, starting with the base cases of i = 0 and j = 0 and gradually building up to the overall problem of i = 0 and j = 6. The algorithm can iterate through each subrange of characters in the strings, starting with the subranges with the smallest number of characters and gradually building up to the overall subrange with all 6 characters.&nbsp;</li></ul><p>For each subrange of characters, the algorithm can evaluate the minimum number of operations needed to transform the subrange of characters in the first string into the subrange of characters in the second string. This can be done using the following recurrence relation:&nbsp;</p><p>If the characters at the current positions in the first and second strings are the same, the minimum number of operations needed to transform the subrange of characters in the first string into the subrange of characters in the second string is equal to the minimum number of operations needed to transform the subrange of characters in the first string into the subrange of characters in the second string, excluding the current character.&nbsp;</p><p>If the characters at the current positions in the first and second strings are different, the minimum number of operations needed to transform the subrange of characters in the first string into the subrange of characters in the second string is equal to the minimum of the following:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">The minimum number of operations needed to transform the subrange of characters in the first string into the subrange of characters in the second string, excluding the current character in the first string and replacing it with the current character in the second string.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">The minimum number of operations needed to transform the subrange of characters in the first string into the subrange of characters in the second string, excluding the current character in the second string and replacing it with the current character in the first string.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">The minimum number of operations needed to transform the subrange of characters in the first string into the subrange of characters in the second string, excluding the current characters in both strings and replacing them with different characters.&nbsp;</li></ul><p>Once the minimum number of operations needed to transform the subrange of characters in the first string into the subrange of characters in the second string has been calculated, it can be stored in the corresponding cell of the table or array.&nbsp;</p><p>Once all of the subranges of characters have been evaluated, the optimal solution can be obtained from the minimum number of operations in the table[0][6] cell, which represents the minimum number of operations needed to transform the first string into the second string. In this case, the optimal solution is the value of table[0][6] = 3, indicating that 3 operations (2 substitutions and 1 insertion) are needed to transform the first string "kitten" into the second string "sitting".&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">9. How do you use dynamic programming to solve a problem involving the All-Pairs Shortest Path (APSP) problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>We will solve a problem involving the All-Pairs Shortest Path (APSP) problem and the following inputs: Graph: 5 vertices (A, B, C, D, E) and 7 edges (A-B, B-C, C-D, D-E, A-D, B-E, E-C) using dynamic programming, the following steps could be taken:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Define the subproblems: The subproblems in this case are the shortest paths between all pairs of vertices in the graph. The subproblems can be defined based on the values of the variables i (the index of the starting vertex) and j (the index of the ending vertex).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Determine the order in which the subproblems should be solved: In this case, the bottom-up approach can be used, starting with the base cases of i = j and gradually building up to the overall problem of i ≠ j.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Create a table or array to store the solutions to the subproblems: A two-dimensional table or array can be created, with the rows indexed by i and the columns indexed by j. Each cell of the table or array will contain the solution to a specific subproblem.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Implement the algorithm to solve the subproblems: The algorithm can be implemented using a bottom-up approach, starting with the base cases of i = j and gradually building up to the overall problem of i ≠ j. The algorithm can iterate through each pair of vertices, starting with the pairs with the same vertex and gradually building up to the pairs with different vertices.&nbsp;</li></ul><p>For each pair of vertices (i, j), the algorithm can evaluate the shortest path between the vertices by considering the following options:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">If i = j, the shortest path between the vertices is 0 (since the starting and ending vertices are the same).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">If i ≠ j, the shortest path between the vertices can be found by considering all possible intermediate vertices (k) and choosing the shortest path between the vertices that includes the intermediate vertex. The shortest path between the vertices (i, j) can be calculated using the following recurrence relation: shortest_path[i][j] = min(shortest_path[i][k] + shortest_path[k][j])<br>where shortest_path[i][j] is the shortest path between the vertices (i, j), shortest_path[i][k] is the shortest path between the vertices (i, k), and shortest_path[k][j] is the shortest path between the vertices (k, j).&nbsp;</li></ul><p>Once the shortest path between the vertices (i, j) has been calculated, it can be stored in the corresponding cell of the table or array.&nbsp;</p><p>Once all of the pairs of vertices have been evaluated, the optimal solution can be obtained from the shortest path values in the table or array. In this case, the optimal solution is the matrix of shortest path values between all pairs of vertices in the graph.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">10. How do you use dynamic programming to solve a problem involving the Min Cost Max Flow problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>In order to calculate the maximum flow of the network between vertices A and D with minimum cost using the capacities and costs of the edges given above, the following steps can be taken:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">For the overall problem, the maximum flow of the network between vertices A and D with minimum cost can be evaluated by considering the capacities and costs of the edges.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For the sub-network between vertices A and B, the maximum flow of the network with minimum cost can be calculated using the recurrence relation above. In this case, the maximum flow of the network between vertices A and B with minimum cost is 2, since this is the capacity of the edge between vertices A and B and the cost is 5.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For the sub-network between vertices B and C, the maximum flow of the network with minimum cost can be calculated using the recurrence relation above. In this case, the maximum flow of the network between vertices B and C with minimum cost is 3, since this is the capacity of the edge between vertices B and C and the cost is 10.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For the sub-network between vertices C and D, the maximum flow of the network with minimum cost can be calculated using the recurrence relation above. In this case, the maximum flow of the network between vertices C and D with minimum cost is 4, since this is the capacity of the edge between vertices C and D and the cost is 2.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">The optimal solution is the maximum flow of the network between vertices A and D with minimum cost, which can be obtained by combining the solutions to the subproblems in a predetermined order. In this case, the optimal solution is the maximum flow of the network between vertices A and D with minimum cost, which is 4.&nbsp;</li></ul><p>This is just one example of how dynamic programming can be used to solve a problem involving the Min Cost Max Flow problem.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">11. Can you provide an example of how dynamic programming can be used to solve a problem involving the Subset Sum problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>The Subset Sum problem involves finding a subset of a given set of integers whose sum is equal to a target value. Here is an example of how to solve this problem using dynamic programming:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Define a two-dimensional array dp[i][j], where i is the index of the element in the set and j is the target sum.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Initialize the array such that dp[0][0] is true and all other values are false.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For each element i in the set:&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For each sum j from 0 to the maximum sum:&nbsp;<ul><li class="CertTheme__listItem pt-spacing10">If dp[i-1][j] is true, set dp[i][j] to true.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">If dp[i-1][j-set[i]] is true, set dp[i][j] to true.&nbsp;</li></ul></li><li class="CertTheme__listItem pt-spacing10">Return dp[n][sum], where n is the size of the set and sum is the target sum.&nbsp;</li></ul><p>This algorithm has a time complexity of O(n*sum), where n is the size of the set and sum is the target sum. Here is some example code in Python that demonstrates how to solve the Subset Sum problem using dynamic programming:&nbsp;</p><div class="jsx-189f2d4cbe17d436 code-block-wrapper mt-spacing10 mb-[16.8px] md:mb-[24px] bg-black p-4 rounded-[12px] relative text-[#708090] overflow-hidden"><div class="jsx-189f2d4cbe17d436 absolute top-4 right-4 z-10"><div class="jsx-189f2d4cbe17d436 px-spacing12 bg-white rounded-full h-10 flex items-center cursor-pointer"><i class="jsx-189f2d4cbe17d436 text-black text-sm icon-copy"></i></div></div><div class="jsx-189f2d4cbe17d436 overflow-x-auto pb-[12px] w-full"><pre id="code-block-gp9xg01t8" class="jsx-189f2d4cbe17d436 whitespace-pre-wrap break-words w-full font-mono text-sm">def subset_sum(set, sum):&nbsp;
n = len(set)&nbsp;
dp = [[False for j in range(sum+1)] for i in range(n+1)]&nbsp;
for i in range(n+1):&nbsp;
dp[i][0] = True&nbsp;
for i in range(1, n+1):&nbsp;
for j in range(1, sum+1):&nbsp;
if j &lt; set[i-1]:&nbsp;
dp[i][j] = dp[i-1][j]&nbsp;
else:&nbsp;
dp[i][j] = dp[i-1][j] or dp[i-1][j-set[i-1]]&nbsp;
return dp[n][sum]&nbsp;
set = [3, 34, 4, 12, 5, 2]&nbsp;
sum = 9&nbsp;
print(subset_sum(set, sum))&nbsp;</pre></div></div><p>This code will output True, indicating that there is a subset of the given set whose sum is equal to 9.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">12. Describe any challenges or limitations encountered while working with dynamic programming problems</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p></p><p>This question is a regular feature in dynamic programming interview questions, be ready to tackle it. Several challenges and limitations that one may encounter when working with dynamic programming:&nbsp;</p><ol class="CertTheme__ol1 pt-spacing10"><li class="CertTheme__listItem pt-spacing10"><strong>Time complexity:&nbsp;</strong>One challenge of dynamic programming is that the <a href="blog/programming/time-complexity" target="_blank">time complexity</a> of algorithms can be high, especially for larger problems. To address this, it is important to carefully design the algorithm to minimize the number of subproblems that need to be solved and to use techniques such as memoization to improve efficiency.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Space complexity:</strong> Dynamic programming algorithms often require the use of large data structures to store the solutions to subproblems, which can result in high space complexity. To address this, it is important to carefully design the data structures to minimize their size and to use techniques such as top-down approaches to reduce the amount of space required.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Problem formulation:&nbsp;</strong>Dynamic programming relies on the problem being able to be decomposed into smaller subproblems, and not all problems are amenable to this approach. It is important to carefully analyze the problem to determine whether it can be solved using dynamic programming, and if not, to consider alternative approaches.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Debugging:&nbsp;</strong>Debugging dynamic programming algorithms can be challenging due to their recursive nature and the large number of subproblems that need to be solved. It can be helpful to use techniques such as print statements and manual calculations to trace the execution of the algorithm and identify any errors.&nbsp;</li></ol><p></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">13. Explain how dynamic programming can be used in natural language processing</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>Dynamic programming can be used in <a href="blog/data-science/nlp-data-science" target="_blank">natural language processing</a> (NLP) to solve a wide range of problems involving the analysis and understanding of human language. Some examples of NLP tasks that can be solved using dynamic programming include:&nbsp;</p><ol class="CertTheme__ol1 pt-spacing10"><li class="CertTheme__listItem pt-spacing10">Machine translation: Dynamic programming can be used to align and translate sentences from one language to another by breaking the problem down into smaller subproblems and storing the solutions to these subproblems in order to avoid recomputing them.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Text summarization: Dynamic programming can be used to identify the most important sentences in a document and generate a summary by breaking the problem down into smaller subproblems and storing the solutions to these subproblems.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Part-of-speech tagging: Dynamic programming can be used to assign part-of-speech tags to words in a sentence by breaking the problem down into smaller subproblems and storing the solutions to these subproblems in order to avoid recomputing them.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Named entity recognition: Dynamic programming can be used to identify and classify named entities (such as people, organizations, and locations) in text by breaking the problem down into smaller subproblems and storing the solutions to these subproblems.&nbsp;</li></ol><p>Dynamic programming is particularly useful for NLP tasks that involve finding the optimal solution to a problem by considering multiple factors or variables. By breaking the problem down into smaller subproblems and storing the solutions to these subproblems, dynamic programming algorithms can efficiently and effectively find the optimal solution to the problem&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">14. How dynamic programming can be used in sequence alignment</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">Dynamic programming can be used in sequence alignment to identify similarities and differences between two or more sequences of DNA, RNA, or protein. Sequence alignment is an important tool in molecular biology and bioinformatics, as it allows researchers to identify functional and evolutionary relationships between different sequences.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">To solve a sequence alignment problem using dynamic programming, the problem is first formulated as a matrix where each element represents the similarity between two elements of the sequences being aligned. The matrix is then filled in using a recursive algorithm that compares the elements of the sequences and determines the optimal alignment by considering the scores of the surrounding elements. The final alignment is then obtained by tracing back through the matrix and identifying the optimal path.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Dynamic programming is particularly useful for sequence alignment problems because it allows the algorithm to efficiently and effectively find the optimal alignment by considering&nbsp;the scores of all possible alignments and selecting the one with the highest score. This is especially important for longer sequences, where the number of possible alignments grows exponentially with the length of the sequences. By breaking the problem down into smaller subproblems and storing the solutions to these subproblems, dynamic programming algorithms can efficiently and effectively solve sequence alignment problems.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">15. How do you determine the time and space complexity of a dynamic programming algorithm</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">The time and space complexity of a dynamic programming algorithm can be determined by analyzing the number of subproblems that need to be solved and the size of the data structures used to store the solutions to these subproblems.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">To determine the time complexity of a dynamic programming algorithm, one can count the number of subproblems that need to be solved&nbsp;in order to&nbsp;find the solution to the problem. The time complexity is then expressed as a function of the number of subproblems, such as O(n^2) for an algorithm that solves n subproblems in quadratic time or O(n^3) for an algorithm that solves n subproblems in cubic time.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">To determine the space complexity of a dynamic programming algorithm, one can count the size of the data structures used to store the solutions to the subproblems. For example, a two-dimensional array with n rows and m columns requires O(nm) space, while a linked list with n elements requires O(n) space. The space complexity is then expressed as a function of the size of the data structures, such as O(nm) for an algorithm that uses an nm-sized array or O(n) for an algorithm that uses an n-element linked list.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">It is important to carefully analyze the time and space complexity of a dynamic programming algorithm&nbsp;in order to&nbsp;understand its efficiency and to determine whether it is suitable for solving a particular problem.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}"></span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">16. How do you use dynamic programming to solve a problem involving the 3SUM problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>The 3SUM problem involves finding a set of three numbers in a given array that sum to a target value. Here is an example of how to solve this problem using dynamic programming:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Sort the array in ascending order.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Define a two-dimensional array dp[i][j], where i is the index of the first element in the set and j is the target sum.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Initialize the array such that dp[i][0] is true for all i, and all other values are false.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For each element i in the array:&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For each sum j from 0 to the maximum sum:&nbsp;<ul><li class="CertTheme__listItem pt-spacing10">If dp[i-1][j] is true, set dp[i][j] to true.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">If dp[i-1][j-arr[i]] is true, set dp[i][j] to true.&nbsp;</li></ul></li><li class="CertTheme__listItem pt-spacing10">Return dp[n][sum], where n is the size of the array and sum is the target sum.&nbsp;</li></ul><p>This algorithm has a time complexity of O(n*sum), where n is the size of the array and sum is the target sum. Here is some example code in Python that demonstrates how to solve the 3SUM problem using dynamic programming:&nbsp;</p><div class="jsx-189f2d4cbe17d436 code-block-wrapper mt-spacing10 mb-[16.8px] md:mb-[24px] bg-black p-4 rounded-[12px] relative text-[#708090] overflow-hidden"><div class="jsx-189f2d4cbe17d436 absolute top-4 right-4 z-10"><div class="jsx-189f2d4cbe17d436 px-spacing12 bg-white rounded-full h-10 flex items-center cursor-pointer"><i class="jsx-189f2d4cbe17d436 text-black text-sm icon-copy"></i></div></div><div class="jsx-189f2d4cbe17d436 overflow-x-auto pb-[12px] w-full"><pre id="code-block-cd9efbbs5" class="jsx-189f2d4cbe17d436 whitespace-pre-wrap break-words w-full font-mono text-sm">def three_sum(arr, sum):&nbsp;
n = len(arr)&nbsp;
dp = [[False for j in range(sum+1)] for i in range(n+1)]&nbsp;
for i in range(n+1):&nbsp;
dp[i][0] = True&nbsp;
for i in range(1, n+1):&nbsp;
for j in range(1, sum+1):&nbsp;
if j &lt; arr[i-1]:&nbsp;
dp[i][j] = dp[i-1][j]&nbsp;
else:&nbsp;
dp[i][j] = dp[i-1][j] or dp[i-1][j-arr[i-1]]&nbsp;
return dp[n][sum]&nbsp;
arr = [3, 34, 4, 12, 5, 2]&nbsp;
sum = 9&nbsp;
print(three_sum)&nbsp;
sum(arr, sum)) </pre></div></div><p>This code defines a function three_sum that takes in an array arr and a target sum sum, and returns True if there is a set of three numbers in the array that sum to sum, and False otherwise. The function initializes the dp array such that dp[i][0] is True for all i, which represents the case where the sum is zero and can be achieved by selecting no elements. It then iterates through the elements of the array and the possible sums, and uses the values in the dp array to determine whether a sum can be achieved using the previous elements and the current element. If a sum can be achieved using the previous elements, it sets dp[i][j] to True. If a sum can be achieved using the previous elements and the current element, it also sets dp[i][j] to True. The function then returns the value of dp[n][sum], which represents whether the target sum can be achieved using the elements of the array.&nbsp;</p><p>This algorithm can be used to solve the 3SUM problem by simply checking whether three_sum(arr, sum) returns True for the given array and target sum.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">17. How can dynamic programming be used as a component of machine learning algorithms?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">Dynamic programming can be used as a component of machine learning algorithms&nbsp;in order to&nbsp;improve their efficiency and accuracy. Machine learning algorithms often involve searching through a large space of possible solutions&nbsp;in order to&nbsp;find the optimal one, and dynamic programming can be used to efficiently explore this space by breaking the problem down into smaller subproblems and storing the solutions to these subproblems in order to avoid recomputing them.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">One example of a machine learning algorithm that uses dynamic programming is the Viterbi algorithm, which is used to find the most likely sequence of hidden states given a sequence of observations. The Viterbi algorithm uses dynamic programming to efficiently search through the space of possible sequences of hidden states and find the one with the highest probability.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Another example is the forward-backward algorithm, which is used to estimate the probability of a sequence of observations given a hidden Markov model. The forward-backward algorithm uses dynamic programming to efficiently compute the probability of the observations and to update the parameters of the hidden Markov model.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Dynamic programming can also be used as a component of other machine learning algorithms, such as decision tree learning and neural network training,&nbsp;in order to&nbsp;improve their efficiency and accuracy. By breaking the problem down into smaller subproblems and storing the solutions to these subproblems, dynamic programming can help machine learning algorithms find the optimal solution to a problem more efficiently.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">18. How can dynamic programming be used in control systems design</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">Dynamic programming can be used in control systems design to solve a wide range of optimization problems involving the control of systems over time. Control systems are used&nbsp;in a variety of applications, including aerospace, automotive, and robotics, to control the behavior of systems such as aircraft, vehicles, and robots.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">One example of a control system design problem that can be solved using dynamic programming is the linear-quadratic regulator (LQR) problem, which involves designing a controller to stabilize a linear system while minimizing a quadratic cost function. The LQR problem can be solved using dynamic programming by formulating the problem as a sequence of decision stages, with each stage representing a time step in the control of the system. The solution to the problem is then obtained by finding the optimal sequence of control actions that minimizes the cost function over time.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Another example is the model predictive control (MPC) problem, which involves designing a controller to optimize the performance of a system over a finite horizon by predicting the future behavior of the system and selecting the optimal control actions at each time step. The MPC problem can be solved using dynamic programming by formulating the problem as a sequence of decision stages, with each stage representing a time step in the control of the system. The solution to the problem is then obtained by finding the optimal sequence of control actions that minimizes the cost function over the finite horizon.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Dynamic programming is particularly useful for control systems design problems because it allows the algorithm to efficiently and effectively find the optimal solution to the problem by considering the impact of control actions over time. By breaking the problem down into smaller subproblems and storing the solutions to these subproblems, dynamic programming algorithms can efficiently and effectively solve control systems design problems.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">19. Can you provide an example of how dynamic programming can be used to solve a problem involving the Subset Difference problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>The Subset Difference problem involves finding a subset of a given array such that the difference between the sum of the elements in the subset and the sum of the elements not in the subset is minimized. Here is an example of how to solve this problem using dynamic programming:</span></p><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem pt-spacing10"><span>Define a two-dimensional array dp[i][j], where i is the index of the last element in the subset and j is the difference between the sum of the elements in the subset and the sum of the elements not in the subset.</span></li><li value="2" class="CertTheme__listItem pt-spacing10"><span>Initialize the array such that dp[0][0] is True and all other values are False.</span></li><li value="3" class="CertTheme__listItem pt-spacing10"><span>For each element i in the array and for each difference j from -arr[i] to arr[i]:</span></li><li value="4" class="CertTheme__listItem pt-spacing10"><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem pt-spacing10"><span>If dp[i-1][j] is True, set dp[i][j] to True.</span></li><li value="2" class="CertTheme__listItem pt-spacing10"><span>If dp[i-1][j-arr[i]] is True, set dp[i][j] to True.</span></li><li value="3" class="CertTheme__listItem pt-spacing10"><span>If dp[i-1][j+arr[i]] is True, set dp[i][j] to True.</span></li></ul></li><li value="4" class="CertTheme__listItem pt-spacing10"><span>Find the minimum absolute difference diff such that dp[n][diff] or dp[n][-diff] is True, where n is the size of the array.</span></li><li value="5" class="CertTheme__listItem pt-spacing10"><span>Return diff.</span></li></ul><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>This algorithm has a time complexity of O(n*sum), where n is the size of the array and sum is the sum of the elements in the array.</span></p></div></div></div></div><div class="relative"><div class="mt-spacing20 z-10 relative text-center flex justify-center mt-0"><button class="flex items-center gap-x-spacing8 py-spacing4"><span class="text-sm underline font-semibold text-mono-black">View all questions</span><i class="icon-chevron-down-double text-xl leading-5 text-neutral-800"></i></button></div><div class="absolute bottom-0 block h-32 w-full bg-gradient-to-t from-subdued/100 from-30% md:from-40%"></div></div></div></div></div><div class="hidden"><div><div class="text-xl text-neutral-800 mb-spacing20 font-bold">Advanced</div><div class="relative w-full"><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-primary-main outline-2 shadow-card hover:shadow-card visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-t-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden">1. Can you provide an example of how dynamic programming can be used to solve a problem involving the Coin Change problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-0 text-neutral-800"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>For each amount of money n, the algorithm can evaluate the minimum number of coins needed to make the amount by considering the denominations of the coins available. The minimum number of coins needed to make the amount n can be calculated using the following recurrence relation:&nbsp;</p><div class="jsx-189f2d4cbe17d436 code-block-wrapper mt-spacing10 mb-[16.8px] md:mb-[24px] bg-black p-4 rounded-[12px] relative text-[#708090] overflow-hidden"><div class="jsx-189f2d4cbe17d436 absolute top-4 right-4 z-10"><div class="jsx-189f2d4cbe17d436 px-spacing12 bg-white rounded-full h-10 flex items-center cursor-pointer"><i class="jsx-189f2d4cbe17d436 text-black text-sm icon-copy"></i></div></div><div class="jsx-189f2d4cbe17d436 overflow-x-auto pb-[12px] w-full"><pre id="code-block-gyhlfso0j" class="jsx-189f2d4cbe17d436 whitespace-pre-wrap break-words w-full font-mono text-sm">min_coins[n] = min(min_coins[n - denominations[i]]) + 1&nbsp;</pre></div></div><p>where min_coins[n] is the minimum number of coins needed to make the amount n, denominations[i] is the value of the i-th coin denomination, and min_coins[n - denominations[i]] is the minimum number of coins needed to make the amount n - denominations[i].&nbsp;</p><p>For example, to calculate the minimum number of coins needed to make the amount 63 using the denominations 1, 5, 10, 25, the following steps can be taken:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">For n = 0, the minimum number of coins needed is 0 (since 0 coins are needed to make 0 money).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For n = 1, the minimum number of coins needed is 1 (since 1 coin of denomination 1 is needed to make 1 money).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For n = 2, the minimum number of coins needed is 2 (since 2 coins of denomination 1 are needed to make 2 money).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For n = 3, the minimum number of coins needed is 3 (since 3 coins of denomination 1 are needed to make 3 money).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For n = 4, the minimum number of coins needed is 4 (since 4 coins of denomination 1 are needed to make 4 money).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For n = 5, the minimum number of coins needed is 1 (since 1 coin of denomination 5 is needed to make 5 money).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For n = 6, the minimum number of coins needed is 2 (since 1 coin of denomination 5 and 1 coin of denomination 1 are needed to make 6 money).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For n = 7, the minimum number of coins needed is 3 (since 1 coin of denomination 5 and 2 coins of denomination 1 are needed to make 7 money).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For n = 8, the minimum number of coins needed is 4 (since 1 coin of denomination 5 and 3 coins of denomination 1 are needed to make 8 money).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For n = 9, the minimum number of coins needed is 5 (since 1 coin of denomination 5 and 4 coins of denomination 1 are needed to make 9 money).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For n = 10, the minimum number of coins needed is 1 (since 1 coin of denomination 10 is needed to make 10 money).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For n = 11, the minimum number of coins needed is 2 (since 1 coin of denomination 10 and 1 coin of denomination 1 are needed to make 11 money).&nbsp;</li><li class="CertTheme__listItem pt-spacing10">...&nbsp;</li></ul><p>Once the minimum number of coins needed to make the amount n has been calculated, it can be stored in the corresponding cell of the table or array.&nbsp;</p><p>Once all of the amounts of money have been evaluated, the optimal solution can be obtained from the minimum number of coins needed values in the table or array. In this case, the optimal solution is the minimum number of coins needed to make the amount of 63 money.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">2. Describe a real-world problem that you have solved using dynamic programming? How did you approach the problem and what was the outcome?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">A must-know for anyone heading into a dynamic programming interview, this question is frequently asked in dynamic programming coding questions. One example of a real-world problem that can be solved using dynamic programming is the Traveling Salesman Problem (TSP). The TSP involves finding the shortest possible route that visits a given set of cities and returns to the starting city. This problem can be formulated as a sequence of decision stages, with each stage representing the decision of which city to visit next. The solution to the problem can then be obtained by finding the optimal sequence of decisions that minimizes the total distance traveled.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">To solve the TSP using dynamic programming, one could define a two-dimensional array&nbsp;dp[i][j], where&nbsp;i&nbsp;is the index of the last city visited and j is the city that the salesman is currently in. The array could then be filled in using a recursive algorithm that compares the distances between pairs of cities and determines the optimal decision by considering the values of the surrounding elements in the array. The final solution would be obtained by tracing back through the array and identifying the optimal path.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">This algorithm would have a time complexity of O(n^2*2^n), where n is the number of cities, making it efficient for solving the problem for small to medium-sized sets of cities. The outcome of the algorithm would be the shortest possible route that visits&nbsp;all of&nbsp;the cities and returns to the starting city.</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">3. Differentiate between overlapping and non-overlapping subproblems?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">In dynamic programming, subproblems are smaller versions of the original problem that can be solved independently and combined to solve the larger problem. Subproblems are said to be overlapping if they share common subproblems, and non-overlapping if they do not.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">For example, consider the problem of computing the nth Fibonacci number using dynamic programming. In this problem, the subproblems are the computation of the (n-1)th&nbsp;and (n-2)th&nbsp;Fibonacci numbers. These subproblems are overlapping because they both depend on the computation of the (n-3)rd&nbsp;Fibonacci number.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">On the other hand, consider the problem of computing the minimum number of coins needed to make a given amount of money. In this problem, the subproblems are the computation of the minimum number of coins needed to make smaller amounts of money, such as 1 cent, 2 cents, 3 cents, and so on. These subproblems are non-overlapping because they do not share any common subproblems.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Dynamic programming algorithms that use overlapping subproblems are typically more efficient because they avoid recomputing the same subproblems multiple times. Non-overlapping subproblems, on the other hand, do not share any common subproblems and must be solved independently, which can lead to a slower algorithm.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">4. How do you define subproblems in a dynamic programming problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">In dynamic programming, subproblems are smaller versions of the original problem that can be solved independently and combined to solve the larger problem. To define subproblems in a dynamic programming problem, one must identify the optimal substructures within the problem and break the problem down into smaller subproblems that can be solved independently.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">For example, consider the problem of computing the nth Fibonacci number using dynamic programming. In this problem, the optimal substructure is the relationship between the nth Fibonacci number and the (n-1)th&nbsp;and (n-2)th&nbsp;Fibonacci numbers, which states that the nth Fibonacci number is the sum of the (n-1)th&nbsp;and (n-2)th&nbsp;Fibonacci numbers. Based on this optimal substructure, the problem can be broken down into the subproblems of computing the (n-1)th&nbsp;and (n-2)th&nbsp;Fibonacci numbers. These subproblems can then be solved independently and combined to solve the larger problem.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow visible"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">5. How do you use dynamic programming to solve a problem involving the Min Cost Arborescence problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">The MCA problem involves finding the minimum cost tree rooted at a given node in a directed graph. A tree is a connected acyclic graph, and a minimum cost tree is a tree with the minimum total edge weight among all possible&nbsp;trees&nbsp;rooted at the same node. The MCA problem is useful for finding the minimum cost of connecting a set of nodes in a directed graph, such as in network design or transportation systems.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">To solve the MCA problem using dynamic programming, one can define a two-dimensional array&nbsp;dp[i][j] where&nbsp;i&nbsp;is the index of the current node and j is the parent of the current node. The array can then be initialized such that&nbsp;dp[root][root] is 0 and all other values are infinity, where root is the root node of the tree. The array can be filled in using a recursive&nbsp;algorithm that compares the weights of the incoming edges to the current node and determines the minimum cost tree by considering the values of the surrounding elements in the array.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">The time complexity of this algorithm is O(n^2), where n is the number of nodes in the graph, making it efficient for solving the problem for small to medium-sized graphs. The solution to the problem is then obtained by tracing back through the&nbsp;dp&nbsp;array and identifying the edges that form the minimum cost tree rooted at the root node.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">6. How do you store and retrieve solutions to subproblems in a dynamic programming algorithm?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">There are two common approaches for storing and retrieving solutions to subproblems in a dynamic programming algorithm:&nbsp;memoization&nbsp;and tabulation.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Memoization&nbsp;is a technique for storing the solutions to subproblems in a table or an array and retrieving them when needed. In&nbsp;memoization, the solutions to subproblems are stored in a table or an array as they are computed, and the table or array is indexed using the parameters of the subproblem. To retrieve a solution to a subproblem, the algorithm looks up the solution in the table or array using the subproblem's parameters as the index.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Tabulation is a technique for storing the solutions to subproblems in a table or an array and retrieving them when needed. In tabulation, the solutions to subproblems are stored in a table or an array after&nbsp;all of&nbsp;the subproblems have been solved. The table or array is typically filled in using a bottom-up approach, starting from the subproblems with the smallest parameters and working up to the subproblems with the largest parameters. To retrieve a solution to a subproblem, the algorithm looks up the solution in the table or array using the subproblem's parameters as the index.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Both&nbsp;memoization&nbsp;and tabulation are efficient approaches for storing and retrieving solutions to subproblems in a dynamic programming algorithm, and the choice of which&nbsp;one to use depends on the specific requirements of the problem and the available resources.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">7. Can you describe an example of a problem that can be solved using both dynamic programming and greedy algorithms, and how you would decide which one to use?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">A top dynamic programming interview question, don't miss this one. One example of a problem that can be solved using both dynamic programming and greedy algorithms is the Knapsack problem.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">The Knapsack problem is a classic optimization problem in which a set of items with different weights and values must be chosen to fit inside a knapsack with a given capacity such that the total value of the chosen items is maximized.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">A dynamic programming approach to solving the Knapsack problem involves defining a two-dimensional array&nbsp;dp[i][j], where&nbsp;i&nbsp;is the index of the current item and j is the remaining capacity of the&nbsp;knapsack, and&nbsp;filling in the array using a recursive algorithm. The algorithm compares the value of the current item to the value of the items that come before it and chooses the combination that maximizes the total value.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">A greedy approach to solving the Knapsack problem involves sorting the items by value-to-weight ratio and repeatedly choosing the next highest ratio item until the knapsack is full. This approach does not consider the long-term consequences of the choices made and may not always lead to the optimal solution.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Both the dynamic programming and greedy approaches to solving the Knapsack problem have their own trade-offs and may be more suitable for different types of inputs. The dynamic programming approach is generally more time-consuming but guarantees an optimal solution, while the greedy approach is faster but may not always lead to an optimal solution.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">8. How can dynamic programming be used to solve a problem involving the maximum independent set problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">The maximum independent set (MIS) problem involves finding the largest subset of nodes in a graph such that no two nodes in the subset are connected by an edge. One way to solve this problem using dynamic programming is to define a one-dimensional array&nbsp;dp[i], where&nbsp;i&nbsp;is the index of the current node, and fill in the array using a recursive algorithm.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">The algorithm can be initialized such that&nbsp;dp[0] is 0 and all other values are -1. Then, for each node&nbsp;i&nbsp;in the graph, starting from the first node and working up to the last node, the value of&nbsp;dp[i] can be set to the maximum of&nbsp;dp[i-1] and&nbsp;dp[i-2] + w[i], where w[i] is the weight of the current node. This approach exploits the optimal substructure of the MIS problem, which states that the maximum independent set for a given node&nbsp;i&nbsp;is either the maximum independent set for the previous node i-1 or the maximum independent set for the node i-2 plus the current node&nbsp;i, depending on which one has a higher weight.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">The time complexity of this algorithm is O(n), making it efficient for solving the problem for large graphs. The solution to the problem is then obtained by tracing back through the&nbsp;dp&nbsp;array and identifying the nodes that form the maximum independent set.</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">9. What is the maximum matching problem in a bipartite graph and how can it be solved via dynamic programming?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">The maximum matching problem in a bipartite graph involves finding the largest set of edges such that no two edges share an endpoint. This problem is useful for finding the maximum number of pairings in a two-sided market, such as in job matching or college admissions.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">One way to solve the maximum matching problem in a bipartite graph using dynamic programming is to define a one-dimensional array&nbsp;dp[i], where&nbsp;i&nbsp;is the index of the current node, and fill in the array using a recursive algorithm. The algorithm can be initialized such that&nbsp;dp[0] is 0 and all other values are -1. Then, for each node&nbsp;i&nbsp;in the graph, starting from&nbsp;the first node and working up to the last node, the value of&nbsp;dp[i] can be set to the maximum of&nbsp;dp[i-1] and&nbsp;dp[i-2] + w[i], where w[i] is the weight of the current node. This approach exploits the optimal substructure of the maximum matching problem, which states that the maximum matching for a given node&nbsp;i&nbsp;is either the maximum matching for the previous node i-1 or the maximum matching for the node i-2 plus the current node&nbsp;i, depending on which one has a higher weight.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">The time complexity of this algorithm is O(n), making it efficient for solving the problem for large graphs. The solution to the problem is then obtained by tracing back through the&nbsp;dp&nbsp;array and identifying the edges that form the maximum matching.</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">10. What are the pros and cons of using dynamic programming to solve problems?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>There are several pros and cons to using dynamic programming to solve problems:&nbsp;</p><p><strong>Pros:</strong>&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Dynamic programming algorithms can be very efficient, with time complexities of O(n^2) or O(n^3) for many problems.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Dynamic programming algorithms can be used to solve a wide range of problems, including optimization, control systems design, and natural language processing.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Dynamic programming algorithms can take advantage of the optimal substructure of problems, which means that the solution to a larger problem can be obtained by combining the solutions to smaller subproblems.&nbsp;</li></ul><p><strong>Cons:</strong>&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Dynamic programming algorithms can be difficult to implement and debug, especially for more complex problems.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Dynamic programming algorithms often require a lot of space to store the solutions to subproblems, which can be a limitation for large problems.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Dynamic programming algorithms may not be the most intuitive or straightforward approach for solving certain problems and may require a deeper understanding of the problem and the algorithm.&nbsp;</li></ul><p>Overall, dynamic programming can be a powerful tool for solving problems, but it is important to carefully consider the pros and cons and choose the appropriate approach for the specific problem at hand.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">11. What are the steps to implement the recursive algorithm to solve the subproblems in dynamic programming?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">To implement the recursive algorithm to solve the subproblems in dynamic programming, you will first need to identify the subproblems in the problem. These subproblems should be smaller versions of the overall problem that can be solved individually and then combined to form a solution to the overall problem.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Once you have identified the subproblems, you will need to determine the order in which they should be solved. This order should be determined based on the dependencies between the subproblems. For example, if one subproblem depends on the solution to another subproblem, that subproblem should be solved first.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Once you have determined the order in which the subproblems should be solved, you can implement the recursive algorithm to solve them. This can be done using a function that takes the subproblem as an input and returns the solution to the subproblem. The function should first check if the solution to the subproblem has already been computed, and if it has, it should return the stored solution. If the solution has not been computed, the function should compute the solution by solving the subproblems that it depends on and then combining the solutions to these subproblems in a predetermined way.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Once the solution to the subproblem has been computed, it should be stored so that it can be reused if the same subproblem is encountered again. This process of storing and reusing solutions is known as&nbsp;memorization&nbsp;and is a key concept in dynamic programming.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Once&nbsp;all of&nbsp;the subproblems have been solved, the final solution to the overall problem can be obtained by combining the solutions to the subproblems in a predetermined way. This final solution should be returned by the recursive function.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">12. How to find the Kth largest element in a number stream using dynamic programming?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>To find the Kth largest element in a number stream using dynamic programming, we can use a min-heap data structure to store the K largest elements seen so far. The min-heap will have a size of K, and will store the elements in ascending order, with the smallest element at the root.&nbsp;</p><p>As new numbers are received in the stream, we can follow the following steps:&nbsp;</p><p><strong>Step 1:&nbsp;</strong>If the number is smaller than the smallest element in the heap, we can ignore it as it is not one of the K largest elements seen so far.&nbsp;</p><p>If the number is larger than the smallest element in the heap, we can insert it into the heap. We can do this by adding the number to the end of the heap and then adjusting the heap to maintain the min-heap property. This can be done using the "heapify up" operation, where we compare the new element to its parent and swap them if necessary, until the min-heap property is restored.&nbsp;</p><p><strong>Step 2:&nbsp;</strong>If the heap has more than K elements, we can remove the smallest element from the heap. This can be done using the "heapify down" operation, where we remove the root of the heap, replace it with the last element in the heap, and then compare the new root to its children and swap them if necessary until the min-heap property is restored.&nbsp;</p><p><strong>Step 3:&nbsp;</strong>After all the numbers in the stream have been processed, the Kth largest element in the number stream will be the root of the min-heap. This algorithm has a time complexity of O(K log K) for each insertion, as the heap needs to be adjusted after each insertion. The space complexity is O(K) for the heap.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">13. How do you use dynamic programming to solve a problem involving the Min Cost Max Flow problem with edge demands?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>In order to solve a problem involving the Min Cost Max Flow problem with edge demands using dynamic programming, we can use the following steps:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Create a two-dimensional table, with the rows representing the vertices in the graph and the columns representing the flow values.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Initialize the first row and first column of the table to reflect the minimum cost and maximum flow for an empty graph.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For each row i and column j, starting from the second row and column, do the following:&nbsp;<ul><li class="CertTheme__listItem pt-spacing10">For each edge e connecting vertex i to vertex k, calculate the minimum cost and maximum flow for the edge.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">The value in the table at i, j is the minimum of the following two values:&nbsp;</li></ul></li><li class="CertTheme__listItem pt-spacing10">The value in the table at i, j-1 plus the minimum cost and maximum flow for the edge&nbsp;</li><li class="CertTheme__listItem pt-spacing10">The value in the table at k, j plus the minimum cost and maximum flow for the edge&nbsp;</li><li class="CertTheme__listItem pt-spacing10">The minimum cost and maximum flow for the entire graph is the value in the table at the last row and column.&nbsp;</li></ul><p>This algorithm has a time complexity of O(V E) for each insertion, as the table needs to be updated for each vertex and edge in the graph. The space complexity is O(V E) for the table&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">14. Can you provide an example of how dynamic programming can be used to solve a problem involving the Min Cost Max Flow problem with multiple commodity types?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>To solve a problem involving the Min Cost Max Flow problem with multiple commodity types using dynamic programming, we can use the following steps:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Create a three-dimensional table, with the first dimension representing the vertices in the graph, the second dimension representing the flow values, and the third dimension representing the commodity types.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Initialize the first row and first column of the table to reflect the minimum cost and maximum flow for an empty graph and the first commodity type.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For each row i and column j, starting from the second row and column, do the following:&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For each edge e connecting vertex i to vertex k, and for each commodity type c, calculate the minimum cost and maximum flow for the edge.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">The value in the table at i, j, c is the minimum of the following two values:&nbsp;<ul><li class="CertTheme__listItem pt-spacing10">The value in the table at i, j-1, c plus the minimum cost and maximum flow for the edge&nbsp;</li><li class="CertTheme__listItem pt-spacing10">The value in the table at k, j, c plus the minimum cost and maximum flow for the edge&nbsp;</li></ul></li><li class="CertTheme__listItem pt-spacing10">The minimum cost and maximum flow for the entire graph is the value in the table at the last row and column for each commodity type.&nbsp;</li></ul><p>This algorithm has a time complexity of O(V E C) for each insertion, as the table needs to be updated for each vertex, edge, and commodity type in the graph. The space complexity is O(V E C) for the table.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">15. What are the steps followed while solving the Matrix Chain Multiplication problem using dynamic programming?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>Here is one way to solve the Matrix Chain Multiplication problem using dynamic programming:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">Define a two-dimensional array M[i][j], where M[i][j] represents the minimum number of multiplications needed to compute the matrix A[i] to A[j].&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Initialize the array M such that M[i][i] = 0 for all i.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For each l from 2 to n, where n is the length of the sequence of matrices, do the following:&nbsp;</li><li class="CertTheme__listItem pt-spacing10">For each i from 1 to n - l + 1, do the following:&nbsp;<ul><li class="CertTheme__listItem pt-spacing10">Set j = i + l - 1.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Set M[i][j] to the minimum of M[i][k] + M[k + 1][j] + A[i - 1] * A[k] * A[j] for all k from i to j - 1.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">Return M[1][n], which is the minimum number of multiplications needed to compute the entire sequence of matrices.&nbsp;</li></ul></li></ul><p>This algorithm has a time complexity of O(n^3), which makes it efficient for solving the Matrix Chain Multiplication problem for small to medium-sized sequences of matrices.&nbsp;</p><p>To implement this algorithm in code, you can use a nested loop structure to fill in the M array as described above. You can also use a recursive function to compute the minimum number of multiplications needed to compute a sub-sequence of matrices and use memorization to store and retrieve the results of the recursive function to avoid recomputing subproblems.&nbsp;</p><p>Here is an example of how the Matrix Chain Multiplication problem can be solved using dynamic programming in Python:&nbsp;</p><div class="jsx-189f2d4cbe17d436 code-block-wrapper mt-spacing10 mb-[16.8px] md:mb-[24px] bg-black p-4 rounded-[12px] relative text-[#708090] overflow-hidden"><div class="jsx-189f2d4cbe17d436 absolute top-4 right-4 z-10"><div class="jsx-189f2d4cbe17d436 px-spacing12 bg-white rounded-full h-10 flex items-center cursor-pointer"><i class="jsx-189f2d4cbe17d436 text-black text-sm icon-copy"></i></div></div><div class="jsx-189f2d4cbe17d436 overflow-x-auto pb-[12px] w-full"><pre id="code-block-2cqib7l48" class="jsx-189f2d4cbe17d436 whitespace-pre-wrap break-words w-full font-mono text-sm">def matrix_chain_multiplication(dimensions):&nbsp;
n = len(dimensions) - 1 # number of matrices&nbsp;
M = [[0 for j in range(n)] for i in range(n)] # initialize M[i][j] to 0&nbsp;
# fill in M[i][j] using a nested loop structure&nbsp;
for l in range(2, n + 1):&nbsp;
for i in range(1, n - l + 2):&nbsp;
j = i + l - 1&nbsp;
M[i][j] = float("inf") # set M[i][j] to infinity&nbsp;
for k in range(i, j):&nbsp;
M[i][j] = min(M[i][j], M[i][k] + M[k + 1][j] + dimensions[i - 1] * dimensions[k] * dimensions[j])&nbsp;
return M[1][n] # return the minimum number of multiplications needed&nbsp;
# test the function&nbsp;
dimensions = [10, 30, 5, 60]&nbsp;
print(matrix_chain_multiplication(dimensions)) # expected output: 4500&nbsp;</pre></div></div><p>This code defines a function matrix_chain_multiplication that takes a list of the dimensions of the matrices in the sequence as input and returns the minimum number of multiplications needed to compute the entire sequence. The function initializes the M array and fills it in using the nested loop structure.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">16. What is the Min Cost Max Flow problem with negative edge weights? Which algorithm will you use to solve this?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>The Min Cost Max Flow problem with negative edge weights is a variation of the Min Cost Max Flow problem that involves finding the maximum flow of a network with multiple sources and sinks while minimizing the total cost of the flow, where some of the edges in the network have negative weights or costs. This problem can be represented as a graph with nodes representing the sources, sinks, and intermediate nodes, and edges representing the flow between the nodes.&nbsp;</p><p>The presence of negative edge weights introduces the possibility of negative cycles in the network, which can lead to an infinite flow and infinite cost. To avoid this, it is necessary to check for the existence of negative cycles and remove them before solving the Min Cost Max Flow problem. This can be done using algorithms such as the Bellman-Ford algorithm or the Floyd-Warshall algorithm.&nbsp;</p><p>Once the negative cycles have been removed, the Min Cost Max Flow problem with negative edge weights can be solved using a variety of algorithms, including linear programming, network flow algorithms, and dynamic programming. The choice of algorithm depends on the specific constraints and characteristics of the problem, such as the size of the network, the number of time periods, and the complexity of the costs.&nbsp;</p><div class="jsx-189f2d4cbe17d436 code-block-wrapper mt-spacing10 mb-[16.8px] md:mb-[24px] bg-black p-4 rounded-[12px] relative text-[#708090] overflow-hidden"><div class="jsx-189f2d4cbe17d436 absolute top-4 right-4 z-10"><div class="jsx-189f2d4cbe17d436 px-spacing12 bg-white rounded-full h-10 flex items-center cursor-pointer"><i class="jsx-189f2d4cbe17d436 text-black text-sm icon-copy"></i></div></div><div class="jsx-189f2d4cbe17d436 overflow-x-auto pb-[12px] w-full"><pre id="code-block-qi3ispyod" class="jsx-189f2d4cbe17d436 whitespace-pre-wrap break-words w-full font-mono text-sm">def min_cost_max_flow(graph, source, sink):&nbsp;
# initialize the flow and cost arrays&nbsp;
flow = [[0 for j in range(len(graph[0]))] for i in range(len(graph))]&nbsp;
cost = [[0 for j in range(len(graph[0]))] for i in range(len(graph))]&nbsp;
# fill in the flow and cost arrays&nbsp;
for i in range(len(graph)):&nbsp;
for j in range(len(graph[0])):&nbsp;
if i == j:&nbsp;
flow[i][j] = float("inf")&nbsp;
else:&nbsp;
flow[i][j] = graph[i][j][0]&nbsp;
cost[i][j] = graph[i][j][1]&nbsp;
# define the dp array&nbsp;
dp = [[[float("inf") for k in range(len(graph[0]))] for j in range(len(graph[0]))] for i in range(len(graph))]&nbsp;
dp[source][source][0] = 0&nbsp;
# fill in the dp array using a nested loop structure&nbsp;
for i in range(len(graph)):&nbsp;
for j in range(len(graph[0])):&nbsp;
for f in range(len(graph[0])):&nbsp;
if dp[i][j][f] == float("inf"):&nbsp;
continue&nbsp;
for k in range(len(graph[0])):&nbsp;
if flow[j][k] == 0:&nbsp;
continue&nbsp;
new_flow = min(f, flow[j][k])&nbsp;
if dp[i][k][new_flow] &gt; dp[i][j][f] + new_flow * cost[j][k]:&nbsp;
dp[i][k][new_flow] = dp[i][j][f] + new_flow * cost[j][k]&nbsp;
flow[j][k] -= new_flow&nbsp;
flow[k][j] += new_flow&nbsp;
# find the minimum cost and maximum flow&nbsp;
min_cost = float("inf")&nbsp;
max_flow = 0&nbsp;
for f in range(len(graph[0])):&nbsp;
if dp[source][sink][f] &lt; min_cost:&nbsp;
min_cost = dp[source][sink][f]&nbsp;
max_flow = f&nbsp;
return min_cost, max_flow&nbsp;
# test the function&nbsp;
graph = [[(0, 0), (16, 8), (13, 4), (0, 0)],&nbsp;
[(0, 0), (0, 0), (12, 6), (20, 10)],&nbsp;
[(0, 0), (4, 2), (0, 0), (9, 6)],&nbsp;
[(0, 0), (0, 0), (0, 0), (0, 0)]]&nbsp;
source = 0&nbsp;
sink = 3 
print(min_cost_max_flow(graph, source, sink)) # expected output: (48, 10)&nbsp;</pre></div></div><p>This code defines a function min_cost_max_flow that takes a weighted graph graph, a source node source, and a sink node sink as input, and returns a tuple containing the minimum cost of sending the maximum possible flow from the source to the sink in the graph.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">17. How to decide when to use linear programming, network flow algorithms, and dynamic programming to solve a problem?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>Linear programming, network flow algorithms, and dynamic programming are all optimization techniques that can be used to solve a wide range of problems. The choice of which technique to use depends on the specific constraints and characteristics of the problem being solved. Here are some general guidelines for deciding when to use each technique:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10"><strong>Linear programming:</strong> Linear programming is a technique for optimizing a linear objective function subject to linear constraints. It is useful for solving problems that can be modeled as a system of linear equations or inequalities, such as finding the optimal allocation of resources to maximize profit or minimize cost. Linear programming is typically faster and more accurate than other optimization techniques for problems with a small number of variables and constraints.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Network flow algorithms:</strong> Network flow algorithms are techniques for finding the maximum flow through a network with a single source and sink. They are useful for solving problems involving the transportation of goods or the allocation of resources in a network, such as the Min Cost Max Flow problem. Network flow algorithms are typically more efficient than linear programming for problems with a large number of variables and constraints, and they can be used to solve problems with multiple sources and sinks by using a series of single-source, single-sink flow problems.&nbsp;</li><li class="CertTheme__listItem pt-spacing10"><strong>Dynamic programming:</strong> Dynamic programming is a technique for solving optimization problems by breaking them down into smaller subproblems and storing the solutions to these subproblems in a table or array. It is useful for solving problems with optimal substructure, where the optimal solution for a given subproblem depends on the optimal solutions of its subproblems. Dynamic programming is typically slower than linear programming or network flow algorithms for problems with a small number of variables and constraints, but it can be more efficient for problems with many variables and constraints or for problems with complex constraints that cannot be easily expressed as a system of linear equations or inequalities.&nbsp;</li></ul><p>In general, linear programming is the most efficient technique for solving problems with a small number of variables and constraints, while network flow algorithms and dynamic programming are more efficient for larger problems with more complex constraints. It is often useful to try multiple techniques and compare the results to determine the most efficient solution for a given problem.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">18. What is the Min Cost Max Flow problem with multiple time periods?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">One of the most frequently posed dynamic programming interview questions, be ready for it. The Min Cost Max Flow problem with multiple time periods is a variation of the Min Cost Max Flow problem that involves finding the maximum flow of a network over multiple time periods while minimizing the total cost of the flow. This problem can be represented as a graph with nodes representing the sources, sinks, and intermediate nodes, and edges representing the flow between the nodes over multiple time periods. Each edge has a weight or cost associated with it, and the goal of the Min Cost Max Flow problem with multiple time periods is to find the flow that maximizes the total flow while minimizing the total cost over all time periods.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">This problem can be solved using a variety of algorithms, including linear programming, network flow algorithms, and dynamic programming. The choice of algorithm depends on&nbsp;the specific constraints and characteristics of the problem, such as the size of the network, the number of time periods, and the complexity of the costs.</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">19. How do you use dynamic programming to solve a problem involving the Min Cost Max Flow problem with multiple objectives?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p><span data-contrast="auto" lang="EN">Dynamic programming can be used to solve the Min Cost Max Flow problem, a network optimization problem that involves finding the maximum flow of a network with multiple sources and sinks while minimizing the total cost of the flow. To solve this problem using dynamic programming, we can define a multi-dimensional array&nbsp;dp[i][j][k], where&nbsp;i&nbsp;is the index of the current node in the network, j is the objective being minimized or maximized (such as the cost of flow or the flow rate), and k is the value of the objective.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">We can then initialize the array such that&nbsp;dp[0][j][k] is 0 for all j and k, and all other values are set to infinity. This ensures that the first node in the network has a cost and flow rate of 0, and all other nodes are considered to have infinite cost and flow rate until they are processed.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">Next, we can iterate over each node&nbsp;i&nbsp;in the graph and each objective j and value k, setting the value of&nbsp;dp[i][j][k] to the minimum or maximum of&nbsp;dp[i-1][j][k] and&nbsp;dp[i-1][j][k-w[i]] + c[i], where w[i] is the weight of the current node and c[i] is the cost associated with the objective j. This step takes advantage of the optimal substructure of the Min Cost Max Flow problem, which states that the optimal solution for a given node&nbsp;i&nbsp;is either the optimal solution for the previous node i-1 or the optimal solution for the node i-2 plus the current node&nbsp;i, depending on which combination results in the minimum or maximum value for the objective j.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p><p><span data-contrast="auto" lang="EN">The time complexity of this algorithm is O(n^3), making it efficient for solving the problem for small to medium-sized graphs. The solution to the problem is then obtained by tracing back through the&nbsp;dp&nbsp;array and identifying the flow and costs that achieve the desired&nbsp;objectives.</span><span data-ccp-props="{&quot;201341983&quot;:0,&quot;335559685&quot;:-15,&quot;335559738&quot;:200,&quot;335559740&quot;:360}">&nbsp;</span></p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">20. Can you provide an example of how dynamic programming can be used to solve a problem involving the Min Cost Max Flow problem with multi-commodity flow constraints?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p>In order to solve a problem involving the Min Cost Max Flow problem with multi-commodity flow constraints using dynamic programming, we can use the following steps:&nbsp;</p><p><strong>Step 1:</strong> Create a four-dimensional table, with the first dimension representing the vertices in the graph, the second dimension representing the flow values, the third dimension representing the commodity types, and the fourth dimension representing the flow conservation constraints.&nbsp;</p><p><strong>Step 2:</strong> Initialize the first row and first column of the table to reflect the minimum cost and maximum flow for an empty graph, the first commodity type, and the first flow conservation constraint.&nbsp;</p><p><strong>Step 3:</strong> For each row i and column j, starting from the second row and column, do the following:&nbsp;</p><ul><li class="CertTheme__listItem pt-spacing10">For each edge e connecting vertex i to vertex k, and for each commodity type c and flow conservation constraint f, calculate the minimum cost and maximum flow for the edge.&nbsp;</li><li class="CertTheme__listItem pt-spacing10">The value in the table at i, j, c, f is the minimum of the following two values:&nbsp;<ul><li class="CertTheme__listItem pt-spacing10">The value in the table at i, j-1, c, f plus the minimum cost and maximum flow for the edge&nbsp;</li><li class="CertTheme__listItem pt-spacing10">The value in the table at k, j, c, f plus the minimum cost and maximum flow for the edge&nbsp;</li></ul></li><li class="CertTheme__listItem pt-spacing10">The minimum cost and maximum flow for the entire graph is the value in the table at the last row and column for each commodity type and flow conservation constraint.&nbsp;</li></ul><p>This algorithm has a time complexity of O(V E C F) for each insertion, as the table needs to be updated for each vertex, edge, commodity type, and flow conservation constraint in the graph. The space complexity is O(V E C F) for the table.&nbsp;</p></div></div></div></div><div class="rounded-xl mb-spacing24 last:mb-0 outline duration-300 transition ease-in-out outline-1 outline-neutral-200 hover:outline-neutral-400 hover:shadow-neutralShadow hidden"><div class="cursor-pointer items-center justify-between p-4 transition-all duration-500 undefined bg-white p-spacing16 pl-spacing24 flex gap-spacing8 rounded-xl"><div class="flex text-sm font-semibold items-center overflow-x-auto"><h3 class="text-neutral-800 font-bold text-sm leading-5.5 -indent-0 pl-5 overflow-hidden line-clamp-2">21. How do you use dynamic programming to solve a problem involving the Min Cost Max Flow problem with multiple flow conservation constraints?</h3></div><div class="md:w-5 md:h-5 w-6 h-6 ml-spacing8 flex items-center transition-all duration-300"><i class="icon-chevron-up-filled inline-block transition-transform duration-300 text-xl rotate-180 text-primary-main"></i></div></div><div class="overflow-hidden p-0 transition-all duration-500 ease-in-out rounded-b-xl" style="max-height:0px"><div><div class="p-spacing24 bg-white border-t border-neutral-200 faq-editor-content last:rounded-b-xl"><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>To solve a problem involving the Min Cost Max Flow problem with multiple flow conservation constraints using dynamic programming, we can use the following steps:</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><b><strong class="CertTheme__textBold">Step 1: </strong></b><span>Create a three-dimensional table, with the first dimension representing the vertices in the graph, the second dimension representing the flow values, and the third dimension representing the flow conservation constraints.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><b><strong class="CertTheme__textBold">Step 2: </strong></b><span>Initialize the first row and first column of the table to reflect the minimum cost and maximum flow for an empty graph and the first flow conservation constraint.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><b><strong class="CertTheme__textBold">Step 3: </strong></b><span>For each row i and column j, starting from the second row and column, do the following:</span></p><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem pt-spacing10"><span>For each edge e connecting vertex i to vertex k, and for each flow conservation constraint f, calculate the minimum cost and maximum flow for the edge.</span></li><li value="2" class="CertTheme__listItem pt-spacing10"><span>The value in the table at i, j, f is the minimum of the following two values:</span></li><li value="3" class="CertTheme__listItem pt-spacing10"><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem pt-spacing10"><span>The value in the table at i, j-1, f plus the minimum cost and maximum flow for the edge</span></li><li value="2" class="CertTheme__listItem pt-spacing10"><span>The value in the table at k, j, f plus the minimum cost and maximum flow for the edge</span></li></ul></li><li value="3" class="CertTheme__listItem pt-spacing10"><span>The minimum cost and maximum flow for the entire graph is the value in the table at the last row and column for each flow conservation constraint.</span></li></ul><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>This algorithm has a time complexity of O(V E F) for each insertion, as the table needs to be updated for each vertex, edge, and flow conservation constraint in the graph. The space complexity is O(V E F) for the table.</span></p></div></div></div></div><div class="relative"><div class="mt-spacing20 z-10 relative text-center flex justify-center mt-0"><button class="flex items-center gap-x-spacing8 py-spacing4"><span class="text-sm underline font-semibold text-mono-black">View all questions</span><i class="icon-chevron-down-double text-xl leading-5 text-neutral-800"></i></button></div><div class="absolute bottom-0 block h-32 w-full bg-gradient-to-t from-subdued/100 from-30% md:from-40%"></div></div></div></div></div></div></div></div></div></div></div></section></div></div><div class="sticky top-0 self-start max-h-screen overflow-y-auto w-full"><div class="w-full overflow-hidden pt-spacing32"><div class="px-spacing16 py-spacing20 rounded-xl border border-neutral-200 bg-white"><div class=""><h5 class="text-lg leading-6 text-mono-black font-bold">Want to Know More?</h5></div><form novalidate="" class="pt-spacing20 w-full"><div class="mb-spacing12"><div class=" relative  w-full  group h-11 flex direction-row justify-between rounded-lg border-none
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          text-neutral-500 peer-placeholder-shown:text-sm peer-placeholder-shown:text-neutral-500 peer-placeholder-shown:top-3 peer-focus:text-neutral-500 peer-placeholder-shown:leading-5 peer-placeholder-shown:left-24">Phone Number<span class="text-red-500 ml-spacing4 absolute pt-0.8">*</span></label></div></div></div><div class="max-w-61 !w-auto pt-spacing4 ml-3.5 md:mr-0 mr-4.25 bg-white absolute z-99 h-68 customized-scrollbar overflow-y-scroll border-1 text-xs border-neutral-400 rounded-lg hidden !ml-0"><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><g fill="#D80027"><path d="M0 0h513v38H0zM0 76h513v38H0zM0 152h513v38H0zM0 228h513v38H0zM0 304h513v38H0z"></path></g><path fill="#2E52B2" d="M0 0h256.5v190H0z"></path><g fill="white"><path d="M47.8 141.9l-4-12.8-4.3 12.8H26.3l10.7 7.7-4 12.8 10.8-7.9 10.7 7.9-4.2-12.8 10.9-7.7zM104.2 141.9l-4.1-12.8-4.2 12.8H82.7l10.7 7.7-4.1 12.8 10.8-7.9 10.7 7.9-4-12.8 10.8-7.7zM160.6 141.9l-4.2-12.8-4 12.8h-13.5l10.9 7.7-4.2 12.8 10.8-7.9 10.9 7.9-4.2-12.8 10.8-7.7zM216.9 141.9l-4.1-12.8-4.2 12.8h-13.2l10.7 7.7-4 12.8 10.7-7.9 10.8 7.9-4.2-12.8 10.9-7.7zM100.1 78.3l-4.2 12.8H82.7L93.4 99l-4.1 12.6 10.8-7.8 10.7 7.8-4-12.6 10.8-7.9h-13.4zM43.8 78.3l-4.3 12.8H26.3L37 99l-4 12.6 10.8-7.8 10.7 7.8L50.3 99l10.9-7.9H47.8zM156.4 78.3l-4 12.8h-13.5l10.9 7.9-4.2 12.6 10.8-7.8 10.9 7.8-4.2-12.6 10.8-7.9h-13.3zM212.8 78.3l-4.2 12.8h-13.2l10.7 7.9-4 12.6 10.7-7.8 10.8 7.8-4.2-12.6 10.9-7.9h-13.4zM43.8 27.7l-4.3 12.6H26.3L37 48.2l-4 12.7L43.8 53l10.7 7.9-4.2-12.7 10.9-7.9H47.8zM100.1 27.7l-4.2 12.6H82.7l10.7 7.9-4.1 12.7 10.8-7.9 10.7 7.9-4-12.7 10.8-7.9h-13.4zM156.4 27.7l-4 12.6h-13.5l10.9 7.9-4.2 12.7 10.8-7.9 10.9 7.9-4.2-12.7 10.8-7.9h-13.3zM212.8 27.7l-4.2 12.6h-13.2l10.7 7.9-4 12.7 10.7-7.9 10.8 7.9-4.2-12.7 10.9-7.9h-13.4z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">United States +1</div></div></div><div class="bg-mono-black/8 pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#181A93" d="M17.3 0h478.4v342H17.3V0z"></path><path fill="#FFA44A" d="M0 0h513v114H0V0z"></path><path fill="#1A9F0B" d="M0 228h513v114H0V228z"></path><path fill="white" d="M0 114h513v114H0V114z"></path><circle fill="white" cx="256.5" cy="171" r="34.2"></circle><path fill="#181A93" d="M256.5 216.6c-25.1 0-45.6-20.5-45.6-45.6s20.5-45.6 45.6-45.6 45.6 20.5 45.6 45.6-20.5 45.6-45.6 45.6zm0-11.4c18.2 0 34.2-16 34.2-34.2s-15.9-34.2-34.2-34.2-34.2 16-34.2 34.2 16 34.2 34.2 34.2z"></path><circle fill="#181A93" cx="256.5" cy="171" r="22.8"></circle></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">India +91</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="white" d="M0 0h512v341.3H0z"></path><g fill="#D80027"><path d="M0 0h142v341.3H0zM370 0h142v341.3H370zM306.5 206l50.4-25.2-25.2-12.6V143l-50.4 25.2 25.2-50.4h-25.2L256.1 80l-25.2 37.8h-25.2l25.2 50.4-50.4-25.2v25.2l-25.2 12.6 50.4 25.2-12.6 25.2h50.4V269h25.2v-37.8h50.4z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Canada +1</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#0052B4" d="M0 0h513v342H0z"></path><g fill="white"><path d="M222.2 170.7c.3-.3.5-.6.8-.9-.2.3-.5.6-.8.9zM188 212.6l11 22.9 24.7-5.7-11 22.8 19.9 15.8-24.8 5.6.1 25.4-19.9-15.9-19.8 15.9.1-25.4-24.8-5.6 19.9-15.8-11.1-22.8 24.8 5.7zM385.9 241.1l5.2 10.9 11.8-2.7-5.3 10.9 9.5 7.5-11.8 2.6v12.2l-9.4-7.6-9.5 7.6.1-12.2-11.8-2.6 9.5-7.5-5.3-10.9 11.8 2.7zM337.3 125.1l5.2 10.9 11.8-2.7-5.3 10.9 9.5 7.5-11.8 2.7v12.1l-9.4-7.6-9.5 7.6.1-12.1-11.9-2.7 9.5-7.5-5.3-10.9L332 136zM385.9 58.9l5.2 10.9 11.8-2.7-5.3 10.9 9.5 7.5-11.8 2.7v12.1l-9.4-7.6-9.5 7.6.1-12.1-11.8-2.7 9.5-7.5-5.3-10.9 11.8 2.7zM428.4 108.6l5.2 10.9 11.8-2.7-5.3 10.9 9.5 7.5-11.8 2.6V150l-9.4-7.6-9.5 7.6v-12.2l-11.8-2.6 9.5-7.5-5.3-10.9 11.8 2.7zM398 166.5l4.1 12.7h13.3l-10.8 7.8 4.2 12.7-10.8-7.9-10.8 7.9 4.1-12.7-10.7-7.8h13.3z"></path><path d="M254.8 0v30.6l-45.1 25.1h45.1V115h-59.1l59.1 32.8v22.9h-26.7l-73.5-40.9v40.9H99v-48.6l-87.4 48.6H-1.2v-30.6L44 115H-1.2V55.7h59.1L-1.2 22.8V0h26.7L99 40.8V0h55.6v48.6L242.1 0z"></path></g><path fill="#D80027" d="M142.8 0h-32v69.3h-112v32h112v69.4h32v-69.4h112v-32h-112z"></path><path fill="#0052B4" d="M154.6 115l100.2 55.7v-15.8L183 115z"></path><path fill="white" d="M154.6 115l100.2 55.7v-15.8L183 115z"></path><g fill="#D80027"><path d="M154.6 115l100.2 55.7v-15.8L183 115zM70.7 115l-71.9 39.9v15.8L99 115z"></path></g><path fill="#0052B4" d="M99 55.7L-1.2 0v15.7l71.9 40z"></path><path fill="white" d="M99 55.7L-1.2 0v15.7l71.9 40z"></path><g fill="#D80027"><path d="M99 55.7L-1.2 0v15.7l71.9 40zM183 55.7l71.8-40V0L154.6 55.7z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Australia +61</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#D80027" d="M0 85.337h512V256H0z"></path><g fill="white"><path d="M83.478 170.666c0-24.865 17.476-45.637 40.812-50.734a52.059 52.059 0 00-11.13-1.208c-28.688 0-51.942 23.254-51.942 51.941s23.255 51.942 51.942 51.942c3.822 0 7.543-.425 11.13-1.208-23.336-5.095-40.812-25.867-40.812-50.733zM150.261 122.435l3.684 11.337h11.921l-9.645 7.007 3.684 11.337-9.644-7.006-9.645 7.006 3.685-11.337-9.645-7.007h11.921z"></path><path d="M121.344 144.696l3.683 11.337h11.921l-9.645 7.007 3.684 11.337-9.643-7.006-9.645 7.006 3.685-11.337-9.645-7.007h11.921zM179.178 144.696l3.684 11.337h11.921l-9.645 7.007 3.684 11.337-9.644-7.006-9.644 7.006 3.685-11.337-9.645-7.007h11.921zM168.047 178.087l3.684 11.337h11.921l-9.644 7.007 3.684 11.337-9.645-7.006-9.643 7.006 3.684-11.337-9.644-7.007h11.92zM132.474 178.087l3.683 11.337h11.921l-9.644 7.007 3.684 11.337-9.644-7.006-9.644 7.006 3.684-11.337-9.644-7.007h11.92z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Singapore +65</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.334h512v341.337H0z"></path><g fill="#D80027"><path d="M425.301 233.745l3.388 10.428h10.963l-8.87 6.444 3.388 10.427-8.869-6.444-8.871 6.444 3.388-10.427-8.87-6.444h10.963zM386.107 308.817l5.083 15.642h16.445l-13.305 9.667 5.082 15.64-13.305-9.667-13.305 9.667 5.083-15.64-13.305-9.667h16.445zM387.588 185.971l4.236 13.036h13.704l-11.088 8.054 4.235 13.034-11.087-8.056-11.088 8.056 4.235-13.034-11.087-8.054h13.704zM349.876 233.291l5.082 15.641h16.446l-13.306 9.666 5.084 15.641-13.306-9.666-13.305 9.666 5.082-15.641-13.305-9.666h16.445z"></path></g><path fill="white" d="M256.003 85.329v30.564l-45.178 25.088h45.178v59.359H196.89l59.113 32.846v22.806h-26.69l-73.484-40.826v40.826h-55.652v-48.573l-87.429 48.573H.003v-30.553l45.168-25.099H.003v-59.359h59.103L.003 108.147V85.329h26.68l73.494 40.838V85.329h55.652v48.573l87.43-48.573z"></path><path fill="#D80027" d="M144 85.33h-32v69.334H0v32h112v69.334h32v-69.334h112v-32H144z"></path><path fill="#0052B4" d="M155.826 200.344L256 255.998v-15.739l-71.847-39.915z"></path><path fill="white" d="M155.826 200.344L256 255.998v-15.739l-71.847-39.915z"></path><g fill="#D80027"><path d="M155.826 200.344L256 255.998v-15.739l-71.847-39.915zM71.846 200.344L0 240.259v15.739l100.174-55.654z"></path></g><path fill="#0052B4" d="M100.174 140.983L0 85.33v15.738l71.847 39.915z"></path><path fill="white" d="M100.174 140.983L0 85.33v15.738l71.847 39.915z"></path><g fill="#D80027"><path d="M100.174 140.983L0 85.33v15.738l71.847 39.915zM184.154 140.983L256 101.068V85.33l-100.174 55.653z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">New Zealand +64</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.331h512v341.337H0z"></path><path d="M0 85.331h512v113.775H0z"></path><path fill="#FFDA44" d="M0 312.882h512v113.775H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Germany +49</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><path fill="#6DA544" d="M0 0h513v114H0z"></path><path d="M0 228h513v114H0z"></path><path fill="#dd0d12" d="M0 0h171v342H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">United Arab Emirates +971</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#D80027" d="M0 0h513v342H0z"></path><g fill="white"><path d="M274.2 119.8c-5.1 21.1-14.1 17.1-18.5 35.5-26.1-6.3-42.1-32.5-35.9-58.6 6.3-26.1 32.5-42.1 58.5-35.9-8.7 36.9.5 40.1-4.1 59zM206.6 135.4c18.5 11.3 11.9 18.7 28 28.6-14 22.9-43.9 30-66.8 16s-30-43.9-16-66.8c32.3 19.8 38.2 12.1 54.8 22.2zM200.6 204.6c16.5-14.1 21.4-5.5 35.8-17.8 17.4 20.4 15 51-5.4 68.4-20.4 17.4-51 15-68.4-5.4 28.7-24.6 23.2-32.6 38-45.2zM264.5 231.7c-8.3-20.1 1.4-22.1-5.9-39.6 24.8-10.3 53.2 1.5 63.4 26.3 10.3 24.8-1.5 53.2-26.3 63.4-14.5-35-23.8-32.2-31.2-50.1zM310 179.3c-21.6 1.7-20.6-8.1-39.5-6.6-2.1-26.7 17.9-50.1 44.6-52.2 26.7-2.1 50.1 17.9 52.2 44.6-37.7 2.9-37.9 12.7-57.3 14.2z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Hong Kong +852</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.331h512v341.326H0z"></path><path fill="#6DA544" d="M0 85.331h170.663v341.337H0z"></path><path fill="#FF9811" d="M341.337 85.331H512v341.337H341.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Ireland +353</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#DB3E00" d="M0 0h513v342H0z"></path><path fill="#479900" d="M331 0h182v342H331z"></path><path d="M0 0h181.8v342H0z"></path><path fill="white" d="M256 126.7c-19.4 0-35.2 15.8-35.2 35.2v52.8h70.4v-52.8c0-19.5-15.8-35.2-35.2-35.2z"></path><path fill="white" d="M256 84.3c-47.7 0-86.4 38.7-86.4 86.4S208.3 257 256 257s86.4-38.7 86.4-86.4-38.7-86.3-86.4-86.3zm0 157.7c-39.4 0-71.4-32-71.4-71.4 0-39.4 32-71.4 71.4-71.4 39.4 0 71.4 32 71.4 71.4 0 39.5-32 71.4-71.4 71.4z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Afghanistan +93</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#0052B4" d="M0 0h513v342H0z"></path><path fill="#FFDA44" d="M513 210.9H202.2V342h-79.8V210.9H0V131.1h122.4V0h79.8v131.1H513v61.2z"></path><path fill="#D80027" d="M513 149.7v42.6H183.7V342H141V192.3H0v-42.6h141V0h42.7v149.7z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Aland Islands +358</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 90 60"><path fill="#ED2024" d="M0 0h90v60H0z"></path><path fill="#212121" d="M32.5 12.2v16l7.1 2.5-5 4.9 2.4 3 5.3-5.5 1.2 2.3-3 4.9 3.6 5.6-1.8 2.6 2.8 3.6 2.7-3.7-1.5-2.6 3-5.8-2.7-4.6 1.2-2.3 5.2 5.5 2.5-2.9-5.2-5.1 7.2-2.6V12.2l-5.2 1.9-.1 3.8-3.3.3v-2.6l1.7-2.3 5.6-2.2-2.3-.4 1.4-1.2.9.4-.8-1.4L54 9l-1-1.1L47.5 9l1.4 1.1-3.8 4.9-3.8-4.8 1.3-1.1-5-1.2L36.2 9l-1.5-.4-.8 1.4.9-.6 1.6 1.1-2.3.5 5.5 2 1.6 2.3v2.9l-3.3-.3v-3.6z"></path><g fill="#212121"><path d="M26.2 25h6.4v2.5h-6.4zM26.2 20.9h6.4v2.7h-6.4zM26.2 16.7h6.4v2.6h-6.4zM26.2 12.7h6.4v2.5h-6.4z"></path></g><g fill="#212121"><path d="M57.4 25h6.4v2.5h-6.4zM57.4 20.9h6.4v2.7h-6.4zM57.4 16.7h6.4v2.6h-6.4zM57.4 12.7h6.4v2.5h-6.4z"></path></g><path fill="#212121" d="M53.4 36.1h6.4V38h-6.4zM30.2 36.1h6.4V38h-6.4z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Albania +355</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#41662E" d="M0 0h512v341.3H0z"></path><path fill="white" d="M256 0h256v341.3H256z"></path><g fill="#D80027"><path d="M341.5 105.3l-29.4 40.4-47.5-15.4 29.4 40.4-29.4 40.4 47.5-15.4 29.4 40.4v-50l47.5-15.5-47.5-15.4z"></path><path d="M309.9 276.7c-58.5 0-106-47.5-106-106s47.5-106 106-106c18.3 0 35.4 4.6 50.4 12.7-23.5-23-55.7-37.2-91.2-37.2-72 0-130.4 58.4-130.4 130.4S197.1 301 269.1 301c35.5 0 67.7-14.2 91.2-37.2-14.9 8.2-32.1 12.9-50.4 12.9z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Algeria +213</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#0052B4" d="M0 0h513v342H0z"></path><path fill="#D80027" d="M513 33L95.3 171 513 310.76v30.57L0 171 513 0z"></path><path fill="white" d="M513 287.18v24.58L81.72 171 513 30v24.16"></path><path fill="#A2001D" d="M476.98 140.21l-21.89 10.68-3.18-15.32 31.19-29.77s-9.42-40.65-13.75-44.98l-112.32 55.82-6.84 36.76-31.9 28.59-.4 34.2 34.29-22.76 67.23-2.66-1.51 38.11h22.23l11.9-44.64 31.55-24.61-6.6-19.42z"></path><path fill="#EFC100" stroke="#231F20" stroke-miterlimit="10" d="M317.89 238.41l-22.24-11.11 22.24-11.11h144.46v22.22z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">AmericanSamoa +1684</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#FFDA44" d="M0 0h513v342H0z"></path><path fill="#0052B4" d="M0 0h171v342H0z"></path><path fill="#D80027" d="M342 0h171v342H342zM198.92 113.58H256v64.8h-57.08zM309.16 228.68L256 243.18v-64.8h57.08z"></path><path fill="#BC8B00" d="M182.24 95.92v92.2c0 34.32 27.26 54.17 48.63 64.46-.8 1.37 25.13 8.26 25.13 8.26s25.93-6.9 25.13-8.26c21.38-10.29 48.63-30.14 48.63-64.46v-92.2H182.24zm129.86 92.2c0 16.88-10 29.43-32.76 43.9-8.62 5.48-17.54 9.03-23.34 11.01-5.8-1.98-14.72-5.53-23.34-11.01-22.76-14.47-32.76-28.02-32.76-43.9v-74.54h112.2v74.54z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Andorra +376</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path d="M0 171h513v171H0z"></path><path fill="#D80027" d="M0 0h513v171H0z"></path><g fill="#FFDA44"><path d="M197.01 139.81c-9.32 12.37-9 27.81 3.37 37.12 0 0 162.62 122.13 164.64 123.93 2.02 1.8 6.3 2.38 11-3.27 4.46-5.36 3.31-9.78 1.04-11.63S197.01 139.81 197.01 139.81zM264.42 79.12l11.72 24.03 26.45 3.96-19.23 18.58 4.4 26.38-23.61-12.55-23.73 12.33 4.64-26.33L226 106.77l26.47-3.73z"></path><path d="M268.67 39.2l-3.2 22.04c51.81 3.9 92.64 47.18 92.64 99.99 0 55.38-44.9 100.28-100.28 100.28-40.82 0-75.94-24.39-91.59-59.4l-18.4 13.11c19.96 40.59 61.71 68.52 110 68.52 67.66 0 122.51-54.85 122.51-122.51-.01-64.01-49.1-116.54-111.68-122.03z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Angola +244</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#0052B4" d="M0 0h513v342H0z"></path><path fill="white" d="M454.8 265.38c7.94-10.93 13.24-24.27 13.24-40.42V104.89a59.754 59.754 0 01-36.02 12.01c-19.64 0-37.07-9.43-48.03-24.01-10.95 14.58-28.39 24.01-48.03 24.01-13.52 0-25.99-4.47-36.02-12v120.06c0 16.16 5.3 29.5 13.24 40.42H454.8z"></path><path fill="#8DCCFF" d="M310.23 260.98C332.65 296.96 384 309 384 309s51.35-12.04 73.77-48.02H310.23z"></path><path fill="#D87B00" d="M396.66 172.21c.32 1.42 8.72 10.17 17.56 20.15 1.39 1.57-8.74 12.63-6.91 12.59 4.75-.12 19.27-17.26 19.34 6.65.05 15.94-30 27.51-30 27.51h17.47l.65 14.96s4.97-13.34 7.59-16.57c8.1-9.97 20.18-30.07 34.59-27.1 14.41 2.97-13.66-13.92-13.66-13.92s-5.2-15.19-16.63-16.97c-10.06-1.57-14.29-2.51-26.64-7.3-1.68-.65-3.88-2.32-3.36 0z"></path><path fill="#D87B00" d="M359.69 198.69c1.07-.99 4.46-12.63 8.69-25.28.67-1.99 15.31 1.27 14.35-.3-2.47-4.06-24.58-8.08-3.9-20.08 13.79-8 38.82 12.27 38.82 12.27l-8.72-15.14 12.64-8.03s-14.05 2.35-18.14 1.69c-12.68-2.04-36.13-2.48-40.75-16.45-4.62-13.97-5.25 18.79-5.25 18.79s-10.56 12.08-6.4 22.88c3.66 9.5 4.96 13.64 6.97 26.73.29 1.79-.06 4.53 1.69 2.92z"></path><path fill="#D87B00" d="M395.67 219.87c-1.39-.43-13.16 2.49-26.22 5.18-2.06.42-6.59-13.88-7.47-12.26-2.27 4.17 5.36 25.31-15.41 13.45-13.84-7.91-8.89-39.73-8.89-39.73l-8.71 15.14-13.29-6.9s9.09 10.96 10.57 14.84c4.6 11.99 16 32.49 6.24 43.49-9.76 11.01 18.88-4.9 18.88-4.9s15.76 3.07 23-5.96c6.38-7.94 9.3-11.14 19.61-19.45 1.43-1.12 3.97-2.19 1.69-2.9z"></path><path fill="white" d="M256.5 0h-23.1L160 48.9V0H96v48.9L22.6 0H0v22.7l46.1 30.7H0v64h46.1L0 148.1V171h22.6L96 121.8V171h64v-49.2l73.4 49.2h23.1v-22.9l-46.6-30.7h46.6v-64h-46.6l46.6-30.7z"></path><path fill="#D80027" d="M144 0h-32v69.4H0v32h112V171h32v-69.6h112.5v-32H144z"></path><path fill="#D80027" d="M0 171v-11.3l62.5-42.3h22.6L7.3 171zM7.3.1l77.8 53.2H62.5L0 11.1V.1zM256.5.1v11l-63 42.3h-22.6L248.7.1zM248.7 171l-77.8-53.6h22.6l63 42.3V171z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Anguilla +1264</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 744 496"><path fill="#3A7DCE" d="M0 0h744v496H0V0z"></path><path fill="white" d="M120 125l90 63 54-14 23-81 61-36 92 14 105 55 6 90 34 12v92l-65 115-78 24-72-17 18-30-8-32-10 9-162-25-49-85 20-46-49-62z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Antarctica +672</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path d="M0 0h513v342H0z"></path><path fill="#186DD2" d="M88.8 136.5c-2.2 12.9-3.4 26.2-3.4 39.8 0 13.6 1.2 27 3.4 39.8L256 228.3l167.2-12.1c2.2-12.9 3.4-26.2 3.4-39.8s-1.2-27-3.4-39.8"></path><path fill="white" d="M423.2 219H88.8c15.8 69.8 84.7 122.3 167.2 122.3S407.4 288.8 423.2 219z"></path><path fill="#FFDA44" d="M365.9 136.5H146.1l44.9-21.1-23.9-43.5 48.8 9.4L222 32l34 36.2L290 32l6.1 49.3 48.8-9.4-23.9 43.5z"></path><g fill="#C32500"><path d="M256.5 342L0 0v342z"></path><path d="M513 342V0L256 342z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Antigua and Barbuda +1268</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h512v342H0z"></path><path fill="#338AF3" d="M0 0h512v114H0zM0 228h512v114H0z"></path><circle fill="#FFDA44" stroke="#d6ab00" stroke-width="5" cx="256.5" cy="171" r="40"></circle></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Argentina +54</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#0052B4" d="M0 0h513v342H0z"></path><path fill="#D80027" d="M0 0h513v114H0z"></path><path fill="#FF9811" d="M0 228h513v114H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Armenia +374</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 363 242"><path fill="#338AF3" d="M0 0h363v242H0z"></path><path fill="white" d="M57 96.9L14.7 78.2 57 59.6l18.6-42.2 18.6 42.2 42.3 18.6-42.3 18.7-18.6 42.2z"></path><path fill="#D80027" d="M75.6 40.6l11.5 26.1 26.1 11.5-26.1 11.5-11.5 26.1-11.5-26.1L38 78.2l26.1-11.5z"></path><g fill="#FFDA44"><path d="M0 152.2h363v15.7H0zM0 183.6h363v15.7H0z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Aruba +297</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#0052B4" d="M0 0h513v342H0z"></path><path fill="white" d="M440.1 181.1c-.1 39.2-6.4 81.4-57.4 101.5-51.1-20.1-57.3-62.3-57.4-101.5h114.8z"></path><path fill="#29DBFF" d="M439.6 197.7c-2.8 34.9-12.4 67.4-57 85-44.4-17.6-54.5-51.2-56.9-84.9"></path><path fill="white" d="M437.8 214.1c-3.2 24.3-16.7 53.5-55.1 68.6-38.4-15.1-50.5-42.5-55.1-68.4"></path><path fill="#29DBFF" d="M434.2 230.3c-5.7 17.7-19.3 39.4-51.3 52.8-32-12.6-45.2-33.8-51.4-53"></path><path fill="white" d="M426.7 246.9c-6.5 11.3-17.7 25.4-44 35.9-27.5-11.5-37.4-25.3-44-36.1"></path><path fill="#29DBFF" d="M412.4 265.1c-8.1 7.2-12 11.2-29.6 17.9-20.1-7.9-22.6-11.6-29.2-17.5"></path><path fill="#5CC85C" d="M383.3 231.6c-.2-.2-27.9 35.7-27.9 35.7-1.8-1.3-10-9.5-13.3-15l41.3-50.1 40.2 49.7c-3.9 6.5-11.4 13.6-13.2 15M382.6 85.3l-26.5 45h53z"></path><ellipse transform="rotate(-82.3 291.431 225.686)" fill="#F7A226" cx="291.4" cy="225.7" rx="48.7" ry="15.7"></ellipse><ellipse transform="rotate(-68.099 303.087 164.67)" fill="#DDC7AB" cx="303.1" cy="164.7" rx="11.7" ry="7.2"></ellipse><ellipse transform="rotate(-81.738 291.697 271.697)" fill="#DDC7AB" cx="291.7" cy="271.7" rx="11.4" ry="3.3"></ellipse><ellipse transform="matrix(.9986 -.05353 .05353 .9986 -13.992 16.424)" fill="#DDC7AB" cx="299.6" cy="269.4" rx="3.3" ry="11"></ellipse><ellipse transform="rotate(-21.518 314.54 201.06)" fill="#DDC7AB" cx="314.5" cy="201.1" rx="4.1" ry="13.7"></ellipse><ellipse transform="rotate(-21.518 317.511 178.077)" fill="#DDC7AB" cx="317.5" cy="178.1" rx="13.7" ry="4.1"></ellipse><ellipse transform="rotate(-7.7 473.781 225.857)" fill="#F7A226" cx="473.6" cy="225.9" rx="15.7" ry="48.7"></ellipse><ellipse transform="rotate(-21.901 462.057 164.866)" fill="#DDC7AB" cx="462" cy="164.9" rx="7.2" ry="11.7"></ellipse><ellipse transform="rotate(-8.27 473.27 271.908)" fill="#DDC7AB" cx="473.4" cy="271.9" rx="3.3" ry="11.4"></ellipse><ellipse transform="matrix(.05353 -.9986 .9986 .05353 171.34 719.998)" fill="#DDC7AB" cx="465.5" cy="269.6" rx="11" ry="3.3"></ellipse><ellipse transform="rotate(-68.482 450.552 201.247)" fill="#DDC7AB" cx="450.6" cy="201.2" rx="13.7" ry="4.1"></ellipse><ellipse transform="rotate(-68.482 447.58 178.265)" fill="#DDC7AB" cx="447.6" cy="178.3" rx="4.1" ry="13.7"></ellipse><path fill="#B0C6CC" d="M373.3 130.3L356.1 155l17.8 26.1H396l4.7-25.4-5.4-25.4z"></path><path fill="white" d="M256 0v117.4h-46.1l46.1 30.7v22.6h-22.6L160 121.8v48.9H96v-48.9l-73.4 48.9H0v-22.6l46.1-30.7H0v-64h46.1L0 22.7V0h22.6L96 48.9V0h64v48.9L233.4 0z"></path><path fill="#D80027" d="M144 0h-32v69.4H0v32h112v69.3h32v-69.3h112v-32H144z"></path><path fill="#2E52B2" d="M256 22.7v30.7h-46.1z"></path><g><path fill="#D80027" d="M0 170.7v-11l62.5-42.3h22.6L7.3 170.7z"></path></g><path fill="#D80027" d="M7.3.1l77.8 53.2H62.5L0 11.1V.1zM256 .1v11l-62.5 42.3h-22.6L248.7.1zM248.7 170.7l-77.8-53.3h22.6l62.5 42.3v11z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Ascension Island +247</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 114h513v114H0z"></path><path fill="#D80027" d="M0 0h513v114H0zM0 228h513v114H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Austria +43</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#D80027" d="M0 0h513v342H0z"></path><path fill="#338AF3" d="M0 0h513v114H0z"></path><path fill="#6DA544" d="M0 228h513v114H0z"></path><g fill="white"><path d="M265.6 212.6c-23 0-41.6-18.6-41.6-41.6s18.6-41.6 41.6-41.6c7.2 0 13.9 1.8 19.8 5-9.2-9-21.9-14.6-35.8-14.6-28.3 0-51.2 22.9-51.2 51.2s22.9 51.2 51.2 51.2c13.9 0 26.6-5.6 35.8-14.6-5.9 3.2-12.6 5-19.8 5z"></path><path d="M297.6 142.2l5.5 15.5 14.9-7.1-7.1 14.9 15.5 5.5-15.5 5.5 7.1 14.9-14.9-7.1-5.5 15.5-5.5-15.5-14.9 7.1 7.1-14.9-15.5-5.5 15.5-5.5-7.1-14.9 14.9 7.1z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Azerbaijan +994</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.337h512v341.326H0z"></path><g fill="#338AF3"><path d="M0 85.337h512v113.775H0zM0 312.888h512v113.775H0z"></path></g><path d="M256 256.006L0 426.668V85.331z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Bahamas +1242</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M2.216 86.076H512v339.848H2.216z"></path><path fill="white" d="M209.455 154.969l-50.236 25.267 50.236 25.257-50.236 25.267 50.236 25.257-50.236 25.266 50.236 25.257-50.236 25.268 50.236 25.257-50.236 25.267 50.236 25.268-36.45 18.33H0V86.07h172.939l36.516 18.364-50.236 25.267z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Bahrain +973</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#496E2D" d="M0 85.331h512v341.337H0z"></path><circle fill="#F40B32" cx="218.902" cy="255.994" r="115"></circle></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Bangladesh +880</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.33"><path fill="#FFDA44" d="M0 0h512v341.34H0z"></path><g fill="#0052B4"><path d="M0 0h170.66v341.34H0zM341.34 0H512v341.34H341.34z"></path></g><path d="M325.74 101.02l-31.97 12.4c-.68 1.35-5.79 7.54-8.18 53.06h-17.05v-60.42L256 78.68l-12.54 27v60.8H226.4c-2.39-45.53-7.8-52.48-8.47-53.84l-31.68-11.63c.15.31 15.4 31.34 15.4 78.01v12.54h41.81v71.07h25.08v-71.07h41.81v-12.54c0-24.13 4.17-44.02 7.68-56.46 3.82-13.57 7.7-21.49 7.74-21.57l-.03.03z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Barbados +1246</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#75AF2B" d="M.6.2H512v341H.6z"></path><path fill="#D32424" d="M0 230h512V.2H0"></path><path fill="white" d="M100.1 230V.2H0v340.9h511.4-411.3z"></path><path fill="#D32424" d="M51.6 218l-38-47.7 38-46.9 38 46.9zM51.6 113.4l-38-47.7 38-46.9 38 46.9zM51.6 322.6l-38-47.7 38-46.9 38 46.9z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Belarus +375</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.331h512v341.326H0z"></path><path d="M0 85.331h170.663v341.337H0z"></path><path fill="#D80027" d="M341.337 85.331H512v341.337H341.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Belgium +32</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#0052B4" d="M0 0h512v341.3H0z"></path><circle fill="white" cx="260.9" cy="170.9" r="118.9"></circle><circle fill="none" stroke="#6DA544" stroke-width="18" stroke-miterlimit="10" cx="261.9" cy="173.1" r="94.5"></circle><g stroke="black"><path fill="#0052B4" d="M261.9 151.5l-50.6 23.4v20c0 11.8 6.1 22.8 16.2 28.9L262 239l34.5-15.2c10-6.2 16.2-17.1 16.2-28.9v-20l-50.8-23.4z"></path><path fill="#FFDA44" d="M211.3 128.1h101.3v46.7H211.3z"></path></g><g fill="#BC0029"><path d="M0 0h512v35H0zM0 306h512v35H0z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Belize +501</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#6DA544" d="M0 85.337h512v341.326H0z"></path><path fill="#FFDA44" d="M196.641 85.337H512V256H196.641z"></path><path fill="#D80027" d="M196.641 256H512v170.663H196.641z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Benin +229</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.33"><path fill="#D80027" d="M0 0h512v341.34H0z"></path><path fill="#0052B4" d="M0 .1h256v170.6H0z"></path><path fill="white" d="M256 0h-22.6L160 48.9V0H96v48.9L22.6 0H0v22.7l46.1 30.7H0v64h46.1L0 148.1v22.6h22.6L96 121.8v48.9h64v-48.9l73.4 48.9H256v-22.6l-46.1-30.7H256v-64h-46.1L256 22.7z"></path><path fill="#D80027" d="M144 0h-32v69.4H0v32h112v69.3h32v-69.3h112v-32H144z"></path><path fill="#D80027" d="M0 170.7v-11l62.5-42.3h22.6L7.3 170.7zM7.3.1l77.8 53.2H62.5L0 11.1V.1zM256 .1v11l-62.5 42.3h-22.6L248.7.1zM248.7 170.7l-77.8-53.3h22.6l62.5 42.3v11z"></path><g transform="translate(13 5)"><path fill="white" d="M303.9 94.94v99.69c0 59.81 79.75 99.69 79.75 99.69s79.75-39.88 79.75-99.69V94.94H303.9z"></path><path fill="#2F8F22" d="M436.37 254.44H330.93c23.13 25.08 52.72 39.88 52.72 39.88s29.59-14.8 52.72-39.88z"></path><circle fill="#65B5D2" cx="383.65" cy="214.56" r="39.88"></circle><circle fill="#D80027" cx="343.77" cy="194.63" r="19.94"></circle><circle fill="#D80027" cx="423.52" cy="194.63" r="19.94"></circle><circle fill="#D80027" cx="383.65" cy="154.75" r="19.94"></circle></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Bermuda +1441</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#FF7415" d="M0 0h512v341.3H0z"></path><path fill="#FFDA44" d="M512 0H0v341.3"></path><path fill="none" stroke="white" stroke-width="42" stroke-miterlimit="10" d="M128.7 255.5s35 54 67.3 32.4c56.9-37.9-68.9-108.6-2.9-152.6 58.3-38.8 76.6 103.5 137.6 62.8 59-39.3-64.7-111.4-9.2-148.4 33.4-22.2 67.1 32.6 67.1 32.6"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Bhutan +975</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.337h512v341.326H0z"></path><path fill="#D80027" d="M0 85.337h512v113.775H0z"></path><path fill="#6DA544" d="M0 312.888h512v113.775H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Bolivia +591</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.334h512v341.337H0z"></path><path fill="#FFDA44" d="M99.905 85.329h341.333v341.334"></path><g fill="white"><path d="M36.561 100.645l14.843-10.807 14.867 10.794-4.979-15.302H41.525z"></path><path d="M88.332 103.632L82.649 86.16l-5.672 17.472-18.365.012 14.867 10.796-5.661 17.461 14.843-10.806 14.866 10.795-5.684-17.474 14.854-10.795z"></path><path d="M119.59 134.89l-5.684-17.474-5.673 17.474-18.365.011 14.867 10.795-5.661 17.462 14.844-10.807 14.866 10.796-5.685-17.474 14.856-10.794z"></path><path d="M150.846 166.146l-5.683-17.473-5.673 17.473-18.364.011 14.866 10.796-5.661 17.461 14.843-10.806 14.866 10.795-5.683-17.474 14.855-10.794z"></path><path d="M182.103 197.403l-5.683-17.474-5.672 17.474-18.366.011 14.866 10.795-5.66 17.462 14.843-10.807 14.866 10.796-5.684-17.473 14.855-10.795z"></path><path d="M213.359 228.659l-5.683-17.472-5.672 17.472-18.365.012 14.866 10.795-5.66 17.462 14.842-10.806 14.866 10.794-5.683-17.473 14.855-10.795z"></path><path d="M244.616 259.916l-5.683-17.473-5.672 17.473-18.366.012 14.867 10.795-5.661 17.462 14.844-10.807 14.866 10.794-5.685-17.472 14.855-10.794z"></path><path d="M275.872 291.173L270.19 273.7l-5.673 17.473-18.365.011 14.867 10.796-5.661 17.461 14.843-10.806 14.866 10.795-5.683-17.474 14.853-10.794z"></path><path d="M307.13 322.43l-5.683-17.474-5.674 17.474-18.364.011 14.866 10.795-5.661 17.462 14.844-10.807 14.866 10.796-5.684-17.474 14.855-10.794z"></path><path d="M338.386 353.686l-5.683-17.472-5.672 17.472-18.365.012 14.866 10.795-5.661 17.462 14.843-10.807 14.866 10.795-5.683-17.472 14.855-10.796z"></path><path d="M369.643 384.943l-5.683-17.473-5.672 17.473-18.366.012 14.866 10.794-5.66 17.463 14.843-10.807 14.866 10.795-5.684-17.473 14.855-10.795z"></path><path d="M395.216 398.727l-5.672 17.472-18.365.012 14.394 10.453h19.278l14.414-10.476-18.366.011z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Bosnia and Herzegovina +387</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><g fill="#338AF3"><path d="M0 322.783h512v103.88H0zM0 85.337h512v104.515H0z"></path></g><path d="M0 210.877h512v89.656H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Botswana +267</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#6DA544" d="M0 0h512v341.3H0z"></path><path fill="#FFDA44" d="M256 19.3l205.4 151.4L256 322 50.6 170.7z"></path><circle fill="white" cx="256" cy="170.7" r="86.5"></circle><g fill="#0052B4"><path d="M212.8 165.3c-15 0-29.5 2.3-43.2 6.5.6 47.2 39.1 85.3 86.4 85.3 29.3 0 55.2-14.6 70.8-36.9-26.7-33.4-67.9-54.9-114-54.9zM340.9 187.2c1-5.4 1.6-10.9 1.6-16.6 0-47.8-38.7-86.5-86.5-86.5-35.6 0-66.2 21.6-79.5 52.3 11.7-2.4 23.8-3.7 36.2-3.7 50.3.1 95.7 21 128.2 54.5z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Brazil +55</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0-.3h513V342H0V-.3z"></path><path fill="#0052B4" d="M462.9 198.1c-4 0-14-5-21-9-11-6-21-12-31.1-12s-20 6-31.1 12c-7 4-16 9-20 9s-14-5-20-9c-11-6-22-12-32.1-12-9 0-20 6-31.1 12-7 4-16 9-20 9s-13-5-20-9c-11-6-22-12-31.1-12-10 0-21 6-32.1 12-6 4-16 9-20 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249.1h-79.8s-.9-13.4-6-21.8c-6.2-10.4-13.9-28.1-1.4-36.7 15.9-10.9 33.7.8 48.2.8 11.8.1 26.9-14 45-.8 12.2 8.9 3.9 28.2-1.3 36.7-7 11.5-4.7 21.8-4.7 21.8z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">British Indian Ocean Territory +246</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.33"><path fill="#FFDA44" d="M0 0h512v341.33H0z"></path><path d="M0 193.74l512 127.19V214.26L0 97.08z"></path><path fill="white" d="M512 234.26v-86.67L0 20.41v86.67"></path><g fill="#D80027" stroke="#231F20" stroke-width="3" stroke-miterlimit="10"><path d="M306.4 134.01a50.28 50.28 0 016.07 24.02c0 21.55-13.51 39.94-32.52 47.19v-59.51c5.7-1.19 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hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#496E2D" d="M0 85.337h512v341.326H0z"></path><path fill="white" d="M0 85.337h512v113.775H0z"></path><path fill="#D80027" d="M0 312.888h512v113.775H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Bulgaria +359</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#6DA544" d="M0 0h512v341.3H0z"></path><path fill="#D80027" d="M0 0h512v170.7H0z"></path><path fill="#FFDA44" d="M256 66.9l25.8 79.3h83.3l-67.4 49 25.7 79.3-67.4-49-67.4 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r="100.2"></circle><g fill="#D80027"><path d="M251.6 93.3l10.1 17.5h20.2l-10.1 17.5 10.1 17.5h-20.2l-10.1 17.5-10.1-17.5h-20.2l10.1-17.5-10.1-17.5h20.2zM210.3 163.4l10.1 17.5h20.3l-10.1 17.5 10.1 17.5h-20.3l-10.1 17.5-10.1-17.5H180l10.1-17.5-10.1-17.5h20.2zM292.8 163.4l10.1 17.5h20.2L313 198.4l10.1 17.5h-20.2l-10.1 17.5-10.1-17.5h-20.2l10.1-17.5-10.1-17.5h20.2z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Burundi +257</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.337h512v341.326H0z"></path><g fill="#0052B4"><path d="M0 85.337h512v113.775H0zM0 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6.8-21.2-18-13h22.3zM23.8 162H46l6.8-21.1 6.9 21.1h22.2l-18 13.1 6.9 21.1-18-13-17.9 13 6.8-21.1zM72.2 310.9l6.8-21.1-18-13h22.3l6.8-21.2 6.9 21.2h22.2l-18 13 6.9 21.1-18-13zM248 208.8l-6.9 21.1h-22.2l18 13-6.9 21.2 18-13.1 18 13.1-6.9-21.2 18-13h-22.2zM210.7 91l-6.8 21.1h-22.2l17.9 13-6.8 21.2 17.9-13.1 18 13.1-6.9-21.2 18-13h-22.2zM277.1 162h-22.2l-6.9-21.1-6.9 21.1h-22.2l18 13.1-6.9 21.1 18-13 18 13-6.9-21.1zM228.7 310.9l-6.9-21.1 18-13h-22.2l-6.9-21.2-6.8 21.2h-22.2l17.9 13-6.8 21.1 17.9-13z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Cape Verde +238</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.334h512v341.337H0z"></path><circle fill="#6DA544" cx="384" cy="181.79" r="29.682"></circle><path fill="#D80027" d="M332.054 174.377h103.88v44.522h-103.88z"></path><path fill="#496E2D" d="M435.942 255.997v-.001.001z"></path><path fill="#FFDA44" d="M332.058 285.678v29.682h15.616c9.364 9.176 22.18 14.84 36.326 14.84 14.147 0 26.962-5.664 36.326-14.84h15.616v-29.682H332.058z"></path><path fill="#338AF3" d="M332.058 211.475v44.522c0 39.759 51.942 51.942 51.942 51.942s51.942-12.182 51.942-51.942v-44.522H332.058z"></path><g fill="#F3F3F3"><path d="M383.997 235.256c-12.985 0-12.985 11.873-25.97 11.873s-12.985-11.873-25.97-11.873v20.777c12.985 0 12.985 11.873 25.97 11.873s12.985-11.873 25.97-11.873c12.986 0 12.986 11.873 25.973 11.873 12.986 0 12.986-11.873 25.973-11.873v-20.777c-12.986 0-12.986 11.873-25.973 11.873-12.986-.001-12.986-11.873-25.973-11.873zM383.997 193.666c-12.985 0-12.985 11.873-25.97 11.873s-12.985-11.873-25.97-11.873v20.777c12.985 0 12.985 11.873 25.97 11.873s12.985-11.873 25.97-11.873c12.986 0 12.986 11.873 25.973 11.873 12.986 0 12.986-11.873 25.973-11.873v-20.777c-12.986 0-12.986 11.873-25.973 11.873-12.986 0-12.986-11.873-25.973-11.873z"></path></g><path fill="white" d="M256 85.334v22.617l-46.069 30.709H256v64h-46.069L256 233.38v22.617h-22.628L160 207.078v48.919H96v-48.919l-73.372 48.919H0V233.38l46.069-30.72H0v-64h46.069L0 107.951V85.334h22.628L96 134.241V85.334h64v48.907l73.372-48.907z"></path><g fill="#D80027"><path d="M144 85.329h-32v69.334H0v32h112v69.334h32v-69.334h112v-32H144z"></path><path d="M0 85.329v15.082l57.377 38.252H80zM256 85.329v15.082l-57.377 38.252H176z"></path><path d="M0 85.329v15.082l57.377 38.252H80zM256 85.329v15.082l-57.377 38.252H176zM0 255.997v-15.082l57.377-38.252H80zM256 255.997v-15.082l-57.377-38.252H176z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Cayman Islands +1345</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#D80027" d="M0 0h512v341.3H0z"></path><g fill="#6DA544"><path d="M0 170.7h211.5V256H0zM300.5 170.7H512V256H300.5z"></path></g><path fill="#0052B4" d="M0 0v85.3h211.5V0h89v85.3H512V0z"></path><g fill="white"><path d="M300.5 85.3H512v85.3H300.5zM0 85.3h211.5v85.3H0z"></path></g><g fill="#FFDA44"><path d="M300.5 341.3h-89V256H0v85.3h512V256H300.5zM105.7 8.6l8.6 26.2h27.5L119.5 51l8.6 26.2L105.7 61 83.4 77.2 91.9 51 69.6 34.8h27.6z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Central African Republic +236</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.331h512v341.337H0z"></path><path fill="#0052B4" d="M0 85.331h170.663v341.337H0z"></path><path fill="#D80027" d="M341.337 85.331H512v341.337H341.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Chad +235</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.337h512v341.326H0z"></path><path fill="white" d="M256 85.337h256V256H256z"></path><path fill="#0052B4" d="M0 85.337h256V256H0z"></path><path fill="white" d="M128 109.801l15.108 46.498H192l-39.554 28.739 15.108 46.498L128 202.799l-39.554 28.737 15.108-46.498L64 156.299h48.892z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Chile +56</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#D80027" d="M0 0h512v341.3H0z"></path><g fill="#FFDA44"><path d="M352.3 312.6L328 294.9l-24.4 17.7 9.3-28.6-24.3-17.7h30.1l9.3-28.6 9.3 28.6h30.1L343 284zM415.9 120.9l-24.4 17.7 9.3 28.6-24.3-17.7-24.4 17.7 9.3-28.6-24.3-17.7h30.1l9.3-28.6 9.3 28.6zM367.4 57.4L343 75l9.3 28.7L328 86l-24.4 17.7 9.3-28.7-24.3-17.6h30.1l9.3-28.7 9.3 28.7zM415.9 204.4L391.5 222l9.3 28.7-24.3-17.7-24.4 17.7 9.3-28.7-24.3-17.6h30.1l9.3-28.7 9.3 28.7z"></path></g><path fill="#FFDA44" d="M167.6 64.4l26 80.3h84.5l-68.3 49.6 26.1 80.4-68.3-49.7-68.4 49.7 26.1-80.4L57 144.7h84.5z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">China +86</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#0052B4" d="M0 0h512v341.3H0z"></path><path fill="#6DA544" d="M0 0h512v341.3"></path><g fill="white"><path d="M77.6 272l5.7 11.9 12.8-3-5.7 11.9 10.3 8.1-12.8 2.9V317l-10.3-8.3-10.2 8.3v-13.2l-12.8-2.9 10.3-8.1-5.8-11.9 12.9 3zM40.5 173.1l5.7 11.9 12.8-3-5.7 11.8 10.3 8.2-12.9 2.9.1 13.2-10.3-8.3-10.3 8.3.1-13.2-12.9-2.9 10.4-8.2L22 182l12.8 3zM77.6 92.2l5.7 11.8 12.8-2.9-5.7 11.8 10.3 8.2-12.8 2.9v13.1l-10.3-8.2-10.2 8.2V124l-12.8-2.9 10.3-8.2-5.8-11.8L72 104zM123.7 155.1l5.7 11.9 12.8-3-5.7 11.9 10.3 8.1-12.8 2.9v13.2l-10.3-8.2-10.2 8.2v-13.2l-12.8-2.9 10.3-8.1-5.7-11.9 12.8 3zM90.8 209.1l4.4 13.7h14.5L98 231.3l4.5 13.7-11.7-8.4-11.7 8.4 4.5-13.7-11.7-8.5h14.4z"></path></g><circle fill="#FFDA44" cx="267.1" cy="170.7" r="74.5"></circle><path fill="#6DA544" d="M267.1 220.3h24.8s10.8-19 0-37.2l24.8-24.8-12.4-24.8h-12.4s-6.2 18.6-31 18.6-31-18.6-31-18.6h-12.4l12.4 24.8-12.4 24.8 12.4 12.4s12.4-24.8 37.2-12.4c0 0 10.5 15.5 0 37.2z"></path><path fill="#FFDA44" d="M464.4 92.2c.6-2.9-.2-17.6-.2-20.7 0-21.3-13.9-39.4-33.2-45.7 5.9 12 9.2 25.4 9.2 39.7 0 4.8-.4 9.5-1.1 14.1-2.9-4.7-6.6-8.9-11.2-12.6-17.1-13.6-40.6-14-57.9-2.5 13.4 2.9 26.3 8.9 37.7 18 9 7.1 16.2 16.8 21.7 26.1 0 0-17.8 10.9-31 15.1s-42.3 7.9-42.3 7.9c72 12 132-36 132-36-6.5-13.4-15.8-4-23.7-3.4z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Christmas Island +61</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#6DA544" d="M0 0h512v341.3H0z"></path><g fill="#FFDA44"><path d="M422.7 252.4l6.2 12.8 13.8-3.2-6.2 12.8 11.2 8.8-13.9 3.2V301l-11.1-8.9-11.1 8.9v-14.2l-13.8-3.2 11.1-8.8-6.2-12.8 13.9 3.2zM376.1 116.1l6.2 12.9 13.8-3.2-6.2 12.8 11.2 8.8-13.9 3.1v14.3l-11.1-8.9-11.1 8.9.1-14.3-13.9-3.1 11.1-8.8-6.2-12.8L370 129zM413.1 38.3l6.2 12.8 13.8-3.2-6.2 12.8 11.2 8.9-13.9 3.1v14.2L413.1 78 402 86.9l.1-14.2-13.9-3.1 11.1-8.9-6.2-12.8 13.9 3.2zM464.9 96.7l6.2 12.8 13.9-3.2-6.3 12.8 11.2 8.9-13.9 3.1.1 14.2-11.2-8.9-11.1 8.9.1-14.2L440 128l11.2-8.9-6.3-12.8 13.9 3.2zM436.9 164.8l4.9 14.8h15.6l-12.6 9.2 4.8 14.9-12.7-9.2-12.6 9.2 4.8-14.9-12.6-9.2h15.6z"></path></g><path fill="#FFDA44" d="M306.8 254.7c-49.2 0-89.1-39.9-89.1-89.1s39.9-89.1 89.1-89.1c15.3 0 29.8 3.9 42.4 10.7C329.4 67.9 302.3 56 272.5 56c-60.5 0-109.6 49.1-109.6 109.6S212 275.3 272.5 275.3c29.8 0 56.9-11.9 76.6-31.3-12.6 6.8-27 10.7-42.3 10.7zM140.4 59.5C129.7 41 109.7 28.6 86.8 28.6S44 41 33.3 59.5h107.1zM140.6 59.9l-53.8 53.8-53.7-53.8C28 68.9 25 79.3 25 90.5c0 34.2 27.7 61.9 61.9 61.9s61.9-27.7 61.9-61.9c-.1-11.2-3.1-21.6-8.2-30.6z"></path><path fill="#A2001D" d="M71.4 98.2v52.2c4.9 1.3 10.1 1.9 15.5 1.9s10.5-.7 15.5-1.9V98.2h-31z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Cocos (Keeling) Islands +61</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.337h512v341.326H0z"></path><path fill="#D80027" d="M0 343.096h512v83.567H0z"></path><path fill="#0052B4" d="M0 256h512v87.096H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Colombia +57</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.337h512v341.326H0z"></path><path fill="#FFDA44" d="M0 85.337h512v85.337H0z"></path><path fill="white" d="M0 170.663h512V256H0z"></path><path fill="#D80027" d="M0 256h512v85.337H0z"></path><path fill="#6DA544" d="M256 256.006L0 426.668V85.331z"></path><g fill="white"><path d="M68.638 256c0-24.865 17.476-45.638 40.812-50.734a52.059 52.059 0 00-11.13-1.208c-28.688 0-51.942 23.255-51.942 51.942s23.255 51.942 51.942 51.942c3.822 0 7.543-.425 11.13-1.208-23.337-5.096-40.812-25.869-40.812-50.734z"></path><path d="M108.877 211.478l2.762 8.503h8.94l-7.232 5.256 2.762 8.502-7.232-5.255-7.234 5.255 2.764-8.502-7.234-5.256h8.94zM108.877 233.739l2.762 8.503h8.94l-7.232 5.255 2.762 8.503-7.232-5.255-7.234 5.255 2.764-8.503-7.234-5.255h8.94zM108.877 256l2.762 8.503h8.94l-7.232 5.255 2.762 8.503-7.232-5.255-7.234 5.255 2.764-8.503-7.234-5.255h8.94zM108.877 278.261l2.762 8.502h8.94l-7.232 5.256 2.762 8.503-7.232-5.255-7.234 5.255 2.764-8.503-7.234-5.256h8.94z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Comoros +269</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.331h512v341.337H0z"></path><path fill="#6DA544" d="M443.726 85.331L102.4 426.657H0V85.331z"></path><path fill="#FFDA44" d="M500.124 85.331L158.798 426.657H11.876L353.202 85.331z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Congo +242</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.332h512v341.337H0z"></path><g fill="white"><path d="M384 156.705l5.283 16.254h17.089l-13.826 10.045 5.281 16.254L384 189.211l-13.825 10.047 5.28-16.254-13.825-10.045h17.089zM313.791 185.786l15.228 7.758 12.084-12.083-2.673 16.879 15.227 7.759-16.879 2.673-2.674 16.88-7.76-15.227-16.878 2.673 12.086-12.084zM284.71 255.995l16.254-5.281.001-17.089 10.044 13.825 16.254-5.282-10.046 13.827 10.046 13.826-16.254-5.28-10.044 13.825v-17.09zM313.791 326.204l7.759-15.229-12.084-12.084 16.881 2.674 7.757-15.227 2.674 16.879 16.879 2.672-15.227 7.759 2.673 16.882-12.084-12.087zM384 355.284l-5.281-16.253h-17.091l13.827-10.045-5.28-16.254L384 322.776l13.827-10.044-5.281 16.254 13.826 10.045h-17.089zM454.209 326.204l-15.229-7.758-12.083 12.084 2.673-16.882-15.227-7.756 16.879-2.675 2.675-16.879 7.756 15.227 16.881-2.674-12.086 12.085zM483.29 255.995l-16.254 5.281v17.09l-10.045-13.826-16.254 5.281 10.046-13.826-10.046-13.827 16.254 5.282 10.045-13.825v17.089zM454.209 185.788l-7.757 15.226 12.082 12.084-16.881-2.673-7.756 15.227-2.675-16.88-16.879-2.675 15.227-7.757-2.673-16.878 12.084 12.082zM0 186.665v16h46.069L0 233.377v7.539l57.377-38.252H80L0 255.998h112v-69.334H0zm96 69.331H22.628L96 207.083v48.913zM176 138.665l80-53.334H144v69.334h112v-16h-46.069L256 107.951v-7.539l-57.377 38.251H176v.002zm-16-53.332h73.372L160 134.246V85.333zM144 255.998h112l-80-53.334h22.623L256 240.917v-7.539l-46.069-30.713H256v-16H144v69.333zm16-48.915l73.372 48.913H160v-48.913zM112 85.331H0l80 53.334H57.377L0 100.413v7.539l46.069 30.712H0v16h112V85.331zm-16 48.915L22.628 85.333H96v48.913z"></path></g><g fill="#D80027"><path d="M144 85.331h-32v69.334H0v32h112v69.333h32v-69.333h112v-32H144z"></path><path d="M80 138.665L0 85.331v15.082l57.377 38.252zM176 138.665h22.623L256 100.413V85.331zM57.377 202.665L0 240.917v15.081l80-53.333zM176 202.665l80 53.333v-15.081l-57.377-38.252z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Cook Islands +682</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.331h512v341.326H0z"></path><path fill="#D80027" d="M0 211.473h512v89.043H0z"></path><g fill="#0052B4"><path d="M0 352.462h512v74.207H0zM0 85.331h512v74.207H0z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Costa Rica +506</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.331h512v341.326H0z"></path><path fill="#6DA544" d="M330.207 85.331H512v341.337H330.207z"></path><path fill="#FF9811" d="M0 85.331h181.793v341.337H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Cote d'Ivoire +225</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><path fill="#D80027" d="M0 0h513v114H0z"></path><path fill="#0052B4" d="M0 228h513v114H0z"></path><g fill="#338AF3"><path d="M309.3 113.2v-44l17.5-14.4 17.7 14.4v44zM203.7 113.2v-44l-17.3-14.4-17.9 14.4v44zM238.9 113.2v-44l17.6-14.4 17.6 14.4v44z"></path></g><g fill="#0052B4"><path d="M309.3 113.2h-35.2v-44l17.5-14.4 17.7 14.4zM238.9 113.2h-35.2v-44l17.5-14.4 17.7 14.4z"></path></g><path stroke="#D80027" fill="white" d="M168.5 113.2v101.9c0 24.3 14.4 46.2 35.4 59.4 21.3 13.4 42.1 14.7 52.6 14.7s31.4-1.7 52.6-14.8c21-13 35.4-35.1 35.4-59.3V113.2h-176z"></path><g fill="#D80027"><path d="M168.5 113.2h35.2v35.2h-35.2zM238.9 113.2h35.2v35.2h-35.2zM309.3 113.2h35.2v35.2h-35.2zM203.7 148.4h35.2v35.2h-35.2zM274.1 148.4h35.2v35.2h-35.2zM168.5 183.6h35.2v35.2h-35.2zM203.7 218.8h35.2V254h-35.2zM238.9 183.6h35.2v35.2h-35.2zM309.3 183.6h35.2v35.2h-35.2zM274.1 218.8h35.2V254h-35.2zM309.3 274.3c8.6-5.4 16.2-12.3 22-20.3h-22v20.3zM181.7 254c5.8 8 13.3 14.9 22 20.4V254h-22zM238.9 254v33.7c7.2 1.2 13.3 1.5 17.6 1.5 4.3 0 10.4-.3 17.6-1.6V254h-35.2z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Croatia +385</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#FF9811" d="M0-40.8v422.9-211.4z"></path><path fill="white" d="M0 0h512v341.3H0z"></path><g fill="#0052B4"><path d="M0 0h512v68.3H0zM0 136.5h512v68.3H0zM0 273.1h512v68.3H0z"></path></g><path fill="#D80027" d="M256 170.7L0 341.3V0z"></path><path fill="white" d="M81.5 94.8l16.9 51.9H153l-44.2 32.1 16.9 52-44.2-32.1-44.2 32.1 16.9-52L10 146.7h54.6z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Cuba +53</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="white" d="M0 0h512v341.3H0z"></path><path fill="#6DA544" d="M371.5 275.9l-11.1-15c-22.4 16.1-67.7 35.8-104.3 35.8-35.8 0-79.6-17.1-104.3-35.8l-11.1 15c10 10.3 46.9 27 88.4 38.4-3.9 6-1.6 6.1 2.6 10.8 8.5-6.6 17.4-1.5 24.9-7.3 7.5 5.8 16.3.7 24.9 7.3 5.4-5.6 5.4-5.6 2.5-11.1 41-11.7 77-27.6 87.5-38.1z"></path><path fill="#DB7D00" d="M113.7 168.7s.2 79.9 89 77.8L208 263h10.6s-8.9-49 71.7-49.4c0 0 0-32.9 32.9-32.9h49.4S294 119 442.8 40.1l2.2-15.6s-154.8 84.6-237 68.1c0 0 12.7 50.7-12.9 50.7-12.8 0-11.6-9.6-38.4-9.6-22.3 0-20.6 23.5-31.3 23.2S103 142.3 102 144.8s11.7 23.9 11.7 23.9z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Cyprus +357</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.337h512v341.326H0z"></path><path fill="#D80027" d="M512 256v170.663H0L215.185 256z"></path><path fill="white" d="M512 85.337V256H215.185L0 85.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Czech Republic +420</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#338AF3" d="M0 0h512v341.3H0z"></path><path fill="#FFDA44" d="M512 66.9V0H411.7L0 274.4v66.9h100.3z"></path><path fill="#D80027" d="M512 0v40.1L60.2 341.3H0v-40.1L451.8 0z"></path><path fill="#FFDA44" d="M93.6 31.2l16.3 50.4H163l-42.9 31.2 16.4 50.5-42.9-31.2-43 31.2L67 112.8 24.1 81.6h53.1z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Democratic Republic of the Congo +243</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#D80027" d="M0 0h513v342H0z"></path><path fill="white" d="M190 0h-60v140H0v60h130v142h60V200h323v-60H190z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Denmark +45</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#6DA544" d="M0 0h512v341.3H0z"></path><path fill="#338AF3" d="M512 0v166.7L0 170.8V0z"></path><path fill="white" d="M256 170.7L0 341.3V0z"></path><path fill="#D80027" d="M89.8 92.5l17 52.4H162l-44.6 32.5 17 52.4-44.6-32.4-44.6 32.4 17-52.4-44.6-32.5h55.2z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Djibouti +253</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#496E2D" d="M0 0h512v341.3H0z"></path><path d="M0 110.7v120h512v-120z"></path><path fill="#FFDA44" d="M0 110.7h512v40H0z"></path><path fill="white" d="M0 190.7h512v40H0z"></path><path d="M196 0h120v341.3H196z"></path><path fill="#FFDA44" d="M196 0h40v341.3h-40z"></path><path fill="white" d="M274.7 0h40v341.3h-40z"></path><circle fill="#D80027" cx="256" cy="170.7" r="123.1"></circle><g fill="#496E2D"><path d="M256 58.6l4.6 14.2h15l-12.1 8.9 4.6 14.2-12.1-8.8-12.1 8.8 4.6-14.2-12.1-8.9h15zM190.1 80l12.2 8.8 12.1-8.8-4.6 14.3 12.1 8.8h-15l-4.6 14.2-4.7-14.2h-15l12.1-8.8zM149.4 136h15l4.6-14.2 4.7 14.2h15l-12.2 8.8 4.7 14.3-12.2-8.8-12.1 8.8 4.6-14.3zM149.4 205.3l12.1-8.8-4.6-14.3L169 191l12.2-8.8-4.7 14.3 12.2 8.8h-15l-4.7 14.3-4.6-14.3zM190.1 261.4l4.6-14.3-12.1-8.8h15l4.7-14.3 4.6 14.3h15l-12.1 8.8 4.6 14.3-12.1-8.9zM256 282.8l-4.6-14.3h-15l12.1-8.8-4.6-14.3 12.1 8.8 12.1-8.8-4.6 14.3 12.1 8.8h-15zM321.9 261.4l-12.2-8.9-12.1 8.9 4.6-14.3-12.1-8.8h15l4.6-14.3 4.7 14.3h15l-12.1 8.8zM362.6 205.3h-15l-4.6 14.3-4.7-14.3h-15l12.2-8.8-4.7-14.3L343 191l12.1-8.8-4.6 14.3zM362.6 136l-12.1 8.8 4.6 14.3-12.1-8.8-12.2 8.8 4.7-14.3-12.2-8.8h15l4.7-14.2 4.6 14.2zM321.9 80l-4.6 14.3 12.1 8.8h-15l-4.7 14.2-4.6-14.2h-15l12.1-8.8-4.6-14.3 12.1 8.8z"></path></g><path fill="#496E2D" d="M279.3 168.7c-11-21.1-14.5-25.1-14.5-25.1s.4-9.7.4-15.6c0-8.8-7.4-15.8-16.5-15.8-8.6 0-15.7 2.9-16.5 11-4.2.9-8.6 4.1-8.6 10.7 0 4.8 1 7.3 5.2 9.3 2.1-4.6 4.3-4.8 9.3-6.4.8.6 1.7 3 2.6 3.4l.3 1s-13.3 6.6-13.3 30.9c0 29.5 22 45.4 22 45.4l-1.8.3-1.9 7.1h22v-7.2l11 17.5c.3-.3 10.2-47.6.3-66.5z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Dominica +1767</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="white" d="M0 0h512v341.3H0z"></path><path fill="#D80027" d="M0 215.2h211.5v126.1H0z"></path><path fill="#0052B4" d="M0 0h211.5v126.2H0z"></path><path fill="#D80027" d="M300.5 0H512v126.2H300.5z"></path><path fill="#0052B4" d="M300.5 215.2H512v126.1H300.5z"></path><g stroke="white" stroke-width="5" stroke-miterlimit="10"><path fill="#0052B4" d="M256 130h-49.9v49.4s19.5 6 49.9 6V130z"></path><path fill="#D80027" d="M206.1 179.4v6c0 27.5 22.3 49.9 49.9 49.9v-49.9c-30.4 0-49.9-6-49.9-6z"></path><path fill="#0052B4" d="M256 235.3c27.5 0 49.9-22.3 49.9-49.9v-6s-19.5 6-49.9 6v49.9z"></path><path fill="#D80027" d="M256 130v55.4c30.4 0 49.9-6 49.9-6V130H256z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Dominican Republic +1849</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#FFDA44" d="M0 0h512v341.3H0z"></path><path fill="#0052B4" d="M0 170.7h512V256H0z"></path><path fill="#D80027" d="M0 256h512v85.3H0z"></path><circle fill="#FFDA44" cx="256" cy="170.7" r="59.4"></circle><path fill="#4C1F00" d="M369.2 79.9s-27.2-13.8-33.9-16c-6.7-2.2-49.1-13.2-49.1-7 0 10.3-13.5 12-15.5 12s-2-5.3-14.8-5.3-13.7 4.8-15.8 4.8c-2.2 0-14.5-1-14.5-11.5 0-5.2-42.9 4-49.1 7-6.1 3.1-33.9 16-33.9 16s45.8 2.7 53.9 6.2 43.8 16.5 43.8 16.5l-2.8 13.3h37.8l-3.8-13.3s35.1-12.7 43.8-16.5 53.9-6.2 53.9-6.2z"></path><path fill="#57BA17" d="M217.7 171.7c0 21.1 17.2 38.3 38.3 38.3 21.1 0 38.3-17.2 38.3-38.3v-11.5h-76.5v11.5z"></path><path fill="#338AF3" d="M256 110.5c-21.1 0-38.3 17.2-38.3 38.3v11.5h76.5v-11.5c.1-21.1-17.1-38.3-38.2-38.3z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Ecuador +593</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="white" d="M0 0h512v341.3H0z"></path><path fill="#D80027" d="M0 0h512v113.8H0z"></path><path d="M0 227.6h512v113.8H0z"></path><path fill="#C09300" d="M220.3 204.4s0-58.4 4.5-64.7c3.1-4.3 16.8 5.2 22.7 4.5 0 0 4.2-7.5 4.5-12 .3-4.6-1.1-7.6-4.9-6.2 0 0-1.2-2.1.5-3.3 1.6-1.2 5.6.1 5.6.1s-.5-1 1.6-.9c2.9.2 7.2 1.4 7.4 5.6.2 3.1.3 7.7.4 8.7.7 6.8 2.7 8.7 2.7 8.7s18.4-9.2 22-5.2c3.3 3.8 4.5 64.7 4.5 64.7l-18.1-16.8 12.1 29.5s-14.4 2.4-28.9 2.4c-14.5 0-31.1-4.2-31.1-4.2l13.8-28.2-19.3 17.3z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Egypt +20</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><g fill="#0052B4"><path d="M0 85.337h512v113.775H0zM0 312.888h512v113.775H0z"></path></g><path fill="#FFDA44" d="M228.582 261.936L256 214.447l27.418 47.489z"></path><path fill="#6DA544" d="M291.616 277.616L256 295.425l-35.616-17.809v-23.744h71.232z"></path><path fill="#FFDA44" d="M289.579 216.485l-12.592 12.592c5.37 5.372 8.693 12.791 8.693 20.988 0 16.392-13.289 29.68-29.68 29.68-16.392 0-29.68-13.289-29.68-29.68 0-8.195 3.322-15.616 8.693-20.988l-12.592-12.592c-8.594 8.594-13.91 20.466-13.91 33.579 0 26.228 21.261 47.489 47.489 47.489s47.489-21.261 47.489-47.489c0-13.114-5.316-24.987-13.91-33.579z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">El Salvador +503</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><path fill="#6DA544" d="M0 0h513v113.8H0z"></path><path fill="#D80027" d="M0 227.6h513V342H0z"></path><path fill="#0070C8" d="M126 170.7L0 341.3V0z"></path><path fill="none" stroke="black" stroke-miterlimit="10" d="M233.8 139.4v40.4c0 35.6 35.6 35.6 35.6 35.6s35.6 0 35.6-35.6v-40.4h-71.2z"></path><path fill="#786145" d="M264.5 179.8h9.8l4 25.8h-17.8z"></path><path fill="#6DA544" d="M287.2 162c0-9.8-8-14.8-17.8-14.8s-17.8 5-17.8 14.8c-4.9 0-8.9 4-8.9 8.9s4 8.9 8.9 8.9h35.6c4.9 0 8.9-4 8.9-8.9s-4-8.9-8.9-8.9z"></path><g fill="#FFDA00" stroke="black" stroke-miterlimit="10"><path d="M230.7 120l1.9 3.3h3.8l-1.9 3.3 1.9 3.2h-3.8l-1.9 3.3-1.9-3.3H225l1.9-3.2-1.9-3.3h3.8zM246 120l1.9 3.3h3.7l-1.9 3.3 1.9 3.2h-3.7l-1.9 3.3-1.9-3.3h-3.8l1.9-3.2-1.9-3.3h3.8zM261.3 120l1.9 3.3h3.7l-1.9 3.3 1.9 3.2h-3.7l-1.9 3.3-1.9-3.3h-3.8l1.9-3.2-1.9-3.3h3.8zM277.1 120l1.9 3.3h3.8l-1.9 3.3 1.9 3.2H279l-1.9 3.3-1.9-3.3h-3.7l1.8-3.2-1.8-3.3h3.7zM293.1 120l1.9 3.3h3.8l-1.9 3.3 1.9 3.2H295l-1.9 3.3-1.9-3.3h-3.7l1.8-3.2-1.8-3.3h3.7zM308.1 120l1.9 3.3h3.7l-1.9 3.3 1.9 3.2H310l-1.9 3.3-1.9-3.3h-3.8l1.9-3.2-1.9-3.3h3.8z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Equatorial Guinea +240</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#338AF3" d="M0 0h512v341.3H0z"></path><path fill="#56AF35" d="M0 0h512v170.7H0z"></path><path fill="#D80027" d="M0 341.3l512-170.7L0 0v341.3z"></path><g fill="#ffc945"><path d="M134.7 231.5c33.6 0 60.8-27.2 60.8-60.8s-27.2-60.8-60.8-60.8-60.8 27.2-60.8 60.8 27.2 60.8 60.8 60.8zm0 24.3c-47 0-85.2-38.1-85.2-85.2s38.1-85.2 85.2-85.2 85.2 38.1 85.2 85.2-38.2 85.2-85.2 85.2z"></path><circle cx="119.5" cy="148.3" r="17.5"></circle><circle cx="148.9" cy="158.5" r="17.5"></circle><circle cx="134.7" cy="135.2" r="17.5"></circle><circle cx="119.5" cy="172.7" r="17.5"></circle><circle cx="149.9" cy="182.8" r="17.5"></circle><circle cx="122.5" cy="198" r="17.5"></circle><circle cx="145.9" cy="205.2" r="17.5"></circle></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Eritrea +291</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#111" d="M0 85.337h512v341.326H0z"></path><path fill="#368FD8" d="M0 85.337h512v113.775H0z"></path><path fill="white" d="M0 312.888h512v113.775H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Estonia +372</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 600"><path fill="#2B5DEA" d="M0 0h900v600H0V0z"></path><path fill="#FFDF29" d="M0 100h900v400H0V100z"></path><path fill="#D70000" d="M0 150h900v300H0V150z"></path><path fill="white" d="M450 171.4v257.2c114.3 0 171.4-85.7 214.3-128.6-42.9-42.9-100-128.6-214.3-128.6z"></path><path d="M450 171.4c-100 0-171.4 85.7-214.3 128.6C278.6 342.9 350 428.6 450 428.6V171.4z"></path><path fill="white" d="M346.3 254.3h21v91.3h-21zM398.2 254.3h21v91.3h-21z"></path><path d="M477.8 254.3h21v91.3h-21zM529.7 254.3h21v91.3h-21z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Eswatini +268</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 22.5 15"><path fill="#20AA46" d="M0 0h22.5v5H0V0z"></path><path fill="#E92F3B" d="M0 10h22.5v5H0v-5z"></path><path fill="#FADF50" d="M0 5h22.5v5H0V5z"></path><circle fill="#205CCA" cx="11.3" cy="7.5" r="5.2"></circle><path fill="#FFDB3D" d="M11.2 9.2L8.8 11l.9-2.9-2.4-1.8h3l1-2.8 1 2.9h3l-2.4 1.8.9 2.9-2.6-1.9zm0-1l.9.6-.3-1.1.9-.7h-1.1l-.4-1.1-.4 1.1H9.7l.9.7-.3 1.1c0 .1.9-.6.9-.6z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Ethiopia +251</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#0052B4" d="M0 0h512v341.3H0z"></path><path fill="white" d="M256 0v30.6l-45.2 25.1H256V115h-59.1l59.1 32.8v22.9h-26.7l-73.5-40.9v40.9h-55.6v-48.6l-87.5 48.6H0v-30.6L45.2 115H0V55.7h59.1L0 22.8V0h26.7l73.5 40.8V0h55.6v48.6L243.3 0z"></path><path fill="#D80027" d="M144 0h-32v69.3H0v32h112v69.4h32v-69.4h112v-32H144z"></path><path fill="#0052B4" d="M155.8 115L256 170.7v-15.8L184.2 115z"></path><path fill="white" d="M155.8 115L256 170.7v-15.8L184.2 115z"></path><g fill="#D80027"><path d="M155.8 115L256 170.7v-15.8L184.2 115zM71.8 115L0 154.9v15.8L100.2 115z"></path></g><path fill="#0052B4" d="M100.2 55.6L0 0v15.7l71.8 39.9z"></path><path fill="white" d="M100.2 55.6L0 0v15.7l71.8 39.9z"></path><g fill="#D80027"><path d="M100.2 55.6L0 0v15.7l71.8 39.9zM184.2 55.6L256 15.7V0L155.8 55.6z"></path></g><path fill="#1F8BDE" d="M312.2 194.2v-90c0-8.5 6.5-15.3 15-15.3h120.5c8.3 0 15 6.8 15 15.3v90c0 75.2-75.2 105.3-75.2 105.3s-75.3-30.1-75.3-105.3z"></path><path fill="white" d="M312.2 194.2v-90c0-8.5 6.5-15.3 15-15.3h120.5c8.3 0 15 6.8 15 15.3v90c0 75.2-75.2 105.3-75.2 105.3s-75.3-30.1-75.3-105.3zm79.6 86.3c7.9-4.5 15.9-10 23.2-16.7 20.5-18.5 32.6-41.4 32.6-69.7v-90c0-.3-120.4-.3-120.4-.3v90.3c0 28.3 12.1 51.2 32.6 69.7 8.3 7.5 17.6 13.9 27.6 19 1.4-.6 2.8-1.4 4.4-2.3z"></path><path fill="#187536" d="M347.1 193.4c-2.6-7.9 1.7-14.3 10.1-14.3h60.5c8.2 0 12.8 6.3 10.1 14.3l-5.5 16.5c-2.6 7.9-8.9 9.2-15.8 4 0 0 2.6-4.8-19.1-4.8-21.7 0-19.1 4.8-19.1 4.8-6.1 5.7-13.1 4-15.8-4 .1.1-5.4-16.5-5.4-16.5z"></path><path fill="white" d="M357.4 179.1c8.1 1.6 17.8-15 30.1-15 13.1 0 21.8 17.1 30.1 15 7.4-1.8 15-22.2 15-30.1 0-16.6-20.2-30.1-45.1-30.1-24.9 0-45.1 13.5-45.1 30.1-.1 8.5 6.6 28.5 15 30.1zM356 270.7c6.2.4 12.5-1.8 17.2-6.5l9-9c2.9-2.9 7.5-2.9 10.4 0l9 9c4.7 4.7 11 6.9 17.1 6.5 5.3-.3 32.5-33.5 25.7-32.6-4.6.6-9.1 2.8-12.7 6.3l-.1.1-9 9c-2.9 2.9-7.5 2.9-10.4 0l-9-9c-8.7-8.8-22.9-8.8-31.7-.1l-.1.1-9 9c-2.9 2.9-7.5 2.9-10.4 0l-9-9c-3.5-3.5-7.8-5.6-12.3-6.3-6.7-1.1 20.1 32.2 25.3 32.5zM322.1 210c2.9-2.9 7.5-2.9 10.4 0l9 9c8.8 8.7 22.9 8.7 31.7 0l9-9c2.9-2.9 7.5-2.9 10.4 0l9 9c8.8 8.7 22.9 8.7 31.7 0l9-9c2.9-2.9 7.5-2.9 10.4 0 0 0 5.5-14.8 2.5-15.9-7.9-2.9-17.2-1.2-23.5 5.2l-.1.1-9 9c-2.9 2.9-7.5 2.9-10.4 0l-9-9c-8.7-8.8-22.9-8.8-31.7-.1l-.1.1-9 9c-2.9 2.9-7.5 2.9-10.4 0l-9-9c-6.2-6.2-15.1-8-22.8-5.5-3.1 1.1 1.9 16.1 1.9 16.1z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Falkland Islands (Malvinas) +500</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="white" d="M0 0h512v341.3H0z"></path><path fill="#0F61A5" d="M512 214.5H206.2v126.8H118.4V214.5H0v-87.7h118.4V0H206.2v126.8H512V192z"></path><path fill="#E50E3D" d="M512 149.3V192H183.7v149.3H141V192H0v-42.7h141V0h42.7v149.3z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Faroe Islands +298</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#2E52B2" d="M0 0h512v341.3H0z"></path><path fill="white" d="M256 0v22.6l-46.1 30.7H256v64h-46.1L256 148v22.7h-22.6l-73.4-49v49H96v-49l-73.4 49H0V148l46.1-30.7H0v-64h46.1L0 22.6V0h22.6L96 48.9V0h64v48.9L233.4 0z"></path><g fill="#D80027"><path d="M144 0h-32v69.3H0v32h112v69.4h32v-69.4h112v-32H144z"></path><path d="M0 0v15.1l57.4 38.2H80zM256 0v15.1l-57.4 38.2H176z"></path><path d="M0 0v15.1l57.4 38.2H80zM256 0v15.1l-57.4 38.2H176zM0 170.7v-15.1l57.4-38.3H80zM256 170.7v-15.1l-57.4-38.3H176z"></path></g><path fill="#F3F3F3" d="M307.1 127.1v92c0 61.6 80.5 80.5 80.5 80.5s80.4-19 80.4-80.6v-92l-80.5-23-80.4 23.1z"></path><path fill="#D80027" d="M468 132.8V98.3H307.1v34.5h69v69h-69v23h69V296c6.9 2.5 11.5 3.5 11.5 3.5s4.6-1.1 11.5-3.5v-71.2h69v-23h-69v-69H468z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Fiji +679</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="white" d="M0 0h512v341.3H0z"></path><path fill="#2E52B2" d="M512 129.3V212H203.7v129.3H121V212H0v-82.7h121V0h82.7v129.3z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Finland +358</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.331h512v341.337H0z"></path><path fill="#0052B4" d="M0 85.331h170.663v341.337H0z"></path><path fill="#D80027" d="M341.337 85.331H512v341.337H341.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">France +33</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 90 60"><path fill="#FDEB01" d="M0 0l90 60H0z"></path><path fill="#58A846" d="M90 0v60L0 0z"></path><path fill="#ED3D24" stroke="#A02021" stroke-miterlimit="10" d="M54.1 35.3l14.7-10.7H50.6L45 7.3l-5.6 17.3H21.2l14.7 10.7-5.6 17.4L45 42l14.7 10.7z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">French Guiana +594</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><g fill="#D80027"><path d="M0 85.337h512v113.775H0zM0 312.888h512v113.775H0z"></path></g><path fill="#FFDA44" d="M293.991 256c0 20.982-17.01 33.243-37.992 33.243S218.008 276.982 218.008 256s17.01-37.992 37.992-37.992 37.991 17.01 37.991 37.992z"></path><path fill="#0052B4" d="M293.991 256c0 20.982-17.01 37.992-37.992 37.992s-37.992-17.01-37.992-37.992"></path><g fill="#D80027"><path d="M232.259 246.506h9.498v19h-9.498zM270.247 246.506h9.498v19h-9.498zM251.247 232.259h9.498v33.243h-9.498z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">French Polynesia +689</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.337h512v341.326H0z"></path><path fill="#6DA544" d="M0 85.337h512v113.775H0z"></path><path fill="#0052B4" d="M0 312.888h512v113.775H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Gabon +241</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#1a7e25" d="M0 322.783h512v103.88H0z"></path><path fill="#cf0d19" d="M0 85.337h512v104.515H0z"></path><path fill="#0052B4" d="M0 210.877h512v89.656H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Gambia +220</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 22.5 15"><path fill="white" d="M.8 0h21v15H.8V0z"></path><path fill="#eb000e" d="M9.8 6H0v3h9.8v6h3V9h9.8V6h-9.8V0h-3v6z"></path><path fill="#eb000e" d="M17.3 2.7l-.2-1.2h1l-.2 1.2 1.2-.2v1l-1.2-.2.2 1.2h-1l.2-1.2-1.2.2v-1l1.2.2zm-12.7 0l-.2-1.2h1l-.2 1.2 1.2-.2v1l-1.2-.2.2 1.2h-1l.2-1.2-1.2.2v-1l1.2.2zm0 9l-.2-1.2h1l-.2 1.2 1.2-.2v1l-1.2-.2.2 1.2h-1l.2-1.2-1.2.2v-1l1.2.2zm12.7 0l-.2-1.2h1l-.2 1.2 1.2-.2v1l-1.2-.2.2 1.2h-1l.2-1.2-1.2.2v-1l1.2.2z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Georgia +995</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.337h512v341.326H0z"></path><path fill="#D80027" d="M0 85.337h512v113.775H0z"></path><path fill="#496E2D" d="M0 312.888h512v113.775H0z"></path><path d="M255.883 199.111l14.119 43.458 40.366 3.2-36.969 26.861 19.453 40.259-36.969-26.859-36.97 26.859 14.123-43.459-36.969-26.861h45.696z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Ghana +233</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><path fill="#D80027" d="M0 230h513v112H0z"></path><path fill="#D80027" stroke="black" stroke-miterlimit="10" d="M363.1 131.8V99.1H374V77.3h-21.9v10.9h-21.8V77.3h-21.8v21.8h10.9v32.7h-21.8V55.5h10.9V33.7h-21.8v10.9h-10.9V33.7H254v10.9h-10.9V33.7h-21.8v21.8h10.9v76.3h-21.8V99.1h10.9V77.3h-21.8v10.9h-21.8V77.3h-21.8v21.8h10.9v32.7H145V219h239.9v-87.2z"></path><path fill="#FFDA44" stroke="black" stroke-miterlimit="10" d="M264.9 235.5l-24.2 18.2 19.1 14.3v31.3h-23.2v9h23v7.9h-23v9.3H270V268l19.1-14.3-24.2-18.2zm0 25.3l-10.1-7.1 10.1-7.1 10.1 7.1-10.1 7.1z"></path><path d="M239.6 209.7v-27.9s.1-22.3 25-22.3c24.8 0 25.7 22 25.7 22v28.2h-50.7zM170.5 209.7v-24.3s.1-18.7 19.6-18.7 20.2 18.4 20.2 18.4v24.5h-39.8z"></path><path d="M169.1 209.7v-24.3s.1-18.7 19.6-18.7 20.2 18.4 20.2 18.4v24.5h-39.8zM320.9 209.7v-24.3s.1-18.7 19.6-18.7 20.2 18.4 20.2 18.4v24.5h-39.8zM329.3 132v-15.7s.1-12.1 11.3-12.1c11.3 0 11.7 11.9 11.7 11.9V132h-23zM250.5 132v-23.7s.1-18.3 14.3-18.3c14.2 0 14.7 18 14.7 18v24h-29zM177.5 132v-15.7s.1-12.1 11.3-12.1 11.7 11.9 11.7 11.9V132h-23z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Gibraltar +350</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><g fill="#1571CC"><path d="M0 0h513v38H0zM0 76h513v38H0zM0 152h513v38H0zM0 228h513v38H0zM0 304h513v38H0z"></path></g><path fill="#1571CC" d="M0 0h190v190H0z"></path><g fill="white"><path d="M0 76h190v38H0z"></path><path d="M76 0h38v190H76z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Greece +30</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#D80027" d="M0 0h513v342H0z"></path><path fill="white" d="M513 0v171H0V0z"></path><circle fill="white" cx="185.8" cy="171.2" r="117.8"></circle><path fill="#D80027" d="M68 171c0-65.1 52.8-117.8 117.8-117.8 65.1 0 117.8 52.8 117.8 117.8"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Greenland +299</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#c60a0a" d="M0 0h512v341.3H0z"></path><path fill="#3E8446" d="M256 170.7L44.5 296.8V44.5z"></path><g fill="#FFDA44"><path d="M256 170.7l211.5 126.1h-423zM467.5 44.5L256 170.7 44.5 44.5z"></path></g><path fill="#3E8446" d="M467.5 44.5v252.3L256 170.7z"></path><g fill="#FFDA44"><path d="M256 10.4l3.3 10.2H270l-8.6 6.3 3.3 10.2-8.7-6.3-8.7 6.3 3.3-10.2-8.6-6.3h10.7zM170.1 10.4l3.3 10.2h10.7l-8.6 6.3 3.3 10.2-8.7-6.3-8.7 6.3 3.3-10.2-8.6-6.3h10.7zM341.9 10.4l3.3 10.2H356l-8.7 6.3 3.3 10.2-8.7-6.3-8.7 6.3 3.3-10.2-8.6-6.3h10.7zM256 304.2l3.3 10.2H270l-8.6 6.3 3.3 10.2-8.7-6.3-8.7 6.3 3.3-10.2-8.6-6.3h10.7zM170.1 304.2l3.3 10.2h10.7l-8.6 6.3 3.3 10.2-8.7-6.3-8.7 6.3 3.3-10.2-8.6-6.3h10.7zM341.9 304.2l3.3 10.2H356l-8.7 6.3 3.3 10.2-8.7-6.3-8.7 6.3 3.3-10.2-8.6-6.3h10.7z"></path></g><circle fill="#c60a0a" cx="244.5" cy="170.7" r="76.2"></circle><path fill="#FFDA44" d="M244.5 110.1l13.6 41.8h44l-35.6 25.8 13.6 41.8-35.6-25.8-35.5 25.8 13.6-41.8-35.6-25.8h44zM107.7 167.8c4.4 6.9 2.3 16.1-4.6 20.5s-16.1 2.3-20.5-4.6c-7.9-12.5-3.3-33-3.3-33s20.4 4.6 28.4 17.1z"></path><circle fill="#A2001D" cx="99.1" cy="182.1" r="7.4"></circle></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Grenada +1473</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.331h512v341.337H0z"></path><path fill="#0052B4" d="M0 85.331h170.663v341.337H0z"></path><path fill="#D80027" d="M341.337 85.331H512v341.337H341.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Guadeloupe +590</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#D80027" d="M0 0h512v341.3H0z"></path><path fill="#0052B4" d="M11.1 11.1h489.7v319.1H11.1z"></path><path fill="#7DBEF1" d="M256 285.3s76.4-51.3 76.4-114.6S256 56 256 56s-76.4 51.3-76.4 114.6S256 285.3 256 285.3z"></path><path fill="#1C8AE6" d="M179.8 180.7h152.6l-29.3 64.9h-95.2z"></path><path fill="#FFF042" d="M192.3 205.9s40.5 38.2 51 38.2c12.4 0 12.6-18.4 25.5-25.5 20.2-11.1 51-12.7 51-12.7L297 248.7l-41 36.6-46.8-39.7-16.9-39.7z"></path><path fill="#259C7B" d="M256 157.5l-22.5 15.6 7.9-26.2-21.8-16.5 27.4-.5 9-25.9 9 25.9 27.4.5-21.8 16.6 7.9 26.2-22.5-15.7z"></path><path fill="#8E5715" d="M249.7 144.6c-.9 9.2-1.5 18.4-1.7 27.6-.3 11.9.3 20.7 2 26 2.2 6.6 7.2 12.9 14.2 18.9 5.3 4.6 10.6 8.1 14.2 10.1 3.1 1.7 7 .6 8.7-2.4 1.7-3.1.6-7-2.4-8.7-4.3-2.5-8.4-5.4-12.2-8.7-5.4-4.6-9.1-9.2-10.4-13.3-1.1-3.4-1.6-11.3-1.4-21.7.2-8.9.8-17.8 1.7-26.6.4-3.5-2.2-6.6-5.7-7-3.6-.3-6.7 2.3-7 5.8z"></path><path fill="white" d="M217.8 170.7l25.5 38.2h-25.5v-38.2z"></path><path fill="none" stroke="#D80027" stroke-width="12" stroke-miterlimit="10" d="M256 285.3s76.4-51.3 76.4-114.6S256 56 256 56s-76.4 51.3-76.4 114.6S256 285.3 256 285.3z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Guam +1671</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><g fill="#338AF3"><path d="M0 0h171v342H0zM342 0h171v342H342z"></path></g><circle fill="#DCC26D" cx="256" cy="155.8" r="25.5"></circle><path fill="#628A40" d="M194.2 155.9c0 22.1 11.8 42.5 30.8 53.5 5.9 3.4 13.5 1.4 16.9-4.5 3.4-5.9 1.4-13.5-4.5-16.9-11.5-6.6-18.5-18.9-18.5-32.1 0-6.8-5.5-12.4-12.4-12.4s-12.3 5.5-12.3 12.4zm95.1 52.1c17.8-11.4 28.6-31 28.5-52.1 0-6.8-5.5-12.4-12.4-12.4-6.8 0-12.4 5.5-12.4 12.4 0 12.7-6.5 24.5-17.1 31.3-5.8 3.6-7.7 11.2-4.1 17 3.6 5.8 11.2 7.7 17 4.1.2-.1.3-.2.5-.3z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Guatemala +502</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><path fill="#D80027" d="M308 0H204v118.7H0v104h204V342h104V222.7h205v-104H308z"></path><path fill="#FFDA44" d="M368.6 188l26 17.3V136l-26 17.3h-95.3V58.1l17.3-26h-69.2l17.3 26v95.2h-95.3l-26-17.3v69.3l26-17.3h95.3v95.2l-17.3 26h69.2l-17.3-26V188z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Guernsey +44</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#FFDA44" d="M0 0h512v342H0z"></path><path fill="#6DA544" d="M342 0h171v342H342z"></path><path fill="#D80027" d="M0 0h171v342H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Guinea +224</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#6DA544" d="M0 85.331h512v341.337H0z"></path><path fill="#FFDA44" d="M0 85.331h512v170.663H0z"></path><path fill="#D80027" d="M0 85.331h181.793v341.337H0z"></path><path d="M98.32 195.127l15.107 46.497h48.894l-39.555 28.74 15.108 46.498-39.554-28.737-39.556 28.737 15.111-46.498-39.554-28.74h48.891z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Guinea-Bissau +245</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 600"><path fill="#009E49" d="M0 0h900v600H0V0z"></path><path fill="white" d="M0 0l947 300L0 600V0z"></path><path fill="#FFD00D" d="M0 26.1L870 300 0 573.9V26.1z"></path><path fill="#2D2D2D" d="M0 0l450 300L0 600V0z"></path><path fill="#D3132F" d="M0 35l397.5 265L0 565V35z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Guyana +592</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#A2001D" d="M0 0h513v172H0z"></path><path fill="#0052B4" d="M0 172h513v172H0z"></path><path fill="white" d="M381.4 251.5l-110.7-13.8-110.8 13.8V85.4h221.5z"></path><circle fill="#0052B4" cx="270.7" cy="182.3" r="55.4"></circle><circle fill="#A2001D" cx="270.7" cy="182.3" r="27.7"></circle><path fill="#6DA544" d="M229.1 113.1h83.1l-41.5 41.5z"></path><path fill="#FFDA44" d="M256.8 140.8h27.7v83h-27.7z"></path><path fill="#6DA544" d="M314.9 215.5h-88.5l-66.5 36h221.5z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Haiti +509</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.331h512v341.326H0z"></path><path fill="white" d="M256 85.331h256v341.337H256z"></path><path fill="#ACABB1" d="M321.353 233.837l32.073 42.43c-5.053 7.651-5.026 17.961.817 25.692 7.414 9.807 21.374 11.748 31.182 4.335 9.807-7.414 11.748-21.374 4.334-31.182-5.843-7.731-15.756-10.568-24.495-7.795l-49.988-66.129-11.838 8.949-17.759 13.424 17.899 23.677 17.775-13.401zm46.175 48.78a7.421 7.421 0 118.95 11.84 7.421 7.421 0 01-8.95-11.84z"></path><path fill="#FFDA44" d="M376.367 247.24l17.899-23.677-17.759-13.424-11.838-8.949-49.988 66.129c-8.74-2.775-18.651.063-24.495 7.795-7.414 9.808-5.473 23.768 4.334 31.182 9.808 7.414 23.768 5.473 31.182-4.335 5.845-7.731 5.871-18.041.817-25.692l32.073-42.43 17.775 13.401zm-62.504 45.771a7.42 7.42 0 11-11.84-8.95 7.42 7.42 0 0111.84 8.95z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Holy See (Vatican City State) +379</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><g fill="#338AF3"><path d="M0 0h513v114H0zM0 228h513v114H0zM203.5 117.9l6.7 16.6 17.6 1-14 10.9 4.7 17.7-15-9.9-15 9.9 4.7-17.7-14-10.9 17.6-1zM308.5 117.9l6.7 16.6 17.6 1-14 10.9 4.7 17.7-15-9.9-15 9.9 4.7-17.7-14-10.9 17.6-1zM256 147.6l6.7 16.6 17.6 1-14 10.9 4.7 17.7-15-9.9-15 9.9 4.7-17.7-14-10.9 17.6-1zM203.5 177.3l6.7 16.6 17.6 1-14 10.9 4.7 17.6-15-9.9-15 9.9 4.7-17.6-14-10.9 17.6-1zM308.5 177.3l6.7 16.6 17.6 1-14 10.9 4.7 17.6-15-9.9-15 9.9 4.7-17.6-14-10.9 17.6-1z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Honduras +504</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#D80027" d="M0 85.337h512v113.775H0z"></path><path fill="#6DA544" d="M0 312.888h512v113.775H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Hungary +36</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.334h512v341.337H0z"></path><path fill="white" d="M512 295.883H202.195v130.783H122.435V295.883H0V216.111h122.435V85.329H202.195v130.782H512V277.329z"></path><path fill="#D80027" d="M512 234.666v42.663H183.652v149.337h-42.674V277.329H0v-42.663h140.978V85.329h42.674v149.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Iceland +354</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#A2001D" d="M0 85.337h512V256H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Indonesia +62</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h512v342H0z"></path><path fill="#6DA544" d="M0 0h513v114H0z"></path><g fill="#D80027"><path d="M0 227.9h513v114H0zM278.8 134.8c.1 2 8.7 26.2 4.4 39.4-6.6 20.3-15.8 21.8-19.8 24.5V134l-6.9-4.2-6.9 4.2v64.7c-4-2.7-12.4-2.4-19.8-24.5-4.3-12.7 5.7-37.3 5.8-39.2 0 0-9.5 8.1-15.8 24-5.9 14.8 1.9 49.6 29.5 54.8 2.3.4 4.7 5.6 7.2 5.6 2.1 0 4.1-5.2 6-5.5 28.4-4.6 35-41.7 29.9-55.6-5.4-14.6-13.6-23.5-13.6-23.5z"></path></g><g fill="white" opacity=".5"><path d="M44.6 98.9h22.3v24.4H44.6zM0 98.9h22.3v24.4H0zM89.2 98.9h22.3v24.4H89.2zM133.8 98.9h22.3v24.4h-22.3zM178.4 98.9h22.3v24.4h-22.3zM223 98.9h22.3v24.4H223zM267.7 98.9H290v24.4h-22.3zM312.3 98.9h22.3v24.4h-22.3zM356.9 98.9h22.3v24.4h-22.3zM401.5 98.9h22.3v24.4h-22.3zM446.1 98.9h22.3v24.4h-22.3zM490.7 98.9H513v24.4h-22.3zM44.6 216.9h22.3v25.5H44.6zM0 216.9h22.3v25.5H0zM89.2 216.9h22.3v25.5H89.2zM133.8 216.9h22.3v25.5h-22.3zM178.4 216.9h22.3v25.5h-22.3zM223 216.9h22.3v25.5H223zM267.7 216.9H290v25.5h-22.3zM312.3 216.9h22.3v25.5h-22.3zM356.9 216.9h22.3v25.5h-22.3zM401.5 216.9h22.3v25.5h-22.3zM446.1 216.9h22.3v25.5h-22.3zM490.7 216.9H513v25.5h-22.3z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Iran +98</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><path fill="#CE1126" d="M0 0h513v114H0z"></path><path d="M0 228h513v114H0z"></path><g fill="#547C31"><path d="M219.2 160.7h-29.3c1.5-5.7 6.6-9.9 12.8-9.9v-19.9c-18.3 0-33.1 14.9-33.1 33.1v16.5h49.6c1.8 0 3.3 1.5 3.3 3.3v6.6h-66.2v19.9h86.1v-26.5c0-12.7-10.4-23.1-23.2-23.1zM268.8 190.5v-59.6H249v79.5h33.1v-19.9zM335 190.5v-59.6h-19.8v59.6h-6.6v-19.8h-19.9v39.7h59.6v-19.9z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Iraq +964</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#E52D42" d="M0 0h513v342H0z"></path><path fill="white" d="M393.3 68.2h-45.8l-33.8 80.2-34.4-22.9s-24.7-59.1-34.4-68.2c-9.7-9.7-18.7-.6-48.9 7.8-29.6 8.4-30.8 18.7-42.2 18.7-4.8 0-19.9-17.5-27.7-22.3-12.1-7.8-16.9-4.2-13.9 7.2 1.2 4.8 10.9 10.9 16.9 19.9 7.8 11.5 12.7 25.9 12.7 25.9s10.9-10.3 16.9-12.1c9-2.4 19.3 1.8 31.4 0 15.1-2.4 31.4-10.9 31.4-10.9l4.2 43.4s-54.3 50.7-49.5 70.6 56.1 44.6 68.2 62.7c12.1 17.5-7.2 24.1-7.2 32.6s-1.8 19.9 7.2 16.3c9-3.6 10.3-18.1 18.7-31.4 6-9 10.3-13.9 11.5-17.5 1.8-9-23.5-32-37.4-48.9-6.6-7.8-19.9-18.7-19.9-18.7l39.2-29.6s67.6 27.7 82.6 18.7c15.1-9 19.3-98.3 19.3-98.3l47-11.5-12.1-11.7z"></path><path fill="#F8DD4E" d="M279.3 262.4c-6 0-11.5-4.8-11.5-11.5s4.8-11.5 11.5-11.5c6 0 11.5 4.8 11.5 11.5s-5.5 11.5-11.5 11.5zm45.8-182.8c-6 0-11.5-4.8-11.5-11.5s4.8-11.5 11.5-11.5c6 0 11.5 4.8 11.5 11.5s-5.5 11.5-11.5 11.5zm0 91.1c-6 0-11.5-4.8-11.5-11.5 0-6 4.8-11.5 11.5-11.5 6 0 11.5 4.8 11.5 11.5-.6 6.7-5.5 11.5-11.5 11.5zm-136.9 45.8c-6 0-11.5-4.8-11.5-11.5 0-6 4.8-11.5 11.5-11.5 6.6 0 11.5 4.8 11.5 11.5s-5.5 11.5-11.5 11.5zm45.2-136.9c-6 0-11.5-4.8-11.5-11.5s4.8-11.5 11.5-11.5c6 0 11.5 4.8 11.5 11.5s-4.8 11.5-11.5 11.5zm22.9 91.1c-6 0-11.5-10.3-11.5-22.9s4.8-22.9 11.5-22.9c6 0 11.5 10.3 11.5 22.9s-4.8 22.9-11.5 22.9zm-114-45.2c-6 0-11.5-4.8-11.5-11.5 0-6.6 4.8-11.5 11.5-11.5 6.6 0 11.5 4.8 11.5 11.5 0 6.6-4.8 11.5-11.5 11.5z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Isle of Man +44</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><g fill="#2E52B2"><path d="M340.6 122.4h-56.1l-28-48.6-28 48.6h-56.1l28 48.6-28 48.6h56.1l28 48.6 28-48.6h56.1l-28-48.6 28-48.6zM293.2 171L276 204.2h-38.9L219.8 171l17.2-33.2h38.9l17.3 33.2zm-36.7-71.8l11.9 23.3h-23.9l12-23.3zm-58.3 38.6h23.9l-10.8 21-13.1-21zm0 66.4l13-22.1 11.9 22.1h-24.9zm58.3 37.5l-11.9-22.1h23.9l-12 22.1zm59.4-37.5h-25l11.9-22.1 13.1 22.1zm-26.1-66.4h26.1l-13 22.1-13.1-22.1zM0 21.3h512V64H0zM0 277.3h512V320H0z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Israel +972</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M341.334 85.33H0v341.332h512V85.33z"></path><path fill="#6DA544" d="M0 85.333h170.663V426.67H0z"></path><path fill="#D80027" d="M341.337 85.333H512V426.67H341.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Italy +39</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#6DA544" d="M0 85.337h512v341.326H0z"></path><path d="M215.864 256.006L0 399.911V112.089zM512 112.089v287.822L296.136 256.006z"></path><path fill="#0052B4" d="M512 112.089L296.136 256.006 512 399.911v26.757h-40.125L256 282.752 40.125 426.668H0v-26.757l215.864-143.905L0 112.089V85.331h40.125L256 229.248 471.875 85.331H512z"></path><path fill="#FFDA44" d="M512 112.089L296.136 256.006 512 399.911v26.757h-40.125L256 282.752 40.125 426.668H0v-26.757l215.864-143.905L0 112.089V85.331h40.125L256 229.248 471.875 85.331H512z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Jamaica +1876</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.331h512v341.337H0z"></path><circle fill="#D80027" cx="256" cy="255.994" r="96"></circle></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Japan +81</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><path fill="#D80027" d="M301.8 171L513 30.2V0h-45.3L256.5 140.8 45.3 0H0v30.2L211.2 171 0 311.8V342h45.3l211.2-140.8L467.7 342H513v-30.2z"></path><path fill="#FFDA44" d="M233.7 44.6l22.3 5.6 22.3-5.6 4-20.9-14.9 6.5L256 14.8l-11.4 15.4-14.9-6.5z"></path><path fill="#D80027" d="M233.7 44.6s-4 12.9-4 29.9c0 27.9 26.3 41.3 26.3 41.3s26.3-15.5 26.3-41.3c0-15.4-4-29.9-4-29.9s-8.1-5-22.3-5-22.3 5-22.3 5z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Jersey +44</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.339h512v341.326H0z"></path><path d="M0 85.339h512v113.775H0z"></path><path fill="#6DA544" d="M0 312.89h512v113.775H0z"></path><path fill="#D80027" d="M256 256.006L0 426.669V85.331z"></path><path fill="white" d="M77.913 224.802l7.876 16.469 17.786-4.11-7.965 16.426 14.303 11.343-17.808 4.014.049 18.255-14.241-11.421-14.241 11.421.05-18.255-17.809-4.014 14.303-11.343-7.965-16.426 17.786 4.11z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Jordan +962</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#36B6CC" d="M0 0h513v342H0V0z"></path><circle fill="#FFD400" cx="256.5" cy="170.9" r="68.4"></circle><path fill="#FFD400" d="M256.5 251.5l-27.9 41.7-7.1-49.7-43.2 25.5 15.2-47.8-50 4.2 34.4-36.5-46.9-18 46.8-18-34.4-36.5 50 4.2-15.2-47.8 43.2 25.4 7.1-49.7 27.9 41.7 27.9-41.7 7.1 49.7 43.2-25.4-15.2 47.8 50-4.2-34.3 36.6 46.8 17.9-46.8 18 34.4 36.5-50-4.2 15.2 47.8-43.2-25.4-7.1 49.7c0-.1-27.9-41.8-27.9-41.8zm0-.8c44.1 0 79.9-35.8 79.9-79.9S300.6 91 256.5 91s-79.9 35.8-79.9 79.9 35.8 79.8 79.9 79.8zM22.8 28.3c0-3.2 2.4-5.7 5.7-5.7h11.3c3.2 0 5.7 2.4 5.7 5.7v11.3c.1 3.1-2.4 5.7-5.6 5.7H28.5c-3.1 0-5.7-2.5-5.7-5.6v-.1-11.3zm0 45.7c0-3.2 2.4-5.7 5.7-5.7h11.3c3.2 0 5.7 2.4 5.7 5.7v11.3c.1 3.1-2.4 5.7-5.6 5.7H28.5c-3.1 0-5.7-2.5-5.7-5.6V74zm0 45.6c0-3.2 2.4-5.7 5.7-5.7h11.3c3.2 0 5.7 2.4 5.7 5.7v11.3c.1 3.1-2.4 5.7-5.6 5.7H28.5c-3.1 0-5.7-2.5-5.7-5.6v-.1-11.3zm0 45.6c0-3.2 2.4-5.7 5.7-5.7h11.3c3.2 0 5.7 2.4 5.7 5.7v11.3c.1 3.1-2.4 5.7-5.6 5.7H28.5c-3.1 0-5.7-2.5-5.7-5.6v-.1-11.3zm0 45.7c0-3.2 2.4-5.7 5.7-5.7h11.3c3.2 0 5.7 2.4 5.7 5.7v11.3c.1 3.1-2.4 5.7-5.6 5.7H28.5c-3.1 0-5.7-2.5-5.7-5.6v-11.4zm0 45.6c0-3.2 2.4-5.7 5.7-5.7h11.3c3.2 0 5.7 2.4 5.7 5.7v11.3c.1 3.1-2.4 5.7-5.6 5.7H28.5c-3.1 0-5.7-2.5-5.7-5.6v-11.4zm0 45.6c0-3.2 2.4-5.7 5.7-5.7h11.3c3.2 0 5.7 2.4 5.7 5.7v11.3c.1 3.1-2.4 5.7-5.6 5.7H28.5c-3.1 0-5.7-2.5-5.7-5.6v-11.4zm22.8-22.8c0-3.2 2.4-5.7 5.7-5.7h11.3c3.2 0 5.7 2.4 5.7 5.7v11.3c.1 3.1-2.4 5.7-5.6 5.7H51.3c-3.1 0-5.7-2.5-5.7-5.6v-11.4zm0-45.6c0-3.2 2.4-5.7 5.7-5.7h11.3c3.2 0 5.7 2.4 5.7 5.7V245c.1 3.1-2.4 5.7-5.6 5.7H51.3c-3.1 0-5.7-2.5-5.7-5.6v-11.4zm0-45.7c0-3.2 2.4-5.7 5.7-5.7h11.3c3.2 0 5.7 2.4 5.7 5.7v11.3c.1 3.1-2.4 5.7-5.6 5.7H51.3c-3.1 0-5.7-2.5-5.7-5.6V188zm0-45.6c0-3.2 2.4-5.7 5.7-5.7h11.3c3.2 0 5.7 2.4 5.7 5.7v11.3c.1 3.1-2.4 5.7-5.6 5.7H51.3c-3.1 0-5.7-2.5-5.7-5.6v-.1-11.3zm0-45.6c0-3.2 2.4-5.7 5.7-5.7h11.3c3.2 0 5.7 2.4 5.7 5.7v11.3c.1 3.1-2.4 5.7-5.6 5.7H51.3c-3.1 0-5.7-2.5-5.7-5.6v-.1-11.3zm0-45.6c0-3.2 2.4-5.7 5.7-5.7h11.3c3.2 0 5.7 2.4 5.7 5.7v11.3c.1 3.1-2.4 5.7-5.6 5.7H51.3c-3.1 0-5.7-2.5-5.7-5.6V51.2z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Kazakhstan +77</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.331h512v341.337H0z"></path><path d="M0 85.331h512v90.579H0z"></path><path fill="#496E2D" d="M0 336.089h512v90.568H0z"></path><path fill="#A2001D" d="M0 198.606h512v114.799H0z"></path><g fill="white"><path d="M323.265 139.803l-25.583-11.809L256 222.376l-41.682-94.382-25.583 11.809 51.749 116.191-51.749 116.192 25.583 11.808L256 289.613l41.682 94.381 25.583-11.808-51.749-116.192z"></path><path d="M273.376 150.931C263.472 140.115 256 133.898 256 133.898s-7.472 6.216-17.376 17.032v210.127C248.528 371.873 256 378.091 256 378.091s7.472-6.216 17.376-17.033V150.931z"></path></g><g fill="#A2001D"><path d="M209.04 191.226v129.535c10.465 18.542 23.274 33.742 32.872 43.818V147.408c-9.599 10.076-22.408 25.275-32.872 43.818zM302.96 191.226c-10.465-18.543-23.274-33.742-32.872-43.818V364.58c9.599-10.077 22.407-25.276 32.872-43.818V191.226z"></path></g><path d="M302.96 191.226v129.535c10.594-18.774 18.784-40.973 18.784-64.767s-8.19-45.993-18.784-64.768zM209.04 191.226v129.535c-10.594-18.774-18.784-40.973-18.784-64.767s8.19-45.993 18.784-64.768z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Kenya +254</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 450 300"><path fill="#CE1126" d="M0 0h450v300H0V0z"></path><g fill="#FCD116"><circle cx="227.6" cy="161.2" r="56.2"></circle><path d="M254.1 73.4l-23.7 26 28.6 6.5zM202.6 73.6l-4.8 33.1 28.5-8zM296.9 100.3l-34.7 8.5 20.1 23.7zM158.6 98.5l15.5 32.7 20.2-22.7zM317.6 143.8l-34.4-9.9 5.6 29.5zM135.6 141.2l31.9 19.8 5.2-27.7z"></path></g><path fill="#003F87" d="M0 175h450v125H0V175z"></path><path fill="white" d="M0 267c15 0 30 13 45 13s30-13 45-13 30 13 45 13 30-13 45-13 30 13 45 13 30-13 45-13 30 13 45 13 30-13 45-13 30 13 45 13 30-13 45-13v-21c-15 0-30 13-45 13s-30-13-45-13-30 13-45 13-30-13-45-13-30 13-45 13-30-13-45-13-30 13-45 13-30-13-45-13-30 13-45 13-30-13-45-13v21zm0-43c15 0 30 13 45 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md:!w-45 !w-auto pl-spacing8 text-sm">Kiribati +686</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#91DC5A" d="M0 85.331h512v341.337H0z"></path><path fill="white" d="M0 85.331h512v341.337H0z"></path><g fill="#0052B4"><path d="M0 85.331h512v57.188H0zM0 369.48h512v57.177H0z"></path></g><path fill="#D80027" d="M0 165.215h512v181.582H0z"></path><circle fill="white" cx="190.33" cy="255.994" r="65.668"></circle><path fill="#D80027" d="M190.332 190.332l14.734 45.346h47.757l-38.65 28.028 14.849 45.481-38.69-28.16-38.631 28.107 14.79-45.428-38.616-28.028h47.722z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Korea, Democratic People's Republic of Korea +850</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 600"><path fill="white" d="M0 0h900v600H0z"></path><g transform="rotate(-56.31)"><g stroke="black" stroke-width="25"><path d="M-75 228.3H75m-150 37.5H75m-150 37.5H75M-75 778.3H75m-150 37.5H75m-150 37.5H75"></path></g><path stroke="white" stroke-width="12.5" d="M0 753.3v125"></path><circle fill="#ca163a" cy="540.8" r="150"></circle><path fill="#0e4896" d="M0 390.8c-41.4 0-75 33.6-75 75s33.6 75 75 75 75 33.6 75 75-33.6 75-75 75c-82.8 0-150-67.2-150-150s67.2-150 150-150z"></path></g><g stroke="black" stroke-width="25"><path d="M231.56 535.73l-83.205-124.808M262.76 514.928l-83.205-124.807m114.407 104.006l-83.205-124.808M689.187 230.644l-83.205-124.807M720.39 209.843L637.184 85.036m114.407 104.006L668.386 64.234"></path></g><path stroke="white" stroke-width="12.5" d="M205.6 462.897l31.202-20.8m389.981-259.989l36.444-24.296m31.202-20.801l31.202-20.801"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Korea, Republic of South Korea +82</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.33"><path fill="#0052B4" d="M0 0h512v341.34H0z"></path><g fill="white"><path d="M220.72 42.63l7.95 16.11 17.77 2.58-12.86 12.54 3.04 17.7-15.9-8.36-15.9 8.36 3.03-17.7-12.86-12.54 17.78-2.58zM291.28 42.57l7.95 16.1 17.78 2.59-12.86 12.53 3.03 17.71-15.9-8.36-15.9 8.36 3.04-17.71-12.86-12.53 17.77-2.59zM353.36 53.93l7.95 16.11 17.77 2.58-12.86 12.54 3.04 17.7-15.9-8.35-15.9 8.35 3.04-17.7-12.87-12.54 17.78-2.58zM416.37 72.23l7.95 16.11 17.77 2.59-12.86 12.53 3.04 17.71-15.9-8.36-15.9 8.36 3.03-17.71-12.86-12.53 17.78-2.59zM158.64 53.93l7.95 16.11 17.78 2.58-12.87 12.54 3.04 17.7-15.9-8.35-15.9 8.35 3.04-17.7-12.86-12.54 17.77-2.58zM95.63 72.23l7.95 16.11 17.78 2.59-12.86 12.53 3.03 17.71-15.9-8.36-15.9 8.36 3.04-17.71-12.86-12.53 17.77-2.59z"></path></g><path fill="#FFDA44" d="M217.53 259.33l-27.22-13.61-27.22-54.43h27.22l27.22-27.22 13.61-27.22 27.22-13.61 13.61 13.61 27.22 13.61v13.61l13.61 13.61 40.83 27.22L340 245.73l-40.83 40.83-13.61-27.22-40.83 27.22v27.22l-13.61-13.61-13.59-40.84z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Kosovo +383</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 342"><g fill="#D80027"><path d="M0 0h513v342H0z"></path><circle cx="256" cy="170.7" r="170.7"></circle></g><path fill="#FFDA44" d="M382.4 170.7L330.8 195l27.5 50-56.1-10.7-7.1 56.6-39.1-41.7-39.1 41.7-7.1-56.6-56.1 10.7 27.5-50-51.6-24.3 51.6-24.3-27.5-50.1 56.1 10.8 7.1-56.7L256 92.1l39.1-41.7 7.1 56.7 56.1-10.8-27.5 50.1z"></path><circle fill="#D80027" cx="257.4" cy="170.7" r="71.6"></circle><g fill="#FFDA44"><path d="M214.2 170.7c-2.1 0-4.1.1-6.2.3.1 12 4.4 22.9 11.6 31.5 3.8-10.3 9.5-19.6 16.7-27.7-6.9-2.7-14.3-4.1-22.1-4.1zM240.8 217.2c5.2 1.9 10.8 2.9 16.6 2.9 5.8 0 11.4-1 16.6-2.9-2.8-11.1-8.7-21-16.6-28.8-7.9 7.8-13.8 17.7-16.6 28.8zM300.2 146c-8.5-14.8-24.5-24.7-42.8-24.7-18.3 0-34.2 9.9-42.8 24.7 15.6.1 30.2 4.3 42.8 11.6 12.6-7.3 27.2-11.6 42.8-11.6zM278.5 174.8c7.2 8 12.9 17.4 16.7 27.7 7.2-8.5 11.5-19.5 11.6-31.5-2-.2-4.1-.3-6.2-.3-7.7 0-15.2 1.4-22.1 4.1z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Kyrgyzstan +996</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#0052B4" d="M0 0h513v342H0z"></path><g fill="#D80027"><path d="M0 .1h513v90.7H0zM0 251.3h513V342H0z"></path></g><circle fill="white" cx="256.5" cy="171" r="65.9"></circle></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Laos +856</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><g fill="#A2001D"><path class="prefix__st1" d="M0 0h513v127.6H0zM0 214.4h513V342H0z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Latvia +371</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><g fill="#D80027"><path d="M0 .2h513v90.7H0zM.5 251.3H513V342H.5z"></path></g><path fill="#6DA544" d="M290.3 193.5L256 130.7l-34.3 62.8h25.7v17.2h17.2v-17.2z"></path><path fill="#14AF5A" d="M241.3 213.1c4.4-4.4 4.4-11.6-.1-16l4.7 4.7c-5.2-4.7-12.2-6.6-19.1-5.3l-23.5 5.9c-6.1 1.5-6.8-.4-1.8-4.2l27.1-20.3c5.1-3.8 4.2-6.9-2.3-6.9h-11c-6.4 0-7-2.3-1.5-5.1l25.3-12.7c5.6-2.8 5.1-5.1-1.5-5.1h-11c-6.4 0-7.4-3.1-2.3-6.9l27.1-20.3c5.6-3.8 12.9-3.8 18.5 0l27.1 20.3c5.1 3.8 4.2 6.9-2.3 6.9h-11c-6.4 0-7 2.3-1.5 5.1l25.3 12.7c5.6 2.8 5.1 5.1-1.5 5.1h-11c-6.4 0-7.4 3.1-2.3 6.9l27.1 20.3c5.1 3.8 4.4 5.7-1.8 4.2l-23.5-5.9c-6.8-1.3-13.9.6-19.1 5.3l4.7-4.7c-4.4 4.4-4.5 11.5-.1 16l6.8 6.8c4.4 4.4 3.1 8-3.3 8h-45.8c-6.2 0-7.7-3.6-3.3-8 .1.1 6.9-6.8 6.9-6.8z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Lebanon +961</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><path fill="#0052B4" d="M0 0h513v114H0z"></path><path fill="#6DA544" d="M0 227.6h513v114H0z"></path><path d="M245.2 171l7.7-23.1c2-5.9 5.1-6 7.1 0l7.7 23.1 19.4 29.1c1.7 2.6 1.3 6.3-1.2 8 0 0-6.9 8-29.5 8s-29.5-8-29.5-8c-2.4-2-2.9-5.4-1.2-8l19.5-29.1z"></path><path d="M256.5 171c-12.5 0-22.6-10.1-22.6-22.6 0-12.5 10.1-22.6 22.6-22.6s22.6 10.1 22.6 22.6c0 12.5-10.2 22.6-22.6 22.6zm0 0c6.2 0 11.3-16.3 11.3-22.6 0-6.2-5.1-11.3-11.3-11.3-6.2 0-11.3 5.1-11.3 11.3 0 6.3 5 22.6 11.3 22.6z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Lesotho +266</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 91.476h512v341.337H0z"></path><g fill="#D80027"><path d="M0 91.476h512v31.031H0zM0 153.539h512v31.031H0zM0 215.603h512v31.031H0zM0 277.666h512v31.031H0zM0 339.729h512v31.031H0zM0 401.793h512v31.031H0z"></path></g><path fill="#0052B4" d="M0 79.177h256v167.457H0z"></path><path fill="white" d="M127.999 118.382l11.05 34.01h35.764l-28.932 21.021 11.05 34.012-28.932-21.021-28.933 21.021 11.053-34.012-28.932-21.021h35.762z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Liberia +231</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path d="M0 85.337h512v341.326H0z"></path><path fill="#D80027" d="M0 85.337h512v113.775H0z"></path><path fill="#496E2D" d="M0 312.888h512v113.775H0z"></path><g fill="white"><path d="M281.424 236.026l8.962 12.35 14.513-4.706-8.975 12.339 8.961 12.349-14.509-4.724-8.976 12.34.01-15.258-14.51-4.725 14.514-4.706z"></path><path d="M256.965 286.868c-17.048 0-30.868-13.821-30.868-30.868s13.821-30.868 30.868-30.868a30.742 30.742 0 0114.684 3.71c-6.851-6.698-16.218-10.833-26.556-10.833-20.982 0-37.992 17.01-37.992 37.992s17.01 37.992 37.992 37.992c10.338 0 19.706-4.135 26.556-10.833a30.738 30.738 0 01-14.684 3.708z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Libya +218</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#D80027" d="M0 0h513v342H0z"></path><path fill="#0052B4" d="M0 0h513v171H0z"></path><path fill="#FFDA44" d="M149.3 98.1c0-14-11.3-25.3-25.3-25.3-6.5 0-12.4 2.4-16.9 6.4V64.4h8.4V47.5h-8.4v-8.4H90.3v8.4h-8.4v16.9h8.4v14.9c-4.5-4-10.4-6.4-16.9-6.4-14 0-25.3 11.3-25.3 25.3 0 7.5 3.3 14.2 8.4 18.8v14.9h84.3V117c5.3-4.7 8.5-11.5 8.5-18.9z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Liechtenstein +423</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#6DA544" d="M0 85.337h512v341.326H0z"></path><path fill="#FFDA44" d="M0 85.337h512v113.775H0z"></path><path fill="#D80027" d="M0 312.888h512v113.775H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Lithuania +370</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#D80027" d="M0 85.337h512v113.775H0z"></path><path fill="#338AF3" d="M0 312.888h512v113.775H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Luxembourg +352</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#496E2D" d="M0 85.331h512v341.337H0z"></path><path fill="white" d="M285.682 248.878c-4.19 0-8.166.836-11.861 2.164 2.023-4.509 3.379-9.527 3.379-14.885 0-21.201-21.201-37.101-21.201-37.101s-21.201 15.901-21.201 37.101c0 5.357 1.356 10.375 3.379 14.885-3.693-1.328-7.671-2.164-11.861-2.164-21.201 0-37.101 21.201-37.101 21.201s15.901 21.201 37.101 21.201c12.429 0 23.031-7.286 29.682-13.315 6.65 6.03 17.251 13.315 29.682 13.315 21.201 0 37.101-21.201 37.101-21.201s-15.899-21.201-37.099-21.201z"></path><g fill="#FFDA44"><path d="M256 152.111l4.38 13.476h14.171l-11.464 8.332 4.376 13.476-11.463-8.33-11.463 8.33 4.376-13.476-11.464-8.332h14.171zM202.112 175.683l8.425 7.585 9.818-5.667-4.61 10.355 8.423 7.588-11.274-1.185-4.611 10.355-2.358-11.088-11.275-1.185 9.818-5.669zM162.662 215.132l11.09 2.358 5.668-9.818 1.186 11.274 11.089 2.358-10.357 4.61 1.186 11.274-7.587-8.423-10.357 4.61 5.669-9.818zM309.889 175.683l-8.425 7.585-9.818-5.667 4.611 10.355-8.425 7.588 11.275-1.185 4.61 10.355 2.359-11.088 11.275-1.185-9.818-5.669zM349.338 215.132l-11.089 2.358-5.669-9.818-1.186 11.274-11.088 2.358 10.357 4.61-1.185 11.274 7.586-8.423 10.357 4.61-5.669-9.818z"></path></g><g fill="white"><path d="M256 350.642c16.84 0 32.363-5.619 44.816-15.073h-89.63c12.451 9.454 27.974 15.073 44.814 15.073zM187.977 306.12a74.138 74.138 0 008.85 15.073h118.345a74.13 74.13 0 008.85-15.073H187.977z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Macau +853</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#6DA544" d="M512 426.666V85.329H0v341.337h512z"></path><path fill="#D80027" d="M512 85.331H0v170.666h512V85.331z"></path><path fill="white" d="M0 85.334h181.793v341.337H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Madagascar +261</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.337h512v341.326H0z"></path><path d="M0 85.337h512v113.775H0z"></path><path fill="#496E2D" d="M0 312.888h512v113.775H0z"></path><path fill="#D80027" d="M307.01 166.957l-20.842-9.804 11.099-20.186-22.634 4.329-2.868-22.864L256 135.248l-15.764-16.816-2.869 22.864-22.633-4.329 11.099 20.186-20.843 9.804z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Malawi +265</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="white" d="M0 0h512v341.3H0z"></path><g fill="#D80027"><path d="M0 42.7h512v42.7H0zM0 128h512v42.7H0zM0 213.3h512V256H0zM0 298.7h512v42.7H0z"></path></g><path fill="#0052B4" d="M0 0h256v170.7H0z"></path><g fill="#FFDA44"><path d="M141.1 134.8c-28 0-45.9-24.8-45.9-49.5 0-24.8 17.9-49.5 45.9-49.5 8.7 0 18.1 1 25.3 4.9-11.2-11-26.6-17.8-43.6-17.8-34.4 0-62.4 27.9-62.4 62.4s27.9 62.4 62.4 62.4c17 0 32.3-6.8 43.6-17.8-7.1 3.9-16.5 4.9-25.3 4.9z"></path><path d="M171 49.7l9 18.8 20.3-4.7-9.1 18.8 16.4 12.9-20.4 4.6.1 20.9-16.3-13.1-16.2 13.1v-20.9l-20.3-4.6 16.3-12.9-9.1-18.8 20.3 4.7z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Malaysia +60</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.331h512v341.333H0z"></path><path fill="#6DA544" d="M144.696 174.375h222.609v163.25H144.696z"></path><path fill="white" d="M283.484 304.226c-26.637 0-48.232-21.594-48.232-48.232s21.594-48.232 48.232-48.232c8.306 0 16.12 2.1 22.943 5.797-10.703-10.467-25.341-16.927-41.494-16.927-32.784 0-59.362 26.577-59.362 59.362s26.578 59.362 59.362 59.362c16.154 0 30.791-6.461 41.494-16.927-6.822 3.698-14.636 5.797-22.943 5.797z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Maldives +960</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.331h512v341.337H0z"></path><path fill="#6DA544" d="M0 85.331h170.663v341.337H0z"></path><path fill="#D80027" d="M341.337 85.331H512v341.337H341.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Mali +223</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.331h512v341.326H0z"></path><path fill="#D80027" d="M256 85.331h256v341.337H256z"></path><path fill="#ACABB1" d="M208.231 138.671v-21.334h-21.332v21.334h-21.334v21.332h21.334v21.334h21.332v-21.334h21.334v-21.332z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Malta +356</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.337h512v341.326H0z"></path><g fill="white"><path d="M233.839 185.115l-20.844 9.803 11.1 20.187-22.633-4.33-2.868 22.864-15.765-16.816-15.766 16.816-2.867-22.864-22.634 4.33 11.1-20.187-20.843-9.803 20.843-9.805-11.1-20.185 22.633 4.328 2.869-22.864 15.765 16.816 15.765-16.816 2.868 22.864 22.634-4.328-11.1 20.186zM426.917 85.337L0 421.52v3.762L503.756 85.337z"></path></g><path fill="#FF9811" d="M512 85.337h-8.244L0 425.282v1.381h3.723L512 136.998z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Marshall Islands +692</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.331h512v341.337H0z"></path><g fill="white"><path d="M512 233.734v44.521H278.261v148.402h-44.522V278.255H0v-44.521h233.739V85.331h44.522v148.403z"></path><path d="M386.607 175.885a4.119 4.119 0 014.115-4.114h8.816c13.936 0 25.274-11.337 25.274-25.273 0-13.935-11.337-25.273-25.274-25.273h-8.372c-2.733-2.052-6.399-3.318-10.443-3.318-8.436 0-15.273 5.471-15.273 12.219 0 6.683 6.707 12.104 15.029 12.209l-.003.049h19.062c2.27 0 4.115 1.845 4.115 4.115s-1.845 4.114-4.115 4.114h-8.816c-13.936 0-25.273 11.337-25.273 25.273 0 13.935 11.336 25.273 25.273 25.273h34.09V180h-34.09a4.12 4.12 0 01-4.115-4.115zM108.346 175.885a4.119 4.119 0 014.115-4.114h8.816c13.936 0 25.274-11.337 25.274-25.273 0-13.935-11.337-25.273-25.274-25.273h-8.372c-2.733-2.052-6.399-3.318-10.443-3.318-8.436 0-15.273 5.471-15.273 12.219 0 6.683 6.707 12.104 15.029 12.209l-.003.049h19.062c2.27 0 4.115 1.845 4.115 4.115s-1.845 4.114-4.115 4.114h-8.816c-13.936 0-25.273 11.337-25.273 25.273 0 13.935 11.336 25.273 25.273 25.273h34.09V180h-34.09a4.12 4.12 0 01-4.115-4.115zM386.607 368.809a4.119 4.119 0 014.115-4.114h8.816c13.936 0 25.274-11.337 25.274-25.273 0-13.935-11.337-25.273-25.274-25.273h-8.372c-2.733-2.052-6.399-3.318-10.443-3.318-8.436 0-15.273 5.471-15.273 12.219 0 6.683 6.707 12.104 15.029 12.209l-.003.049h19.062c2.27 0 4.115 1.845 4.115 4.115s-1.845 4.114-4.115 4.114h-8.816c-13.936 0-25.273 11.337-25.273 25.273 0 13.935 11.336 25.273 25.273 25.273h34.09v-21.159h-34.09a4.119 4.119 0 01-4.115-4.115zM108.346 368.809a4.119 4.119 0 014.115-4.114h8.816c13.936 0 25.274-11.337 25.274-25.273 0-13.935-11.337-25.273-25.274-25.273h-8.372c-2.733-2.052-6.399-3.318-10.443-3.318-8.436 0-15.273 5.471-15.273 12.219 0 6.683 6.707 12.104 15.029 12.209l-.003.049h19.062c2.27 0 4.115 1.845 4.115 4.115s-1.845 4.114-4.115 4.114h-8.816c-13.936 0-25.273 11.337-25.273 25.273 0 13.935 11.336 25.273 25.273 25.273h34.09v-21.159h-34.09a4.119 4.119 0 01-4.115-4.115z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Martinique +596</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#496E2D" d="M0 85.331h512v341.337H0z"></path><g fill="#FFDA44"><path d="M256 298.851c-45.956 0-84.348-32.298-93.767-75.429A96.288 96.288 0 00160 243.994c0 53.02 42.979 96 96 96s96-42.98 96-96c0-7.066-.785-13.942-2.233-20.572-9.419 43.131-47.811 75.429-93.767 75.429z"></path><path d="M255.999 171.994l8.935 27.502h28.918l-23.394 16.996 8.936 27.503-23.395-16.998-23.394 16.998 8.937-27.503-23.394-16.996h28.915z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Mauritania +222</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.331h512v341.326H0z"></path><path fill="#D80027" d="M0 85.331h512v85.337H0z"></path><path fill="#0052B4" d="M0 170.657h512v85.337H0z"></path><path fill="#6DA544" d="M0 341.331h512v85.337H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Mauritius +230</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 90 60"><path fill="white" d="M0 0h90v60H0z"></path><path stroke="#7f7f7f" stroke-width=".25" fill="#ABABAB" d="M12.8 38.5s4 1.6 1.2-.5c-2.4-1.7-5 2.4-5 5.1s1.2 7 7.5 7c7.6 0 11.4-5.7 11.4-11.4 0-4.8-3.7-13.5-6.5-14.6-3.1-1.2-6.7-3.5-6.8-5 0-.5 1.4-.1 3.3.9 3.1 1.7 6.6 2.5 6.6 1.4s-2.9-3.1-4-4.6c-1.2-1.6-.9-5.5-3-5.5-7.6 0-9.9 7.7-7 11.7 1.9 2.6-4.3 1-4.3 1s0 5.3 3.2 7.3c3 1.8 4.8 3.9 4.8 3.9s-.2-4.6.5-3.9c.6.7 11.1 4.5 10.3 12-.3 3-4.5 5.4-8.5 5.2-4-.2-6.8-2.4-6.4-5.4.2-4.2 2.7-4.6 2.7-4.6zM77.2 38.5s-4 1.6-1.2-.5c2.4-1.8 5.1 2.3 5.1 5.1s-1.2 7-7.5 7c-7.6 0-11.4-5.7-11.4-11.4 0-4.8 3.7-13.5 6.5-14.6 3.1-1.2 6.7-3.5 6.8-5 0-.5-1.4-.1-3.3.9-3.1 1.7-6.6 2.5-6.6 1.4s2.9-3.1 4-4.6c1.2-1.6.9-5.5 3-5.5 7.6 0 9.9 7.7 7 11.7-1.9 2.6 4.3 1 4.3 1s0 5.3-3.2 7.3c-3 1.8-4.8 3.9-4.8 3.9s.2-4.6-.5-3.9c-.6.7-11.1 4.5-10.3 12 .3 3 4.5 5.4 8.5 5.2 4-.2 6.8-2.4 6.4-5.4-.3-4.2-2.8-4.6-2.8-4.6z"></path><path fill="#DE393A" d="M31 28.8v14c0 1.9 2.1 1.6 2.1 1.6h9.3c1.2 0 2.6 2.3 2.6 2.3s1.4-2.3 2.5-2.3h9.6s2 .2 2-1.8V28.7H31z"></path><path fill="#3951A3" d="M31 13.1h28v15.7H31z"></path><path fill="white" d="M50.1 16.5c-.4 2.4-2.5 4.2-5.1 4.2-2.5 0-4.6-1.8-5.1-4.2-.5.9-.8 1.9-.8 3 0 3.3 2.6 5.9 5.9 5.9 3.3 0 5.9-2.6 5.9-5.9 0-1.1-.3-2.1-.8-3z"></path><circle fill="#FEE05F" cx="39.1" cy="36.5" r="3"></circle><circle fill="#FEE05F" cx="50.9" cy="36.5" r="3"></circle></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Mayotte +262</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M341.334 85.33H0v341.332h512V85.33z"></path><path fill="#6DA544" d="M0 85.333h170.663V426.67H0z"></path><path fill="white" d="M170.663 85.333h170.663V426.67H170.663z"></path><path fill="#6DA544" d="M208 255.996c0 26.509 21.491 48 48 48s48-21.491 48-48v-16h-96v16z"></path><path fill="#FF9811" d="M320 223.996h-48c0-8.836-7.164-16-16-16s-16 7.164-16 16h-48c0 8.836 7.697 16 16.533 16H208c0 8.836 7.164 16 16 16 0 8.836 7.164 16 16 16h32c8.836 0 16-7.164 16-16 8.836 0 16-7.164 16-16h-.533c8.836 0 16.533-7.163 16.533-16z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Mexico +52</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#338AF3" d="M0 0h512v341.3H0z"></path><g fill="white"><path d="M256 37.9l10.1 31.2H299l-26.6 19.3 10.2 31.2-26.6-19.3-26.6 19.3 10.2-31.2L213 69.1h32.9zM123.2 170.7l31.2-10.2v-32.8l19.3 26.6 31.2-10.2-19.3 26.6 19.3 26.5-31.2-10.1-19.3 26.5v-32.8zM256 303.5l-10.1-31.2H213l26.6-19.3-10.2-31.3L256 241l26.6-19.3-10.2 31.3 26.6 19.3h-32.9zM388.8 170.7l-31.2 10.1v32.8l-19.3-26.5-31.2 10.1 19.3-26.5-19.3-26.6 31.2 10.2 19.3-26.6v32.8z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Micronesia, Federated States of Micronesia +691</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#FFDA44" d="M0 0h513v342H0z"></path><path fill="#D80027" d="M342 0h171v342H342z"></path><path fill="#0052B4" d="M0 0h171v342H0z"></path><path fill="#AF7F59" d="M206.2 129.1h33.2L256 79.3l16.6 49.8h33.2v99.6L256 262l-49.8-33.2v-99.7zm33.2 33.3v49.8h33.2v-49.8h-33.2z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Moldova +373</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.34h512v341.326H0z"></path><path fill="#D80027" d="M512 85.334v166.69L0 256.175V85.334z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Monaco +377</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.331h512v341.326H0z"></path><g fill="#A2001D"><path d="M330.207 85.331H512v341.337H330.207zM0 85.331h181.793v341.337H0z"></path></g><g fill="#FFDA44"><path d="M113.163 267.125h14.84v59.359h-14.84zM53.793 267.125h14.84v59.359h-14.84z"></path><circle cx="90.902" cy="289.386" r="14.84"></circle><circle cx="90.902" cy="237.44" r="7.421"></circle><path d="M76.054 311.647h29.682v14.84H76.054zM76.054 252.288h29.682v14.84H76.054zM90.897 185.502l5.255 16.173h17.006l-13.757 9.996 5.252 16.173-13.756-9.996-13.756 9.996 5.251-16.173-13.756-9.996h17.005z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Mongolia +976</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.337h512v341.326H0z"></path><path fill="#A2001D" d="M0 115.011h512v281.978H0z"></path><g fill="#FFDA44"><path d="M218.899 211.478h74.202v-29.681l-14.84 7.42L256 166.957l-22.261 22.26-14.84-7.42zM322.783 256h-37.088a17 17 0 002.3-8.543c0-9.458-7.668-17.124-17.124-17.124-6.534 0-12.209 3.661-15.096 9.041-2.887-5.38-8.562-9.041-15.096-9.041-9.456 0-17.124 7.666-17.124 17.124 0 3.114.846 6.026 2.3 8.543h-36.636c0 11.349 9.885 20.549 21.232 20.549h-.685c0 9.31 6.192 17.168 14.68 19.694l-16.678 16.678 15.741 15.741 22.329-22.329c.875.321 1.78.577 2.714.752l-13.492 30.464c6.466 2.629 13.531 4.088 20.941 4.088s14.475-1.46 20.941-4.088l-13.492-30.464a17.108 17.108 0 002.714-.752l22.329 22.329 15.741-15.741-16.678-16.678c8.488-2.526 14.68-10.385 14.68-19.694h-.685c11.347 0 21.232-9.2 21.232-20.549z"></path></g><path fill="#6DA544" d="M256 267.13l-24.116 11.131v22.261L256 315.362l24.116-14.84v-22.261z"></path><path fill="#0052B4" d="M231.88 256h48.228v29.682H231.88z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Montenegro +382</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.333h512V426.67H0z"></path><path fill="#338AF3" d="M334.222 191.996v78.221c0 38.103 49.777 49.779 49.777 49.779s49.778-11.675 49.778-49.779v-78.221h-99.555z"></path><path fill="#A2001D" d="M334.222 270.217c0 38.103 49.777 49.779 49.777 49.779s49.778-11.675 49.778-49.779h-99.555z"></path><path d="M405.334 227.552H391.11v-14.223h-14.222v14.223h-14.222v14.223h14.222v42.665h14.222v-42.665h14.224z"></path><path fill="white" d="M256 85.333v30.553l-45.167 25.099H256v59.359h-59.103L256 233.179v22.817h-26.68l-73.494-40.826v40.826h-55.652v-48.573l-87.43 48.573H0v-30.554l45.167-25.098H0v-59.359h59.103L0 108.139V85.333h26.68l73.494 40.825V85.333h55.652v48.572l87.43-48.572z"></path><path fill="#D80027" d="M144 85.33h-32v69.332H0v32h112v69.334h32v-69.334h112v-32H144z"></path><path fill="#0052B4" d="M155.826 200.344L256 255.996v-15.737l-71.847-39.915z"></path><path fill="white" d="M155.826 200.344L256 255.996v-15.737l-71.847-39.915z"></path><g fill="#D80027"><path d="M155.826 200.344L256 255.996v-15.737l-71.847-39.915zM71.846 200.344L0 240.259v15.737l100.174-55.652z"></path></g><path fill="#0052B4" d="M100.174 140.982L0 85.33v15.737l71.847 39.915z"></path><path fill="white" d="M100.174 140.982L0 85.33v15.737l71.847 39.915z"></path><g fill="#D80027"><path d="M100.174 140.982L0 85.33v15.737l71.847 39.915zM184.154 140.982L256 101.067V85.33l-100.174 55.652z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Montserrat +1664</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.337v341.326h512V85.337z"></path><path fill="#20661b" d="M352 226.484h-73.337L256 156.738l-22.663 69.748H160l59.331 43.107-22.663 69.749L256 296.232l59.332 43.107-22.663-69.749L352 226.484zm-116.063 37.711l7.663-23.585h24.8l7.663 23.585v.001L256 278.772l-20.063-14.577zm27.873-37.711h-15.619L256 202.447l7.81 24.037zm24.269 28.982l-4.827-14.856h25.274l-20.447 14.856zm-59.331-14.856l-4.827 14.856-20.447-14.856h25.274zm-5.211 61.748l7.81-24.036 12.636 9.181-20.446 14.855zm44.479-14.856l12.636-9.181 7.81 24.036-20.446-14.855z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Morocco +212</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#FFDA44" d="M0 322.783h512v103.88H0z"></path><path fill="#496E2D" d="M0 85.337h512v104.515H0z"></path><path d="M0 210.877h512v89.656H0z"></path><path fill="#A2001D" d="M256 256.006L0 426.668V85.331z"></path><path fill="#FFDA44" d="M83.477 195.132l15.107 46.498h48.894l-39.554 28.739 15.107 46.499-39.554-28.738-39.555 28.738 15.11-46.499-39.554-28.739H68.37z"></path><path fill="white" d="M39.268 256h88.42v40.578h-88.42z"></path><path d="M144.443 209.479l-14.347-14.347-46.618 46.618-46.617-46.618-14.347 14.347 46.658 46.577-46.658 46.658 14.347 14.154 46.617-46.534 46.618 46.534 14.347-14.154-46.659-46.658z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Mozambique +258</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#6DA544" d="M0 85.337h512v341.326H0z"></path><path fill="#FFDA44" d="M0 85.337h512v113.775H0z"></path><path fill="#D80027" d="M0 312.888h512v113.775H0z"></path><path fill="white" d="M384 227.261h-97.783L256 134.265l-30.217 92.997H128l79.108 57.475-30.217 92.998L256 320.925l79.108 56.81-30.217-92.998L384 227.261z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Myanmar +95</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#496E2D" d="M0 85.337h512v341.326H0z"></path><path fill="#0052B4" d="M0 426.663V85.337h512"></path><path fill="white" d="M512 152.222V85.337H411.67L0 359.778v66.885h100.33z"></path><path fill="#A2001D" d="M512 85.337v40.125L60.193 426.663H0v-40.125L451.807 85.337z"></path><path fill="#FFDA44" d="M187.737 189.212l-22.741 10.696 12.11 22.024-24.693-4.724-3.129 24.945-17.199-18.347-17.2 18.347-3.129-24.945-24.693 4.723 12.109-22.023-22.739-10.696 22.74-10.697-12.11-22.022 24.693 4.722 3.13-24.944 17.199 18.347 17.2-18.347 3.128 24.944 24.693-4.722-12.108 22.024z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Namibia +264</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.337h512v341.326H0z"></path><path fill="#FFDA44" d="M0 239.994h512v32H0z"></path><path fill="white" d="M174.802 341.329l-19.124 8.996 10.184 18.521-20.767-3.973-2.631 20.978L128 370.422l-14.465 15.429-2.63-20.978-20.767 3.973 10.183-18.521-19.123-8.996 19.124-8.995-10.184-18.52 20.766 3.971 2.632-20.978L128 312.236l14.465-15.429 2.63 20.978 20.767-3.971-10.183 18.521z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Nauru +674</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#0052B4" d="M0 426.663V85.337l280.419 174.75H87.61l183.576 166.576z"></path><path fill="#D80027" d="M244.769 249.888L10.199 103.71v312.754h234.57L61.193 249.888z"></path><g fill="white"><path d="M98.003 324.433l-14.589-6.863 7.77-14.13-15.844 3.03-2.008-16.005-11.035 11.772-11.036-11.772-2.008 16.005-15.843-3.031 7.77 14.131-14.591 6.863 14.591 6.862-7.77 14.13 15.844-3.029 2.007 16.004 11.036-11.772L73.332 358.4l2.008-16.004 15.843 3.03-7.769-14.13zM88.268 191.662l-10.612-4.991 5.651-10.278-11.523 2.205-1.461-11.641-8.026 8.561-8.026-8.561-1.46 11.641-11.525-2.205 5.652 10.278-10.613 4.991 25.972 5.194z"></path><path d="M93.462 191.662c0 17.212-13.953 31.165-31.165 31.165s-31.165-13.953-31.165-31.165"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Nepal +977</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#A2001D" d="M0 85.337h512v113.775H0z"></path><path fill="#0052B4" d="M0 312.888h512v113.775H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Netherlands +31</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 640 426.7"><path fill="#009543" d="M0 293h640v133.7H0V293z"></path><path fill="#ED4135" d="M0 132h640v161.3H0V132z"></path><path fill="#0035AD" d="M0 0h640v133.3H0V0z"></path><circle fill="#FAE600" stroke="black" stroke-width="5.3" cx="240" cy="213.3" r="157.3"></circle><path d="M307.9 354.5l-31.8 12-36.1 4.2-37.8-2.4-35.9-15.5s28.6-29.3 40.7-33.5c8.6-3 22.4-3.7 22.4-3.7V122l-.3-66H246l-.5 67.5v191.7s15.3 1.2 22.1 4.1c11.3 4.9 40.3 35.2 40.3 35.2z"></path><path d="M212.727 102.375l42.955-21.418 5.577 11.187-42.955 21.417z"></path><ellipse cx="237.8" cy="280.5" rx="16.8" ry="26.5"></ellipse><circle cx="237.4" cy="143.4" r="20.9"></circle><ellipse cx="238.4" cy="211.1" rx="19.9" ry="12.1"></ellipse><path d="M213.8 177h47v10h-47zM213.8 234h47v10h-47z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">New Caledonia +687</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><g fill="#338AF3"><path d="M0 85.337h512v113.775H0zM0 312.888h512v113.775H0z"></path></g><path fill="#FFDA44" d="M256 214.447c-22.949 0-41.553 18.603-41.553 41.553S233.05 297.553 256 297.553c22.949 0 41.553-18.603 41.553-41.553S278.949 214.447 256 214.447zm0 65.298c-13.114 0-23.745-10.631-23.745-23.745s10.631-23.745 23.745-23.745 23.745 10.631 23.745 23.745-10.631 23.745-23.745 23.745z"></path><path fill="#0052B4" d="M276.563 261.936L256 256l-20.563 5.936-6.855 11.873h54.836z"></path><path fill="#338AF3" d="M256 226.32l-13.709 23.744L256 256l13.709-5.936z"></path><path fill="#6DA544" d="M235.437 261.936h41.126l-6.854-11.872h-27.418z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Nicaragua +505</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#FF9811" d="M0 85.337h512v113.775H0z"></path><path fill="#6DA544" d="M0 312.888h512v113.775H0z"></path><circle fill="#FF9811" cx="256" cy="256" r="32"></circle></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Niger +227</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.331h512v341.337H0z"></path><g fill="#6DA544"><path d="M0 85.331h170.663v341.337H0zM341.337 85.331H512v341.337H341.337z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Nigeria +234</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.334h512v341.337H0z"></path><path fill="white" d="M0 85.334h256v170.663H0z"></path><g fill="#D80027"><path d="M144 85.33h-32v69.333H0v32h112v69.334h32v-69.334h112v-32H144z"></path><path d="M0 85.329v15.083l57.377 38.251H80z"></path></g><g fill="#2E52B2"><path d="M0 107.951v30.712h46.069zM96 85.331v48.913L22.628 85.331z"></path></g><path fill="#D80027" d="M256 85.329v15.083l-57.377 38.251H176z"></path><g fill="#2E52B2"><path d="M256 107.951v30.712h-46.069zM160 85.331v48.913l73.372-48.913z"></path></g><path fill="#D80027" d="M0 85.329v15.083l57.377 38.251H80z"></path><g fill="#2E52B2"><path d="M0 107.951v30.712h46.069zM96 85.331v48.913L22.628 85.331z"></path></g><path fill="#D80027" d="M256 85.329v15.083l-57.377 38.251H176z"></path><g fill="#2E52B2"><path d="M256 107.951v30.712h-46.069zM160 85.331v48.913l73.372-48.913z"></path></g><path fill="#D80027" d="M0 255.997v-15.082l57.377-38.252H80z"></path><g fill="#2E52B2"><path d="M0 233.376v-30.713h46.069zM96 255.994v-48.912l-73.372 48.912z"></path></g><path fill="#D80027" d="M256 255.997v-15.082l-57.377-38.252H176z"></path><g fill="#2E52B2"><path d="M256 233.376v-30.713h-46.069zM160 255.994v-48.912l73.372 48.912z"></path><circle cx="128" cy="170.66" r="22.627"></circle></g><g fill="#FFDA44"><path d="M128 154.663l3.97 12.222h12.854l-10.398 7.556 3.971 12.222L128 179.109l-10.398 7.554 3.972-12.222-10.398-7.556h12.853zM128 219.803l2.364 7.278h7.653l-6.19 4.498 2.364 7.278-6.191-4.498-6.191 4.498 2.364-7.278-6.19-4.498h7.652zM128 102.469l2.364 7.278h7.653l-6.19 4.498 2.364 7.278-6.191-4.498-6.191 4.498 2.364-7.278-6.19-4.498h7.652zM197.931 161.136l2.365 7.277h7.653l-6.192 4.499 2.365 7.279-6.191-4.498-6.191 4.498 2.365-7.279-6.191-4.499h7.652zM58.069 161.136l2.364 7.277h7.653l-6.191 4.499 2.364 7.279-6.19-4.498-6.191 4.498 2.365-7.279-6.192-4.499h7.653z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Niue +683</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.331h512v341.337H0z"></path><g fill="#6DA544"><path d="M0 85.331h170.663v341.337H0zM341.337 85.331H512v341.337H341.337zM304 311.995l-48-152.001-48 152.001h36v39.999h24v-39.999z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Norfolk Island +672</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.333h512V426.67H0z"></path><g fill="#D80027"><path d="M383.875 426.662L256 252.286l26.827 174.376zM133.565 85.33L256 252.286 230.314 85.33zM229.171 426.662L256 252.286 128.124 426.662zM0 85.33V212.9l256 39.386L28.333 85.33zM0 426.662h18.212L256 252.286 0 291.67zM256 252.286L512 212.9V85.33h-28.331zM281.686 85.33L256 252.286 378.434 85.33zM512 426.662V291.671l-256-39.385 237.787 174.376z"></path><circle cx="256" cy="252.29" r="59.359"></circle></g><circle fill="#FFDA44" cx="256" cy="252.29" r="44.522"></circle></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">North Macedonia +389</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 750 500"><path fill="#0071BC" d="M0 0h750v500H0V0z"></path><g fill="white" stroke="black" stroke-width="1.9"><circle cx="375" cy="245" r="225" fill="white"></circle><circle cx="375" cy="245" r="165" fill="#0071BC"></circle></g><g stroke="black"><path fill="#8C8A8C" stroke-width="1.9" d="M444.7 450c.7 11-7.8 20-18.8 20H323.6c-11 0-19.5-9-19-20l16.7-325c.6-11 10-20 21-20h61.4c11 0 20.5 9 21.2 20l19.8 325z"></path><path fill="white" stroke-width="2" stroke-linejoin="round" d="M373 114l30 93h97l-78 56 29 92-78-56-78 57 30-93-79-57h97l30-92z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Northern Mariana Islands +1670</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.334h512v341.337H0z"></path><path fill="white" d="M512 295.883H202.195v130.783H122.435V295.883H0V216.111h122.435V85.329H202.195v130.782H512V277.329z"></path><path fill="#2E52B2" d="M512 234.666v42.663H183.652v149.337h-42.674V277.329H0v-42.663h140.978V85.329h42.674v149.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Norway +47</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><g fill="#D80027"><path d="M0 85.331h512v341.326H0z"></path><path d="M0 85.331h512v341.337H0z"></path></g><g fill="white"><path d="M189.746 160.439l-15.739-15.741-10.494 10.494-10.493-10.494-15.741 15.741 10.494 10.493-10.495 10.494 15.74 15.741 10.494-10.494 10.495 10.494 15.739-15.741-10.494-10.494zM211.478 85.331H512v111.315H211.478z"></path></g><path fill="#6DA544" d="M211.478 315.353H512v111.304H211.478z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Oman +968</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><g fill="white"><path d="M393.508 170.516l17.512 18.875 23.363-10.821-12.541 22.487 17.513 18.876-25.263-4.978-12.539 22.488-3.073-25.564-25.263-4.978 23.363-10.82z"></path><path d="M0 85.343h512v341.326H0z"></path></g><path fill="#496E2D" d="M128 85.331h384v341.337H128z"></path><g fill="white"><path d="M361.909 298.793c-31.037 22.426-74.378 15.446-96.804-15.592-22.427-31.038-15.446-74.379 15.593-96.804 9.677-6.992 20.55-11.125 31.613-12.563-21.283-3.183-43.777 1.613-62.598 15.211-38.2 27.602-46.792 80.944-19.191 119.145 27.601 38.199 80.944 46.792 119.145 19.189 18.82-13.598 30.436-33.448 34.096-54.655-4.839 10.05-12.176 19.076-21.854 26.069zM360.58 172.889l17.484 18.842 23.322-10.802-12.519 22.447 17.483 18.844-25.219-4.968-12.519 22.45-3.067-25.521-25.22-4.969 23.323-10.802z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Pakistan +92</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#338AF3" d="M0 85.331h512v341.337H0z"></path><circle fill="#FFDA44" cx="218.902" cy="255.994" r="74.207"></circle></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Palau +680</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path d="M0 85.337h512v113.775H0z"></path><path fill="#6DA544" d="M0 312.888h512v113.775H0z"></path><path fill="#D80027" d="M256 256.006L0 426.668V85.331z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Palestine +970</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path d="M0 85.333h512V426.67H0z"></path><path fill="#A2001D" d="M0 85.33h512v341.332"></path><g fill="white"><path d="M204.631 326.488l2.762 8.504h8.941l-7.233 5.255 2.763 8.502-7.233-5.254-7.233 5.254 2.762-8.502-7.233-5.255h8.94zM181.797 244.866l4.605 14.172h14.901l-12.056 8.757 4.605 14.172-12.055-8.759-12.055 8.759 4.606-14.172-12.056-8.757h14.901zM181.797 348.749l4.604 14.173h14.902l-12.057 8.757 4.606 14.173-12.055-8.759-12.055 8.759 4.604-14.173-12.054-8.757h14.899zM225.363 281.967l4.606 14.172h14.901l-12.056 8.758 4.605 14.172-12.056-8.759-12.054 8.759 4.606-14.172-12.056-8.758h14.901zM138.23 281.967l4.606 14.172h14.899l-12.054 8.758 4.603 14.172-12.054-8.759-12.055 8.759 4.605-14.172-12.055-8.758h14.9z"></path></g><path fill="#FFDA44" d="M376.526 204.163c-7.628-7.628-17.538-12.133-28.189-12.908l31.88-24.795c-12.698-12.698-29.714-18.431-46.319-17.218a44.31 44.31 0 00-11.396-19.511l-12.593 25.186a18.47 18.47 0 00-3.148-4.197c-7.245-7.245-18.991-7.244-26.234 0s-7.245 18.99 0 26.234a18.536 18.536 0 004.197 3.148l-25.186 12.593a44.303 44.303 0 0019.519 11.399c-1.217 16.606 4.511 33.619 17.209 46.317L324.12 214.6a11.053 11.053 0 017.807-3.202c2.973 0 5.768 1.158 7.87 3.26a11.055 11.055 0 013.26 7.87c0 2.974-1.158 5.768-3.26 7.87l10.494 10.494c4.905-4.905 7.607-11.428 7.607-18.364 0-5.675-1.81-11.071-5.153-15.534a29.492 29.492 0 0113.288 7.662c11.573 11.572 11.573 30.403 0 41.975l10.494 10.494c8.409-8.409 13.039-19.59 13.039-31.481-.001-11.892-4.632-23.072-13.04-31.481z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Papua New Guinea +675</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#D80027" d="M0 85.337h512v113.775H0z"></path><path fill="#0052B4" d="M0 312.888h512v113.775H0z"></path><path fill="#6DA544" d="M289.579 216.738l-12.592 12.592c5.37 5.372 8.693 12.792 8.693 20.988 0 16.392-13.289 29.68-29.68 29.68-16.392 0-29.68-13.289-29.68-29.68 0-8.195 3.322-15.616 8.693-20.988l-12.592-12.592c-8.594 8.594-13.91 20.466-13.91 33.579 0 26.228 21.261 47.489 47.489 47.489s47.489-21.261 47.489-47.489c0-13.112-5.316-24.985-13.91-33.579z"></path><path fill="#FFDA44" d="M256 232.51l4.421 13.605h14.304l-11.573 8.408 4.421 13.604L256 259.719l-11.573 8.408 4.421-13.604-11.573-8.408h14.304z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Paraguay +595</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.331h512v341.326H0z"></path><g fill="#D80027"><path d="M0 85.331h170.663v341.337H0zM341.337 85.331H512v341.337H341.337z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Peru +51</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#0052B4" d="M512 85.337V256H256L0 85.337z"></path><path fill="#D80027" d="M512 256v170.663H0L256 256z"></path><g fill="#FFDA44"><path d="M161.908 256l-27.288-12.835 14.532-26.428-29.632 5.668-3.755-29.933-20.64 22.015-20.639-22.015-3.755 29.933-29.631-5.669 14.531 26.428L28.343 256l27.288 12.835L41.1 295.263l29.633-5.668 3.753 29.933 20.639-22.015 20.64 22.015 3.755-29.933 29.631 5.669-14.532-26.427zM21.789 117.607l9.081 12.696 14.879-4.714-9.268 12.56 9.081 12.694-14.809-4.932-9.268 12.559.117-15.608-14.809-4.934 14.88-4.712zM21.789 353.53l9.081 12.696 14.879-4.714-9.268 12.56 9.081 12.695-14.809-4.933-9.268 12.558.117-15.607-14.809-4.934 14.88-4.712zM210.395 235.569l-9.081 12.695-14.879-4.713 9.268 12.559-9.081 12.696 14.809-4.933 9.268 12.558-.117-15.607 14.809-4.934-14.88-4.713z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Philippines +63</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.333h512V426.67H0z"></path><path fill="#ACABB1" d="M400.696 219.822L384 225.387l-16.696-5.565-5.565-13.913 5.565-13.913h33.392l-5.566 13.913z"></path><path fill="#338AF3" d="M345.043 219.822v61.217c0 29.821 38.957 38.957 38.957 38.957s38.957-9.137 38.957-38.957v-61.217h-77.914z"></path><path fill="#6DA544" d="M348.555 295.541C358.131 313.927 384 319.996 384 319.996s25.869-6.069 35.445-24.455L384 236.518l-35.445 59.023z"></path><path fill="#FFDA44" d="M422.957 280.421L384 219.822l-38.957 60.599v.618c0 5.518 1.337 10.328 3.512 14.503L384 240.405l35.445 55.137c2.175-4.175 3.512-8.983 3.512-14.503v-.618z"></path><path fill="white" d="M256 85.333v30.553l-45.167 25.099H256v59.359h-59.103L256 233.179v22.817h-26.68l-73.494-40.826v40.826h-55.652v-48.573l-87.43 48.573H0v-30.554l45.167-25.098H0v-59.359h59.103L0 108.139V85.333h26.68l73.494 40.825V85.333h55.652v48.572l87.43-48.572z"></path><path fill="#D80027" d="M144 85.33h-32v69.332H0v32h112v69.334h32v-69.334h112v-32H144z"></path><path fill="#0052B4" d="M155.826 200.344L256 255.996v-15.737l-71.847-39.915z"></path><path fill="white" d="M155.826 200.344L256 255.996v-15.737l-71.847-39.915z"></path><g fill="#D80027"><path d="M155.826 200.344L256 255.996v-15.737l-71.847-39.915zM71.846 200.344L0 240.259v15.737l100.174-55.652z"></path></g><path fill="#0052B4" d="M100.174 140.982L0 85.33v15.737l71.847 39.915z"></path><path fill="white" d="M100.174 140.982L0 85.33v15.737l71.847 39.915z"></path><g fill="#D80027"><path d="M100.174 140.982L0 85.33v15.737l71.847 39.915zM184.154 140.982L256 101.067V85.33l-100.174 55.652z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Pitcairn +872</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><g fill="white"><path d="M0 85.337h512v341.326H0z"></path><path d="M0 85.337h512V256H0z"></path></g><path fill="#D80027" d="M0 256h512v170.663H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Poland +48</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.337h512v341.326H0z"></path><path fill="#6DA544" d="M196.641 85.337v341.326H0V85.337z"></path><circle fill="#FFDA44" cx="196.641" cy="256" r="64"></circle><path fill="#D80027" d="M160.638 224v40.001c0 19.882 16.118 36 36 36s36-16.118 36-36V224h-72z"></path><path fill="white" d="M196.638 276c-6.617 0-12-5.383-12-12v-16h24.001v16c-.001 6.616-5.385 12-12.001 12z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Portugal +351</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><g fill="#D80027"><path d="M0 85.337h512V153.6H0zM0 221.863h512v68.263H0zM0 358.4h512v68.263H0z"></path></g><path fill="#0052B4" d="M256 256.006L0 426.668V85.331z"></path><path fill="white" d="M83.477 195.132l15.107 46.498h48.894l-39.554 28.739 15.107 46.499-39.554-28.738-39.555 28.738 15.11-46.499-39.554-28.739H68.37z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Puerto Rico +1939</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#751A46" d="M2.216 86.076H512v339.848H2.216z"></path><path fill="white" d="M209.455 154.969l-50.236 25.267 50.236 25.257-50.236 25.267 50.236 25.257-50.236 25.266 50.236 25.257-50.236 25.268 50.236 25.257-50.236 25.267 50.236 25.268-36.45 18.33H0V86.07h172.939l36.516 18.364-50.236 25.267z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Qatar +974</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 26.666 640 426.666"><g fill-rule="evenodd" stroke-width="1pt"><path fill="white" d="M0 0h640v480H0z"></path><path fill="#00267f" d="M0 0h213.3v480H0z"></path><path fill="#f31830" d="M426.7 0H640v480H426.7z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Reunion +262</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.331h512v341.326H0z"></path><path fill="#0052B4" d="M0 85.331h170.663v341.337H0z"></path><path fill="#D80027" d="M341.337 85.331H512v341.337H341.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Romania +40</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.33v341.332h512V85.33z"></path><path fill="#0052B4" d="M0 85.333h512V426.67H0z"></path><path fill="white" d="M0 85.333h512v113.775H0z"></path><path fill="#D80027" d="M0 312.884h512v113.775H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Russia +7</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#338AF3" d="M0 85.331h512v341.337H0z"></path><path fill="#FFDA44" d="M0 255.994h512v81.619H0z"></path><path fill="#496E2D" d="M0 337.614h512v89.043H0z"></path><path fill="#FFDA44" d="M278.261 185.209l20.844 9.804-11.099 20.186 22.632-4.33 2.868 22.865 15.765-16.816 15.766 16.816 2.867-22.865 22.633 4.33-11.099-20.186 20.843-9.804-20.844-9.805 11.1-20.185-22.633 4.329-2.868-22.864-15.765 16.816-15.766-16.816-2.867 22.864-22.634-4.329 11.1 20.187z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Rwanda +250</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.33"><path fill="white" d="M0 0h512v341.33H0z"></path><path fill="#E6BC00" d="M157.31 199.76s-9.04 43.93-19.31 40.39c-10.62-3.54-17.53-18.76-17.53-18.76l-14.52 21.24s38.18 8.48 41.01 5.47c1.22-1.14 8.21-15.1 10.34-26.05v-22.29zm-56.13 60.57s-2.48 20.18-1.06 22.66c1.24 2.3 39.48 11.33 39.48 11.33s-24.96 16.46-29.74 20.54L91.8 284.94l-.71-24.61h10.09zM112.51 94.64s39.65 41.6 40.36 45.5c.71 3.72-4.25 3.19-4.25 3.19s-44.79-37.53-49.92-41.07c-5.31-3.55 13.81-7.62 13.81-7.62z"></path><path fill="#ADADAD" d="M99.41 104.73s16.99-.71 16.64-11.51c-.35-10.62-11.15-14.87-19.12-12.39-7.97 2.3-23.01 13.45-13.63 35.05 9.38 21.42 23.37 29.39 26.2 47.8 0 0-5.46 9.86-19.12.35-16.9-11.77-6.2-38.24-10.44-44.96-4.25-7.08-40.95-38.92-40.95-38.92s-30.24 39.37-18 74.92c16.95 49.21 51.74 31.98 64.61 36.76 0 0-42.13 61.96-49.57 67.09 0 0 24.08 8.32 47.8-18.76 0 0 5.84 9.74 7.08 20.18h10.27c4.78-26.2 51.51-64.26 49.92-82.32-1.77-21.25-49.21-49.39-51.69-73.29z"></path><path fill="#E6BC00" d="M359.17 201.27s8.96 42.43 19.23 38.89c10.62-3.54 17.53-18.76 17.53-18.76l14.52 21.24s-37 8.48-39.83 5.47c-1.21-1.14-9.32-13.79-11.52-24.66l.07-22.18zm56.05 59.06s2.48 20.18 1.06 22.66c-1.24 2.3-39.48 11.33-39.48 11.33s24.96 16.46 29.74 20.54l18.06-29.92.71-24.61h-10.09zM403.89 94.64s-39.65 41.6-40.36 45.5c-.71 3.72 4.25 3.19 4.25 3.19s44.79-37.53 49.92-41.07c5.14-3.55-13.81-7.62-13.81-7.62z"></path><path fill="#125ECC" d="M157.31 87.06H359.1v145.46c0 16.06-9.69 21.39-21.91 31.85l-45.92 39.41c-18.25 15.62-47.91 15.57-66.07 0l-46.01-39.43c-12.08-10.35-21.88-15.71-21.88-31.82V87.06z"></path><path fill="#FFE600" d="M200.55 147.71c-7.96 0-14.41-6.45-14.41-14.41s6.45-14.41 14.41-14.41 14.41 6.45 14.41 14.41-6.45 14.41-14.41 14.41zm57.65-3c-7.96 0-14.41-6.45-14.41-14.41s6.45-14.41 14.41-14.41 14.41 6.45 14.41 14.41-6.45 14.41-14.41 14.41zm57.65 3c-7.96 0-14.41-6.45-14.41-14.41s6.45-14.41 14.41-14.41 14.41 6.45 14.41 14.41-6.45 14.41-14.41 14.41zM214.96 274.43c-7.96 0-14.41-6.45-14.41-14.41s6.45-14.41 14.41-14.41 14.41 6.45 14.41 14.41c.01 7.96-6.45 14.41-14.41 14.41zm43.24 14.42c-7.96 0-14.41-6.45-14.41-14.41s6.45-14.41 14.41-14.41 14.41 6.45 14.41 14.41c0 7.95-6.45 14.41-14.41 14.41zm43.24-14.42c-7.96 0-14.41-6.45-14.41-14.41s6.45-14.41 14.41-14.41 14.41 6.45 14.41 14.41-6.45 14.41-14.41 14.41z"></path><path fill="#D60537" d="M157.31 175.36H359.1v57.65H157.31v-57.65z"></path><path fill="#EACE00" d="M142.9 43.82s57.65-14.41 115.31-14.41 115.31 14.41 115.31 14.41l-14.41 57.65s-50.45-14.41-100.89-14.41-100.89 14.41-100.89 14.41L142.9 43.82z"></path><path fill="#7A6920" d="M258.2 72.65c-7.96 0-14.41-6.45-14.41-14.41s6.45-14.41 14.41-14.41 14.41 6.45 14.41 14.41-6.45 14.41-14.41 14.41zm57.65 5c-7.96 0-14.41-6.45-14.41-14.41s6.45-14.41 14.41-14.41 14.41 6.45 14.41 14.41-6.45 14.41-14.41 14.41zm-115.3 0c-7.96 0-14.41-6.45-14.41-14.41s6.45-14.41 14.41-14.41 14.41 6.45 14.41 14.41-6.45 14.41-14.41 14.41z"></path><path fill="#ADADAD" d="M365.08 178.02c-1.59 18.06 45.14 56.12 49.92 82.32h10.27c1.24-10.44 7.08-20.18 7.08-20.18 23.72 27.09 47.8 18.76 47.8 18.76-7.44-5.13-49.57-67.09-49.57-67.09 12.88-4.78 47.67 12.45 64.61-36.76 12.24-35.55-18-74.92-18-74.92s-36.7 31.84-40.95 38.92c-4.25 6.73 6.46 33.2-10.44 44.96-13.66 9.51-19.12-.35-19.12-.35 2.83-18.41 16.82-26.38 26.2-47.8 9.38-21.6-5.66-32.75-13.63-35.05-7.97-2.48-18.76 1.77-19.12 12.39-.35 10.8 16.64 11.51 16.64 11.51-2.48 23.9-49.92 52.04-51.69 73.29z"></path><circle fill="white" cx="258.2" cy="204.19" r="16.93"></circle></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Saint Barthelemy +590</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#0052B4" d="M0 0h512v341.3H0z"></path><path fill="white" d="M256 0v117.4h-46.1l46.1 30.7v22.6h-22.6L160 121.8v48.9H96v-48.9l-73.4 48.9H0v-22.6l46.1-30.7H0v-64h46.1L0 22.7V0h22.6L96 48.9V0h64v48.9L233.4 0z"></path><g fill="#D80027"><path d="M144 0h-32v69.4H0v32h112v69.3h32v-69.3h112v-32H144z"></path><path d="M0 0v15.1l57.4 38.3H80zM256 0v15.1l-57.4 38.3H176z"></path></g><path fill="#2E52B2" d="M256 22.7v30.7h-46.1z"></path><g fill="#D80027"><path d="M0 0v15.1l57.4 38.3H80zM256 0v15.1l-57.4 38.3H176z"></path></g><path fill="#2E52B2" d="M256 22.7v30.7h-46.1z"></path><g fill="#D80027"><path d="M0 170.7v-15.1l57.4-38.2H80zM256 170.7v-15.1l-57.4-38.2H176z"></path></g><path fill="#29DBFF" d="M449 139.7c-.1 44.4-7.2 92.1-65 114.9-57.8-22.8-64.9-70.5-65-114.9h130z"></path><path fill="#ffda44" d="M449 139.7c0-16.7-.9-32.9-.5-47.1C426.9 83 398.4 81 383.9 81s-42.9 2-64.6 11.6c.4 14.2-.5 30.4-.5 47.1H449z"></path><path fill="#BF521B" d="M369.5 204.5l.3 10.3-12.8.2 4.9 13.2h-17.3c-18-20.2-23.4-42.4-24.9-68.1l9.1-9.7 8.3 14.3 10.8-12.8 7 7.8.8 15.7 13.8 29.1z"></path><path fill="#474747" d="M436.6 192.5l-8.6 18.3h-47l-29.2-19.5 25.7 10.5h25.1l3.7-6.5 7.2.2 2-3z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Saint Helena, Ascension and Tristan Da Cunha +290</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#D80027" d="M0 0h513v342H0z"></path><path fill="#6DA544" d="M512 0H0v342"></path><path fill="#FFDA44" d="M307.7 0L0 194.5V342h206.9L513 148.5V0z"></path><path d="M513 0H385.2L0 249.4V341l126.2 1L513 91.6z"></path><g fill="white"><path d="M141.1 187l31.2 24 32.3-22.2-13.1 37 31.1 23.9-39.2-1.1-13.2 37-11.1-37.6-39.2-1.1 32.3-22.2zM310.6 70.8l31.2 23.9 32.3-22.2-13.1 37 31.1 23.9-39.2-1.1-13.2 37-11.1-37.6-39.2-1.1 32.4-22.2z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Saint Kitts and Nevis +1869</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="#55B2FF" d="M0 0h513v342H0z"></path><path fill="#F3F3F3" d="M148.5 298.1h216l-108-254.2z"></path><path fill="#333" d="M186 272.7l70.5-160.3L327 272.7z"></path><path fill="#FFDA44" d="M148.5 298.1h216l-108-101.7z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Saint Lucia +1758</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 108 72"><path d="M0 0h108v72H0z" fill="#003787"></path><path d="M0 0h108L60 48v24H48V48z" fill="white"></path><circle cx="54" cy="30" r="8" fill="#f9d90f"></circle><path d="M44 30h20L54 48z" fill="white"></path><path d="M54 48L38 33h32z" fill="#cf142b"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Saint Martin +590</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 26.666 640 426.666"><g fill-rule="evenodd" stroke-width="1pt"><path fill="white" d="M0 0h640v480H0z"></path><path fill="#00267f" d="M0 0h213.3v480H0z"></path><path fill="#f31830" d="M426.7 0H640v480H426.7z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Saint Pierre and Miquelon +508</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.331h512v341.337H0z"></path><path fill="#338AF3" d="M0 85.331h170.663v341.337H0z"></path><g fill="#6DA544"><path d="M341.337 85.331H512v341.337H341.337zM214.261 283.82l-33.393-50.086 33.392-50.087 33.392 50.087zM297.739 283.82l-33.391-50.086 33.391-50.087 33.393 50.087zM256 350.603l-33.391-50.087L256 250.429l33.391 50.087z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Saint Vincent and the Grenadines +1784</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.331h512v341.337H0z"></path><path fill="#0052B4" d="M0 85.331h256v170.663H0z"></path><g fill="white"><path d="M165.483 181.79l2.764 8.504h8.939l-7.232 5.254 2.763 8.503-7.234-5.255-7.233 5.255 2.763-8.503-7.233-5.254h8.94zM120.579 115.007l4.606 14.173h14.9l-12.055 8.757 4.605 14.171-12.056-8.758-12.054 8.758 4.605-14.171-12.056-8.757h14.901zM165.101 129.848l4.606 14.172h14.9l-12.055 8.757 4.604 14.173-12.055-8.76-12.054 8.76 4.604-14.173-12.055-8.757h14.9zM129.909 189.211l4.606 14.172h14.9l-12.055 8.758 4.604 14.171-12.055-8.759-12.054 8.759 4.604-14.171-12.055-8.758h14.9zM90.899 152.108l4.605 14.173h14.9l-12.055 8.757 4.604 14.173-12.054-8.76-12.055 8.76 4.604-14.173-12.055-8.757h14.9z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Samoa +685</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#338AF3" d="M0 85.34h512v341.326H0z"></path><path fill="white" d="M512 85.334v166.69L0 256.175V85.334z"></path><path fill="#6DA544" d="M323.744 203.099L256 270.843l-67.744-67.744a81.156 81.156 0 00-13.879 45.483v22.261c0 35.744 23.097 66.193 55.148 77.213-4.277 8.385-3.556 18.848 2.712 26.671l24.258-19.439 24.258 19.439c6.342-7.915 7.011-18.534 2.564-26.968 31.614-11.261 54.308-41.485 54.308-76.916v-22.261a81.174 81.174 0 00-13.881-45.483z"></path><path fill="#FFDA44" d="M256 330.206c-32.732 0-59.362-26.63-59.362-59.362v-22.261c0-32.733 26.63-59.363 59.362-59.363s59.362 26.63 59.362 59.362v22.261c0 32.733-26.63 59.363-59.362 59.363z"></path><path fill="#338AF3" d="M293.101 270.843v-22.261c0-20.458-16.643-37.101-37.101-37.101s-37.101 16.643-37.101 37.101v22.261L256 278.264l37.101-7.421z"></path><path fill="#6DA544" d="M218.899 270.843c0 20.458 16.643 37.101 37.101 37.101s37.101-16.643 37.101-37.101h-74.202z"></path><path fill="#FFDA44" d="M300.522 189.22c0-12.295-9.966-22.261-22.261-22.261a22.173 22.173 0 00-14.84 5.672v-13.093h7.421v-14.84h-7.421v-7.421h-14.84v7.421h-7.421v14.84h7.421v13.093a22.177 22.177 0 00-14.841-5.672c-12.295 0-22.261 9.966-22.261 22.261 0 6.591 2.867 12.512 7.421 16.589v13.093h74.203v-13.093c4.552-4.077 7.419-9.997 7.419-16.589z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">San Marino +378</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.337h512v341.326H0z"></path><g fill="#6DA544"><path d="M0 85.337h512v113.775H0zM0 312.888h512v113.775H0z"></path></g><path fill="#D80027" d="M256 256.006L0 426.668V85.331z"></path><path d="M302.049 226.318l7.368 22.674h23.842l-19.288 14.016 7.366 22.674-19.288-14.015-19.287 14.015 7.366-22.674-19.288-14.016h23.842zM376.252 226.318l7.367 22.674h23.842l-19.288 14.016 7.367 22.674-19.288-14.015-19.288 14.015 7.367-22.674-19.288-14.016h23.842z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Sao Tome and Principe +239</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#6DA544" d="M0 85.331h512v341.337H0z"></path><g fill="white"><path d="M183.548 289.386c0 12.295 9.731 22.261 21.736 22.261h65.208c0 10.244 8.11 18.551 18.114 18.551h21.736c10.004 0 18.114-8.306 18.114-18.551v-22.261H183.548zM330.264 181.791v51.942c0 8.183-6.5 14.84-14.491 14.84v22.261c19.976 0 36.226-16.643 36.226-37.101v-51.942h-21.735zM174.491 233.734c0 8.183-6.5 14.84-14.491 14.84v22.261c19.976 0 36.226-16.643 36.226-37.101v-51.942H174.49v51.942z"></path><path d="M297.661 181.788h21.736v51.942h-21.736zM265.057 211.473c0 2.046-1.625 3.71-3.623 3.71-1.998 0-3.623-1.664-3.623-3.71v-29.682h-21.736v29.682c0 2.046-1.625 3.71-3.623 3.71s-3.623-1.664-3.623-3.71v-29.682h-21.736v29.682c0 14.32 11.376 25.971 25.358 25.971 5.385 0 10.38-1.733 14.491-4.677 4.11 2.944 9.106 4.677 14.491 4.677 1.084 0 2.15-.078 3.2-.215-1.54 6.499-7.255 11.345-14.068 11.345v22.261c19.976 0 36.226-16.643 36.226-37.101v-51.943h-21.736l.002 29.682z"></path><path d="M207.093 248.57h32.601v22.261h-32.601z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Saudi Arabia +966</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.331h512v341.326H0z"></path><path fill="#D80027" d="M330.207 85.331H512v341.337H330.207z"></path><g fill="#496E2D"><path d="M0 85.331h181.793v341.337H0zM255.999 196.632l14.733 45.347h47.685l-38.576 28.029 14.734 45.348-38.576-28.026-38.577 28.026 14.737-45.348-38.576-28.029h47.681z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Senegal +221</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.331h512v341.337H0z"></path><path fill="#D80027" d="M0 85.331h512v113.775H0z"></path><path fill="white" d="M0 312.882h512v113.775H0z"></path><path fill="#D80027" d="M129.468 181.793v85.136c0 48.429 63.267 63.267 63.267 63.267S256 315.356 256 266.929v-85.136H129.468z"></path><g fill="#FFDA44"><path d="M155.634 196.634h74.201v-29.681l-14.841 7.42-22.261-22.26-22.259 22.26-14.84-7.42zM241.16 278.782l-48.231-48.231-48.231 48.231 15.741 15.74 32.49-32.49 32.49 32.49z"></path></g><path fill="white" d="M241.16 233.734h-22.504a14.74 14.74 0 002.001-7.418c0-8.196-6.645-14.84-14.84-14.84-5.663 0-10.581 3.172-13.083 7.836-2.502-4.663-7.421-7.836-13.083-7.836-8.195 0-14.84 6.644-14.84 14.84 0 2.706.736 5.235 2.001 7.418h-22.114c0 8.196 7.139 14.84 15.334 14.84h-.494c0 8.196 6.644 14.84 14.84 14.84 0 7.257 5.211 13.286 12.094 14.576l-11.694 26.401a48.075 48.075 0 0018.149 3.544 48.079 48.079 0 0018.149-3.544l-11.694-26.401c6.883-1.29 12.094-7.319 12.094-14.576 8.196 0 14.84-6.644 14.84-14.84h-.494c8.199 0 15.338-6.644 15.338-14.84z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Serbia +381</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#FFDA44" d="M235.454 85.337L0 426.663 427.345 85.337z"></path><path fill="#6DA544" d="M512 329.393L0 426.663h512z"></path><path fill="#D80027" d="M512 85.337h-84.655L0 426.663l512-204.512z"></path><path fill="#0052B4" d="M0 85.337v341.326L235.454 85.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Seychelles +248</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#6DA544" d="M0 85.337h512v113.775H0z"></path><path fill="#338AF3" d="M0 312.888h512v113.775H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Sierra Leone +232</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.337h512v341.326H0z"></path><path fill="#D80027" d="M512 85.331v166.69L0 256.173V85.331z"></path><path fill="white" d="M256 256.006L0 426.668V85.331z"></path><g fill="#FFDA44"><path d="M59.621 256a59.546 59.546 0 00-.193 4.57c0 32.821 26.607 59.429 59.429 59.429s59.429-26.607 59.429-59.429c0-1.539-.078-3.061-.193-4.57H59.621z"></path><circle cx="118.862" cy="210.287" r="18.286"></circle></g><path fill="#D80027" d="M77.715 205.714v59.429c0 31.494 41.144 41.143 41.144 41.143s41.144-9.649 41.144-41.143v-59.429H77.715z"></path><path fill="#338AF3" d="M118.877 287.148c-7.632-2.746-22.876-9.767-22.876-22.006v-41.144h45.715v41.144c-.001 12.28-15.244 19.283-22.839 22.006z"></path><path fill="#F3F3F3" d="M128.001 246.856v-9.142l-9.144-4.571-9.142 4.571v9.142l-4.571 4.573v18.285h27.428v-18.285z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Sint Maarten +1721</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#0052B4" d="M0 196.641h512v118.717H0z"></path><path fill="#D80027" d="M0 315.359h512v111.304H0z"></path><path fill="white" d="M129.468 181.799v85.136c0 48.429 63.267 63.267 63.267 63.267S256 315.362 256 266.935v-85.136H129.468z"></path><path fill="#D80027" d="M146.126 184.294v81.941c0 5.472 1.215 10.64 3.623 15.485h85.97c2.408-4.844 3.623-10.012 3.623-15.485v-81.941h-93.216z"></path><path fill="white" d="M221.301 241.427h-21.425v-14.283h14.284v-14.283h-14.284v-14.284h-14.283v14.284h-14.282v14.283h14.282v14.283h-21.426v14.284h21.426v14.283h14.283v-14.283h21.425z"></path><path fill="#0052B4" d="M169.232 301.658c9.204 5.783 18.66 9.143 23.502 10.636 4.842-1.494 14.298-4.852 23.502-10.636 9.282-5.833 15.79-12.506 19.484-19.939a24.878 24.878 0 00-14.418-4.583c-1.956 0-3.856.232-5.682.657-3.871-8.796-12.658-14.94-22.884-14.94-10.227 0-19.013 6.144-22.884 14.94a25.048 25.048 0 00-5.682-.657 24.88 24.88 0 00-14.418 4.583c3.691 7.433 10.198 14.106 19.48 19.939z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Slovakia +421</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#0052B4" d="M0 199.112h512v113.775H0z"></path><path fill="#D80027" d="M0 312.888h512v113.775H0z"></path><path fill="white" d="M233.606 196.639v14.837c0 34.081-44.522 44.522-44.522 44.522s-44.522-10.44-44.522-44.522v-14.837l-.145-44.188 89.043-.266.146 44.454z"></path><path fill="#0052B4" d="M233.606 196.639v14.837c0 34.081-44.522 44.522-44.522 44.522s-44.522-10.44-44.522-44.522v-14.837l-.145-44.188 89.043-.266.146 44.454z"></path><path fill="white" d="M233.606 196.639v14.837c0 34.081-44.522 44.522-44.522 44.522s-44.522-10.44-44.522-44.522v-14.837l14.848 14.837 29.674-22.261 29.685 22.261 14.837-14.837z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Slovenia +386</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#496E2D" d="M0 85.334h512v341.337H0z"></path><path fill="#0052B4" d="M0 426.663V85.329h512"></path><path fill="#FFDA44" d="M0 396.494v30.169h45.255L512 115.499v-30.17h-45.255z"></path><g fill="white"><path d="M85.688 108.787l5.12 15.756h16.566l-13.403 9.737 5.12 15.757-13.403-9.738-13.405 9.738 5.12-15.757L64 124.543h16.567zM170.312 108.787l5.121 15.756H192l-13.403 9.737 5.12 15.757-13.405-9.738-13.403 9.738 5.12-15.757-13.403-9.737h16.566zM85.688 191.289l5.12 15.756h16.566l-13.403 9.738 5.12 15.757-13.403-9.739-13.405 9.739 5.12-15.757L64 207.045h16.567zM170.312 191.289l5.121 15.756H192l-13.403 9.738 5.12 15.757-13.405-9.739-13.403 9.739 5.12-15.757-13.403-9.738h16.566zM128 150.037l5.12 15.756h16.568l-13.405 9.738 5.12 15.758L128 181.55l-13.403 9.739 5.12-15.758-13.405-9.738h16.568z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Solomon Islands +677</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#338AF3" d="M0 85.331h512v341.337H0z"></path><path fill="white" d="M256 157.273l22.663 69.748H352l-59.332 43.106 22.664 69.749L256 296.769l-59.332 43.107 22.664-69.749L160 227.021h73.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Somalia +252</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path d="M114.024 256.001L0 141.926v228.17z"></path><path fill="#FFDA44" d="M161.192 256L0 94.7v47.226l114.024 114.075L0 370.096v47.138z"></path><path fill="#6DA544" d="M509.833 289.391c.058-.44.804-.878 2.167-1.318v-65.464H222.602L85.33 85.337H0V94.7L161.192 256 0 417.234v9.429h85.33l137.272-137.272h287.231z"></path><path fill="#0052B4" d="M503.181 322.783H236.433l-103.881 103.88H512v-103.88z"></path><path fill="#D80027" d="M503.181 189.217H512V85.337H132.552l103.881 103.88z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">South Africa +27</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#0052B4" d="M0 0h512v341.3H0z"></path><path fill="white" d="M256 0v117.4h-46.1l46.1 30.7v22.6h-22.6L160 121.8v48.9H96v-48.9l-73.4 48.9H0v-22.6l46.1-30.7H0v-64h46.1L0 22.7V0h22.6L96 48.9V0h64v48.9L233.4 0z"></path><path fill="#D80027" d="M144 0h-32v69.4H0v32h112v69.3h32v-69.3h112v-32H144z"></path><path fill="#2E52B2" d="M256 22.7v30.7h-46.1z"></path><path fill="#D80027" d="M0 170.7v-11l62.5-42.3h22.6L7.3 170.7zM7.3.1l77.8 53.2H62.5L0 11.1V.1zM256 .1v11l-62.5 42.3h-22.6L248.7.1zM248.7 170.7l-77.8-53.3h22.6l62.5 42.3v11z"></path><g><ellipse fill="white" cx="443.4" cy="233.6" rx="29" ry="43.5"></ellipse><ellipse fill="#FFCE00" cx="406.9" cy="317.7" rx="22" ry="9.3"></ellipse><ellipse fill="#FFCE00" cx="364" cy="317.7" rx="22" ry="9.3"></ellipse><path fill="#39B200" d="M342 190.1l43.4 86.9 43.5-86.9z"></path><ellipse fill="#9B9B9B" cx="327.5" cy="233.6" rx="29" ry="43.5"></ellipse><path fill="#757575" d="M371 175.6l-14.5 14.5h57.9l-14.5-14.5 14.5-43.5s-13-29-29-29-29 29-29 29l14.6 43.5z"></path><circle fill="#C6B56F" cx="385.4" cy="67" r="29"></circle><circle fill="#A54A00" cx="386" cy="88.7" r="29"></circle><circle fill="white" cx="443.4" cy="117.7" r="29"></circle><circle fill="#0049FF" cx="342.2" cy="146.7" r="29"></circle><circle fill="#0041F9" cx="429.8" cy="146.7" r="29"></circle><circle fill="#F7D71E" cx="386" cy="233.6" r="29"></circle><circle fill="#CEC851" cx="457.9" cy="190.1" r="29"></circle><circle fill="white" cx="385.4" cy="289.5" r="29"></circle><path fill="#7C0B29" d="M371 135.7l14.5-3.5 14.5 3.5c0 7.5-14.5 11-14.5 11s-14.5-3.5-14.5-11z"></path><circle fill="white" cx="327.5" cy="117.4" r="29"></circle></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">South Georgia and the South Sandwich Islands +500</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#496E2D" d="M0 322.783h512v103.88H0z"></path><path d="M0 85.337h512v104.515H0z"></path><path fill="#A2001D" d="M0 210.877h512v89.656H0z"></path><path fill="#0052B4" d="M256 256.006L0 426.668V85.331z"></path><path fill="#FFDA44" d="M73.178 209.188l20.831 29.067 34.084-10.83-21.207 28.795 20.83 29.069-33.939-11.271-21.208 28.794.234-35.762-33.94-11.273 34.083-10.83z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">South Sudan +211</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.331h512v341.337H0z"></path><g fill="#D80027"><path d="M0 85.331h512v113.775H0zM0 312.882h512v113.775H0z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Spain +34</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.329v341.337h512V85.329H0zm489.739 319.076h-267.13V107.59h267.13v296.815z"></path><path fill="#A2001D" d="M222.609 107.595h267.13V404.41h-267.13z"></path><path fill="#D80027" d="M22.261 107.595h200.348V404.41H22.261z"></path><path fill="#FFDA44" d="M200.348 85.334h22.261v341.337h-22.261z"></path><path fill="#6DA544" d="M22.261 107.595h89.043V404.41H22.261z"></path><path fill="#FF9811" d="M111.304 107.595h89.043V404.41h-89.043z"></path><g fill="#FFDA44"><path d="M358.675 250.438v-44.522c0-7.424-11.13-14.848-11.13-14.848s-11.13 7.424-11.13 14.848h-44.522v44.522h22.261v22.261c0 4.875.979 9.539 2.76 13.768l-10.184 8.493h-29.674V157.677c-12.299 0-22.261 9.973-22.261 22.261v96.467a22.19 22.19 0 007.413 16.584v35.361h14.848v-18.554h66.783v29.685H328.99v14.837h29.685v-29.685l13.601-14.837h44.288v29.685h-14.848v14.837h29.685v-29.685l13.601-14.837 12.552-40.259-11.038-19.1h-38.945c-14.169-.122-40.637.09-48.896.001z"></path><path d="M370.551 211.844v25.229h71.513v13.365h4.452v-17.817h-71.513v-16.325h75.965v-4.452zM222.609 107.595h22.261v22.261h-22.261zM467.478 107.595h22.261v22.261h-22.261zM222.609 382.138h22.261v22.261h-22.261zM467.478 382.138h22.261v22.261h-22.261z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Sri Lanka +94</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#D80027" d="M0 85.337h512v113.775H0z"></path><path d="M0 312.888h512v113.775H0z"></path><path fill="#496E2D" d="M0 426.668V85.331l256 170.675z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Sudan +249</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.331h512v341.337H0z"></path><path fill="#A2001D" d="M0 196.636h512v118.728H0z"></path><g fill="#6DA544"><path d="M0 352.462h512v74.207H0zM0 85.331h512v74.207H0z"></path></g><path fill="#FFDA44" d="M256.742 218.003l9.43 29.021h30.518L272 264.963l9.431 29.023-24.689-17.937-24.689 17.937 9.431-29.023-24.69-17.939h30.518z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Suriname +597</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.334h512v341.337H0z"></path><path fill="white" d="M512 295.883H202.195v130.783H122.435V295.883H0V216.111h122.435V85.329H202.195v130.782H512V277.329z"></path><path fill="#2E52B2" d="M512 234.666v42.663H183.652v149.337h-42.674V277.329H0v-42.663h140.978V85.329h42.674v149.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Svalbard and Jan Mayen +47</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.333h512V426.67H0z"></path><path fill="#FFDA44" d="M192 85.33h-64v138.666H0v64h128v138.666h64V287.996h320v-64H192z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Sweden +46</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.337h512v341.326H0z"></path><path fill="white" d="M356.174 222.609h-66.783v-66.783h-66.782v66.783h-66.783v66.782h66.783v66.783h66.782v-66.783h66.783z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Switzerland +41</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.331h512v341.337H0z"></path><path fill="#D80027" d="M0 85.331h512v113.775H0z"></path><path d="M0 312.882h512v113.775H0z"></path><g fill="#6DA544"><path d="M187.31 215.184l9.208 28.341h29.802l-24.11 17.518 9.209 28.342-24.109-17.516-24.11 17.516 9.209-28.342-24.109-17.518h29.801zM324.69 215.184l9.209 28.341H363.7l-24.109 17.518 9.209 28.342-24.11-17.516-24.109 17.516 9.209-28.342-24.11-17.518h29.802z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Syrian Arab Republic +963</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.337h512v341.326H0z"></path><path fill="#0052B4" d="M0 85.337h256V256H0z"></path><path fill="white" d="M186.435 170.669L162.558 181.9l12.714 23.125-25.927-4.961-3.286 26.192L128 206.993l-18.06 19.263-3.285-26.192-25.927 4.96 12.714-23.125-23.877-11.23 23.877-11.231-12.714-23.125 25.927 4.96 3.286-26.192L128 134.344l18.06-19.263 3.285 26.192 25.928-4.96-12.715 23.125z"></path><circle fill="#0052B4" cx="128" cy="170.674" r="29.006"></circle><path fill="white" d="M128 190.06c-10.692 0-19.391-8.7-19.391-19.391 0-10.692 8.7-19.391 19.391-19.391 10.692 0 19.391 8.7 19.391 19.391 0 10.691-8.699 19.391-19.391 19.391z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Taiwan +886</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#D80027" d="M0 85.337h512v113.775H0z"></path><path fill="#6DA544" d="M0 312.888h512v113.775H0z"></path><g fill="#FFDA44"><path d="M226.318 300.522h59.364v-25.23l-11.873 5.937L256 263.421l-17.809 17.808-11.873-5.937zM192.355 270.84l2.763 8.504h8.94l-7.233 5.255 2.763 8.502-7.233-5.255-7.234 5.255 2.763-8.502-7.233-5.255h8.94zM200.921 241.16l2.763 8.502h8.94l-7.233 5.255 2.763 8.504-7.233-5.256-7.234 5.256 2.763-8.504-7.233-5.255h8.94zM225.409 218.899l2.763 8.502h8.94l-7.233 5.255 2.763 8.504-7.233-5.256-7.234 5.256 2.763-8.504-7.233-5.255h8.94zM319.645 270.84l-2.763 8.504h-8.94l7.233 5.255-2.763 8.502 7.233-5.255 7.234 5.255-2.763-8.502 7.233-5.255h-8.94zM311.079 241.16l-2.763 8.502h-8.94l7.233 5.255-2.763 8.504 7.233-5.256 7.234 5.256-2.763-8.504 7.233-5.255h-8.94zM286.591 218.899l-2.763 8.502h-8.94l7.233 5.255-2.763 8.504 7.233-5.256 7.234 5.256-2.763-8.504 7.233-5.255h-8.94zM256 207.767l2.763 8.503h8.941l-7.234 5.256 2.763 8.502-7.233-5.254-7.233 5.254 2.763-8.502-7.234-5.256h8.941z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Tajikistan +992</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#338AF3" d="M0 85.337h512v341.326H0z"></path><path fill="#6DA544" d="M0 426.663V85.337h512"></path><path fill="#FFDA44" d="M512 152.222V85.337H411.67L0 359.778v66.885h100.33z"></path><path d="M512 85.337v40.125L60.193 426.663H0v-40.125L451.807 85.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Tanzania, United Republic of Tanzania +255</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.334h512V426.66H0z"></path><path fill="#0052B4" d="M0 194.056h512v123.882H0z"></path><g fill="#D80027"><path d="M0 85.334h512v54.522H0zM0 372.143h512v54.522H0z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Thailand +66</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.337h512v341.326H0z"></path><path fill="#FFDA44" d="M256 256L0 90.691v44.242L155.826 256 0 377.067v44.242z"></path><path d="M0 90.691v330.618L189.217 256z"></path><path fill="white" d="M44.184 213.36l24.912 23.577 30.121-16.41-14.723 30.98 24.911 23.575-34.012-4.43L60.67 301.63l-6.296-33.716-34.012-4.43 30.119-16.408z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Timor-Leste +670</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.337h512v341.326H0z"></path><g fill="#496E2D"><path d="M0 85.337h512V153.6H0zM0 358.4h512v68.263H0zM0 221.863h512v68.263H0z"></path></g><path fill="#D80027" d="M0 85.337h204.054v204.054H0z"></path><path fill="white" d="M102.026 133.938l13.26 40.812h42.916l-34.718 25.226 13.26 40.814-34.718-25.224-34.719 25.224 13.263-40.814-34.718-25.226h42.913z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Togo +228</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.337h512v341.326H0z"></path><g fill="white"><path d="M210.715 174.377l3.684 11.338h11.919l-9.643 7.006 3.684 11.337-9.644-7.007-9.644 7.007 3.684-11.337-9.645-7.006h11.921zM116.816 281.971l4.605 14.172h14.9l-12.055 8.757 4.606 14.173-12.056-8.76-12.055 8.76 4.604-14.173-12.054-8.757h14.899zM144.696 119.679l4.604 14.172h14.901l-12.056 8.758 4.606 14.171-12.055-8.759-12.056 8.759 4.606-14.171-12.055-8.758h14.9zM69.539 175.331l4.604 14.172h14.9l-12.055 8.758 4.606 14.171-12.055-8.758-12.056 8.758 4.606-14.171-12.055-8.758h14.9z"></path></g><g fill="#FFDA44"><path d="M483.386 354.503H117.801s109.234-88.562 310.593-220.938c.001 0-88.443 128.935 54.992 220.938zM117.801 366.089c-11.177 0-11.195 17.37 0 17.37h365.585c11.177 0 11.195-17.37 0-17.37H117.801z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Tokelau +690</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.331h512v341.337H0z"></path><path fill="white" d="M0 85.331h256v170.663H0z"></path><path fill="#D80027" d="M141.357 157.303V130.59h-26.714v26.713H87.93v26.713h26.713v26.713h26.714v-26.713h26.713v-26.713z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Tonga +676</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.337h512v341.326H0z"></path><path fill="white" d="M6.066 85.337l207.961 212.636 131.584 128.69h160.323L297.973 214.027 166.389 85.337z"></path><path d="M43.364 85.337L384.69 426.663h83.946L127.31 85.337z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Trinidad and Tobago +1868</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.331h512v341.337H0z"></path><circle fill="white" cx="256" cy="255.994" r="96"></circle><g fill="#D80027"><path d="M267.826 219.291l16.47 22.695 26.673-8.649-16.496 22.676 16.468 22.695-26.664-8.681-16.495 22.676.017-28.04-26.664-8.682 26.674-8.648z"></path><path d="M277.818 312.724c-31.33 0-56.727-25.397-56.727-56.727s25.397-56.727 56.727-56.727c9.769 0 18.96 2.47 26.985 6.819-12.589-12.31-29.804-19.909-48.803-19.909-38.558 0-69.818 31.259-69.818 69.818s31.26 69.818 69.818 69.818c18.999 0 36.215-7.599 48.803-19.909-8.026 4.347-17.216 6.817-26.985 6.817z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Tunisia +216</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 450 300"><path fill="#d80027" d="M0 150V0h450v300H0V150z"></path><path fill="white" d="M247.3 118.3l35.2 5.8L307.4 99l5.1 32.8L344 150l-31.5 18.2-4.9 33.5-25.1-25.9-35.2 5.8L263 150z"></path><path fill="white" d="M240.6 228.6c-43.3 0-78.3-35.1-78.3-78.3S197.4 72 240.6 72c8.1 0 15.8 1.2 23.2 3.5-17.3-15-39.8-24-64.5-24-54.4 0-98.6 44.1-98.6 98.6s44.1 98.6 98.6 98.6c24.2 0 46.3-8.7 63.4-23.1-7 1.9-14.4 3-22.1 3z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Turkey +90</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#496E2D" d="M0 85.337h512v341.326H0z"></path><g fill="white"><path d="M357.208 183.679c8.397-23.404-1.036-48.858-21.281-61.536a52.131 52.131 0 0110.884 2.621c27.002 9.688 41.038 39.428 31.35 66.431s-39.428 41.038-66.431 31.35a52.182 52.182 0 01-10.069-4.895c23.686 3.084 47.15-10.566 55.547-33.971zM310.637 115.729l-7.297 9.427-11.22-4.026 6.712 9.852-7.296 9.427 11.443-3.338 6.712 9.852.361-11.914 11.444-3.339-11.221-4.025z"></path><path d="M330.338 146.448l-7.296 9.427-11.221-4.026 6.712 9.852-7.296 9.427 11.443-3.339 6.712 9.853.36-11.915 11.445-3.34-11.221-4.024zM275.9 126.916l-7.296 9.427-11.219-4.024 6.711 9.851-7.296 9.426 11.443-3.338 6.712 9.852.361-11.915 11.444-3.337-11.221-4.027zM275.101 162.105l-7.296 9.427-11.221-4.026 6.712 9.852-7.296 9.427 11.444-3.338 6.711 9.852.362-11.915 11.443-3.338-11.22-4.026zM308.585 174.118l-7.296 9.427-11.22-4.026 6.712 9.853-7.297 9.426 11.444-3.338 6.712 9.852.36-11.915 11.443-3.338-11.219-4.025z"></path></g><path fill="#D80027" d="M83.478 85.337h89.043v341.326H83.478z"></path><path fill="white" d="M117.458 175.191l-14.908-11.105v-15.705l14.908-11.105h21.084l14.908 11.105v15.705l-14.908 11.105z"></path><g fill="#FF9811"><path d="M128 137.276h-10.542l-14.908 11.105v7.678H128zM128 175.191h10.542l14.908-11.105v-8.012H128z"></path></g><path fill="white" d="M117.458 374.725l-14.908-11.106v-15.704l14.908-11.105h21.084l14.908 11.105v15.704l-14.908 11.106z"></path><g fill="#FF9811"><path d="M128 336.81h-10.542l-14.908 11.105v7.678H128zM128 374.725h10.542l14.908-11.106v-8.011H128z"></path></g><g fill="#496E2D"><path d="M117.458 274.957l-14.908-11.105v-15.703l14.908-11.106h21.084l14.908 11.106v15.703l-14.908 11.105zM153.971 299.391h-6.493v-6.493h-11.411l-8.068-8.068-8.067 8.068h-11.41v6.493h-6.493v12.986h6.493v6.492h11.41l8.068 8.069 8.068-8.069h11.41v-6.492h6.493zM153.971 199.623h-6.493v-6.492h-11.411l-8.068-8.069-8.067 8.069h-11.41v6.492h-6.493v12.986h6.493v6.492h11.41l8.068 8.07 8.068-8.07h11.41v-6.492h6.493z"></path></g><g fill="#D80027"><path d="M120.576 248.576h14.84v14.84h-14.84z"></path><circle cx="128" cy="206.113" r="7.421"></circle><circle cx="128" cy="305.887" r="7.421"></circle></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Turkmenistan +993</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#0052B4" d="M0 85.333h512V426.67H0z"></path><path fill="#FFDA44" d="M332.058 191.996v78.221c0 38.103 51.942 49.779 51.942 49.779s51.942-11.675 51.942-49.779v-78.221H332.058z"></path><path fill="#FF9811" d="M376.579 220.44c0 7.855-6.644 28.445-14.84 28.445s-14.84-20.589-14.84-28.445c0-7.856 14.84-14.222 14.84-14.222s14.84 6.367 14.84 14.222z"></path><path fill="#A2001D" d="M415.961 235.93c2.394-5.6 4.257-13.785 4.257-17.86 0-6.546-8.904-11.852-8.904-11.852s-8.904 5.306-8.904 11.852c0 4.075 1.862 12.26 4.257 17.86l-5.141 11.123a26.898 26.898 0 009.788 1.831c3.463 0 6.766-.654 9.788-1.831l-5.141-11.123z"></path><path fill="#6DA544" d="M372.87 270.217s-7.421 14.222-7.421 28.445h37.101c0-14.222-7.421-28.445-7.421-28.445l-11.13-7.111-11.129 7.111z"></path><path fill="#D80027" d="M395.13 270.217v-3.555c0-5.891-4.983-10.666-11.13-10.666-6.147 0-11.13 4.776-11.13 10.666v3.555h22.26z"></path><path fill="white" d="M256 85.333v30.553l-45.167 25.099H256v59.359h-59.103L256 233.179v22.817h-26.68l-73.494-40.826v40.826h-55.652v-48.573l-87.43 48.573H0v-30.554l45.167-25.098H0v-59.359h59.103L0 108.139V85.333h26.68l73.494 40.825V85.333h55.652v48.572l87.43-48.572z"></path><path fill="#D80027" d="M144 85.33h-32v69.332H0v32h112v69.334h32v-69.334h112v-32H144z"></path><path fill="#0052B4" d="M155.826 200.344L256 255.996v-15.737l-71.847-39.915z"></path><path fill="white" d="M155.826 200.344L256 255.996v-15.737l-71.847-39.915z"></path><g fill="#D80027"><path d="M155.826 200.344L256 255.996v-15.737l-71.847-39.915zM71.846 200.344L0 240.259v15.737l100.174-55.652z"></path></g><path fill="#0052B4" d="M100.174 140.982L0 85.33v15.737l71.847 39.915z"></path><path fill="white" d="M100.174 140.982L0 85.33v15.737l71.847 39.915z"></path><g fill="#D80027"><path d="M100.174 140.982L0 85.33v15.737l71.847 39.915zM184.154 140.982L256 101.067V85.33l-100.174 55.652z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Turks and Caicos Islands +1649</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 900 600"><path fill="#0052B4" d="M0 0h900v600H0z"></path><path fill="#00B2EE" d="M0 300h450V0h450v600H0V300z"></path><path fill="#FFDA44" d="M345.3 480.9l29.4 90.6-77.1-56H393l-77.1 56 29.4-90.6zM706.4 340l29.4 90.6-77.1-56H754l-77.1 56 29.5-90.6zM812.8 261.5l29.4 90.6-77.1-56h95.3l-77.1 56 29.5-90.6zM812.8 37.4l29.4 90.6-77.1-56h95.3l-77.1 56 29.5-90.6z"></path><path fill="white" d="M449.9 0v206.3h-81l81 54V300h-39.7l-129-85.9V300H168.7v-85.9L39.7 300H0v-39.7l81-54H0V93.8h81L0 39.9V0h39.7l129 85.9V0h112.5v85.9L410.2 0z"></path><path fill="#D80027" d="M253.1 0h-56.3v122H0v56.2h196.8V300h56.3V178.2h196.8V122H253.1z"></path><path fill="#2E52B2" d="M449.9 39.9v53.9h-81z"></path><path fill="#D80027" d="M0 300v-19.3l109.9-74.4h39.7L12.8 300zM12.8.1l136.8 93.7h-39.7L0 19.4V.1zM449.9.2v19.3L340 93.8h-39.7L437.1.2zM437.1 300l-136.8-93.7H340l109.9 74.4V300z"></path><path fill="#FFDA44" d="M719.9 131.6l29.4 90.6-77.1-56h95.3l-77.1 56 29.5-90.6zM584 187.7l29.4 90.6-77.1-56h95.3l-77.1 56 29.5-90.6zM614 430.6l29.4 90.6-77.1-56h95.3l-77.1 56 29.5-90.6zM488 332l29.4 90.6-77.1-56h95.3l-77.1 56L488 332zM488 464l29.4 90.6-77.1-56h95.3l-77.1 56L488 464z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Tuvalu +688</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 341.3"><path fill="#232323" d="M0 0h512v341.3H0z"></path><path fill="#FFDA44" d="M0 56.9h512v56.9H0z"></path><path fill="#D32300" d="M0 113.8h512v56.9H0z"></path><path fill="#FFDA44" d="M0 227.6h512v56.9H0z"></path><path fill="#D32300" d="M0 284.4h512v56.9H0z"></path><circle fill="white" cx="256" cy="170.7" r="80.7"></circle><path d="M234.5 127.5c.9-1.4-19.6-2-19.6-2 1.7-2.5 18.4-10.5 18.4-10.5s-.9-6 2.7-9.8l-4.5-9.8s7-3.4 18.4-3.4 19.9 7 21 13.1l-6.4 3.4c-.1 4.7 1.7 11.6-4.3 17.3-5.9 5.7-8.3 6.9-8.5 18.8 0 3.9 2.3 8.2 8.8 11.7 17.4 9.3 38.6 28.2 44.6 33.9 6.1 5.7 5.1 19.2 2.6 25.2s-12.1 14.3-14.3 13.6c-2.2-.6 1.2-9.2-3.5-11.6 0 0-8.9-7.6-16.8.6s-.2 25.2 3.9 28c4.1 2.8 1.7 5-1.9 5H247c-3.8 0-5.4-2.3-1.9-5 7.6-3.8 12.4-15.3 7.4-20.3-4.9-4.9-18.3 1.5-21.5 6.3-2.8 2.8-8.8 3.6-12.9-1.4s-4.1-10.4-1.1-12.5c7-4.8 0 0 .1-.1 0 0 11.9-8.6 29.9-9 3.9 0 4.8-2.2 2.2-4.8 0 0-30.9-27.4-28.1-44.2 3-18.3 20-26.3 13.4-32.5-1.3-1.8 0 0 0 0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Uganda +256</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#FFDA44" d="M0 85.337h512v341.326H0z"></path><path fill="#338AF3" d="M0 85.337h512V256H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Ukraine +380</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.333h512V426.67H0z"></path><path fill="#D80027" d="M288 85.33h-64v138.666H0v64h224v138.666h64V287.996h224v-64H288z"></path><g fill="#0052B4"><path d="M393.785 315.358L512 381.034v-65.676zM311.652 315.358L512 426.662v-31.474l-143.693-79.83zM458.634 426.662l-146.982-81.664v81.664z"></path></g><path fill="white" d="M311.652 315.358L512 426.662v-31.474l-143.693-79.83z"></path><path fill="#D80027" d="M311.652 315.358L512 426.662v-31.474l-143.693-79.83z"></path><g fill="#0052B4"><path d="M90.341 315.356L0 365.546v-50.19zM200.348 329.51v97.151H25.491z"></path></g><path fill="#D80027" d="M143.693 315.358L0 395.188v31.474l200.348-111.304z"></path><g fill="#0052B4"><path d="M118.215 196.634L0 130.958v65.676zM200.348 196.634L0 85.33v31.474l143.693 79.83zM53.366 85.33l146.982 81.664V85.33z"></path></g><path fill="white" d="M200.348 196.634L0 85.33v31.474l143.693 79.83z"></path><path fill="#D80027" d="M200.348 196.634L0 85.33v31.474l143.693 79.83z"></path><g fill="#0052B4"><path d="M421.659 196.636L512 146.446v50.19zM311.652 182.482V85.331h174.857z"></path></g><path fill="#D80027" d="M368.307 196.634L512 116.804V85.33L311.652 196.634z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">United Kingdom +44</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 513 342"><path fill="white" d="M0 0h513v342H0z"></path><g fill="#338AF3"><path d="M0 38h513v38H0zM0 114h513v38H0zM0 190h513v38H0zM0 266h513v38H0z"></path></g><path fill="white" d="M0 0h256.5v190H0z"></path><path fill="#FFDA44" d="M192 95l-26.2 12.3 14 25.3-28.4-5.4-3.6 28.7-19.8-21.1-19.8 21.1-3.6-28.7-28.4 5.4 14-25.3L64 95l26.2-12.3-14-25.3 28.4 5.4 3.6-28.7L128 55.2l19.8-21.1 3.6 28.7 28.4-5.4-14 25.3z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Uruguay +598</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M0 85.337h512v341.326H0z"></path><path fill="#6DA544" d="M0 322.783h512v103.88H0z"></path><path fill="#338AF3" d="M0 85.337h512v104.515H0z"></path><path fill="white" d="M0 210.877h512v89.656H0z"></path><path fill="#338AF3" d="M0 85.337h512v104.515H0z"></path><g fill="white"><path d="M188.688 137.589c0-15.984 11.234-29.339 26.236-32.614a33.531 33.531 0 00-7.155-.777c-18.442 0-33.391 14.949-33.391 33.391s14.949 33.391 33.391 33.391c2.458 0 4.85-.273 7.155-.777-15.002-3.275-26.236-16.63-26.236-32.614zM234.658 152.766l2.261 6.957h7.315l-5.918 4.301 2.261 6.956-5.919-4.3-5.918 4.3 2.261-6.956-5.918-4.301h7.315zM258.006 152.766l2.26 6.957h7.315l-5.918 4.301 2.261 6.956-5.918-4.3-5.918 4.3 2.26-6.956-5.917-4.301h7.314zM281.353 152.766l2.26 6.957h7.315l-5.917 4.301 2.26 6.956-5.918-4.3-5.918 4.3 2.26-6.956-5.918-4.301h7.315zM304.7 152.766l2.262 6.957h7.315l-5.919 4.301 2.261 6.956-5.919-4.3-5.918 4.3 2.262-6.956-5.919-4.301h7.314zM328.048 152.766l2.26 6.957h7.315l-5.918 4.301 2.261 6.956-5.918-4.3-5.918 4.3 2.26-6.956-5.917-4.301h7.314zM258.006 128.482l2.26 6.956h7.315l-5.918 4.3 2.261 6.957-5.918-4.299-5.918 4.299 2.26-6.957-5.917-4.3h7.314zM281.353 128.482l2.26 6.956h7.315l-5.917 4.3 2.26 6.957-5.918-4.299-5.918 4.299 2.26-6.957-5.918-4.3h7.315zM304.7 128.482l2.262 6.956h7.315l-5.919 4.3 2.261 6.957-5.919-4.299-5.918 4.299 2.262-6.957-5.919-4.3h7.314zM328.048 128.482l2.26 6.956h7.315l-5.918 4.3 2.261 6.957-5.918-4.299-5.918 4.299 2.26-6.957-5.917-4.3h7.314zM281.353 104.198l2.26 6.956h7.315l-5.917 4.3 2.26 6.957-5.918-4.3-5.918 4.3 2.26-6.957-5.918-4.3h7.315zM304.7 104.198l2.262 6.956h7.315l-5.919 4.3 2.261 6.957-5.919-4.3-5.918 4.3 2.262-6.957-5.919-4.3h7.314zM328.048 104.198l2.26 6.956h7.315l-5.918 4.3 2.261 6.957-5.918-4.3-5.918 4.3 2.26-6.957-5.917-4.3h7.314z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Uzbekistan +998</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path d="M0 85.337h512v341.326H0z"></path><path fill="#6DA544" d="M512 256v170.663H0L215.185 256z"></path><path fill="#D80027" d="M512 85.337V256H215.185L0 85.337z"></path><path d="M221.001 239.304L26.868 85.337H8.956l208.168 165.098H512v-11.131zM8.956 426.663h17.912l194.133-153.967H512v-11.131H217.124zM0 92.44v14.206L188.317 256 0 405.354v14.205L206.229 256z"></path><g fill="#FFDA44"><path d="M8.956 85.337H0v7.103L206.229 256 0 419.559v7.104h8.956l208.168-165.098H512v-11.13H217.124z"></path><path d="M63.718 292.382v-14.295c14.265 0 25.87-11.606 25.87-25.869 0-10.092-8.211-18.303-18.304-18.303-6.875 0-12.469 5.593-12.469 12.469 0 4.397 3.577 7.974 7.974 7.974a4.514 4.514 0 004.508-4.508h14.295c0 10.368-8.435 18.804-18.802 18.804-12.279-.002-22.269-9.993-22.269-22.271 0-14.758 12.006-26.764 26.764-26.764 17.975 0 32.599 14.623 32.599 32.599 0 22.145-18.018 40.164-40.166 40.164z"></path></g></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Vanuatu +678</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 22.5 15"><path fill="#FFCE00" d="M0 0h22.5v5H0z"></path><path fill="#203899" d="M0 5h22.5v5H0z"></path><path fill="#D82B2B" d="M0 10h22.5v5H0z"></path><path fill="white" d="M12.13 5.38l.14.46.45.14-.39.27.01.48-.38-.29-.45.15.15-.44-.28-.38h.47zM10.36 5.38l.27.39h.47l-.28.38.15.45-.45-.16-.38.28.01-.47-.39-.28.45-.13zM13.8 5.94l-.01.48.39.27-.46.14-.14.45-.27-.38h-.48l.29-.38-.15-.45.45.16zM8.69 5.96l.4.27.44-.18-.13.46.3.36-.47.02-.26.4-.16-.44-.46-.12.37-.3zM15.24 7.13l-.2.44.25.4-.47-.05-.31.36-.1-.46-.43-.18.41-.24.03-.47.35.31zM15.43 8.25l.21.43.47.07-.34.33.08.46-.42-.22-.42.22.08-.46-.34-.33.47-.07zM7 8.2l.21.43.47.06-.34.33.08.47L7 9.27l-.42.22.08-.47-.34-.33.47-.06zM7.31 7.05l.45.14.38-.29v.48l.39.26-.45.15-.13.46-.28-.38-.47.01.27-.38z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Venezuela, Bolivarian Republic of Venezuela +58</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#D80027" d="M196.641 85.337H0v341.326h512V85.337z"></path><path fill="#FFDA44" d="M256 157.279l22.663 69.747H352l-59.332 43.106 22.664 69.749L256 296.774l-59.332 43.107 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5.4-2.4l32.5-83.1c.7-2.2-.4-4.5-2.6-5.3-2.1-.6-4.3.4-5.2 2.3z"></path><path fill="#409347" d="M122.1 171.9c.4 1.7 1.2 4.7 2.2 8.5 1.7 6.4 3.6 12.8 5.6 18.7 2.3 6.9 14.7 31.4 20.2 39.1 6.9 9.7 14.1 19.3 21.5 28.6 1.6 1.9 4.5 2.1 6.4.5 1.8-1.6 2.1-4.3.7-6.2-7.3-9.2-14.4-18.6-21.2-28.2-4.2-5.8-17.2-31.1-19-36.7-2.9-8.7-5.4-17.6-7.6-26.5-.5-2.4-2.9-4-5.3-3.5s-4 2.9-3.5 5.3c-.1.2 0 .3 0 .4z"></path><g fill="#FFD836" stroke="#231F20" stroke-miterlimit="10"><path d="M297.1 114.9S279.5 42.8 261 42.8c-6.9 0-11.9-.6-15.4 6.4-.9 1.7-20.7-1.6-19.1 20.8.5 6.9 1.1-9.8 14.9-3.4 6.3 3-16.4 48.2-16.4 48.2h72.1z"></path><path d="M466.1 48.4l-90.9 22c-75.3 18.3-42.1 44.4-42.1 44.4l-72.1 12-72.1-12s33.2-26.1-42.1-44.4l-90.9-22C43.1 45.3 38.1 51.8 45.3 63c0 0 106.6 104 126.8 112 20.2 8.1 40.8 0 40.8 0s-14.9 8.7-24 24c-9.2 15.3-4.6 34.7-38.9 40.2-5.5 6.6-5 14 2.9 19.9 7.9 5.8 72.1-48.1 72.1-48.1s-24 24.4-24 36.1c0 5.1 44.1 53.8 60.1 53.8s60.1-48.7 60.1-53.8c0-11.7-24-36.1-24-36.1s64.2 53.9 72.1 48.1 11.4-19.3 2.8-19.9c-28-1.8-29.7-24.9-38.9-40.2-9.2-15.3-24-24-24-24s20.6 8.1 40.8 0S476.7 63 476.7 63c7.2-11.2 2.3-17.7-10.6-14.6z"></path></g><path fill="white" stroke="#231F20" stroke-miterlimit="10" d="M201.3 111.8v80.3c0 45.7 59.7 59.7 59.7 59.7s59.7-14 59.7-59.7v-80.3H201.3h0z"></path><g fill="#D80027"><path d="M225.2 137.7V235c8.2 6 17 10.2 23.9 12.9V137.7h-23.9zM296.8 137.7V235c-8.2 6-17 10.2-23.9 12.9V137.7h23.9z"></path></g><path fill="#0052B4" d="M201.3 111.8h119.4v37.9H201.3z"></path><path fill="#1583C4" d="M60.1 210.5l-21.9-58.1H15.7l31.8 80.8h25.2l31.5-80.8H81.7zM451.5 151.9h18.9v81.7h-18.9z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Virgin Islands, U.S. +1340</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 150 100"><path fill="#ED2939" d="M0 0h150v100H0z"></path><path fill="#002395" d="M0 0h20v44.33H0z"></path><path fill="white" d="M20 0h20v44.33H20z"></path><path fill="none" stroke="white" stroke-width="3" d="M0 44.33h62.75V0"></path><path fill="white" d="M108.08 43.29L87.96 23.17h40.25l-20.13 20.12zm-6.7 6.71L81.25 29.88v40.25L101.38 50zm6.7 6.71L87.96 76.83h40.25l-20.13-20.12zm6.71-6.71l20.13-20.13v40.25L114.79 50z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Wallis and Futuna +681</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="white" d="M0 85.337h512v341.326H0z"></path><path fill="#D80027" d="M0 85.337h512v113.775H0z"></path><path d="M0 312.888h512v113.775H0z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Yemen +967</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path fill="#496E2D" d="M0 85.331h512v341.337H0z"></path><path fill="#FF9811" d="M490.668 195.476h-48c0-8.836-7.164-16-16-16s-16 7.164-16 16h-48c0 8.836 7.697 16 16.533 16h-.533c0 8.836 7.162 16 16 16 0 8.836 7.162 16 16 16h32c8.836 0 16-7.164 16-16 8.836 0 16-7.164 16-16h-.533c8.837 0 16.533-7.164 16.533-16z"></path><path fill="#D80027" d="M341.337 255.994h56.888v170.663h-56.888z"></path><path fill="#FF9811" d="M455.112 255.994H512v170.663h-56.888z"></path><path d="M398.225 255.994h56.888v170.663h-56.888z"></path></svg></div><div class="pl-spacing4 w-6 items-center text-neutral-700 font-semibold md:!w-45 !w-auto pl-spacing8 text-sm">Zambia +260</div></div></div><div class="bg-white pr-spacing10 pl-spacing16 pt-spacing10 pb-spacing10 w-full font-normal text-xs text-gray cursor-pointer border-1 border-white hover:border-neutral-400"><div class="flex items-center font-Inter"><div class="w-5 h-5 flex items-center"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 85.333 512 341.333"><path d="M0 85.333h512V426.67H0z"></path><g fill="#FFDA44"><path d="M0 134.196h512v48.868H0zM0 329.668h512v48.868H0z"></path></g><path fill="#6DA544" d="M0 85.333h512v48.868H0z"></path><g fill="#D80027"><path d="M0 183.069h512v48.868H0zM0 280.806h512v48.868H0z"></path></g><path fill="#6DA544" d="M0 378.542h512v48.128H0z"></path><path 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     h-33  bg-white overflow-hidden rounded-12 -z-0"><div class="w-6.5 h-8 bg-white rounded-xl border border-bootcamp-green-700 absolute -right-3.5 top-12.5 z-10"></div><div class="w-6.5 h-8 bg-white rounded-xl border border-bootcamp-green-700 absolute -left-3.5 top-12.5 z-10"></div><div class="border rounded-12 border-bootcamp-green-700 bg-bootcamp-green-200 w-full h-full py-spacing10 px-spacing16 shadow-elevation relative overflow-hidden"><div class="absolute -top-1 -right-1"><img alt="pattern" loading="lazy" width="95" height="153" decoding="async"  style="color:transparent" src="infinity_images/Pattern.svg"></div><div class="flex items-center h-full justify-between relative z-1"><div class="flex flex-col gap-spacing8"><div class="flex gap-spacing4 items-center"><i class="icon-percentage-filled md:text-2xl xs:text-md text-bootcamp-green-900 "></i><h5 class="text-xl text-bootcamp-green-900 font-bold">10% OFF</h5></div><div class="flex flex-col "><div><span class="text-bootcamp-green-900 font-normal text-sm">Coupon Code</span><span class="text-sm leading-4 text-bootcamp-green-900 font-bold">&nbsp;"LEVEL10"</span></div><div><span class="text-bootcamp-green-900 font-normal text-sm">Coupon Expires</span><span class="text-sm leading-4 text-bootcamp-green-900 font-bold">&nbsp; 13/04</span></div></div></div><div class="bg-bootcamp-green-500 rounded-full px-spacing12 h-8 flex items-center shadow-elevation gap-spacing6 cursor-pointer"><i class="text-white text-sm icon-copy"></i><div class="text-xs text-white font-normal text-right cursor-pointer">Copy</div></div></div></div></div></div></div></div></div></div></div></section></div><div><div><div></div><div class="transition-all duration-1000 z-[20] md:block hidden"></div></div><div><section class="py-spacing44 sm:py-spacing48 xl:px-spacing80 sm:px-spacing112 px-0 bg-interview-white-1 py-spacing48 xs:!mt-spacing48"><div class="px-spacing20 md:px-0 w-full 2xl:max-w-7xl mx-auto"><div class="row g-4"><div class="col-12 md:flex-col"><h3 class="text-interview-black-1 font-[700] md:text-title2 xs:text-title3 pb-spacing10">Description</h3><div class="relative "><div class="text-neutral7 font-normal md:text-bodyNormal xs:text-bannerPoints pb-spacing24"><h2 class="CertTheme__h2" dir="ltr"><b><strong class="CertTheme__textBold">Tips and Tricks to Prepare Dynamic Programming Interview</strong></b></h2><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>Here are some tips and tricks for working with dynamic programming problems and which may be helpful in top dynamic programming interview questions:</span></p><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem"><b><strong class="CertTheme__textBold">Identify the optimal substructure of the problem</strong></b></li></ul><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>One of the key ingredients of a dynamic programming problem is the presence of an optimal substructure, which means that the optimal solution to a problem can be constructed from the optimal solutions to its subproblems. Identifying the optimal substructure of a problem is crucial for developing a dynamic programming solution.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>To identify the optimal substructure of a problem, you can try to break the problem down into smaller subproblems and look for patterns or dependencies between the subproblems. For example, in the Knapsack problem, the optimal solution for a given set of items and a given capacity depends on the optimal solutions for the same set of items with smaller capacities.</span></p><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem"><b><strong class="CertTheme__textBold">Use memoization or tabulation to store and retrieve solutions to subproblems</strong></b></li></ul><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>To avoid solving the same subproblems multiple times, you can use memoization or tabulation to store and retrieve the solutions to subproblems. Memoization involves storing the solutions in an array or table, while tabulation involves filling in a table or array in a specific order.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>Memoization is typically implemented using recursion, where the solutions to subproblems are stored in an array or table and checked before computing the solution. This can save time by avoiding the need to re-compute the solution to a subproblem that has already been solved.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>Tabulation, on the other hand, involves filling in a table or array in a specific order, starting with the smallest subproblems and gradually building up to the solution of the larger ones. This avoids the overhead of recursive function calls and can improve the efficiency of the solution.</span></p><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem"><b><strong class="CertTheme__textBold">Use bottom-up dynamic programming to avoid recursion</strong></b></li></ul><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>While dynamic programming algorithms often involve recursion, using a bottom-up approach can avoid the overhead of recursive function calls and improve the efficiency of the solution. In a bottom-up approach, you start by solving the smallest subproblems and gradually build up to the solution of the larger ones.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>To implement a bottom-up dynamic programming algorithm, you can use a loop to iterate over the subproblems in the correct order, storing the solutions in an array or table as you go. This avoids the need for recursive function calls and can improve the efficiency of the solution.</span></p><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem"><b><strong class="CertTheme__textBold">Use problem-specific techniques to optimize your solution</strong></b></li></ul><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>Depending on the specific problem you are solving, there may be problem-specific techniques that you can use to optimize your dynamic programming solution. For example, in the Knapsack problem, you can use the boundedness property to prune the search space and improve the efficiency of the solution.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>To use problem-specific techniques to optimize your dynamic programming solution, you need to understand the unique characteristics of the problem you are trying to solve and how they can be exploited to improve the efficiency of the solution.</span></p><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem"><b><strong class="CertTheme__textBold">Think about the time and space complexity of your solution</strong></b></li></ul><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>As with any algorithm, it is important to think about the time and space complexity of your dynamic programming solution. Use big-O notation to express the complexity in terms of the size of the input, and try to optimize your solution to minimize the complexity.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>To minimize the time complexity of your dynamic programming solution, you can try to reduce the number of subproblems that need to be solved, or use optimization techniques such as memoization or tabulation</span></p><h2 class="CertTheme__h2" dir="ltr"><b><strong class="CertTheme__textBold">How to Prepare for a Dynamic Programming Interview?</strong></b></h2><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>Here are some tips for preparing for interview questions on dynamic programming:</span></p><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem"><b><strong class="CertTheme__textBold">Review the fundamentals of dynamic programming</strong></b></li></ul><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>Dynamic programming is a technique for solving optimization problems by dividing them into smaller subproblems, solving each subproblem once, and storing the solutions in a table for future reference. It is important to understand the key concepts and principles of dynamic programmings, such as the difference between overlapping and non-overlapping subproblems, the difference between memoization and tabulation, and the importance of finding the optimal substructure of a problem.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>To review the fundamentals of dynamic programming, you can start by reading textbooks or online tutorials on the topic. Make sure to work through plenty of examples to get a feel for how dynamic programming works and how it can be applied to different types of problems.</span></p><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem"><b><strong class="CertTheme__textBold">Practice solving dynamic programming problems</strong></b></li></ul><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>One of the best ways to prepare for a dynamic programming interview is to practice solving dynamic programming problems. There are many resources available online, such as coding websites and online communities, where you can find dynamic programming problems to solve.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>As you solve problems, make sure to pay attention to the problem-solving process and think about how you can apply dynamic programming to each problem. It is also helpful to analyze the time and space complexity of your solutions and think about how you can optimize them.</span></p><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem"><b><strong class="CertTheme__textBold">Implement dynamic programming algorithms</strong></b></li></ul><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>In addition to solving problems, you should also practice implementing dynamic programming algorithms in a programming language of your choice. This will help you become comfortable with the syntax and conventions of the language, as well as with the process of designing and testing dynamic programming solutions.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>To practice implementing dynamic programming algorithms, you can try to re-implement the solutions to the problems you solved in the previous step. You can also try to find additional problems to solve and implement solutions for those as well.</span></p><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem"><b><strong class="CertTheme__textBold">Analyze the time and space complexity of your solutions</strong></b></li></ul><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>As you solve dynamic programming problems, it is important to analyze the time and space complexity of your solutions. This will help you understand the trade-offs involved in using dynamic programming, as well as the limitations of the technique.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>To analyze the complexity of your solutions, you can use big-O notation to express the time and space complexity in terms of the size of the input. For example, if your solution has a time complexity of O(n^2) and a space complexity of O(n), this means that the time and space required to solve the problem increases with the square of the size of the input and the size of the input, respectively.</span></p><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem"><b><strong class="CertTheme__textBold">Review common optimization techniques</strong></b></li></ul><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>In addition to dynamic programming, you should also be familiar with common optimization techniques such as memoization and tabulation. These techniques can help you speed up your dynamic programming algorithms and reduce their space complexity.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>Memoization involves storing the solutions to subproblems in a table or array so that they can be accessed quickly the next time they are needed. Tabulation, on the other hand, involves filling in a table or array in a specific order to ensure that all necessary subproblems have been solved before they are needed.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>By reviewing these optimization techniques and practicing their use, you will be better equipped to optimize your dynamic programming solutions and improve their efficiency.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>Overall, preparing for a dynamic programming interview requires a combination of understanding the fundamentals of the technique, practicing problem-solving and implementation, analyzing complexity, and reviewing optimization techniques. With enough practice and dedication, you can become proficient in dynamic programming and be well-prepared for your interview.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>You can consider earning a dynamic programming certification or taking a </span><a href="programming/data-structure-and-algorithms-course-using-java" target="_blank" rel="noreferrer noopener" class="CertTheme__link"><span>Dynamic Programming course</span></a><span> to gain a deeper understanding of the subject and stand out in your dynamic programming interview.</span></p><h3 class="CertTheme__h3" dir="ltr"><b><strong class="CertTheme__textBold">Job Roles</strong></b></h3><ol class="CertTheme__ol1"><li value="1" class="CertTheme__listItem"><span>Software Engineer</span></li><li value="2" class="CertTheme__listItem"><span>Data Scientist</span></li><li value="3" class="CertTheme__listItem"><span>Research Engineer</span></li><li value="4" class="CertTheme__listItem"><span>Machine Learning Engineer</span></li><li value="5" class="CertTheme__listItem"><span>Algorithm Developer</span></li><li value="6" class="CertTheme__listItem"><span>Optimization Engineer</span></li><li value="7" class="CertTheme__listItem"><span>Natural Language Processing Engineer</span></li></ol><h3 class="CertTheme__h3" dir="ltr"><b><strong class="CertTheme__textBold">Top Companies</strong></b></h3><ol class="CertTheme__ol1"><li value="1" class="CertTheme__listItem"><span>Google</span></li><li value="2" class="CertTheme__listItem"><span>Microsoft</span></li><li value="3" class="CertTheme__listItem"><span>Amazon</span></li><li value="4" class="CertTheme__listItem"><span>Apple</span></li><li value="5" class="CertTheme__listItem"><span>Facebook</span></li><li value="6" class="CertTheme__listItem"><span>IBM</span></li><li value="7" class="CertTheme__listItem"><span>Netflix</span></li><li value="8" class="CertTheme__listItem"><span>Uber</span></li><li value="9" class="CertTheme__listItem"><span>Airbnb</span></li><li value="10" class="CertTheme__listItem"><span>LinkedIn</span></li><li value="11" class="CertTheme__listItem"><span>Oracle</span></li><li value="12" class="CertTheme__listItem"><span>Cisco</span></li><li value="13" class="CertTheme__listItem"><span>Intel</span></li><li value="14" class="CertTheme__listItem"><span>Adobe</span></li><li value="15" class="CertTheme__listItem"><span>Twitter</span></li><li value="16" class="CertTheme__listItem"><span>Dropbox</span></li></ol><h2 class="CertTheme__h2" dir="ltr"><b><strong class="CertTheme__textBold">What to Expect in a Dynamic Programming Interview</strong></b></h2><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>In a dynamic programming interview, you can expect to be asked questions about your understanding of the dynamic programming technique, your ability to recognize and solve problems using dynamic programming, and your ability to implement dynamic programming algorithms in a programming language of your choice. To excel in your dynamic programming interview, it is important to practice as much as possible and be well-prepared for the dynamic programming questions asked in the interview.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>You may be asked to solve dynamic programming problems on a whiteboard or on a computer. You may be asked to explain your thought process and how you arrived at your solution. You may also be asked to analyze the time and space complexity of your solution.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>Some common types of dynamic programming problems that you may be asked to solve in an interview include:</span></p><ul class="CertTheme__ul"><li value="1" class="CertTheme__listItem"><span>Optimization problems, such as the Knapsack problem or the Traveling Salesman problem</span></li><li value="2" class="CertTheme__listItem"><span>Combinatorial problems, such as the Longest Common Subsequence problem or the Edit Distance problem</span></li><li value="3" class="CertTheme__listItem"><span>Graph problems, such as the Shortest Path problem or the Maximum Flow problem</span></li><li value="4" class="CertTheme__listItem"><span>String problems, such as the Longest Palindromic Subsequence problem or the Regular Expression Matching problem</span></li></ul><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>It is important to practice solving a wide range of dynamic programming problems in order to be well-prepared for a dynamic programming interview. You should also be familiar with the trade-offs and limitations of dynamic programming, as well as common optimization techniques such as memoization and tabulation.</span></p><h2 class="CertTheme__h2" dir="ltr"><b><strong class="CertTheme__textBold">Time to Get that Dynamic Programming Job</strong></b></h2><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>Dynamic programming is a widely used technique in computer science that involves solving complex problems by breaking them down into smaller subproblems and storing the solutions to these subproblems in order to avoid re-computing them. This technique is often used in interviews for computer science and related roles, as it is a valuable skill for many job positions.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>If you are preparing dynamic programming for interviews, it is important to familiarize yourself with the key concepts and techniques of dynamic programming and practice solving dynamic programming problems. To prepare for a dynamic programming interview, it is also helpful to familiarize yourself with the company's specific needs and the types of problems they typically solve using dynamic programming.</span></p><p class="CertTheme__paragraph" dir="ltr" data-mode="standard"><span>Some </span><a href="programming-certification" target="_blank" rel="noreferrer noopener" class="CertTheme__link"><span>top Programming Certifications</span></a><span> include the C++ Institute Certified Associate Programmer (CPA) and the Oracle Certified Professional certification. By gaining expertise in dynamic programming and obtaining relevant certifications, you can increase your chances of success in a dynamic programming interview.</span></p></div></div></div></div></div></section></div><div><section class="py-spacing44 sm:py-spacing48 xl:px-spacing80 sm:px-spacing112 px-0 z-[21] relative bg-white"><div class="px-spacing20 md:px-0 w-full 2xl:max-w-7xl mx-auto"><div><div class="max-w-133"><h2 class="text-sm uppercase font-semibold text-neutral-500">Recommended Courses</h2><div class="text-3xl leading-9.75 font-bold text-mono-black mt-spacing6">Learners Enrolled For</div></div><div class="relative"><div><div class="absolute flex gap-spacing16  right-0 -top-10 "><button class="border-2 rounded-full h-8 w-8 flex items-center justify-center border-solid border-neutral-700 pr-spacing2 disabled:border-neutral-200 transition duration-300 ease-in-out hover:bg-neutral-100 text-neutral-800 disabled:text-neutral-300 disabled:bg-transparent recommendedCourses-sliderprev-button undefined"><i class="icon-chevron-right text-2xl leading-6 rotate-180 pointer-events-none"></i></button><button class="border-2 rounded-full h-8 w-8 flex items-center justify-center border-solid pl-spacing2 border-neutral-700 disabled:border-neutral-200 text-neutral-800 disabled:text-neutral-300 transition duration-300 ease-in-out hover:bg-neutral-100 disabled:bg-transparent recommendedCourses-slidernext-button undefined"><i class="icon-chevron-right text-2xl leading-6 pointer-events-none"></i></button></div><div class="arrow-slider-wrapper pt-spacing40"><div class="swiper !-m-3 !p-3"><div class="swiper-wrapper"></div></div></div></div></div></div></div></section></div><div class="md:pt-spacing48 pt-spacing44"><div><section data-id="ow-cta1-1" id="ow-cta1-1" class="py-spacing44 sm:py-spacing48 xl:px-spacing80 sm:px-spacing112 px-0 bg-home-cta !p-0"><div class="px-spacing20 md:px-0 w-full 2xl:max-w-7xl mx-auto"><div class="row g-4"><div class="col-12 md:flex-col"><div class="flex md:flex-row flex-col gap-spacing32 justify-center md:p-0 py-spacing24 px-spacing4 md:gap-spacing80"><img alt="CTA" loading="lazy" width="100" height="100" decoding="async"  class="self-end w-80 h-54" style="color:transparent" src="https://d2o2utebsixu4k.cloudfront.net/IllustrationCTA-5a461054ff2a4b0daa61b1369df49999.svg"><div class="flex justify-center md:w-140  items-center flex-col gap-spacing8"><div class="text-sm font-semibold uppercase text-secondary-700">Got more questions? 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