Number of ways coin change leetcode. You may assume that you have an infinite number .

Number of ways coin change leetcode Nov 2, 2021 · It's one of the most popular questions on leetcode that seems very easy at first. Coin Change problem of Leetcode. Inverse Coin Change. Better than official and forum solutions. It is featured on LeetCode as problem number 518 and is categorized as a medium difficulty problem. Coin Change 2 problem of Leetcode. You may assume that you have an infinite number Oct 3, 2025 · Learn how to solve the Coin Change Problem using brute force and dynamic programming approaches with Python, C++, and Java code examples. Example 1: coins = [1, 2, 5], amount = 11 return 3 (11 = 5 + 5 + 1) Example 2: coins = [2], amount = 3 return -1. e. Intuitions, example walk through, and complexity analysis. Function: coinChange(total, start) - returns the total number of ways to change coins Transition: 1. The problem: Given a set of integer coin denominations and an integer amount, return the fewest number of coins that make that amount, or -1 if there is no solution. You may assume that you have an infinite number In this post, we are going to solve the 518. However, the exact coin denominations have been lost. Initially, set every element to a value greater than the possible number of coins (amount + 1), as a way to signify that those amounts are initially unreachable. But honestly, more than ratings, what excites me is teaching the way I wish I had been taught. * You will pick the next pile with the maximum Oct 9, 2024 · I am looking at a particular solution that was given for LeetCode problem 322. Mar 13, 2025 · The Coin Change 2 problem is a classic dynamic programming challenge that tests your ability to find the number of ways to make a given amount using a set of coins. Mar 11, 2021 · The problem is simple and relatable, we just need to break an amount into the change based on the coins we have, the special thing is that the number of coins in the change should be minimum i. Sep 15, 2024 · Coin Change — LeetCode Problem 43: Coin Change You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. You may assume that you have an infinite number Jun 7, 2020 · Problem 2 (leetcode one): You are given coins of different denominations and a total amount of money. we are given dp array that we created while finding number of ways to make the target sum. Return the number of combinations that make up that amount. com Problem We have an infinite number of different types of coins such as … Coin Change - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. 322. Jul 23, 2025 · Given an integer array of coins [] of size n representing different types of denominations and an integer sum, the task is to count all combinations of coins to make a given value sum. Each index in this array represents the number of ways we can make the that amount of change using the coins we have. Aug 20, 2024 · The idea is to create a new array called ways[]. dp[0][0] will be set to 1 which represents the base case where the target sum is 0, and there is only one way to make the change by not selecting any coin. This is the best place to expand your knowledge and get prepared for your next interview. You may assume that you have an infinite number Can you solve this real interview question? Minimum Number of Coins to be Added - You are given a 0-indexed integer array coins, representing the values of the coins available, and an integer target. Can you solve this real interview question? Number of Ways to Earn Points - There is a test that has n types of questions. To further elaborate step 2, suppose you are processing the coin of value coin. Back in college, I was a CM on Codeforces and a 6★ on CodeChef. You may assume that you have an infinite number May 14, 2025 · This addition reflects the number of ways to make the amount i given that current coin is used. Coin Change : You are given an integer array coins representing coins of different denominations and an integer amount Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. In this video, we’ll solve the number of combinations version of Coin Change, step by step. In that case, we can return -1. “Coin Change —LeetCode 322” is published by Allie Hsu in Coder Life. You may assume that you have an infinite number Coin Change - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Return the minimum number of coins of any value that need to be added to the array so that every integer in the Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. The days of the year in which you will travel are given as an integer array days. For each amount from coin to amount, the number of new combinations that can include this coin is equal to the combinations that result in the amount amount - coin. You may assume that you have an infinite number Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Mar 14, 2025 · The idea is to find the minimum number of coins required to reach the target sum by trying each coin denomination in the coins [] array. The coins can be used an unlimited number of times, and the order of the coins used does not matter. Write a function to compute the fewest number of coins that you need to make up that amount. Jun 27, 2024 · Learn dynamic programming, BFS, and memoization techniques to solve the Coin Change problem on LeetCode with step-by-step Python solutions. ) Maximum number of ways- Coin Change 2 on Leetcode So, we have been given a coins array which consists of different denominations of the coins, and a total amount. Each pile consists of a positive number of coins of assorted denominations. , Sm} valued coins, how many ways can we Jul 23, 2025 · Count number of coins required to make a given value using Dynamic Programming (Tabulation): Step-by-step approach: Create a 2D dp array with rows and columns equal to the number of coin denominations and target sum. Example: Unlock the secrets of the Coin Change problem with our latest YouTube tutorial! Dive into the world of dynamic programming as we explore strategies for finding the fewest number of coins needed to Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. When processing each coin, iterate over amounts from the coin value to the target, updating dp. Coin Change - Leetcode Solution. Aug 11, 2023 · Welcome back to our daily LeetCode problem-solving series! Today, we’ll dive into problem 518, “Coin Change II. Coin Change Combination Problem Dynamic Programming Explained | Coin Change Minimum Number of Coins Coin Change - Dynamic Programming Bottom Up - Leetcode 322 LeetCode solutions in any programming language3592. Jun 14, 2020 · 2. In this post, we are going to solve the 518. In this video, we discuss the solution for the coin change combination problem where we need to find the combinations of numbers which sum up to a certain target where each number can be used May 1, 2017 · Welcome to Subscribe On Youtube 518. Coin Change - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. You may assume that you have an infinite number Struggling with the Coin Change problem? In this video, we’ll break it down step by step and solve it using Dynamic Programming with the Bottom-Up Approach. The problem statement is as follows: Problem Statement: You are given an integer array coins, representing coins of Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. In this post, we are going to solve the 322. You may assume that you have an infinite number of each kind of coin. You may assume that you have an infinite number Oct 17, 2016 · Welcome to Subscribe On Youtube 322. This problem 518. Jun 18, 2023 · The coin change problem can give number of wasys to make a sum S using different combination of coins any number of times. Let's see the code, 322. We are choosing bottom-up approach here, which is mainly using arrays , 1d or 2d. where number of ways to generate Coin Change - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Let's see the code, 518. Example 2: Input: total = 5, cost1 = 10, cost2 = 10 Output: 1 Explanation: The price of both pens and pencils are 10, which cost more than total, so you cannot buy any writing utensils. Mar 27, 2022 · This problem is similar to the unbounded knapsack where we have the choice to pick item any number of time 1: Here we can start pick a coin either from Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Starting from the target sum, for each coin coins [i], we can either include it or exclude it. Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. You may assume that you have an infinite number In-depth solution and explanation for LeetCode 518. We’ll start with a greedy approach to understand why it doesn’t always work, then Coin Change - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Master the Coin Change II problem (LeetCode 518) using Dynamic Programming. May 30, 2020 · Number of ways to change a coin Asked 4 years, 8 months ago Modified 4 years, 8 months ago Viewed 265 times Jun 22, 2025 · In this video, we solve Leetcode 3592: Inverse Coin Change, a medium-level dynamic programming (DP) problem involving coin change combinations and reconstruc Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. An integer x is obtainable if there exists a subsequence of coins that sums to x. You may assume that you have an infinite number Understanding the Coin Change Problem The Coin Change problem is a classic example of dynamic programming in action. Can you solve this real interview question? Minimum Cost For Tickets - You have planned some train traveling one year in advance. Inverse Coin Change Description You are given a 1-indexed integer array numWays, where numWays[i] represents the number of ways to select a total amount i using an infinite supply of some fixed coin denominations. Shared different cases, a. Return the number of ways you can earn exactly target points in Coin Change - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Is there a way to print all those ways too or is it an NP hard problem? Coin Change - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Nov 18, 2020 · LeetCode Challenge You are given coins of different denominations and a total amount of money amount. If the amount cannot be formed with any combination of coins, return -1. You may assume that you have an infinite number Jun 21, 2025 · Larry solves and analyzes this Leetcode problem as both an interviewer and an interviewee. You may assume that you have an infinite number The Coin Change problem in LeetCode is a classic algorithmic problem that deals with finding the minimum number of coins needed to make a specific amount of money (often referred to as the target amount) using a given set of coin denominations. You may assume that you have an infinite number In this video, we’ll go over the Coin Change problem from LeetCode (Problem #322) using Dynamic Programming. Credits: Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Instead of wasting time on Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Each denomination is a positive integer with value at most numWays. there should not be any combination of coins available which has the number of coins less than your answer. Learning any new technical skill Can you solve this real interview question? Maximum Number of Coins You Can Get - There are 3n piles of coins of varying size, you and your friends will take piles of coins as follows: * In each step, you will choose any 3 piles of coins (not necessarily consecutive). We can start by recursively subtracting each coin value from the amount and keep count of the coins used. Unlike Coin Change 1, where we Feb 6, 2023 · Now, we’ll introduce LeetCode 322. Obviously, the knowledge of SQL is expected, but looking at job descriptions, you might’ve noticed that Python is one of the skills in particularly high demand. Inverse Coin Change - LeetCode Wiki Home LeetCode Cracking the Coding Interview Focused Training Contest LeetCode Wiki doocs/leetcode Home LeetCode LeetCode Learn how to solve Leetcode Q2 Inverse Coin Change using Java. Note: You may assume that you have an infinite number of each kind of coin. Coin Change - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Can you solve this real interview question? Coin Change - Level up your coding skills and quickly land a job. You may assume that you have an infinite number Dec 5, 2021 · 2. Key Insights Use dynamic programming to build up the number of ways to form every amount up to the target. Interviewee: The brute-force approach involves trying all possible combinations of coins to find the minimum number of coins that sum up to the given amount. Aug 16, 2025 · The coin change II problem asks the number of ways to make up an amount using the given coins. Coins can be used any number of times. ” In this problem, we are tasked with counting the number of combinations that Coin Change - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Given an array of distinct coin denominations and a target amount, the task is to determine the minimum number of coins needed to make up that amount. Coin Change - Explanation Problem Link Description You are given two integer arrays nums1 and nums2, both sorted in non-decreasing order, along with two integers m and n, where: m is the number of valid elements in nums1, n is the number of elements in nums2. . The way to check for that is to check the condition where the last element equals amount + 1. Dec 5, 2021 · 2. Nov 20, 2022 · How to Solve Coin Change Problem — Leetcode 518 Java Solution for Leetcode 518 Originally published in https://asyncq. You may assume that you have an infinite number Aug 18, 2024 · If, at the end, we can't match the total amount with any combination of coins, we have to return -1. Struggling with the Coin Change problem? In this video, we’ll break it down step by step and solve it using Dynamic Programming with the Bottom-Up Approach. Base case: total greater or equal to the amount 2. ” In this problem, we are tasked with counting the number of combinations that You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Write a function to compute the number of combinations that make up that amount. Therefore, there is only 1 way: buy 0 pens and 0 pencils. This problem tests optimization under constraints and Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. There are two coin chain problems: the minimum coins problem and the coin change combination problem. * Of your choice, Alice will pick the pile with the maximum number of coins. In this video, we solve Leetcode Problem 3592 - Inverse Coin Change. Iterate through the Coin Change - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Train tickets are sold in three different ways: * a 1-day pass is sold for costs[0] dollars, * a 7-day pass is sold for costs[1] dollars, and * a Mar 30, 2022 · Difficulty: Medium; Category: Dynamic Programming. Coin Change You are given coins of different denominations and a total amount of money amount. Otherwise, we'll just return the last element which holds the minimum number of coins that make up the amount: Jun 16, 2022 · Explore three different solutions to a difficult Python problem “LeetCode Coin Change Problem” To maximize their chances of landing a job, beginner data scientists should learn a new skill. Coin Change Description You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. 1. If that amount of money cannot be made up by any combination of the coins, return 0. If that amount of money cannot be made up by any combination of the coins, return -1. Explained the problem statement with examples. length. Coin Change II in Python, Java, C++ and more. You may assume that you have an infinite Jun 21, 2025 · From brute force to optimal — explore the DP strategy for solving Coin Change with real examples and step-by-step explanation. You may assume that you have an infinite number To see how the elements of dynamic programming come together in a real problem, let’s explore the classic dynamic programming problem Coin Change (LeetCode 322). Coin change is a classic dynamic programming problem. Coin Change 2 is a Leetcode medium level problem. I will proceed with an obvious (albeit wrong) solution and subsequently proceed to an efficient correct solution. A one-dimensional dp array suffices, where dp [j] represents the number of ways to form sum j. If that amount of money cannot be made up Inverse Coin Change - You are given a 1-indexed integer array numWays, where numWays [i] represents the number of ways to select a total amount i using an infinite supply of some fixed coin denominations. Coin Change II Description You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Coin Change is a Leetcode medium level problem. You are given an integer target and a 0-indexed 2D integer array types where types[i] = [counti, marksi] indicates that there are counti questions of the ith type, and each one of them is worth marksi points. The array nums1 has a total length of (m+n), with the first m elements containing the values to be merged, and the last n elements Jan 6, 2021 · Coin Change - Dynamic Programming Bottom Up - Leetcode 322 NeetCode 1M subscribers Subscribe Mar 14, 2025 · The idea is to find the minimum number of coins required to reach the target sum by trying each coin denomination in the coins [] array. Coin Change 2 - Leetcode Solution. […] Help with leetcode: Coin Change Problem: given an array of coin values and a target amount, return the least number of coins required to reach the target amount, or -1 if no combination of coins can reach the target. You may assume that you have an infinite number Nov 24, 2024 · Here's the approach: Initialization: Create an array dp of length amount + 1 where each element represents the minimum number of coins needed to achieve that amount. Is there a way to print all those ways too or is it an NP hard problem? Coin Change (LeetCode 322) | Full solution with beautiful diagrams and visuals | Simplified Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Coin Change- 1 Here you need to find the minimum number of coins needed to make the amount. Each day is an integer from 1 to 365. 2. Aug 18, 2024 · August 18, 2024 Computer Science TypeScript JavaScript LeetCode Meditations: Coin Change Let's start with the description for this problem: You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. You may Can you solve this real interview question? Maximum Value of K Coins From Piles - There are n piles of coins on a table. Interviewer: Sure, let’s discuss the brute-force approach first. This is a classic example of the Unbounded Knapsack Problem where each coin can be used an unlimited number of times. In one move, you can choose any coin on top of any pile, remove it, and add it to your wallet. Given a list piles, where piles[i] is a list of integers denoting the composition of the ith pile from Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. You may assume that you have an Hi, in this video, i have explained LeetCode problem 3592. The Geek Hub for Discussions, Learning, and Networking. Coin Change, which is a classic DP problem: You are given an integer array coins representing coins of different denominations and an integer amount Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Dec 18, 2023 · Variation of coin change. You're given an array numWays [] where numWays [i] represents the number of ways to make amount i using an unknown set of coin Jan 20, 2019 · Total Unique Ways To Make Change - Dynamic Programming ("Coin Change 2" on LeetCode) Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. This is a live recording of a real engineer solving a problem liv Jul 24, 2025 · 3592. Return the fewest number of coins that you need to make up that amount. The problem statement is as follows: Problem Statement: You are given an integer array coins, representing coins of Total Unique Ways To Make Change - Dynamic Programming ("Coin Change 2" on LeetCode) This Is How The World's Strongest Anchor Chains Are Made | by @Satisfyingtech116 Can you solve this real interview question? Coin Change II - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. We need to find the coins array, using w Can you solve this real interview question? Number of Ways to Earn Points - There is a test that has n types of questions. You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. This video explains the approach, intuition, recursion with memoization, and builds the coin denominations step-by-step to match The total number of ways to buy pens and pencils is 5 + 3 + 1 = 9. The array nums1 has a total length of (m+n), with the first m elements containing the values to be merged, and the last n elements Jan 6, 2021 · Coin Change - Dynamic Programming Bottom Up - Leetcode 322 NeetCode 1M subscribers Subscribe Coin Change - You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money. Example: Unlock the secrets of the Coin Change problem with our latest YouTube tutorial! Dive into the world of dynamic programming as we explore strategies for finding the fewest number of coins needed to Dec 5, 2021 · 2. This implementation is efficient and handles edge cases like when amount = 0 or coins contains duplicates. Feb 5, 2020 · Coin Change Problem Maximum Number of ways Given a value N, if we want to make change for N cents, and we have infinite supply of each of S = { S1, S2, . May 25, 2025 · The Coin Change problem can be formally stated as follows: Given an array of coin denominations coins and a target sum sum, the task is to find the number of distinct ways to make the target sum using the available coins. May 1, 2024 · Coin Change II LeetCode Problem 518 [Python Solution] The Coin Change II problem is a classic dynamic programming problem that falls under the category of 2-D Dynamic Programming. This problem 322. aozpqn iuyx lhkvzyym qjpv bldwl mxxz tttoj fbaxl umwtga vgxgw xhub zaclmpjs jcmq ttrsj hyk