Advanced Stair Climbing and Coin Change Solutions Using Dynamic Programming

Advanced Stair Climbing Problem Statement: Given a staircase with n steps, determine the number of distinct ways to reach the top if you can climb between 1 and m steps at a time. Each step increment can be reused any number of times. Solution Approach This problem is modeled as a complete knapsack problem where step increments represent items ...

Posted on Tue, 19 May 2026 21:41:40 +0000 by peytonrm

Minimum Coin Change Problem Solutions

Given an integer array representing coin denominattions and a target amount, determine the minimum number of coins required to make up that amount. Return -1 if no valid combination exists. Coins can be used unlimited times. Recursive Approach A recursive function findMinCoins(int[] denominations, int target) calculates the minimum coins needed ...

Posted on Wed, 13 May 2026 13:57:02 +0000 by rookie