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PODynamic Programming - making change
 

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    <p>I'm having trouble figuring out my last section of code for a Dynamic Coin Changing Problem. I have included the code below.</p> <p>I can't figure out the last <code>else</code>. Should I just use the greedy algorithm at that point or can I calculate the answer from values already in the table? I've worked hard on trying to understand this problem and I think I'm pretty close. The method finds the minimum amount of coins needed to make a certain amout of change by creating a table and using the results that are stored in the table to solve the larger problem without using recursion.</p> <pre><code>public static int minCoins(int[] denom, int targetAmount){ int denomPosition; // Position in denom[] where the first spot // is the largest coin and includes every coin // smaller. int currentAmount; // The Amount of money that needs to be made // remainingAmount &lt;= initalAmount int[][] table = new int[denom.length][targetAmount+1]; for(denomPosition = denom.length-1 ; denomPosition &gt;= 0 ; denomPosition--) { for(currentAmount = 0 ; currentAmount &lt;= targetAmount ; currentAmount++){ if (denomPosition == denom.length-1){ table[denomPosition][currentAmount] = currentAmount/denom[denomPosition]; } else if (currentAmount&lt;denom[denomPosition]){ table[denomPosition][currentAmount] = table[denomPosition+1][currentAmount]; } else{ table[denomPosition][currentAmount] = table[denomPosition+1][currentAmount]- table[denomPosition][denom[denomPosition]]-1; } } } return table[0][targetAmount]; } </code></pre>
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