diff --git a/src/main/java/com/thealgorithms/dynamicprogramming/RodCutting.java b/src/main/java/com/thealgorithms/dynamicprogramming/RodCutting.java index 28ff41d1a..4583aec2e 100644 --- a/src/main/java/com/thealgorithms/dynamicprogramming/RodCutting.java +++ b/src/main/java/com/thealgorithms/dynamicprogramming/RodCutting.java @@ -1,32 +1,37 @@ package com.thealgorithms.dynamicprogramming; /** - * A DynamicProgramming solution for Rod cutting problem Returns the best - * obtainable price for a rod of length n and price[] as prices of different - * pieces + * A Dynamic Programming solution for the Rod cutting problem. + * Returns the best obtainable price for a rod of length n and price[] as prices of different pieces. */ public class RodCutting { - private static int cutRod(int[] price, int n) { + /** + * This method calculates the maximum obtainable value for cutting a rod of length n + * into different pieces, given the prices for each possible piece length. + * + * @param price An array representing the prices of different pieces, where price[i-1] + * represents the price of a piece of length i. + * @param n The length of the rod to be cut. + * @return The maximum obtainable value. + */ + public static int cutRod(int[] price, int n) { + // Create an array to store the maximum obtainable values for each rod length. int[] val = new int[n + 1]; val[0] = 0; + // Calculate the maximum value for each rod length from 1 to n. for (int i = 1; i <= n; i++) { - int max_val = Integer.MIN_VALUE; - for (int j = 0; j < i; j++) { - max_val = Math.max(max_val, price[j] + val[i - j - 1]); + int maxVal = Integer.MIN_VALUE; + // Try all possible ways to cut the rod and find the maximum value. + for (int j = 1; j <= i; j++) { + maxVal = Math.max(maxVal, price[j - 1] + val[i - j]); } - - val[i] = max_val; + // Store the maximum value for the current rod length. + val[i] = maxVal; } + // The final element of 'val' contains the maximum obtainable value for a rod of length 'n'. return val[n]; } - - // main function to test - public static void main(String[] args) { - int[] arr = new int[] {2, 5, 13, 19, 20}; - int result = cutRod(arr, arr.length); - System.out.println("Maximum Obtainable Value is " + result); - } }