MaximumSumSubsequence.java

package com.interview.dynamic;

/**
 * Problem Statement:
 *
 * Given an array of n positive integers. Write a program to find the sum of maximum sum subsequence of the given array
 * such that the integers in the subsequence are in increasing order.
 *
 *
 * Video: https://youtu.be/99ssGWhLPUE
 *
 * Reference:
 * http://www.geeksforgeeks.org/dynamic-programming-set-14-maximum-sum-increasing-subsequence/
 */
public class MaximumSumSubsequence {

    public int maxSum(int arr[]){
        int T[] = new int[arr.length];

        for (int i = 0; i < T.length; i++) {
            T[i] = arr[i];
        }

        for(int i=1; i < T.length; i++){
            for(int j = 0; j < i; j++){
                if(arr[j] < arr[i]){
                    T[i] = Math.max(T[i], T[j] + arr[i]);
                }
            }
        }

        int max = T[0];
        for (int i=1; i < T.length; i++){
            if(T[i] > max){
                max = T[i];
            }
        }
        return max;
    }
    
    public static void main(String args[]){
        MaximumSumSubsequence mss = new MaximumSumSubsequence();
        int arr[] = {1, 101, 10, 2, 3, 100,4};
        int r = mss.maxSum(arr);
        System.out.print(r);
    }
}